39ed15/8: Difference between revisions

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Revision as of 20:36, 15 May 2024

← 38ed15/8 39ed15/8 40ed15/8 →
Prime factorization 3 × 13
Step size 27.9043 ¢ 
Octave 43\39ed15/8 (1199.89 ¢)
(convergent)
Twelfth 68\39ed15/8 (1897.49 ¢)
(semiconvergent)
Consistency limit 8
Distinct consistency limit 8

Division of the just major seventh into 39 equal parts (39ED15/8) is almost identical to 43 EDO, but with the 15/8 rather than the 2/1 being just. The octave is about 0.11 cents compressed and the step size is about 44.35 cents.

Harmonics

Approximation of harmonics in 39ed15/8
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -0.11 -4.46 -0.23 +4.12 -4.57 +7.60 -0.34 -8.92 +4.00 +6.43 -4.69 -3.74 +7.48 -0.34 -0.46
Relative (%) -0.4 -16.0 -0.8 +14.8 -16.4 +27.2 -1.2 -32.0 +14.4 +23.0 -16.8 -13.4 +26.8 -1.2 -1.6
Steps
(reduced)
43
(4)
68
(29)
86
(8)
100
(22)
111
(33)
121
(4)
129
(12)
136
(19)
143
(26)
149
(32)
154
(37)
159
(3)
164
(8)
168
(12)
172
(16)