159th-octave temperaments: Difference between revisions
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{{ | {{Infobox fractional-octave|159}} | ||
[[159edo]] is a notable [[17-limit]] system. It first contains [[53edo]], tempering out Mercator's comma. | [[159edo]] is a notable [[17-limit]] system. It first contains [[53edo]], tempering out Mercator's comma. | ||
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This page collects temperaments that are of theoretical interest specific to 159edo, beyond just [[53edo]]. | This page collects temperaments that are of theoretical interest specific to 159edo, beyond just [[53edo]]. | ||
== Auric == | == Auric == | ||
''Auric'', named after [[Aura]], is defined by setting the 2.3.5.11 mapping to that of 159edo and the generator for the prime 7 being independent. | ''Auric'', named after [[Aura]], is defined by setting the 2.3.5.11 mapping to that of 159edo and the generator for the prime 7 being independent. | ||
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=== 11-limit === | === 11-limit === | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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=== 13-limit === | === 13-limit === | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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=== 17-limit === | === 17-limit === | ||
[[Subgroup]]: 2.3.5.7.11.13.17 | [[Subgroup]]: 2.3.5.7.11.13.17 | ||
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[[Support]]ing [[ET]]s: {{EDOs|159, 795g, 954}} | [[Support]]ing [[ET]]s: {{EDOs|159, 795g, 954}} | ||
{{Navbox fractional-octave}} | |||