25ed7

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Division of the 7th harmonic into 25 equal parts (25ed7) is related to 9 edo, but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 134.7530 (27/25), 13/12
2 269.5061 7/6
3 404.2591 24/19, 91/72
4 539.0121 15/11
5 673.7652 28/19
6 808.5182 (147/92)
7 943.2713 19/11
8 1078.0243 28/15
9 1212.7773 161/80
10 1347.5304 24/11
11 1482.2834 40/17
12 1617.0364 28/11
13 1751.7895 11/4
14 1886.5425 119/40
15 2021.2955 77/24
16 2156.0486 80/23
17 2290.8016 15/4
18 2425.5547 77/19
19 2560.3077 (92/21)
20 2695.0607 19/4
21 2829.8138 77/15
22 2964.5668 72/13, 133/24
23 3099.3198 6/1
24 3234.0729 84/13, (175/27)
25 3368.8259 exact 7/1 harmonic seventh plus two octaves

25ed7 as a generator

25ed7 can also be thought of as a generator of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by 9edo, 71edo (using 71d val), 80edo, and 89edo among others.