49edf

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49EDF is the equal division of the just perfect fifth into 49 parts of 14.3256 cents each, corresponding to 83.7661 edo (similar to every fourth step of 335edo).

← 48edf 49edf 50edf →
Prime factorization 72
Step size 14.3256 ¢ 
Octave 84\49edf (1203.35 ¢) (→ 12\7edf)
Twelfth 133\49edf (1905.31 ¢) (→ 19\7edf)
Consistency limit 4
Distinct consistency limit 4

It is related to the temperament which tempers out |71 27 -49> in the 5-limit, which is supported by 83, 84, 167, 251, 335, 419, 503, and 586 EDOs.

Lookalikes: 84edo, 133edt

Harmonics

Subgroups 49edf performs well on include the no-5s 31-limit, the dual-5 31-limit, and any subsets thereof.

Approximation of prime harmonics in 49edf
Harmonic 2 3 5 7 11 13 17
Error Absolute (¢) +3.35 +3.35 -7.14 -2.31 +3.11 +0.41 -5.60
Relative (%) +23.4 +23.4 -49.9 -16.1 +21.7 +2.9 -39.1
Steps
(reduced)
84
(35)
133
(35)
194
(47)
235
(39)
290
(45)
310
(16)
342
(48)
(contd.)
Harmonic 19 23 29 31 37 41 43
Error Absolute (¢) +2.40 +1.13 +0.95 +0.09 -5.38 +3.14 +6.64
Relative (%) +16.8 +7.9 +6.6 +0.7 -37.5 +21.9 +46.3
Steps
(reduced)
356
(13)
379
(36)
407
(15)
415
(23)
436
(44)
449
(8)
455
(14)