7ed5

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Division of the 5th harmonic into 7 equal parts (7ed5) is related to 3 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size is about 398.0448 cents. It is related to the regular temperaments which temper out 441/440 and 244515348/244140625 in the 11-limit, which is supported by 3, 12, 15, 175, 190, 202, and/or 217 EDOs.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 398.0448 34/27 pseudo-5/4
2 796.0896 19/12
3 1194.1344 255/128 pseudo-octave
4 1592.1793 128/51 pseudo-5/2
5 1990.2241 60/19
6 2388.2689 135/34 pseudo-4/1
7 2786.3137 exact 5/1 just major third plus two octaves