129ed12
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Prime factorization
3 × 43
Step size
33.3485¢
Octave
36\129ed12 (1200.55¢) (→12\43ed12)
Twelfth
57\129ed12 (1900.86¢) (→19\43ed12)
Consistency limit
8
Distinct consistency limit
8
| ← 128ed12 | 129ed12 | 130ed12 → |
129 equal divisions of the 12th harmonic (abbreviated 129ed12) is a nonoctave tuning system that divides the interval of 12/1 into 129 equal parts of about 33.3 ¢ each. Each step represents a frequency ratio of 121/129, or the 129th root of 12.
129ED12 is very nearly identical to 36edo (sixth-tone tuning), but with the 12/1 rather than the 2/1 being just. The octave is stretched by 0.55cents.
Lookalikes: 21edf, 36edo, 57edt, 93ed6, 101ed7
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 | -0.63 | +1.64 | -2.18 | +15.50 | -16.11 | +0.00 | -5.18 | -0.08 | +13.87 | +2.18 |
| Relative (%) | +1.6 | -3.3 | +3.3 | +44.9 | -1.6 | -1.9 | +4.9 | -6.5 | +46.5 | -48.3 | +0.0 | -15.5 | -0.2 | +41.6 | +6.5 | |
| Steps (reduced) |
36 (36) |
57 (57) |
72 (72) |
84 (84) |
93 (93) |
101 (101) |
108 (108) |
114 (114) |
120 (120) |
124 (124) |
129 (0) |
133 (4) |
137 (8) |
141 (12) |
144 (15) | |