Etymology of word “Octave”

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How come the etymology of the word octave is related to the number eight, when the numbers that you would associate with the meaning of the word are either two – doubling of the frequency – , or alternatively five, seven, or twelve, if we think about the number of notes within commonly used scales, starting from any note and stopping one octave higher?



Etymology dictionaries don't help as they simply point out the Latin root of the word - Related to the number eight – and also the Wikipedia article doesn't seem to mention anything about this.



My question is thus about why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which is itself salient only in western cultures, and even there with strong competition from other scale types such as the chromatic or pentatonic. Why, then, is the interval that doubles the pitch not called a pent for instance?










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  • 1




    The frequencies have very little to do with it.
    – Neil Meyer
    18 hours ago










  • "as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
    – eques
    16 hours ago










  • Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
    – AJFaraday
    3 hours ago














up vote
6
down vote

favorite












How come the etymology of the word octave is related to the number eight, when the numbers that you would associate with the meaning of the word are either two – doubling of the frequency – , or alternatively five, seven, or twelve, if we think about the number of notes within commonly used scales, starting from any note and stopping one octave higher?



Etymology dictionaries don't help as they simply point out the Latin root of the word - Related to the number eight – and also the Wikipedia article doesn't seem to mention anything about this.



My question is thus about why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which is itself salient only in western cultures, and even there with strong competition from other scale types such as the chromatic or pentatonic. Why, then, is the interval that doubles the pitch not called a pent for instance?










share|improve this question



















  • 1




    The frequencies have very little to do with it.
    – Neil Meyer
    18 hours ago










  • "as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
    – eques
    16 hours ago










  • Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
    – AJFaraday
    3 hours ago












up vote
6
down vote

favorite









up vote
6
down vote

favorite











How come the etymology of the word octave is related to the number eight, when the numbers that you would associate with the meaning of the word are either two – doubling of the frequency – , or alternatively five, seven, or twelve, if we think about the number of notes within commonly used scales, starting from any note and stopping one octave higher?



Etymology dictionaries don't help as they simply point out the Latin root of the word - Related to the number eight – and also the Wikipedia article doesn't seem to mention anything about this.



My question is thus about why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which is itself salient only in western cultures, and even there with strong competition from other scale types such as the chromatic or pentatonic. Why, then, is the interval that doubles the pitch not called a pent for instance?










share|improve this question















How come the etymology of the word octave is related to the number eight, when the numbers that you would associate with the meaning of the word are either two – doubling of the frequency – , or alternatively five, seven, or twelve, if we think about the number of notes within commonly used scales, starting from any note and stopping one octave higher?



Etymology dictionaries don't help as they simply point out the Latin root of the word - Related to the number eight – and also the Wikipedia article doesn't seem to mention anything about this.



My question is thus about why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which is itself salient only in western cultures, and even there with strong competition from other scale types such as the chromatic or pentatonic. Why, then, is the interval that doubles the pitch not called a pent for instance?







theory intervals






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edited 13 mins ago









user45266

1,129221




1,129221










asked 18 hours ago









z8080

1525




1525







  • 1




    The frequencies have very little to do with it.
    – Neil Meyer
    18 hours ago










  • "as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
    – eques
    16 hours ago










  • Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
    – AJFaraday
    3 hours ago












  • 1




    The frequencies have very little to do with it.
    – Neil Meyer
    18 hours ago










  • "as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
    – eques
    16 hours ago










  • Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
    – AJFaraday
    3 hours ago







1




1




The frequencies have very little to do with it.
– Neil Meyer
18 hours ago




The frequencies have very little to do with it.
– Neil Meyer
18 hours ago












"as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
– eques
16 hours ago




"as they simply point out the Latin root" you mean "ocatvus" meaning the 8th as in it is the 8th note?
– eques
16 hours ago












Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
– AJFaraday
3 hours ago




Choose a scale, start on it's root, or 1st, note. Move one step up the scale 7 times. Those are the second, third, fourth, fifth, sixth and seventh notes. The next one is called the eighth, or octave.
– AJFaraday
3 hours ago










7 Answers
7






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up vote
11
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It's because in music, when you're talking about intervals, you count the first note, all notes in between, as well as the final note. For example, if you play two notes that are right next to each other, the interval is a second - even though the second note is just "one note" away from the first. In fact, if you play the same note at the same time, it's called a prime, even though there's no distance between those two notes. A third is only two whole notes apart, a fourth only three, and so on. And the same way, an octave is only seven whole notes apart.






