User:PiotrGrochowski/Extra-Diatonic Intervals: Difference between revisions
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[[Extra-Diatonic Intervals]] tries to base on 72edo and tries to take into account that superpyth minor seconds can reach 70 cents, although in meantone it's actually an augmented unison. However, superpyth is not suited for a diatonic scale, we can exclude it out of my version and base it on some meantone tuning like [[43edo]], [[74edo]] or [[105edo]]. 13–limit ratios are based on [[grosstone]]. | [[Extra-Diatonic Intervals]] tries to base on 72edo and tries to take into account that superpyth minor seconds can reach 70 cents, although in meantone it's actually an augmented unison. However, superpyth is not suited for a diatonic scale, we can exclude it out of my version and base it on some meantone tuning like [[43edo]], [[74edo]] or [[105edo]]. To convert an interval unrelated to the circle of fifths, normalize it to 43edo steps, then round. 13–limit ratios are based on [[grosstone]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 19: | Line 19: | ||
|1/1 | |1/1 | ||
|- | |- | ||
| | |comma unison | ||
|1 | |1 | ||
|1 | |1 | ||
| Line 27: | Line 27: | ||
|36/35, 50/49, 56/55, 64/63 | |36/35, 50/49, 56/55, 64/63 | ||
|- | |- | ||
| | |audible unison | ||
|1 | |1 | ||
|2 | |2 | ||
Revision as of 08:04, 30 September 2018
Extra-Diatonic Intervals tries to base on 72edo and tries to take into account that superpyth minor seconds can reach 70 cents, although in meantone it's actually an augmented unison. However, superpyth is not suited for a diatonic scale, we can exclude it out of my version and base it on some meantone tuning like 43edo, 74edo or 105edo. To convert an interval unrelated to the circle of fifths, normalize it to 43edo steps, then round. 13–limit ratios are based on grosstone.
| interval | 31edo steps | 43edo steps | 74edo steps | 105edo steps | fifths | 13–limit ratios |
| unison | 0 | 0 | 0 | 0 | 0 | 1/1 |
| comma unison | 1 | 1 | 2 | 3 | -12 | 36/35, 50/49, 56/55, 64/63 |
| audible unison | 1 | 2 | 3 | 4 | +19 | 27/26, 33/32, 40/39, 49/48, 55/54 |
| augmented unison | 2 | 3 | 5 | 7 | +7 | 21/20, 25/24, 28/27 |