159edo: Difference between revisions
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→Regular temperament properties: +hemichromat |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | Subgroup | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning Error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 1,378: | Line 1,378: | ||
| 5.46 | | 5.46 | ||
|} | |} | ||
Notably, while 159edo plays host to a number of fun temperaments like [[ | Notably, while 159edo plays host to a number of fun temperaments like [[gamelismic]] and [[364/363|gentle]], a number of [[microtemperaments]] have also been found hiding within its structure. This means that 159edo is well-balanced in terms of the possibilities for interesting temperament usage. | ||
=== Commas === | === Commas === | ||
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|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator<br>( | ! Generator<br>(Reduced) | ||
! Cents<br>( | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated<br>Ratio | ||
! Temperament | ! Temperament | ||
|- | |- | ||
| Line 1,848: | Line 1,848: | ||
| 233.96 | | 233.96 | ||
| 8/7 | | 8/7 | ||
| [[ | | [[Guiron]] | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 1,885: | Line 1,885: | ||
| 112/81 | | 112/81 | ||
| [[Condor]] | | [[Condor]] | ||
|- | |||
| 3 | |||
| 4\159 | |||
| 30.19 | |||
| 55/54 | |||
| [[Hemichromat]] | |||
|- | |- | ||
| 3 | | 3 | ||
| Line 1,922: | Line 1,928: | ||
| [[Schismerc]] / [[cartography]] | | [[Schismerc]] / [[cartography]] | ||
|- | |- | ||
|53 | | 53 | ||
|121\159<br>(1\159) | | 121\159<br>(1\159) | ||
|913.21<br>(7.55) | | 913.21<br>(7.55) | ||
|441/260<br>(196/195) | | 441/260<br>(196/195) | ||
|[[Iodine]] | | [[Iodine]] | ||
|} | |} | ||