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trainman261 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 2




    +1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
    – Henning Makholm
    12 hours ago

















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10
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The octave would be the eighth note. There are seven scale degrees and if you take an additional step, you will land on the octave.






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  • Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
    – z8080
    18 hours ago






  • 1




    Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
    – leftaroundabout
    3 hours ago











  • Excellent point, hadn't thought about it this way, thank you!
    – z8080
    2 hours ago

















up vote
6
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An octave is the space, pitch wise, which can be divided into eight. With seven intervals between. Take the octave C-C. C D E F G A B C eight notes later we're back on C.



You certainly wouldn't say 'octave of C is B', surely? The first C is not no. 0, like the start of a ruler, or a stopwatch. It's 1.






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  • 1




    Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
    – z8080
    18 hours ago






  • 1




    It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
    – Basstickler
    17 hours ago










  • Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
    – z8080
    17 hours ago










  • "[Counting in] music is not baseball." -- my MT teacher
    – OldBunny2800
    14 hours ago










  • "An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
    – Eric Duminil
    2 hours ago

















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3
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Your argument is, then, why is is not a "hexave" instead of an octave in the case of, say, a pentatonic scale and not a diatonic scale?



That is because in the standard western system, a pentatonic scale is represented with note names that correspond with the idea of the diatonic scale. It is more correct to say that, calling it an octave and using diatonic names is an approximation applied unto other scale types, for the sake of keeping talk about music the same.



It would otherwise be chaotic if, say, you have a pentatonic scale written C-D-E-A-B-C and a diatonic scale C-D-E-F-G-A-B-C, and the only notes on which people can agree on the sound on are then C, because they are at similar frequency intervals, but none of the degrees are agreeable.



It makes more sense to keep to a standard, if you will, so that music discussion is always on the same page. Given that the western standard of music revolves around the diatonic, when talking about music from a western perspective, it would make more sense to describe the pentatonic in terms of the diatonic, that is, assuming the Major Pentatonic scale, what would have been C-D-E-A-B-C in its own pentatonic format would be represented as C-D-E-G-A-C in the western standard, aligning the pitches of the diatonic and the pentatonic. Therefore, the "hexave" is the same as the octave, so for simplicity's sake, we refer to it as just the octave instead.






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  • Very well put, thanks for you answer
    – z8080
    2 hours ago

















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The term "octave" originated in the west, so it should be no surprise that it's based on features of western music. And the diatonic scale really is central in western music, as evidenced by the fact that a piano has eight white keys in an octave, and the notes are named by eight letters, modified by sharps and flats. Other answers have made similar points with more sophistication, but I thought it would be good to have those two points up at the front of an answer.






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  • Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
    – Lightness Races in Orbit
    51 mins ago

















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I don't have a source for this, but it seems self-evident to me that the context in which this term was developed was not an environment in which "pent" was a contending alternative - nor "sept", twelve, or any other number of scale degrees.



You seem to want to deny the saliency of the Western system, and the relevancy of the diatonic scale. You do make the valid point that today chromatic and pentatonic scales could arguably be "strong competitors" against the diatonic, but for one thing that wasn't true in the time and place when the expression "octave" came about, and for another the competition developed within the Western system in a context in which the term "octave" had already long since been defined. With the possible exception of very early Greek musical analysis, I (again unsourced) just cannot imagine a time when anyone talking about a chromatic scale or a pentatonic scale would have seriously considered trying to ignore the traditional diatonic modes in describing those scales.



The answer to your question seems to be, the reason we use the term "octave" even when "it's not all about the notes of the diatonic" is, at the time the term was developed, it was - and it has not stopped being useful within more-recent developments which use scales of some number of degrees different from the diatonic. People know what it means, people know why it means what it means, it would be asking more of them to throw it away and make up a different term than it is to just ask them to keep talking about "octaves" in the context of non-diatonic scales.






