55/48

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Interval information
Ratio 55/48
Factorization 2-4 × 3-1 × 5 × 11
Monzo [-4 -1 1 0 1
Size in cents 235.6767¢
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

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.

See also