5ed5

From Xenharmonic Wiki
Revision as of 08:39, 10 July 2023 by CompactStar (talk | contribs) (Created page with "{{Infobox ET}} == Theory == === Odd harmonics === {{Harmonics in equal|5|5|1}} == Interval table == {{Interval table}}")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
← 4ed5 5ed5 6ed5 →
Prime factorization 5 (prime)
Step size 557.263 ¢ 
Octave 2\5ed5 (1114.53 ¢)
(semiconvergent)
Twelfth 3\5ed5 (1671.79 ¢)
Consistency limit 5
Distinct consistency limit 3

Theory

Odd harmonics

Approximation of harmonics in 5ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -85 -230 -171 +0 +242 -25 -256 +97 -85 -250 +156
Relative (%) -15.3 -41.3 -30.7 +0.0 +43.4 -4.5 -46.0 +17.4 -15.3 -44.9 +28.0
Steps
(reduced) 		2
(2) 		3
(3) 		4
(4) 		5
(0) 		6
(1) 		6
(1) 		6
(1) 		7
(2) 		7
(2) 		7
(2) 		8
(3)

Interval table

Steps Cents Approximate ratios
0 0 1/1
1 557.3 4/3, 7/5, 10/7, 11/8, 15/11, 19/14
2 1114.5 11/6, 13/7, 15/8, 19/10, 21/11
3 1671.8 8/3, 13/5, 19/7, 21/8
4 2229.1 7/2, 11/3, 15/4
5 2786.3 5/1
Retrieved from "https://en.xen.wiki/index.php?title=5ed5&oldid=119881"