26ed7/3
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26 equal divisions of 7/3 (abbreviated 26ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 26 equal parts of about 56.4 ¢ each. Each step represents a frequency ratio of (7/3)1/26, or the 26th root of 7/3.
| ← 25ed7/3 | 26ed7/3 | 27ed7/3 → |
Theory
26ed7/3 corresponds to 21.2698…edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -15.2 | +16.3 | +26.0 | -21.8 | +1.0 | +16.3 | +10.8 | -23.9 | +19.4 | +23.6 | -14.2 |
| Relative (%) | -27.0 | +28.8 | +46.0 | -38.7 | +1.8 | +28.8 | +19.1 | -42.4 | +34.3 | +41.9 | -25.1 | |
| Steps (reduced) |
21 (21) |
34 (8) |
43 (17) |
49 (23) |
55 (3) |
60 (8) |
64 (12) |
67 (15) |
71 (19) |
74 (22) |
76 (24) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +16.5 | +1.0 | -5.6 | -4.5 | +3.4 | +17.3 | -19.9 | +4.2 | -23.9 | +8.4 | -12.1 | +27.0 |
| Relative (%) | +29.3 | +1.8 | -9.9 | -7.9 | +6.1 | +30.7 | -35.2 | +7.4 | -42.4 | +14.9 | -21.5 | +47.9 | |
| Steps (reduced) |
79 (1) |
81 (3) |
83 (5) |
85 (7) |
87 (9) |
89 (11) |
90 (12) |
92 (14) |
93 (15) |
95 (17) |
96 (18) |
98 (20) | |
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 56.4 | |
| 2 | 112.8 | 15/14 |
| 3 | 169.3 | |
| 4 | 225.7 | 17/15 |
| 5 | 282.1 | 13/11 |
| 6 | 338.5 | 11/9, 17/14, 23/19 |
| 7 | 394.9 | 5/4, 24/19 |
| 8 | 451.3 | 22/17 |
| 9 | 507.8 | |
| 10 | 564.2 | 18/13 |
| 11 | 620.6 | |
| 12 | 677 | |
| 13 | 733.4 | 23/15, 26/17 |
| 14 | 789.9 | 11/7, 19/12 |
| 15 | 846.3 | 18/11 |
| 16 | 902.7 | 22/13 |
| 17 | 959.1 | 26/15 |
| 18 | 1015.5 | |
| 19 | 1071.9 | 13/7 |
| 20 | 1128.4 | 21/11, 23/12 |
| 21 | 1184.8 | |
| 22 | 1241.2 | |
| 23 | 1297.6 | |
| 24 | 1354 | |
| 25 | 1410.5 | |
| 26 | 1466.9 | 7/3 |