33ed5

← 32ed5

33ed5

34ed5 →

Prime factorization	3 × 11
Step size	84.4337¢
Octave	14\33ed5 (1182.07¢)
Twelfth	23\33ed5 (1941.98¢)
Consistency limit	2
Distinct consistency limit	2

33ED5 is the equal division of the 5th harmonic into 33 parts of 84.4337 cents each (very close to the minor septimal semitone, 21/20, 84.4672 cents). It is related to the 128&270 temperament (Septisemitonic temperament, named by Xenllium), which tempers out 102760448/102515625 and 200120949/200000000 in the 7-limit, supported by 128, 142, 270, 398, 412, 668, and 682 EDOs.

Related regular temperaments

7-limit 128&270

Commas: 102760448/102515625, 200120949/200000000

POTE generator: ~21/20 = 84.4463

Mapping: [<2 5 0 -1|, <0 -13 33 47|]

EDOs: 128, 142, 270, 398, 412, 668, 682

Badness: 0.1661

11-limit 128&270

Commas: 3025/3024, 131072/130977, 422576/421875

POTE generator: ~21/20 = 84.4430

Mapping: [<2 5 0 -1 11|, <0 -13 33 47 -29|]

EDOs: 128, 142, 270, 398, 412, 668, 682

Badness: 0.0583