4ed5
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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
| ← 3ed5 | 4ed5 | 5ed5 → |
(semiconvergent)
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 | 1393.16 | 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 | 2089.74 | 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 | 2786.31 | 5/1, 14/3, 33/7, 44/9, 49/10, 52/11 |