142ed6

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← 141ed6 142ed6 143ed6 →
Prime factorization 2 × 71
Step size 21.8448¢ 
Octave 55\142ed6 (1201.46¢)
Twelfth 87\142ed6 (1900.49¢)
Consistency limit 4
Distinct consistency limit 4

Division of the sixth harmonic into 142 equal parts (142ED6) is practically identical to 55edo, but with the 6/1 rather than the 2/1 being just. The octave is about 1.46 cents stretched and the step size is about 21.84 cents.

Harmonics

Approximation of prime harmonics in 142ed6
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.46 -1.46 +9.81 -4.73 -0.81 -6.04 +10.11 -7.69 -10.78 +2.97 -3.26
Relative (%) +6.7 -6.7 +44.9 -21.7 -3.7 -27.7 +46.3 -35.2 -49.3 +13.6 -14.9
Steps
(reduced)
55
(55)
87
(87)
128
(128)
154
(12)
190
(48)
203
(61)
225
(83)
233
(91)
248
(106)
267
(125)
272
(130)
Approximation of prime harmonics in 142ed6
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -3.74 -6.70 -1.78 -2.86 +7.59 -3.32 +4.50 -5.00 +3.83 -0.57 -6.25
Relative (%) -17.1 -30.7 -8.2 -13.1 +34.8 -15.2 +20.6 -22.9 +17.5 -2.6 -28.6
Steps
(reduced)
286
(2)
294
(10)
298
(14)
305
(21)
315
(31)
323
(39)
326
(42)
333
(49)
338
(54)
340
(56)
346
(62)


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