15ed7/4

From Xenharmonic Wiki
Jump to navigation Jump to search
← 14ed7/415ed7/416ed7/4 →
Prime factorization 3 × 5
Step size 64.5884¢ 
Octave 19\15ed7/4 (1227.18¢)
Twelfth 29\15ed7/4 (1873.06¢)
(semiconvergent)
Consistency limit 2
Distinct consistency limit 2

15ED7/4 is the equal division of the harmonic seventh into fifteen parts of 64.5884 cents each, corresponding to 18.5792 EDO.


Approximation of harmonics in 15ed7/4
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +27.2 -28.9 -10.2 -9.0 -1.7 -10.2 +17.0 +6.8 +18.2 -17.7 +25.5
Relative (%) +42.1 -44.7 -15.8 -14.0 -2.7 -15.8 +26.2 +10.5 +28.1 -27.3 +39.4
Steps
(reduced)
19
(4)
29
(14)
37
(7)
43
(13)
48
(3)
52
(7)
56
(11)
59
(14)
62
(2)
64
(4)
67
(7)

Intervals

degree cents value ratio
0 0.0000 1/1
1 64.5884 (7/4)1/15
2 129.1769 (7/4)2/15
3 193.7652 (7/4)1/5
4 258.3536 (7/4)4/15
5 322.9420 (7/4)1/3
6 387.5304 (7/4)2/5
7 452.1188 (7/4)7/15
8 516.7072 (7/4)8/15
9 581.2955 (7/4)3/5
10 645.8839 (7/4)2/3
11 710.4723 (7/4)11/15
12 775.0607 (7/4)4/5
13 839.6491 (7/4)13/15
14 904.2375 (7/4)14/15
15 968.8259 7/4

Music