13th-octave temperaments

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Discussed elsewhere are:

Tridecatonic

See also: Octagar temperaments #Tridecatonic, Ragismic microtemperaments #Trideci, and 26th-octave temperaments

Tridecatonic tempers out the devil's tridecalimma, the comma which associates the 10/9 minor tone with 2 steps of 13edo.

Subgroup: 2.3.5

Comma: 2541865828329/2500000000000

Mapping: [13 21 31], 0 -1 -2]]

POTE generator: ~3/2 = 701.0837

Optimal ET sequence26, 39, 65, 286, 351, 416, 481, 546

Badness: 0.437494