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  • Good point, these points certainly became clearer to me while reading some of the excellent answers in here
    – z8080
    2 hours ago

















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1
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If you know some computer programming languages, note that in some of them the arrays begin with the index 0 and in others with 1. I'd say the way we count intervals is one-based, that's all :P If you count in one direction until you find the same note, you get the number 8.






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  • You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
    – z8080
    15 hours ago






  • 1




    Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
    – Allan Felipe
    11 hours ago










  • You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
    – z8080
    2 hours ago










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7 Answers
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7 Answers
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active

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up vote
11
down vote













It's because in music, when you're talking about intervals, you count the first note, all notes in between, as well as the final note. For example, if you play two notes that are right next to each other, the interval is a second - even though the second note is just "one note" away from the first. In fact, if you play the same note at the same time, it's called a prime, even though there's no distance between those two notes. A third is only two whole notes apart, a fourth only three, and so on. And the same way, an octave is only seven whole notes apart.






share|improve this answer








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trainman261 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 2




    +1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
    – Henning Makholm
    12 hours ago














up vote
11
down vote













It's because in music, when you're talking about intervals, you count the first note, all notes in between, as well as the final note. For example, if you play two notes that are right next to each other, the interval is a second - even though the second note is just "one note" away from the first. In fact, if you play the same note at the same time, it's called a prime, even though there's no distance between those two notes. A third is only two whole notes apart, a fourth only three, and so on. And the same way, an octave is only seven whole notes apart.






share|improve this answer








New contributor




trainman261 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.













  • 2




    +1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
    – Henning Makholm
    12 hours ago












up vote
11
down vote










up vote
11
down vote









It's because in music, when you're talking about intervals, you count the first note, all notes in between, as well as the final note. For example, if you play two notes that are right next to each other, the interval is a second - even though the second note is just "one note" away from the first. In fact, if you play the same note at the same time, it's called a prime, even though there's no distance between those two notes. A third is only two whole notes apart, a fourth only three, and so on. And the same way, an octave is only seven whole notes apart.






share|improve this answer








New contributor




trainman261 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









It's because in music, when you're talking about intervals, you count the first note, all notes in between, as well as the final note. For example, if you play two notes that are right next to each other, the interval is a second - even though the second note is just "one note" away from the first. In fact, if you play the same note at the same time, it's called a prime, even though there's no distance between those two notes. A third is only two whole notes apart, a fourth only three, and so on. And the same way, an octave is only seven whole notes apart.







share|improve this answer








New contributor




trainman261 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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share|improve this answer



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answered 12 hours ago









trainman261

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  • 2




    +1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
    – Henning Makholm
    12 hours ago












  • 2




    +1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
    – Henning Makholm
    12 hours ago







2




2




+1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
– Henning Makholm
12 hours ago




+1, this point was somehow missed in the other answers. The only thing that's new with the octave is that the English interval names suddenly drop from counting in English to counting in Latin: "... fifth, sixth, seventh, octave, ninth ..." But some other European language uses Latin names throughout for these intervals, eg. German: "... Quite, Sexte, Septime, Octave, None ..."
– Henning Makholm
12 hours ago










up vote
10
down vote













The octave would be the eighth note. There are seven scale degrees and if you take an additional step, you will land on the octave.






share|improve this answer






















  • Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
    – z8080
    18 hours ago






  • 1




    Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
    – leftaroundabout
    3 hours ago











  • Excellent point, hadn't thought about it this way, thank you!
    – z8080
    2 hours ago














up vote
10
down vote













The octave would be the eighth note. There are seven scale degrees and if you take an additional step, you will land on the octave.






share|improve this answer






















  • Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
    – z8080
    18 hours ago






  • 1




    Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
    – leftaroundabout
    3 hours ago











  • Excellent point, hadn't thought about it this way, thank you!
    – z8080
    2 hours ago












up vote
10
down vote










up vote
10
down vote









The octave would be the eighth note. There are seven scale degrees and if you take an additional step, you will land on the octave.






share|improve this answer














The octave would be the eighth note. There are seven scale degrees and if you take an additional step, you will land on the octave.







