68ed12: Difference between revisions

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Revision as of 19:35, 14 May 2024

← 67ed12 68ed12 69ed12 →
Prime factorization 22 × 17
Step size 63.264 ¢ 
Octave 19\68ed12 (1202.02 ¢)
Twelfth 30\68ed12 (1897.92 ¢) (→ 15\34ed12)
Consistency limit 10
Distinct consistency limit 7

Division of the twelfth harmonic into 68 equal parts (68ED12) is very nearly identical to 19 EDO, but with the 12/1 rather than the 2/1 being just. The octave is about 2.02 cents stretched and the step size is about 63.264 cents.

Harmonics

Approximation of harmonics in 68ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) +2.02 -4.03 +4.03 -2.70 -2.02 -15.83 +6.05 -8.07 -0.68 +24.11 +0.00 -12.04 -13.81 -6.73 +8.07
Relative (%) +3.2 -6.4 +6.4 -4.3 -3.2 -25.0 +9.6 -12.8 -1.1 +38.1 +0.0 -19.0 -21.8 -10.6 +12.8
Steps
(reduced)
19
(19)
30
(30)
38
(38)
44
(44)
49
(49)
53
(53)
57
(57)
60
(60)
63
(63)
66
(66)
68
(0)
70
(2)
72
(4)
74
(6)
76
(8)