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This video was inspired by @ValkyRiver 's take on this étude in Just Intonation ( • Chopin Étude Op. 10 No... )
Chopin "Waterfall" Etude Op. 10, No. 1 but it's Microtonal (31-EDO, 31-TET)
Made with MuseScore 4.
Some facts about 31-EDO: This is a microtonal arrangement of Frédéric Chopin's Étude Op. 10, No. 1 in C major using the 31-EDO tuning system, which divides the octave into 31 equally spaced notes instead of our usual 12 notes (12-EDO). 31-EDO is a very close approximation of the 1/4-comma meantone tuning system, which was used historically in the 16th and 17th centuries. 1/4-comma meantone flattens the pure perfect fifth (ratio: 3/2) by 1/4 of a syntonic comma (ratio: 81/80) to make the major third pure. Stacking four fifths in 1/4-comma meantone gives you the pure major third. 31-EDO is a very close approximation of 1/4-comma meantone; however, there are a few key differences. In 1/4-comma meantone, you end up with a spiral of fifths that never closes due to comma drift as you stack fifths. 31-EDO has a similar circle of fifths but you do end up back from where you started. 31-EDO is also an equal temperament, meaning you can freely transpose, switch keys, and use all the benefits of an equal temperament to your advantage. All keys will sound the same in 31-EDO, the only difference being the starting note. I hope you enjoy this arrangement!
Sheet Music Link: musescore.com/...
PDF: drive.google.c...