311edo: Difference between revisions
→Theory: rewrite to improve readability |
m →Regular temperament properties: style |
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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 317: | Line 317: | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per | ! Periods<br>per 8ve | ||
! Generator<br>( | ! Generator<br>(Reduced) | ||
! Cents<br>( | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 381: | Line 381: | ||
| 339.55 | | 339.55 | ||
| 243/200 | | 243/200 | ||
| [[ | | [[Paramity]] | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 411: | Line 411: | ||
| 551.77 | | 551.77 | ||
| 11/8 | | 11/8 | ||
| [[ | | [[Emkay]] | ||
|- | |- | ||
|1 | |1 | ||
|155\311 | | 155\311 | ||
|598.08 | | 598.08 | ||
|847/600 | | 847/600 | ||
|[[Vydubychi]] | | [[Vydubychi]] | ||
|} | |} | ||
=== Ringer scales === | === Ringer scales === | ||
There are two known [[Ringer scale]]s based on 311edo. Both consistently map the complete mode 234 of the harmonic series, which is believed to be the highest possible complete harmonic series mode mapped by a 311-form. | There are two known [[Ringer scale]]s based on 311edo. Both consistently map the complete mode 234 of the harmonic series, which is believed to be the highest possible complete harmonic series mode mapped by a 311-form. | ||