40edt

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← 39edt 40edt 41edt →
Prime factorization 23 × 5
Step size 47.5489 ¢ 
Octave 25\40edt (1188.72 ¢) (→ 5\8edt)
Consistency limit 4
Distinct consistency limit 4

40EDT is the equal division of the third harmonic into 40 parts of 47.5489 cents each, corresponding to 25.2372 edo. It is related to the regular temperament which tempers out |440 -219 -40> in the 5-limit, which is supported by 101, 429, 530, 959, 1388, 1817, 2246 and 2347 EDOs.


Approximation of prime harmonics in 40edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -11.3 +0.0 +19.1 +7.1 -14.6 -18.5 -7.4 -9.8 -7.7 +18.9 -1.4 -22.4 -10.0 +2.7 -8.7
Relative (%) -23.7 +0.0 +40.1 +15.0 -30.6 -38.9 -15.6 -20.6 -16.2 +39.8 -3.0 -47.2 -21.0 +5.6 -18.2
Steps
(reduced)
25
(25)
40
(0)
59
(19)
71
(31)
87
(7)
93
(13)
103
(23)
107
(27)
114
(34)
123
(3)
125
(5)
131
(11)
135
(15)
137
(17)
140
(20)