240edo: Difference between revisions
m Added links to people and tunings mentioned in the text of the "Scales" section |
No edit summary |
||
| Line 17: | Line 17: | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|240}} | {{Harmonics in equal|240}} | ||
==Regular temperament properties== | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | |||
! colspan="2" |Tuning Error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|531441/524288 | |||
|{{val|240 380}} | |||
| 0.6167 | |||
| 0.6171 | |||
| 12.34 | |||
|- | |||
|2.3.5 | |||
|531441/524288, {{monzo|-29 -11 20}} | |||
|{{val|240 380 557}} | |||
| 0.5998 | |||
| 0.5044 | |||
| 10.09 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per 8ve | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperaments | |||
|- | |||
|1 | |||
|7\240 | |||
|35.00 | |||
|1990656/1953125 | |||
|[[Gammic]] | |||
|- | |||
|1 | |||
|101\240 | |||
|505.00 | |||
|104976/78125 | |||
|[[Countermeantone]] | |||
|- | |||
|12 | |||
|77\240<br>(3\240) | |||
|385.00<br>(15.00) | |||
|5/4<br>(81/80) | |||
|[[Compton]] | |||
|} | |||
==Scales== | ==Scales== | ||