111ed12
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Prime factorization
3 × 37
Step size
38.7564¢
Octave
31\111ed12 (1201.45¢)
Twelfth
49\111ed12 (1899.06¢)
Consistency limit
11
Distinct consistency limit
9
| ← 110ed12 | 111ed12 | 112ed12 → |
Division of the twelfth harmonic into 111 equal parts (111ED12) is very nearly identical to 31 EDO, but with the 12/1 rather than the 2/1 being just. The octave is about 1.45 cents stretched and the step size is about 38.76 cents.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.45 | -2.89 | +2.89 | +4.14 | -1.45 | +2.98 | +4.34 | -5.79 | +5.59 | -4.39 | +0.00 | +16.45 | +4.42 | +1.25 | +5.79 |
| Relative (%) | +3.7 | -7.5 | +7.5 | +10.7 | -3.7 | +7.7 | +11.2 | -14.9 | +14.4 | -11.3 | +0.0 | +42.5 | +11.4 | +3.2 | +14.9 | |
| Steps (reduced) |
31 (31) |
49 (49) |
62 (62) |
72 (72) |
80 (80) |
87 (87) |
93 (93) |
98 (98) |
103 (103) |
107 (107) |
111 (0) |
115 (4) |
118 (7) |
121 (10) |
124 (13) | |