759edo
| ← 758edo | 759edo | 760edo → |
759 = 3 × 253, and 759edo shares its excellent perfect fifth with 253edo. However, the primes 5, 7, 11, and 13 are mapped differently. With octave stretching, one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. The 759def val supports noletaland, the 282 & 759def temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.021 | -0.543 | +0.344 | +0.461 | +0.579 | -0.608 | -0.280 | -0.606 | -0.328 | -0.372 |
| Relative (%) | +0.0 | +1.3 | -34.3 | +21.8 | +29.1 | +36.6 | -38.4 | -17.7 | -38.4 | -20.8 | -23.5 | |
| Steps (reduced) |
759 (0) |
1203 (444) |
1762 (244) |
2131 (613) |
2626 (349) |
2809 (532) |
3102 (66) |
3224 (188) |
3433 (397) |
3687 (651) |
3760 (724) | |
Subsets and supersets
759edo notably contains 253edo.