4 ms·
This series is, in fact, really cool. It does in fact point out that the pentatonic scale and the 12-tone scale are things that you can almost make just by glui
by rspeer 12y ago
This series is, in fact, really cool. It does in fact point out that the pentatonic scale and the 12-tone scale are things that you can almost make just by gluing together fifths, and then it points you to the 53-note scale, which despite being hard to work with is freaking awesome: https://en.wikipedia.org/wiki/53_equal_temperament https://en.wikipedia.org/wiki/53_equal_temperament
(The 41-note scale doesn't accomplish much, it turns out.)
The 53-note scale was supposedly discovered by Ching Fang (the same guy who discovered that the moon reflected sunlight) in the first century BC.
The equivalent of fifths in the 53-note equal-tempered scale are an unreasonably good approximation to just intonation, kind of like 355/113 is an unreasonably good approximation to pi. It also happens to contain good approximations to all kinds of other just intervals. And because 53 is prime, you don't just have a circle of fifths, you have a circle of any interval you want.
So you can use this scale as a reference point to compare different tunings, scales of world music, and scales invented by avant-garde composers. Or you can use it as a cool thing to play with.
- abecedarius 12y agoCool! Yeah, I considered pointing out that 84/53 is an especially good approximation for its complexity (since the next in the sequence uses much bigger integers) -- but how are you going to deal with 53 notes, or even 41? It's neat to hear that others were not stopped by that. (It did occur to me you could almost label them with letters of the alphabet, with one left over: 53=26x2+1. But that'd be silly and invite confusion with the 12-tone note names.)