42edt

Revision as of 19:45, 29 September 2021 by Cmloegcmluin (talk | contribs) (add link for defactoring)

42EDT is the equal division of the third harmonic into 42 parts of 45.2846 cents each, corresponding to 26.4990 edo. It is contorted (or enfactored) in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave.

Lookalikes: 53ED4