Maximal evenness: Difference between revisions
Merger after I discovered something that is already discovered |
→31edo: added 31edo better |
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=== 31edo === | === 31edo === | ||
31edo | 31 edo contains the following Irvian modes, derived from ME [[31edo MOS scales]]: | ||
{| class="wikitable" | |||
|+31edo Irvian modes | |||
!Name | |||
!Formula core | |||
!Key layout | |||
|- | |||
|Würschmidt[3] | |||
|(3 x Year + 15) / 31 | |||
|6-16-26 | |||
|- | |||
|Myna[4] | |||
|(4 x Year + 15) / 31 | |||
|4-12-20-28 | |||
|- | |||
|Mothra[5] | |||
|(5 x Year + 15) / 31 | |||
|4-10-16-22-28 | |||
|- | |||
|Hemithirds[6] | |||
|(6 x Year + 15) / 31 | |||
|3-8-13-19-24-29 | |||
|- | |||
|Mohajira[7] | |||
|(7 x Year + 15) / 31 | |||
|3-7-12-16-20-25-29 | |||
|- | |||
|Nusecond[8] | |||
|(8 x Year + 15) / 31 | |||
|2-6-10-14-18-22-26-30 | |||
|- | |||
|Orwell[9] | |||
|(9 x Year + 15) / 31 | |||
|2-6-9-13-16-19-23-26-30 | |||
|- | |||
|Miracle[10] | |||
|(10 x Year + 15) / 31 | |||
|2-5-8-11-14-18-21-24-27-30 | |||
|} | |||
and so on. | |||
== Sound perception == | == Sound perception == | ||
The ME scales in 31edo will be closer to equal than those in 13edo, since the two step sizes used to approximate equal will differ by a smaller interval (one 31st of an octave instead of one 13th). | The ME scales in 31edo will be closer to equal than those in 13edo, since the two step sizes used to approximate equal will differ by a smaller interval (one 31st of an octave instead of one 13th). | ||