75edt

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← 74edt 75edt 76edt →
Prime factorization 3 × 52
Step size 25.3594 ¢ 
Octave 47\75edt (1191.89 ¢)
Consistency limit 3
Distinct consistency limit 3

75EDT is the equal division of the third harmonic into 75 parts of 25.3594 cents each, corresponding to 47.3197 edo. It is related to the 7-limit temperament which tempers out 2401/2400 and |-130 138 -37 -1>, which is supported by 284edo, 1183edo, 1467edo, and 2650edo among others.

75EDT is the 14th no-twos zeta peak EDT.

Harmonics

Approximation of prime harmonics in 75edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
Error Absolute (¢) -8.1 +0.0 +3.2 +4.0 +7.6 -2.6 -10.6 -0.3 -1.4 +3.1 -10.9 +12.4 +12.2 +5.8 +4.0 -1.1
Relative (%) -32.0 +0.0 +12.7 +15.7 +30.1 -10.4 -41.8 -1.1 -5.4 +12.2 -43.1 +49.0 +48.2 +23.1 +15.8 -4.4
Steps
(reduced)
47
(47)
75
(0)
110
(35)
133
(58)
164
(14)
175
(25)
193
(43)
201
(51)
214
(64)
230
(5)
234
(9)
247
(22)
254
(29)
257
(32)
263
(38)
271
(46)