46edo: Difference between revisions
ArrowHead294 (talk | contribs) |
m →Approximation to JI: Added consistent circles |
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=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals|46}} | {{Q-odd-limit intervals|46}} | ||
== Consistent circles == | |||
46edo is home to a number of [[consistent circle]]s, both ones closing after generating all 46 notes and ones closing after generating 23edo. | |||
{| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11" | |||
|+46-note circles by gen. with related temperaments organized by period | |||
|- | |||
| [[Interval]] | |||
| [[Closing error]] | |||
| [[Circle#Definitions|Consistency]] | |||
| 1\1 | |||
| 1\2 | |||
|- | |||
| [[10/9]] | |||
| 36.1% | |||
| normal | |||
| | |||
| | |||
|- | |||
| [[48/35]] | |||
| 38.7% | |||
| normal | |||
| | |||
| | |||
|} | |||
{| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11" | |||
|+23-note circles by gen. with related temperaments organized by period | |||
|- | |||
| [[Interval]] | |||
| [[Closing error]] | |||
| [[Circle#Definitions|Consistency]] | |||
| 1\1 | |||
| 1\2 | |||
|- | |||
| [[17/16]] | |||
| 53.5% | |||
| weak | |||
| | |||
| | |||
|- | |||
| [[39/22]] | |||
| 24.6% | |||
| strong | |||
| | |||
| | |||
|- | |||
| [[11/7]] | |||
| 10.2% | |||
| superstrong | |||
| | |||
| | |||
|- | |||
| [[21/17]] | |||
| 53.6 | |||
| weak | |||
| | |||
| | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||