55/48
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Ratio
55/48
Factorization
2-4 × 3-1 × 5 × 11
Monzo
[-4 -1 1 0 1⟩
Size in cents
235.67666¢
Name
keenanismic supermajor second
Color name
1oy2, loyo 2nd
FJS name
[math]\text{M2}^{5,11}[/math]
Special properties
reduced
Tenney height (log2 nd)
11.3663
Weil height (log2 max(n, d))
11.5627
Wilson height (sopfr(nd))
27
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.19852 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
55/48, the keenanismic supermajor second, is 385/384 (4.5 ¢) sharper than 8/7. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions.
Approximation
It is 0.038 ¢ flatter than the 11\56 supermajor second of 56edo.
Usage
This interval is prominent in Johannes Dahle's playing, as he uses it to harmonize with a 11/8.