20edo: Difference between revisions
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Alternately, 20edo can be used as a [[Blackwood]] temperament, combining minor and major thirds to generate a highly symmetrical decatonic scale where every note is root to a major or minor triad and 7-limit tetrad that are heavily tempered, but in a useful way, as you can easily modulate to anywhere in the small cycle of 5ths, and build extended chords that use every note in the scale without clashing. Either of these works better than trying to force 20 into a diatonic framework. | Alternately, 20edo can be used as a [[Blackwood]] temperament, combining minor and major thirds to generate a highly symmetrical decatonic scale where every note is root to a major or minor triad and 7-limit tetrad that are heavily tempered, but in a useful way, as you can easily modulate to anywhere in the small cycle of 5ths, and build extended chords that use every note in the scale without clashing. Either of these works better than trying to force 20 into a diatonic framework. | ||
===Differences between distributionally-even scales and smaller edos=== | |||
{| class="wikitable" | |||
|+ | |||
!N | |||
!L-Nedo | |||
!s-Nedo | |||
|- | |||
|3 | |||
|20¢ | |||
| -40¢ | |||
|- | |||
|6 | |||
|40¢ | |||
| -20¢ | |||
|- | |||
|7 | |||
|8.571¢ | |||
| -51.429¢ | |||
|- | |||
|8 | |||
|30¢ | |||
| -30¢ | |||
|- | |||
|9 | |||
|46.667¢ | |||
| -13.333¢ | |||
|- | |||
|11 | |||
|10.909¢ | |||
| -49.091¢ | |||
|- | |||
|12 | |||
|20¢ | |||
| -40¢ | |||
|- | |||
|13 | |||
|27.692¢ | |||
| -32.308¢ | |||
|- | |||
|14 | |||
|34.286¢ | |||
|25.714¢ | |||
|- | |||
|15 | |||
|40¢ | |||
| -20¢ | |||
|- | |||
|16 | |||
|45¢ | |||
| -15¢ | |||
|- | |||
|17 | |||
|49.412¢ | |||
| -10.588¢ | |||
|- | |||
|18 | |||
|53.333¢ | |||
| -6.666¢ | |||
|- | |||
|19 | |||
|56.842¢ | |||
| -3.158¢ | |||
|} | |||
== Intervals == | == Intervals == | ||