23ed7

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Division of the 7th harmonic into 23 equal parts (23ed7) is related to the Bohlen-Pierce scale, but with the 7/1 rather than the 3/1 being just. The step size is about 146.4707 cents, corresponding to 8.1928 edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 146.4707 49/45
2 292.9414 13/11
3 439.4121 9/7
4 585.8828 7/5
5 732.3535 49/32
6 878.8241 5/3
7 1025.2948 9/5
8 1171.7655 63/32
9 1318.2362 15/7
10 1464.7069 7/3
11 1611.1776 28/11
12 1757.6483 11/4
13 1904.1190 3/1
14 2050.5897 49/15
15 2197.0604 32/9
16 2343.5311 35/9
17 2490.0018 21/5
18 2636.4724 32/7
19 2782.9431 5/1
20 2929.4138 49/9
21 3075.8845 77/13
22 3222.3552 45/7
23 3368.8259 exact 7/1 harmonic seventh plus two octaves