4ed5: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
CompactStar (talk | contribs)
No edit summary
CompactStar (talk | contribs)
No edit summary
Line 5: Line 5:
By definition, one step of this tuning is equal to [[quarter-comma meantone]], therefore it's just a circle of meantone fifths.
By definition, one step of this tuning is equal to [[quarter-comma meantone]], therefore it's just a circle of meantone fifths.


== Interval table ==
{{Interval table}}
[[Category:Ed5]]
[[Category:Ed5]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 07:36, 6 July 2023

← 3ed5 4ed5 5ed5 →
Prime factorization 22 (highly composite)
Step size 696.578 ¢ 
Octave 2\4ed5 (1393.16 ¢) (→ 1\2ed5)
Twelfth 3\4ed5 (2089.74 ¢)
(semiconvergent)
Consistency limit 3
Distinct consistency limit 3

4 equal divisons of the fifth harmonic is a nonoctave tuning with the step size of 696.5784 cents.

Theory

By definition, one step of this tuning is equal to quarter-comma meantone, therefore it's just a circle of meantone fifths.

Interval table

Steps Cents Approximate ratios
0 0 1/1, 21/20
1 696.6 3/2, 10/7, 11/7, 14/9, 17/11, 19/13
2 1393.2 7/3, 9/4, 11/5, 15/7, 20/9
3 2089.7 7/2, 10/3, 17/5
4 2786.3 5/1, 21/4