share|improve this answer














share|improve this answer



share|improve this answer








edited 16 hours ago









anatolyg

1,23911434




1,23911434










answered 18 hours ago









Basstickler

5,8901032




5,8901032











  • Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
    – z8080
    18 hours ago






  • 1




    Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
    – leftaroundabout
    3 hours ago











  • Excellent point, hadn't thought about it this way, thank you!
    – z8080
    2 hours ago
















  • Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
    – z8080
    18 hours ago






  • 1




    Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
    – leftaroundabout
    3 hours ago











  • Excellent point, hadn't thought about it this way, thank you!
    – z8080
    2 hours ago















Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
– z8080
18 hours ago




Thanks for your answer! I noticed the other one first, which is similar, and replied to it in the comments.
– z8080
18 hours ago




1




1




Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
– leftaroundabout
3 hours ago





Even if you subscribe to 1-based ordinal counting (which you shouldn't, but this is ultimately an arbitrary convention) then there's still no good argument to be had for the way intervals are labelled, i.e. cardinal counting. It's just wrong, a historic mistake. Yes, you can label the octave's scale degree with the number Ⅷ, but there is no talking around that you needed only seven steps to get there.
– leftaroundabout
3 hours ago













Excellent point, hadn't thought about it this way, thank you!
– z8080
2 hours ago




Excellent point, hadn't thought about it this way, thank you!
– z8080
2 hours ago










up vote
6
down vote













An octave is the space, pitch wise, which can be divided into eight. With seven intervals between. Take the octave C-C. C D E F G A B C eight notes later we're back on C.



You certainly wouldn't say 'octave of C is B', surely? The first C is not no. 0, like the start of a ruler, or a stopwatch. It's 1.






share|improve this answer
















  • 1




    Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
    – z8080
    18 hours ago






  • 1




    It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
    – Basstickler
    17 hours ago










  • Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
    – z8080
    17 hours ago










  • "[Counting in] music is not baseball." -- my MT teacher
    – OldBunny2800
    14 hours ago










  • "An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
    – Eric Duminil
    2 hours ago














up vote
6
down vote













An octave is the space, pitch wise, which can be divided into eight. With seven intervals between. Take the octave C-C. C D E F G A B C eight notes later we're back on C.



You certainly wouldn't say 'octave of C is B', surely? The first C is not no. 0, like the start of a ruler, or a stopwatch. It's 1.






share|improve this answer
















  • 1




    Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
    – z8080
    18 hours ago






  • 1




    It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
    – Basstickler
    17 hours ago










  • Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
    – z8080
    17 hours ago










  • "[Counting in] music is not baseball." -- my MT teacher
    – OldBunny2800
    14 hours ago










  • "An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
    – Eric Duminil
    2 hours ago












up vote
6
down vote










up vote
6
down vote









An octave is the space, pitch wise, which can be divided into eight. With seven intervals between. Take the octave C-C. C D E F G A B C eight notes later we're back on C.



You certainly wouldn't say 'octave of C is B', surely? The first C is not no. 0, like the start of a ruler, or a stopwatch. It's 1.






share|improve this answer












An octave is the space, pitch wise, which can be divided into eight. With seven intervals between. Take the octave C-C. C D E F G A B C eight notes later we're back on C.



You certainly wouldn't say 'octave of C is B', surely? The first C is not no. 0, like the start of a ruler, or a stopwatch. It's 1.







share|improve this answer












share|improve this answer



share|improve this answer










answered 18 hours ago









Tim

91.5k1094230




91.5k1094230







  • 1




    Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
    – z8080
    18 hours ago






  • 1




    It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
    – Basstickler
    17 hours ago










  • Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
    – z8080
    17 hours ago










  • "[Counting in] music is not baseball." -- my MT teacher
    – OldBunny2800
    14 hours ago










  • "An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
    – Eric Duminil
    2 hours ago












  • 1




    Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
    – z8080
    18 hours ago






  • 1




    It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
    – Basstickler
    17 hours ago










  • Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
    – z8080
    17 hours ago










  • "[Counting in] music is not baseball." -- my MT teacher
    – OldBunny2800
    14 hours ago










  • "An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
    – Eric Duminil
    2 hours ago







