55edo: Difference between revisions
m →Music: +chapters |
+regular temperament properties |
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The following table shows how [[15-odd-limit]] just intervals are represented in 55edo (ordered by absolute error). | The following table shows how [[15-odd-limit]] just intervals are represented in 55edo (ordered by absolute error). | ||
{{15-odd-limit|55}} | {{15-odd-limit|55}} | ||
== 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 | |||
|{{monzo|-87 55}} | |||
|{{mapping|55 87}} | |||
| +1.1903 | |||
| 1.1915 | |||
| 5.46 | |||
|- | |||
|2.3.5 | |||
|81/80, 6442450944/6103515625 | |||
|{{mapping|55 87 128}} | |||
| -0.1309 | |||
| 2.1012 | |||
| 9.63 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per octave | |||
! Generator | |||
! Temperaments | |||
|- | |||
|1 | |||
|6\55 | |||
|[[Twothirdtonic]] | |||
|- | |||
|1 | |||
|16\55 | |||
|[[Vicentino]] / [[mohajira]] | |||
|- | |||
|1 | |||
|23\55 | |||
|[[Meantone]] | |||
|- | |||
|1 | |||
|26\55 | |||
|[[Liese]] | |||
|- | |||
|1 | |||
|27\55 | |||
|[[Untriton]] / [[aufo]] | |||
|- | |||
|5 | |||
|6\55 | |||
|[[Qintosec]] | |||
|- | |||
|11 | |||
|3\55 | |||
|[[Hendecatonic]] | |||
|} | |||
==Instruments== | ==Instruments== | ||