55/48

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.19852 bits
[sound info]
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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

• 96/55 – its octave complement
• 144/110 – its fifth complement
• Gallery of just intervals