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{n\cdot d}[/math]) |
~4.55805 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.