1




1




Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
– z8080
18 hours ago




Of course - but that still assumes that the diatonic scale, with its 7 - 8 if you count the same note reached again - is the only way to divide the doubling-of-frequency space, or at least the most salient, whereas I would suspect it wasn't at the time when the meaning of the word came into use, not even in the Western world!
– z8080
18 hours ago




1




1




It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
– Basstickler
17 hours ago




It's my understanding that at the time of developing the scales, which were derived from simple ratios, there were 7 notes per octave, so the eighth was named based on the word for 8. There are plenty of ways to divide the octave but at the time the term was invented, there was really only the one approach.
– Basstickler
17 hours ago












Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
– z8080
17 hours ago




Well in that case this would be a very obvious explanation as to the link between the number 8 and the physical concept of octave. I didn't know this was the case – many thanks for your contribution
– z8080
17 hours ago












"[Counting in] music is not baseball." -- my MT teacher
– OldBunny2800
14 hours ago




"[Counting in] music is not baseball." -- my MT teacher
– OldBunny2800
14 hours ago












"An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
– Eric Duminil
2 hours ago




"An octave is the space, pitch wise, which can be divided into eight". I don't understand this explanation. As you said, there are seven intervals inbetween.
– Eric Duminil
2 hours ago










up vote
3
down vote













Your argument is, then, why is is not a "hexave" instead of an octave in the case of, say, a pentatonic scale and not a diatonic scale?



That is because in the standard western system, a pentatonic scale is represented with note names that correspond with the idea of the diatonic scale. It is more correct to say that, calling it an octave and using diatonic names is an approximation applied unto other scale types, for the sake of keeping talk about music the same.



It would otherwise be chaotic if, say, you have a pentatonic scale written C-D-E-A-B-C and a diatonic scale C-D-E-F-G-A-B-C, and the only notes on which people can agree on the sound on are then C, because they are at similar frequency intervals, but none of the degrees are agreeable.



It makes more sense to keep to a standard, if you will, so that music discussion is always on the same page. Given that the western standard of music revolves around the diatonic, when talking about music from a western perspective, it would make more sense to describe the pentatonic in terms of the diatonic, that is, assuming the Major Pentatonic scale, what would have been C-D-E-A-B-C in its own pentatonic format would be represented as C-D-E-G-A-C in the western standard, aligning the pitches of the diatonic and the pentatonic. Therefore, the "hexave" is the same as the octave, so for simplicity's sake, we refer to it as just the octave instead.






share|improve this answer




















  • Very well put, thanks for you answer
    – z8080
    2 hours ago














up vote
3
down vote













Your argument is, then, why is is not a "hexave" instead of an octave in the case of, say, a pentatonic scale and not a diatonic scale?



That is because in the standard western system, a pentatonic scale is represented with note names that correspond with the idea of the diatonic scale. It is more correct to say that, calling it an octave and using diatonic names is an approximation applied unto other scale types, for the sake of keeping talk about music the same.



It would otherwise be chaotic if, say, you have a pentatonic scale written C-D-E-A-B-C and a diatonic scale C-D-E-F-G-A-B-C, and the only notes on which people can agree on the sound on are then C, because they are at similar frequency intervals, but none of the degrees are agreeable.



It makes more sense to keep to a standard, if you will, so that music discussion is always on the same page. Given that the western standard of music revolves around the diatonic, when talking about music from a western perspective, it would make more sense to describe the pentatonic in terms of the diatonic, that is, assuming the Major Pentatonic scale, what would have been C-D-E-A-B-C in its own pentatonic format would be represented as C-D-E-G-A-C in the western standard, aligning the pitches of the diatonic and the pentatonic. Therefore, the "hexave" is the same as the octave, so for simplicity's sake, we refer to it as just the octave instead.






share|improve this answer




















  • Very well put, thanks for you answer
    – z8080
    2 hours ago












up vote
3
down vote










up vote
3
down vote









Your argument is, then, why is is not a "hexave" instead of an octave in the case of, say, a pentatonic scale and not a diatonic scale?



That is because in the standard western system, a pentatonic scale is represented with note names that correspond with the idea of the diatonic scale. It is more correct to say that, calling it an octave and using diatonic names is an approximation applied unto other scale types, for the sake of keeping talk about music the same.



