70ed6
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Prime factorization
2 × 5 × 7
Step size
44.3136¢
Octave
27\70ed6 (1196.47¢)
Twelfth
43\70ed6 (1905.49¢)
Consistency limit
10
Distinct consistency limit
8
| ← 69ed6 | 70ed6 | 71ed6 → |
Division of the sixth harmonic into 70 equal parts (70ED6) is very nearly identical to 27 EDO, but with the 6/1 rather than the 2/1 being just. The octave is about 3.5316 cents compressed and the step size is about 44.3136 cents. The local zeta peak around 27 is located at 27.086614, which has a step size of 44.3023 cents, making 70ed6 very close to optimal for 27edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.53 | +3.53 | -7.06 | +5.45 | +0.00 | -0.99 | -10.59 | +7.06 |
| Relative (%) | -8.0 | +8.0 | -15.9 | +12.3 | +0.0 | -2.2 | -23.9 | +15.9 | |
| Steps (reduced) |
27 (27) |
43 (43) |
54 (54) |
63 (63) |
70 (0) |
76 (6) |
81 (11) |
86 (16) | |
| Harmonic | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.91 | +14.16 | -3.53 | -9.16 | -4.52 | +8.98 | -14.13 | +13.86 |
| Relative (%) | +4.3 | +32.0 | -8.0 | -20.7 | -10.2 | +20.3 | -31.9 | +31.3 | |
| Steps (reduced) |
90 (20) |
94 (24) |
97 (27) |
100 (30) |
103 (33) |
106 (36) |
108 (38) |
111 (41) | |
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