User:PiotrGrochowski/Extra-Diatonic Intervals: Difference between revisions
ditch the 105edo column, it produces an uneven 3–1 step scale that may be inconsistent |
complete up to fourth, add info about fractions and make "comma unison" consistent by renaming it to "high unison" |
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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]]. To convert an interval to a name, select the closest 43edo interval. 13–limit ratios are based on [[grosstone]]. I might do another one based on [[50edo]] and meanpop too... | [[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 to a name, select the closest 43edo interval. 13–limit ratios are based on [[grosstone]] and do not have numbers 70 or more. I might do another one based on [[50edo]] and meanpop too... | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 19: | Line 19: | ||
|1/1 | |1/1 | ||
|- | |- | ||
| | |high unison | ||
|1 | |1 | ||
|1 | |1 | ||
| Line 117: | Line 117: | ||
|high neutral third | |high neutral third | ||
|9 | |9 | ||
| | |13 | ||
|22 | |||
|362.791 | |||
| +16 | |||
|11/9, 16/13, 49/40 | |||
|- | |||
|major third | |||
|10 | |||
|14 | |||
|24 | |||
|390.698 | |||
| +4 | |||
|5/4, 56/45, 63/50 | |||
|- | |||
|high major third | |||
|11 | |||
|15 | |||
|26 | |||
|418.605 | |||
| -8 | |||
|9/7, 14/11, 32/25 | |||
|- | |||
|third–fourth | |||
|12 | |||
|16 | |||
|28 | |||
|446.512 | |||
| -20 | |||
|13/10, 64/49 | |||
|- | |||
|low fourth | |||
|12 | |||
|17 | |||
|29 | |||
|474.419 | |||
| +11 | |||
|21/16, 35/27, 55/42 | |||
|- | |||
|fourth | |||
|13 | |||
|18 | |||
|31 | |||
|502.326 | |||
| -1 | |||
|4/3, 27/20, 66/49 | |||
|} | |} | ||