80edo: Difference between revisions
+table of rank-2 temperaments |
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80et provides the [[optimal patent val]] for 5-limit [[diaschismic]], for 13-limit [[srutal]], and for 7-, 11- and 13-limit [[bidia]]. It is a good tuning for various temperaments in [[canou family]], especially in higher limits. | 80et provides the [[optimal patent val]] for 5-limit [[diaschismic]], for 13-limit [[srutal]], and for 7-, 11- and 13-limit [[bidia]]. It is a good tuning for various temperaments in [[canou family]], especially in higher limits. | ||
{{primes in edo|80|columns=10|prec=2}} | |||
== Intervals == | == Intervals == | ||
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<nowiki>*</nowiki> based on treating 80edo as a [[29-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | <nowiki>*</nowiki> based on treating 80edo as a [[29-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | ||
== Rank-2 temperaments == | == Rank-2 temperaments == | ||
80et supports a profusion of 19-limit (and lower) rank | 80et supports a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored. We might mention: | ||
* 31&80 {{multival| 7 6 15 27 -24 -23 -20 … }} | |||
* 72&80 {{multival| 24 30 40 24 32 24 0 … }} | |||
* 34&80 {{multival| 2 -4 -50 22 16 2 -40 … }} | |||
* 46&80 {{multival| 2 -4 30 22 16 2 40 … }} | |||
* 29&80 {{multival| 3 34 45 33 24 -37 20 … }} | |||
* 12&80 {{multival| 4 -8 -20 -36 32 4 0 … }} | |||
* 22&80 {{multival| 6 -10 12 -14 -32 6 -40 … }} | |||
* 58&80 {{multival| 6 -10 12 -14 -32 6 40 … }} | |||
* 41&80 {{multival| 7 26 25 -3 -24 -33 20 … }} | |||
In each case, the numbers joined by an ampersand represent 19-limit [[patent val]]s (meaning obtained by rounding to the nearest integer) and the first and most important part of the wedgie is given. | In each case, the numbers joined by an ampersand represent 19-limit [[patent val]]s (meaning obtained by rounding to the nearest integer) and the first and most important part of the wedgie is given. | ||