80edo: Difference between revisions
add main consistent circles |
→Consistent circles: add 10-note circles table, replace associated -> related (as "associated temp." has a different, technical meaning), americanize spelling, brevity, add one more digit of precision to closing errors to help make good use of the space (more than this precision is clearly excessive though) |
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== Consistent circles == | == 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. | 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" | {| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11" | ||
|+ | |+80-note circles by gen. with related temperaments organized by period | ||
|- | |||
| [[Interval]] | | [[Interval]] | ||
| [[Closing error]] | | [[Closing error]] | ||
| Line 209: | Line 210: | ||
|- | |- | ||
| [[17/16]] | | [[17/16]] | ||
| | | 23.8% | ||
| strong | | strong | ||
| [[septendesemi]] | | [[septendesemi]] | ||
| Line 221: | Line 222: | ||
|- | |- | ||
| [[11/10]] | | [[11/10]] | ||
| 2% | | 2.3% | ||
| strong | | strong | ||
| ? | | ? | ||
| Line 233: | Line 234: | ||
|- | |- | ||
| [[9/7]] | | [[9/7]] | ||
| | | 44.9% | ||
| normal | | normal | ||
| [[supermajor]] | | [[supermajor]] | ||
| Line 243: | Line 244: | ||
| [[hexadecoid]] | | [[hexadecoid]] | ||
| [[degrees]] | | [[degrees]] | ||
|} | |||
{| class="wikitable center-2 center-3 center-4 center-5" | |||
|+10-note circles by gen. with related [[10th-octave temperaments]] | |||
|- | |||
| [[Interval]] | |||
| [[Closing error]] | |||
| [[Circle#Definitions|Consistency]] | |||
| [[Mapping]] | |||
| [[Regular temperament]]s | |||
|- | |||
| [[15/14]] | |||
| 37.1% | |||
| normal | |||
| 1\10 | |||
| [[deca]], [[decistearn]], [[linus]] | |||
|- | |||
| [[16/13]] | |||
| 35.2% | |||
| normal | |||
| 3\10 | |||
| [[deca]], [[decistearn]], [[linus]] | |||
|- | |||
| [[69/56]] | |||
| 93.6% | |||
| weak | |||
| 3\10 | |||
| [[decistearn]] | |||
|- | |||
| [[85/69]] | |||
| 69.3% | |||
| weak | |||
| 3\10 | |||
| [[decistearn]] | |||
|} | |} | ||