106ed6
| ← 105ed6 | 106ed6 | 107ed6 → |
(convergent)
(convergent)
106 equal divisions of the 6th harmonic (abbreviated 106ed6) is a nonoctave tuning system that divides the interval of 6/1 into 106 equal parts of about 29.3 ¢ each. Each step represents a frequency ratio of 61/106, or the 106th root of 6.
Theory
106ed6 is very nearly identical to 41edo, but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed. Like 41edo, 106ed6 is consistent to the 16-integer-limit.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.2 | +0.2 | -0.4 | -6.3 | +0.0 | -3.5 | -0.6 | +0.4 | -6.4 | +4.1 | -0.2 |
| Relative (%) | -0.6 | +0.6 | -1.3 | -21.4 | +0.0 | -12.0 | -1.9 | +1.3 | -22.0 | +14.1 | -0.6 | |
| Steps (reduced) |
41 (41) |
65 (65) |
82 (82) |
95 (95) |
106 (0) |
115 (9) |
123 (17) |
130 (24) |
136 (30) |
142 (36) |
147 (41) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +7.6 | -3.7 | -6.1 | -0.7 | +11.4 | +0.2 | -5.6 | -6.6 | -3.3 | +3.9 | -14.5 | -0.4 |
| Relative (%) | +25.8 | -12.6 | -20.8 | -2.6 | +38.8 | +0.6 | -19.2 | -22.7 | -11.3 | +13.5 | -49.5 | -1.3 | |
| Steps (reduced) |
152 (46) |
156 (50) |
160 (54) |
164 (58) |
168 (62) |
171 (65) |
174 (68) |
177 (71) |
180 (74) |
183 (77) |
185 (79) |
188 (82) | |