461edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
===Odd | |||
== Theory == | |||
461edo is only [[consistent]] to the [[3-odd-limit]]. It can be considered for the 2.3.11.13.29.31.37.41.43 [[subgroup]], tempering out 1189/1188, 1333/1332, 3224/3219, 4433/4428, 39904/39897, 19778/19773, 17303/17298 and 2564692/2558061. It [[support]]s [[quartemka]] in the [[5-limit]]. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|461}} | {{Harmonics in equal|461}} | ||
{{ | |||
=== Subsets and supersets === | |||
461edo is the 89th [[prime edo]]. [[1383edo]], which triples it, gives a good correction to the [[harmonic]] [[5/1|5]]. | |||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[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|731 -461}} | |||
| {{val|461 731}} | |||
| −0.2729 | |||
| 0.2728 | |||
| 10.48 | |||
|} |