63/55

Interval information

Ratio	63/55
Factorization	32 × 5-1 × 7 × 11-1
Monzo	[0 2 -1 1 -1⟩
Size in cents	235.1043¢
Name	werckismic supermajor second
Color name	1uzg3, luzogu 3rd
FJS name	[math]\displaystyle{ \text{m3}^{7}_{5,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	11.7586
Weil height (log2 max(n, d))	11.9546
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.19635 bits
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63/55, the werckismic supermajor second, is 441/440 (3.9 cents) sharp of 8/7, 385/384 (4.5 cents) flat of 147/128, and 3025/3024 (0.57 cents) flat of 55/48. It arises in 11-limit scales as the interval between 10/9 and 14/11, 11/9 and 7/5, and their inversions.

Terminology

It has been called keenanismic inframinor third, despite that 147/128 is a rather obscure interval.

See also

• Gallery of just intervals