119ed6

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← 118ed6 119ed6 120ed6 →
Prime factorization 7 × 17
Step size 26.0668¢ 
Octave 46\119ed6 (1199.08¢)
Twelfth 73\119ed6 (1902.88¢)
Consistency limit 18
Distinct consistency limit 10

Division of the sixth harmonic into 119 equal parts (119ED6) is related to 46edo, but with the 6/1 rather than the 2/1 being just. The octave is about 0.92 cents compressed and the step size is about 26.0668 cents. It is consistent to the 18-integer-limit, whereas 46edo is only consistent up to the 14-integer-limit.

Harmonics

Approximation of prime harmonics in 119ed6
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.9 +0.9 +2.8 -6.2 -6.7 -9.2 -4.4 +11.6 -6.4 +9.4 -1.8
Relative (%) -3.5 +3.5 +10.9 -23.8 -25.7 -35.2 -16.8 +44.5 -24.4 +36.0 -6.9
Steps
(reduced)
46
(46)
73
(73)
107
(107)
129
(10)
159
(40)
170
(51)
188
(69)
196
(77)
208
(89)
224
(105)
228
(109)
Approximation of prime harmonics in 119ed6
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +4.7 +9.4 +5.2 +7.6 +8.1 +4.9 -0.6 -6.7 -2.8 +1.3 -5.2
Relative (%) +18.0 +36.3 +19.9 +29.2 +31.2 +19.0 -2.4 -25.5 -10.7 +4.8 -19.8
Steps
(reduced)
240
(2)
247
(9)
250
(12)
256
(18)
264
(26)
271
(33)
273
(35)
279
(41)
283
(45)
285
(47)
290
(52)


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