52nd-octave temperaments: Difference between revisions
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{{ | {{Technical data page}} | ||
{{Infobox fractional-octave|52}} | |||
See [[52edo]]. | |||
== 52-31/29-commatic == | |||
This temperament establishes the mapping of [[31/29]] to 5\52. | |||
Subgroup: 2.29.31 | |||
Comma list: 2.29.31 {{monzo|-5 -52 52}} | |||
{{Mapping|legend=2| 52 0 5 | 0 1 1 }} | |||
: sval mapping generators: ~2.29.31 {{monzo|2 -21 21}} = 1\52, ~29 | |||
[[Optimal tuning]] ([[CTE]]): ~29/16 = 1029.613 | |||
[[Support]]ing [[ET]]s: {{EDOs|52, 260, 416, 624, 676, 988, 1092, 1352, 1768}},... | |||
== French deck == | == French deck == | ||
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{{Optimal ET sequence|legend=1|988, 1456, 2444}}, ... | {{Optimal ET sequence|legend=1|988, 1456, 2444}}, ... | ||
== Tellurium == | |||
Tellurium preserves [[26edo]]'s accurate mappings of [[8/7]] and [[13/12]]; it brings in mappings of [[11/9]] and [[51/49]] from 52edo. | |||
Subgroup: 2.3.7.11.13.17 | |||
[[Comma list]]: 8624/8619, 22528/22491, 34969/34944, 41503/41472 | |||
[[Mapping]]: [{{val| 52 52 146 119 162 243 }}, {{val| 0 1 0 2 1 -1 }}] | |||
Mapping generators: ~78/77, ~3/2 | |||
Optimal tuning ([[CTE]]): ~3/2 = 702.261 | |||
{{Optimal ET sequence|legend=1| 104, 260, 364, 832, 1196, 2028bdefg }} | |||
[[Badness]] (Sintel): 1.501 | |||
{{Navbox fractional-octave}} | |||
{{todo|inline=1|improve synopsis}} | |||