8ed9/7
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Prime factorization
23
Step size
54.3855¢
Octave
22\8ed9/7 (1196.48¢) (→11\4ed9/7)
Twelfth
35\8ed9/7 (1903.49¢)
(convergent)
Consistency limit
12
Distinct consistency limit
2
| ← 7ed9/7 | 8ed9/7 | 9ed9/7 → |
(convergent)
Division of the septimal supermajor third into 8 equal parts (8ED9/7) is related to 22 edo, but with the 9/7 rather than the 2/1 being just. The octave is about 3.52 cents stretched and the step size is 54.39 cents.
Lookalikes: 22edo, 13edf, 35edt, 57ed6
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.52 | +1.54 | -7.04 | -12.65 | -1.98 | +3.08 | -10.56 | +3.08 | -16.17 | -18.02 | -5.50 | +19.08 | -0.44 | -11.11 | -14.07 |
| Relative (%) | -6.5 | +2.8 | -12.9 | -23.3 | -3.6 | +5.7 | -19.4 | +5.7 | -29.7 | -33.1 | -10.1 | +35.1 | -0.8 | -20.4 | -25.9 | |
| Steps (reduced) |
22 (6) |
35 (3) |
44 (4) |
51 (3) |
57 (1) |
62 (6) |
66 (2) |
70 (6) |
73 (1) |
76 (4) |
79 (7) |
82 (2) |
84 (4) |
86 (6) |
88 (0) | |