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otabdeveloper4today at 9:28 AM2 repliesview on HN

1.5**12 is about 129.74, which is as close as you can reasonably get to a power of two.

So yes, the 12-tone scale is a universal thing - you want both octaves and fifths in your scale.

(12 is actually too much, so usually that's pared down to something like 4 or 5 or 7 tones, this is where you get cultural variation.)


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rerdaviestoday at 7:05 PM

129.74 is not really close to a power of two. 31-tet scales have a better approximation of a 5th (and an impressively better approximation of a minor 7th).

The obvious exception in the western system would be the blues scale, which arguably has 9 tones (7 equal tempered notes, plus a just tempered 3rd and 7th).

And Indian ragas break all of these rules. They have scales that don't have 8 notes, scales that don't use equal temperament, and even a few scales that don't repeat on octaves.

defrosttoday at 9:57 AM

> 1.5*12 is about 129.74,

Math checks out.

> So yes, the 12-tone scale is a universal thing -

I don't follow the logic here though. It's certainly true that a 12-tone / Chromatic scale is ubiquitous within the Western Music tradition .. but the universe is reportedly a little larger.

Even Western Music includes exceptions like the 9-note augmented scale, though the argument can be made that it's a 12-scale with 3 bits "missing" - not a case that can be made about a non-western 7 note percussive scale.

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