147ed12
| ← 146ed12 | 147ed12 | 148ed12 → |
(convergent)
(semiconvergent)
147 equal divisions of the 12th harmonic (abbreviated 147ed12) is a nonoctave tuning system that divides the interval of 12/1 into 147 equal parts of about 29.3 ¢ each. Each step represents a frequency ratio of 121/147, or the 147th root of 12.
Theory
65edt is almost identical to 41edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.3053 cents compressed. Like 41edo, 65edt is consistent to the 16-integer-limit.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.3 | +0.0 | -0.6 | -6.5 | -0.3 | -3.8 | -0.9 | +0.0 | -6.8 | +3.7 | -0.6 |
| Relative (%) | -1.0 | +0.0 | -2.1 | -22.3 | -1.0 | -13.1 | -3.1 | +0.0 | -23.4 | +12.7 | -2.1 | |
| Steps (reduced) |
41 (41) |
65 (0) |
82 (17) |
95 (30) |
106 (41) |
115 (50) |
123 (58) |
130 (0) |
136 (6) |
142 (12) |
147 (17) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +7.1 | -4.1 | -6.5 | -1.2 | +10.9 | -0.3 | -6.1 | -7.1 | -3.8 | +3.4 | +14.2 | -0.9 |
| Relative (%) | +24.3 | -14.1 | -22.3 | -4.2 | +37.1 | -1.0 | -20.9 | -24.4 | -13.1 | +11.7 | +48.7 | -3.1 | |
| Steps (reduced) |
152 (22) |
156 (26) |
160 (30) |
164 (34) |
168 (38) |
171 (41) |
174 (44) |
177 (47) |
180 (50) |
183 (53) |
186 (56) |
188 (58) | |