119ed6

From Xenharmonic Wiki
Jump to navigation Jump to search
← 118ed6119ed6120ed6 →
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 46 edo, 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 harmonics in 119ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Error Absolute (¢) -0.92 +0.92 -1.85 +2.84 +0.00 -6.20 -2.77 +1.85 +1.91 -6.69 -0.92 -9.16 -7.13 +3.76
Relative (%) -3.5 +3.5 -7.1 +10.9 +0.0 -23.8 -10.6 +7.1 +7.3 -25.7 -3.5 -35.2 -27.3 +14.4
Steps
(reduced)
46
(46)
73
(73)
92
(92)
107
(107)
119
(0)
129
(10)
138
(19)
146
(27)
153
(34)
159
(40)
165
(46)
170
(51)
175
(56)
180
(61)