It would otherwise be chaotic if, say, you have a pentatonic scale written C-D-E-A-B-C and a diatonic scale C-D-E-F-G-A-B-C, and the only notes on which people can agree on the sound on are then C, because they are at similar frequency intervals, but none of the degrees are agreeable.



It makes more sense to keep to a standard, if you will, so that music discussion is always on the same page. Given that the western standard of music revolves around the diatonic, when talking about music from a western perspective, it would make more sense to describe the pentatonic in terms of the diatonic, that is, assuming the Major Pentatonic scale, what would have been C-D-E-A-B-C in its own pentatonic format would be represented as C-D-E-G-A-C in the western standard, aligning the pitches of the diatonic and the pentatonic. Therefore, the "hexave" is the same as the octave, so for simplicity's sake, we refer to it as just the octave instead.






share|improve this answer












Your argument is, then, why is is not a "hexave" instead of an octave in the case of, say, a pentatonic scale and not a diatonic scale?



That is because in the standard western system, a pentatonic scale is represented with note names that correspond with the idea of the diatonic scale. It is more correct to say that, calling it an octave and using diatonic names is an approximation applied unto other scale types, for the sake of keeping talk about music the same.



It would otherwise be chaotic if, say, you have a pentatonic scale written C-D-E-A-B-C and a diatonic scale C-D-E-F-G-A-B-C, and the only notes on which people can agree on the sound on are then C, because they are at similar frequency intervals, but none of the degrees are agreeable.



It makes more sense to keep to a standard, if you will, so that music discussion is always on the same page. Given that the western standard of music revolves around the diatonic, when talking about music from a western perspective, it would make more sense to describe the pentatonic in terms of the diatonic, that is, assuming the Major Pentatonic scale, what would have been C-D-E-A-B-C in its own pentatonic format would be represented as C-D-E-G-A-C in the western standard, aligning the pitches of the diatonic and the pentatonic. Therefore, the "hexave" is the same as the octave, so for simplicity's sake, we refer to it as just the octave instead.







share|improve this answer












share|improve this answer



share|improve this answer










answered 12 hours ago









psosuna

43317




43317











  • Very well put, thanks for you answer
    – z8080
    2 hours ago
















  • Very well put, thanks for you answer
    – z8080
    2 hours ago















Very well put, thanks for you answer
– z8080
2 hours ago




Very well put, thanks for you answer
– z8080
2 hours ago










up vote
3
down vote













The term "octave" originated in the west, so it should be no surprise that it's based on features of western music. And the diatonic scale really is central in western music, as evidenced by the fact that a piano has eight white keys in an octave, and the notes are named by eight letters, modified by sharps and flats. Other answers have made similar points with more sophistication, but I thought it would be good to have those two points up at the front of an answer.






share|improve this answer








New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

















  • Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
    – Lightness Races in Orbit
    51 mins ago














up vote
3
down vote













The term "octave" originated in the west, so it should be no surprise that it's based on features of western music. And the diatonic scale really is central in western music, as evidenced by the fact that a piano has eight white keys in an octave, and the notes are named by eight letters, modified by sharps and flats. Other answers have made similar points with more sophistication, but I thought it would be good to have those two points up at the front of an answer.






share|improve this answer








New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

















  • Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
    – Lightness Races in Orbit
    51 mins ago












up vote
3
down vote










up vote
3
down vote









The term "octave" originated in the west, so it should be no surprise that it's based on features of western music. And the diatonic scale really is central in western music, as evidenced by the fact that a piano has eight white keys in an octave, and the notes are named by eight letters, modified by sharps and flats. Other answers have made similar points with more sophistication, but I thought it would be good to have those two points up at the front of an answer.






share|improve this answer








New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









The term "octave" originated in the west, so it should be no surprise that it's based on features of western music. And the diatonic scale really is central in western music, as evidenced by the fact that a piano has eight white keys in an octave, and the notes are named by eight letters, modified by sharps and flats. Other answers have made similar points with more sophistication, but I thought it would be good to have those two points up at the front of an answer.







share|improve this answer








New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this answer



share|improve this answer






New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









answered 7 hours ago









Mark Foskey

1312




1312




New contributor




Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Mark Foskey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
    – Lightness Races in Orbit
    51 mins ago
















  • Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
    – Lightness Races in Orbit
    51 mins ago















Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
– Lightness Races in Orbit
51 mins ago




Exactly this. OP seems surprised that the word would be based on Western musical conventions, but it's a Western word so why not!
– Lightness Races in Orbit
51 mins ago










up vote
2
down vote













I don't have a source for this, but it seems self-evident to me that the context in which this term was developed was not an environment in which "pent" was a contending alternative - nor "sept", twelve, or any other number of scale degrees.



