53edf

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53edf

54edf →

Prime factorization	53 (prime)
Step size	13.2444¢
Octave	91\53edf (1205.24¢)
Twelfth	144\53edf (1907.2¢)
Consistency limit	2
Distinct consistency limit	2

53EDF is the equal division of the just perfect fifth into 53 parts of 13.2444 cents each, corresponding to 90.6041 edo (similar to every fifth step of 453edo). It is related to the regular temperament which tempers out |-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.

Related temperament

7-limit 453&544&634

Comma: |-44 44 53 -53>

POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434

Mapping: [<1 1 0 0|, <0 53 0 44|, <0 0 1 1|]

EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178

7-limit 453&1178

Commas: 2460375/2458624, |6 -1 38 -33>

POTE generator: ~3796875/3764768 = 13.2432

Mapping: [<1 1 -1 -1|, <0 53 301 345|]

EDOs: 453, 725, 1178, 1631, 2084, 2809