91st-octave temperaments: Difference between revisions
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{{Infobox fractional-octave|91}} | |||
91st-octave temperaments occur naturally through an edo join between any two equal divisions whose greatest common divisor is 91. | |||
==Protactinium== | Of multiples of 91, [[364edo]] and [[1547edo]] are notable for having high consistency limits. Therefore protactinium, is considered below. | ||
Protactinium is described as the 364 & 1547 temperament and named after the 91st element. | |||
== Protactinium == | |||
Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Despite being consistent only up to 11-limit, [[1911edo]] is also a strong tuning. | |||
Coincidentally, it reaches [[91/64]] in 1 generator. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[Support]]ing [[ET]]s: {{EDOs|364, 819, 1183, 1547, 1911, 2730, 3094, 3913, 4277}} | [[Support]]ing [[ET]]s: {{EDOs|364, 819, 1183, 1547, 1911, 2730, 3094, 3913, 4277}} | ||
====11-limit==== | |||
==== 11-limit ==== | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Support]]ing [[ET]]s: {{EDOs|364, 819e, 1183, 1547, 1911, 2275, 2730e, 3458}} | [[Support]]ing [[ET]]s: {{EDOs|364, 819e, 1183, 1547, 1911, 2275, 2730e, 3458}} | ||
====13-limit==== | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.0777 | Badness: 0.0777 | ||
====17-limit==== | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
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Badness: 0.0582 | Badness: 0.0582 | ||
{{Navbox fractional-octave}} | |||