759edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|759}} 759edo is enfactored in the 5-limit, with the same tuning as 253edo. With octave stretching, one may use 2.7.11.13 s..." |
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{{EDO intro|759}} | {{EDO intro|759}} | ||
759edo is [[enfactoring|enfactored]] in the [[5-limit]], with the same tuning as [[253edo]]. 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. 759def val tunes [[noletaland]], 282 & 1323 temperament, in the 23-limit. | 759edo is [[enfactoring|enfactored]] in the [[5-limit]], with the same tuning as [[253edo]]. 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. 759def val tunes [[noletaland]], 282 & 1323 temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system. | ||
{{Harmonics in equal|759}} | {{Harmonics in equal|759}} | ||
Revision as of 00:21, 14 February 2025
| ← 758edo | 759edo | 760edo → |
759edo is enfactored in the 5-limit, with the same tuning as 253edo. 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. 759def val tunes noletaland, 282 & 1323 temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system.
| 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.