142ed6

From Xenharmonic Wiki
Jump to navigation Jump to search
← 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 55 edo, 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 harmonics in 142ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) +1.46 -1.46 +2.92 +9.81 +0.00 -4.73 +4.38 -2.92 -10.57 -0.81 +1.46 -6.04 -3.27 +8.35 +5.85
Relative (%) +6.7 -6.7 +13.4 +44.9 +0.0 -21.7 +20.1 -13.4 -48.4 -3.7 +6.7 -27.7 -15.0 +38.2 +26.8
Steps
(reduced)
55
(55)
87
(87)
110
(110)
128
(128)
142
(0)
154
(12)
165
(23)
174
(32)
182
(40)
190
(48)
197
(55)
203
(61)
209
(67)
215
(73)
220
(78)