User:Hotcrystal0/25edϕ
| ← 24edϕ | 25edϕ | 26edϕ → |
(convergent)
(semiconvergent)
25 equal divisions of acoustic phi (25edϕ) is the nonoctave tuning system derived by dividing acoustic phi into 25 equal steps of 33.32 ¢ each. It corresponds to 36edo with an octave compression of about 0.35 cents. Like 36edo, it is consistent to the 8-integer-limit.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 33.3 | |
| 2 | 66.6 | 23/22, 24/23 |
| 3 | 100 | 16/15, 17/16, 18/17, 19/18, 20/19 |
| 4 | 133.3 | 13/12, 14/13 |
| 5 | 166.6 | 11/10, 21/19, 23/21 |
| 6 | 199.9 | 9/8, 19/17, 26/23 |
| 7 | 233.3 | 8/7, 23/20, 25/22 |
| 8 | 266.6 | 7/6 |
| 9 | 299.9 | 19/16 |
| 10 | 333.2 | 17/14, 23/19 |
| 11 | 366.6 | 16/13, 21/17, 26/21 |
| 12 | 399.9 | 19/15, 24/19 |
| 13 | 433.2 | 9/7, 23/18 |
| 14 | 466.5 | 17/13, 21/16 |
| 15 | 499.9 | 4/3 |
| 16 | 533.2 | 15/11, 19/14, 23/17, 26/19 |
| 17 | 566.5 | 18/13 |
| 18 | 599.8 | 17/12, 24/17 |
| 19 | 633.1 | 13/9, 23/16 |
| 20 | 666.5 | 19/13, 22/15 |
| 21 | 699.8 | 3/2 |
| 22 | 733.1 | 23/15, 26/17 |
| 23 | 766.4 | 14/9 |
| 24 | 799.8 | 19/12 |
| 25 | 833.1 | 13/8, 21/13 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.4 | -2.5 | -0.7 | +12.9 | -2.9 | -3.1 | -1.1 | -5.0 | +12.5 | +14.1 | -3.2 | -8.5 | -3.5 | +10.4 | -1.4 |
| Relative (%) | -1.1 | -7.5 | -2.1 | +38.6 | -8.6 | -9.4 | -3.2 | -15.1 | +37.6 | +42.4 | -9.6 | -25.5 | -10.5 | +31.1 | -4.2 | |
| Step | 36 | 57 | 72 | 84 | 93 | 101 | 108 | 114 | 120 | 125 | 129 | 133 | 137 | 141 | 144 | |