52nd-octave temperaments

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 [-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.

Subgroup: 2.5.11.13.19.29.31

Comma list: 6656/6655, 600704/600625, 1308736/1308625, 35934301/35932160, 17179869184/17174157715

Sval mapping: [⟨52 1 197 124 238 475 480], ⟨0 7 -1 4 -1 -13 13]]

sval mapping generators: ~1460875/1441792, ~1045/832

Optimal tuning (CTE): ~134560000/107132311 = 394.757

Optimal ET sequence: 988, 1456, 2444, ...