You seem to want to deny the saliency of the Western system, and the relevancy of the diatonic scale. You do make the valid point that today chromatic and pentatonic scales could arguably be "strong competitors" against the diatonic, but for one thing that wasn't true in the time and place when the expression "octave" came about, and for another the competition developed within the Western system in a context in which the term "octave" had already long since been defined. With the possible exception of very early Greek musical analysis, I (again unsourced) just cannot imagine a time when anyone talking about a chromatic scale or a pentatonic scale would have seriously considered trying to ignore the traditional diatonic modes in describing those scales.



The answer to your question seems to be, the reason we use the term "octave" even when "it's not all about the notes of the diatonic" is, at the time the term was developed, it was - and it has not stopped being useful within more-recent developments which use scales of some number of degrees different from the diatonic. People know what it means, people know why it means what it means, it would be asking more of them to throw it away and make up a different term than it is to just ask them to keep talking about "octaves" in the context of non-diatonic scales.






share|improve this answer




















  • Good point, these points certainly became clearer to me while reading some of the excellent answers in here
    – z8080
    2 hours ago














up vote
2
down vote













I don't have a source for this, but it seems self-evident to me that the context in which this term was developed was not an environment in which "pent" was a contending alternative - nor "sept", twelve, or any other number of scale degrees.



You seem to want to deny the saliency of the Western system, and the relevancy of the diatonic scale. You do make the valid point that today chromatic and pentatonic scales could arguably be "strong competitors" against the diatonic, but for one thing that wasn't true in the time and place when the expression "octave" came about, and for another the competition developed within the Western system in a context in which the term "octave" had already long since been defined. With the possible exception of very early Greek musical analysis, I (again unsourced) just cannot imagine a time when anyone talking about a chromatic scale or a pentatonic scale would have seriously considered trying to ignore the traditional diatonic modes in describing those scales.



The answer to your question seems to be, the reason we use the term "octave" even when "it's not all about the notes of the diatonic" is, at the time the term was developed, it was - and it has not stopped being useful within more-recent developments which use scales of some number of degrees different from the diatonic. People know what it means, people know why it means what it means, it would be asking more of them to throw it away and make up a different term than it is to just ask them to keep talking about "octaves" in the context of non-diatonic scales.






share|improve this answer




















  • Good point, these points certainly became clearer to me while reading some of the excellent answers in here
    – z8080
    2 hours ago












up vote
2
down vote










up vote
2
down vote









I don't have a source for this, but it seems self-evident to me that the context in which this term was developed was not an environment in which "pent" was a contending alternative - nor "sept", twelve, or any other number of scale degrees.



You seem to want to deny the saliency of the Western system, and the relevancy of the diatonic scale. You do make the valid point that today chromatic and pentatonic scales could arguably be "strong competitors" against the diatonic, but for one thing that wasn't true in the time and place when the expression "octave" came about, and for another the competition developed within the Western system in a context in which the term "octave" had already long since been defined. With the possible exception of very early Greek musical analysis, I (again unsourced) just cannot imagine a time when anyone talking about a chromatic scale or a pentatonic scale would have seriously considered trying to ignore the traditional diatonic modes in describing those scales.



The answer to your question seems to be, the reason we use the term "octave" even when "it's not all about the notes of the diatonic" is, at the time the term was developed, it was - and it has not stopped being useful within more-recent developments which use scales of some number of degrees different from the diatonic. People know what it means, people know why it means what it means, it would be asking more of them to throw it away and make up a different term than it is to just ask them to keep talking about "octaves" in the context of non-diatonic scales.






share|improve this answer












I don't have a source for this, but it seems self-evident to me that the context in which this term was developed was not an environment in which "pent" was a contending alternative - nor "sept", twelve, or any other number of scale degrees.



