65edo: Difference between revisions
+ratios for interval table |
+rank-2 temperaments |
||
| Line 424: | Line 424: | ||
|} | |} | ||
<nowiki>*</nowiki> based on treating 65edo as a 2.3.5.11.13/7 subgroup temperament. | <nowiki>*</nowiki> based on treating 65edo as a 2.3.5.11.13/7 subgroup temperament. | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| -103 65 }} | |||
| [{{val| 65 103 }}] | |||
| +0.131 | |||
| 0.131 | |||
| 0.71 | |||
|- | |||
| 2.3.5 | |||
| 32805/32768, 78732/78125 | |||
| [{{val| 65 103 151 }}] | |||
| -0.110 | |||
| 0.358 | |||
| 1.94 | |||
|- | |||
| 2.3.5.11 | |||
| 243/242, 4000/3993, 5632/5625 | |||
| [{{val| 65 103 151 225 }}] | |||
| -0.266 | |||
| 0.410 | |||
| 2.22 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per octave | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 3\65 | |||
| 55.38 | |||
| 33/32 | |||
| [[Escapade]] | |||
|- | |||
| 1 | |||
| 9\65 | |||
| 166.15 | |||
| 11/10 | |||
| [[Squirrel]] etc. | |||
|- | |||
| 1 | |||
| 12\65 | |||
| 221.54 | |||
| 25/22 | |||
| [[Hemisensi]] | |||
|- | |||
| 1 | |||
| 19\65 | |||
| 350.77 | |||
| 11/9 | |||
| [[Karadeniz]] | |||
|- | |||
| 1 | |||
| 21\65 | |||
| 387.69 | |||
| 5/4 | |||
| [[Würschmidt]] | |||
|- | |||
| 1 | |||
| 24\65 | |||
| 443.08 | |||
| 162/125 | |||
| [[Sensipent]] | |||
|- | |||
| 1 | |||
| 27\65 | |||
| 498.46 | |||
| 4/3 | |||
| [[Helmholtz]] / [[photia]] | |||
|- | |||
| 1 | |||
| 28\65 | |||
| 516.92 | |||
| 27/20 | |||
| [[Gravity]] | |||
|- | |||
| 5 | |||
| 20\65<br>(6\65) | |||
| 369.23<br>(110.77) | |||
| 10125/8192<br>(16/15) | |||
| [[Qintosec]] | |||
|- | |||
| 5 | |||
| 27\65<br>(1\65) | |||
| 498.46<br>(18.46) | |||
| 4/3<br>(81/80) | |||
| [[Pental]] | |||
|- | |||
| 5 | |||
| 30\65<br>(4\65) | |||
| 553.85<br>(73.85) | |||
| 864/625<br>(25/24) | |||
| [[Trisedodge]] / [[countdown]] | |||
|} | |||
== Scales == | == Scales == | ||