773edo
| ← 772edo | 773edo | 774edo → |
Theory
773edo is consistent to the 7-odd-limit. Using the patent val, it tempers out 2401/2400, 32805/32768, 137781/137500 and 766656/765625 in the 11-limit. It supports counterultrakleismic.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.273 | +0.232 | -0.133 | -0.218 | -0.683 | +0.607 | +0.546 | +0.445 | -0.340 | +0.631 |
| Relative (%) | +0.0 | -17.6 | +15.0 | -8.5 | -14.1 | -44.0 | +39.1 | +35.2 | +28.7 | -21.9 | +40.6 | |
| Steps (reduced) |
773 (0) |
1225 (452) |
1795 (249) |
2170 (624) |
2674 (355) |
2860 (541) |
3160 (68) |
3284 (192) |
3497 (405) |
3755 (663) |
3830 (738) | |
Subsets and supersets
773edo is the 137th prime edo.
Regular temperament properties
| Subgroup | Comma List | Mapping | Optimal 8ve Stretch (¢) |
Tuning Error | |
|---|---|---|---|---|---|
| Absolute (¢) | Relative (%) | ||||
| 2.3 | [-1225 773⟩ | [⟨773 1225]] | 0.0862 | 0.0862 | 5.55 |
| 2.3.5 | 32805/32768, [65 85 -86⟩ | [⟨773 1225 1795]] | 0.0241 | 0.1125 | 7.25 |
| 2.3.5.7 | 2401/2400, 32805/32768, [20 22 -20 -3⟩ | [⟨773 1225 1795 2170]] | 0.0299 | 0.0979 | 6.31 |
| 2.3.5.7.11 | 2401/2400, 32805/32768, 137781/137500, 766656/765625 | [⟨773 1225 1795 2170 2674]] | 0.0365 | 0.0886 | 5.71 |
Rank-2 temperaments
| Periods per 8ve |
Generator* | Cents* | Associated Ratio* |
Temperaments |
|---|---|---|---|---|
| 1 | 113\773 | 175.420 | 448/405 | Sesquiquartififths |
| 1 | 321\773 | 498.318 | 4/3 | Helmholtz |
* Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct