97ed12

From Xenharmonic Wiki
Jump to navigation Jump to search
← 96ed1297ed1298ed12 →
Prime factorization 97 (prime)
Step size 44.3501¢ 
Octave 27\97ed12 (1197.45¢)
Twelfth 43\97ed12 (1907.05¢)
Consistency limit 10
Distinct consistency limit 8

Division of the twelfth harmonic into 97 equal parts (97ED12) is very nearly identical to 27 EDO, but with the 12/1 rather than the 2/1 being just. The octave is about 2.45 cents compressed and the step size is about 44.35 cents.

Harmonics

Approximation of harmonics in 97ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -2.55 +5.10 -5.10 +7.74 +2.55 +1.78 -7.65 +10.19 +5.19 +17.59 +0.00 -5.52 -0.77 +12.84 -10.19
Relative (%) -5.7 +11.5 -11.5 +17.5 +5.7 +4.0 -17.2 +23.0 +11.7 +39.7 +0.0 -12.5 -1.7 +28.9 -23.0
Steps
(reduced)
27
(27)
43
(43)
54
(54)
63
(63)
70
(70)
76
(76)
81
(81)
86
(86)
90
(90)
94
(94)
97
(0)
100
(3)
103
(6)
106
(9)
108
(11)