86ed12
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Prime factorization
2 × 43
Step size
50.0227¢
Octave
24\86ed12 (1200.55¢) (→12\43ed12)
Twelfth
38\86ed12 (1900.86¢) (→19\43ed12)
Consistency limit
6
Distinct consistency limit
6
| ← 85ed12 | 86ed12 | 87ed12 → |
Division of the twelfth harmonic into 86 equal parts (86ED12) is very nearly identical to 24 EDO (quarter-tone tuning), but with the 12/1 rather than the 2/1 being just. The octave is about 0.55 cents stretched and the step size is about 50.02 cents.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.55 | -1.09 | +1.09 | +14.96 | -0.55 | -17.30 | +1.64 | -2.18 | +15.50 | +0.57 | +0.00 | +11.50 | -16.76 | +13.87 | +2.18 |
| Relative (%) | +1.1 | -2.2 | +2.2 | +29.9 | -1.1 | -34.6 | +3.3 | -4.4 | +31.0 | +1.1 | +0.0 | +23.0 | -33.5 | +27.7 | +4.4 | |
| Steps (reduced) |
24 (24) |
38 (38) |
48 (48) |
56 (56) |
62 (62) |
67 (67) |
72 (72) |
76 (76) |
80 (80) |
83 (83) |
86 (0) |
89 (3) |
91 (5) |
94 (8) |
96 (10) | |