23ed7: Difference between revisions
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'''[[Ed7|Division of the 7th harmonic]] into 23 equal parts''' (23ED7) is related to the [[13edt|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]]. It is almost identical to [[POTE generator]] for 7-limit [[bohpier|bohpier temperament]]. | '''[[Ed7|Division of the 7th harmonic]] into 23 equal parts''' (23ED7) is related to the [[13edt|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]]. It is almost identical to [[POTE generator]] for 7-limit [[bohpier|bohpier temperament]]. | ||
Revision as of 20:30, 5 October 2022
| ← 22ed7 | 23ed7 | 24ed7 → |
(convergent)
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. It is almost identical to POTE generator for 7-limit bohpier temperament.
| 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 |