You seem to want to deny the saliency of the Western system, and the relevancy of the diatonic scale. You do make the valid point that today chromatic and pentatonic scales could arguably be "strong competitors" against the diatonic, but for one thing that wasn't true in the time and place when the expression "octave" came about, and for another the competition developed within the Western system in a context in which the term "octave" had already long since been defined. With the possible exception of very early Greek musical analysis, I (again unsourced) just cannot imagine a time when anyone talking about a chromatic scale or a pentatonic scale would have seriously considered trying to ignore the traditional diatonic modes in describing those scales.



The answer to your question seems to be, the reason we use the term "octave" even when "it's not all about the notes of the diatonic" is, at the time the term was developed, it was - and it has not stopped being useful within more-recent developments which use scales of some number of degrees different from the diatonic. People know what it means, people know why it means what it means, it would be asking more of them to throw it away and make up a different term than it is to just ask them to keep talking about "octaves" in the context of non-diatonic scales.







share|improve this answer












share|improve this answer



share|improve this answer










answered 13 hours ago









Beanluc

1874




1874











  • Good point, these points certainly became clearer to me while reading some of the excellent answers in here
    – z8080
    2 hours ago
















  • Good point, these points certainly became clearer to me while reading some of the excellent answers in here
    – z8080
    2 hours ago















Good point, these points certainly became clearer to me while reading some of the excellent answers in here
– z8080
2 hours ago




Good point, these points certainly became clearer to me while reading some of the excellent answers in here
– z8080
2 hours ago










up vote
1
down vote













If you know some computer programming languages, note that in some of them the arrays begin with the index 0 and in others with 1. I'd say the way we count intervals is one-based, that's all :P If you count in one direction until you find the same note, you get the number 8.






share|improve this answer




















  • You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
    – z8080
    15 hours ago






  • 1




    Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
    – Allan Felipe
    11 hours ago










  • You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
    – z8080
    2 hours ago














up vote
1
down vote













If you know some computer programming languages, note that in some of them the arrays begin with the index 0 and in others with 1. I'd say the way we count intervals is one-based, that's all :P If you count in one direction until you find the same note, you get the number 8.






share|improve this answer




















  • You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
    – z8080
    15 hours ago






  • 1




    Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
    – Allan Felipe
    11 hours ago










  • You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
    – z8080
    2 hours ago












up vote
1
down vote










up vote
1
down vote









If you know some computer programming languages, note that in some of them the arrays begin with the index 0 and in others with 1. I'd say the way we count intervals is one-based, that's all :P If you count in one direction until you find the same note, you get the number 8.






share|improve this answer












If you know some computer programming languages, note that in some of them the arrays begin with the index 0 and in others with 1. I'd say the way we count intervals is one-based, that's all :P If you count in one direction until you find the same note, you get the number 8.







share|improve this answer












share|improve this answer



share|improve this answer










answered 15 hours ago









Allan Felipe

411214




411214











  • You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
    – z8080
    15 hours ago






  • 1




    Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
    – Allan Felipe
    11 hours ago










  • You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
    – z8080
    2 hours ago
















  • You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
    – z8080
    15 hours ago






  • 1




    Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
    – Allan Felipe
    11 hours ago










  • You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
    – z8080
    2 hours ago















You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
– z8080
15 hours ago




You might want to read the other comments on here. My question was precisely why the number eight is anything special in dividing up one cycle of unique pitches , since it ("8") is only relevant for the diatonic scale , which isitself salient only in western cultures, and even there with strong competition from other scale types such as pentatonic. Why then is the interval that doubles the pitch not called a pent?
– z8080
15 hours ago




1




1




Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
– Allan Felipe
11 hours ago




Oh, ok! It's a music history question then, if I understood it correctly. "Why diatonic scales became so important throughout history?" Because you could make the same question with all intervals: Why the interval of 5th is equal to such distance, why the word "3rd" is allowed to such and such distances, etc.
– Allan Felipe
11 hours ago












You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
– z8080
2 hours ago




You're right -that this was the essence of my question became clearer to me only once the discussion here got rolling! :)
– z8080
2 hours ago

















 

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