# 4ed5

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

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, 15/14, 21/20, 22/21, 26/25, 28/27, 35/33, 45/44, 50/49, 52/49, 55/52, 77/75, 78/77, 81/80
1 696.578 3/2, 7/5, 10/7, 11/7, 14/9, 22/15, 35/22, 39/25, 40/27, 49/33, 50/33, 52/33, 52/35, 55/39, 63/40, 63/44, 75/49, 75/52, 77/50, 77/52, 78/49, 78/55, 81/56
2 1393.157 7/3, 9/4, 11/5, 15/7, 20/9, 21/10, 25/11, 26/11, 33/14, 44/21, 49/22, 50/21, 55/26, 70/33, 78/35
3 2089.735 7/2, 10/3, 22/7, 25/7, 27/8, 33/10, 35/11, 39/11, 45/14, 49/15, 52/15, 63/20, 75/22, 78/25
4 2786.314 5/1, 14/3, 33/7, 44/9, 49/10, 52/11