80edo: Difference between revisions
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<nowiki>*</nowiki> based on treating 80edo as a no-31's [[37-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | <nowiki>*</nowiki> based on treating 80edo as a no-31's [[37-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | ||
== Consistent circles == | |||
80edo is home to a staggering amount of [[consistent circle]]s, both ones closing after generating all 80 notes and ones closing after generating a subset edo like 2, 4, 5, 8, 10, 16 or 20. | |||
{| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10" | |||
|+Circles organised by generator w/ associated temperaments organised by period | |||
| [[Interval]] | |||
| [[Closing error]] | |||
| [[Circle#Definitions|Consistency]] | |||
| 1\1 | |||
| 1\2 | |||
| 1\4 | |||
| 1\5 | |||
| 1\8 | |||
| 1\10 | |||
| 1\16 | |||
| 1\20 | |||
|- | |||
| [[17/16]] | |||
| 24% | |||
| strong | |||
| [[septendesemi]] | |||
| [[srutal archagall]] | |||
| [[bidia]] | |||
| [[pentorwell]] | |||
| 80 & 104 | |||
| [[linus]] | |||
| ? | |||
| [[degrees]] | |||
|- | |||
| [[11/10]] | |||
| 2% | |||
| strong | |||
| ? | |||
| [[echidna]], [[semisupermajor]] | |||
| ? | |||
| [[trisey]], [[dodgy]] | |||
| [[octopus]] | |||
| [[deca]], [[decistearn]] | |||
| [[hexadecoid]] | |||
| [[degrees]] | |||
|- | |||
| [[9/7]] | |||
| 45% | |||
| normal | |||
| [[supermajor]] | |||
| [[echidna]], [[semisupermajor]] | |||
| ? | |||
| ? | |||
| [[octopus]] | |||
| [[deca]], [[decistearn]] | |||
| [[hexadecoid]] | |||
| [[degrees]] | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||