@zwol - yes, people do this! In 1563, a music theorist named Benedetti showed that you could create a simple melody that would keep creeping up because it ends at a frequency of 81/80 higher than where it starts. This is called a "comma pump". You can hear it here:
https://www.youtube.com/watch?v=FT71tggrrQc
and read about it here:
https://en.wikipedia.org/wiki/Syntonic_comma#Comma_pump
(1/n)
@zwol - here's a great explanation of Giovanni Benedetti's comma pump:
https://www.youtube.com/watch?v=TYhPAbsIqA8
(2/n)
YouTube
@zwol - Here's a nice short video showing the *geometry* of pitch drift due to the syntonic comma, using the lattice I like.
https://www.youtube.com/shorts/dVMF5xv9lQs
(3/n)
YouTube
@zwol - But I think you were wondering about 'beneficial' applications of going beyond the parallelogram I outlined. Here's some music that tries that. You can decide if you like it!
https://www.youtube.com/watch?v=eATw19sPh8E
(4/n, n = 4)
YouTube
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