Xenharmonic Wiki

8ed5

Revision as of 08:40, 10 July 2023 by CompactStar (talk | contribs) (Created page with "{{Infobox ET}} == Theory == === Odd harmonics === {{Harmonics in equal|8|5|1}} == Interval table == {{Interval table}}")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
← 7ed5 8ed5 9ed5 →
Prime factorization 23
Step size 348.289 ¢ 
Octave 3\8ed5 (1044.87 ¢)
Twelfth 5\8ed5 (1741.45 ¢)
Consistency limit 3
Distinct consistency limit 3

Theory

Odd harmonics

Approximation of harmonics in 8ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -155 -161 +38 +0 +33 +114 -117 +27 -155 +28 -122
Relative (%) -44.5 -46.1 +10.9 +0.0 +9.4 +32.8 -33.6 +7.8 -44.5 +8.1 -35.2
Steps
(reduced) 		3
(3) 		5
(5) 		7
(7) 		8
(0) 		9
(1) 		10
(2) 		10
(2) 		11
(3) 		11
(3) 		12
(4) 		12
(4)

Interval table

Steps Cents Approximate ratios
0 0 1/1
1 348.3 17/14, 21/17
2 696.6 3/2, 19/13, 22/15
3 1044.9 13/7
4 1393.2 9/4, 11/5, 20/9
5 1741.4 14/5, 19/7
6 2089.7 10/3, 17/5
7 2438
8 2786.3 5/1
Retrieved from "https://en.xen.wiki/index.php?title=8ed5&oldid=119883"