All of those systems you mention also include those so-called "pleasant" ratios.
Re:Music Theory for Programmers
by HexDecOctBin on Sunday September 06, 2026 @01:06PM
(#49588528)
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.
Re:Music Theory for Programmers
by strenholme on Sunday September 06, 2026 @04:21PM
(#49590496)
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.
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.