1/6-Comma Meantone

Here is a new piece in 55edo. This piece uses a 19 note subset of the 55 notes per octave of 55edo. This subset is generated from a chain of perfect fifths, which is the way conventional scales are generated. So the scale can be mapped to conventional note names:

A perfect fifth is 32 microsteps of 55edo, which is 698.18 cents. A just tuned perfect fifth is 701.96 cents, so the perfect fifth of 55edo is about 3.77 cents flat. A syntonic comma, the difference between a just tuned major third 5:4 and a pythagorean major third 81:64, is about 21.5 cents. Since 3.77 cents is quite close to 1/6 of 21.5, 55edo is quite close to 1/6-comma meantone. This is a tuning that would have been familiar to musicians in the 18th Century.