730edo: Difference between revisions
+infobox; cleanup |
+RTT table and rank-2 temperaments |
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== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal 8ve<br>stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| -1157 730 }} | |||
| [{{val| 730 1157 }}] | |||
| +0.0117 | |||
| 0.0117 | |||
| 0.71 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| -53 10 16 }}, {{monzo| -16 35 -17 }} | |||
| [{{val| 730 1157 1695 }}] | |||
| +0.0096 | |||
| 0.0100 | |||
| 0.61 | |||
|- | |||
| 2.3.5.7 | |||
| 4375/4374, 2100875/2097152, {{monzo| 12 -3 -14 9 }} | |||
| [{{val| 730 1157 1695 2049 }}] | |||
| +0.0612 | |||
| 0.0899 | |||
| 5.47 | |||
|- | |||
| 2.3.5.7.11 | |||
| 3025/3024, 4375/4374, 391314/390625, 2100875/2097152 | |||
| [{{val| 730 1157 1695 2049 2525 }}] | |||
| +0.0856 | |||
| 0.0940 | |||
| 5.72 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 1001/1000, 3025/3024, 4225/4224, 4375/4374, 2100875/2097152 | |||
| [{{val| 730 1157 1695 2049 2525 2701 }}] | |||
| +0.0951 | |||
| 0.0884 | |||
| 5.38 | |||
|} | |||
=== 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 | |||
| 99\730 | |||
| 162.74 | |||
| 1125/1024 | |||
| [[Kwazy]] | |||
|- | |||
| 1 | |||
| 111\730 | |||
| 182.47 | |||
| 10/9 | |||
| [[Mitonic]] | |||
|- | |||
| 1 | |||
| 113\730 | |||
| 185.75 | |||
| {{monzo| 24 4 -13 }} | |||
| [[Pirate]] | |||
|- | |||
| 1 | |||
| 303\730 | |||
| 498.08 | |||
| 4/3 | |||
| [[Counterschismic]] | |||
|- | |||
| 1 | |||
| 341\730 | |||
| 560.55 | |||
| 864/625 | |||
| [[Whoosh]] | |||
|- | |||
| 2 | |||
| 111\730 | |||
| 182.47 | |||
| 10/9 | |||
| [[Seminar]] | |||
|- | |||
| 10 | |||
| 192\730<br>(27\730) | |||
| 315.62<br>(44.38) | |||
| 6/5<br>(40/39) | |||
| [[Deca]] | |||
|} | |||
== Scales == | == Scales == | ||