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West Asian maqam has 24 notes, Indian classical has 22 notes, Indonesian gamelan has 5 or 7 notes. What would be the ratios that sound pleasurable now?

What is or isn't pleasurable is a matter of cultural training, and treating them as absolute facts is what I found frustrating in the books that I was complaining about.



All of those systems you mention also include those so-called "pleasant" ratios.


Indeed. Bobby McFerrin has a demonstration where, regardless of culture, the pentatonic scale is universal. For the record, a just major pentatonic scale is the notes with the intervals (from the root note) 1, 9/8, 5/4, 3/2, and 5/3.

https://www.youtube.com/watch?v=ne6tB2KiZuk


How would you divide 22 in small ratios, considering that 11 is a prime number?


Those 22 notes are not evenly spaced, you know that, right? Primes are irrelevant.




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