37th-octave temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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{{Infobox fractional-octave|37}} | |||
[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37. | [[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37. | ||
== 37-11-commatic (rank-1) == | |||
{{Main|37-11-comma}} | |||
Subgroup: 2.11 | |||
Comma list: {{monzo|128 -37}} | |||
{{mapping|legend=2| 37 28 }} | |||
: mapping generators: ~35184372088832/34522712143931 = 1\37 | |||
[[Support]]ing [[ET]]s: 37N, N = 1 to 485 | |||
== Rubidium == | == Rubidium == | ||
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Badness: 0.052475 | Badness: 0.052475 | ||
== | ==Ludidzelic== | ||
''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W|Cyrillic numeral}}s representation of the number 37 (Л = ludi = 30, З = dzelo = 7). Also notably, The 3rd harmonic is also is divided into 7 equal parts. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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===13-limit=== | ===13-limit=== | ||
14 periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making | 14 periods map to [[13/10]] (a property inherited from 37edo), thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655|jacobin]] temperament. | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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{{Optimal ET sequence|legend=1|296, 1369, 1665}}, ... | {{Optimal ET sequence|legend=1|296, 1369, 1665}}, ... | ||
{{Navbox fractional-octave}} | |||