52nd-octave temperaments: Difference between revisions
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{{Fractional-octave navigation|52}} | {{Fractional-octave navigation|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 == | ||
A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.19.29.31 subgroup, and tempers out the comma 2.29.31 {{monzo|-5 -52 52}}, which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52. | A period-52 temperament described as the 988 & 2444 temperament for the 2.5.11.13.19.29.31 subgroup, and tempers out the comma 2.29.31 {{monzo|-5 -52 52}}, which means 5 periods are equal to 31/29. Called so because there's 52 playing cards in the traditional deck. 1789edo does not support it as 1789 is a prime number, and therefore is not divisible by 52. | ||