55/42

Interval information

Ratio	55/42
Factorization	2-1 × 3-1 × 5 × 7-1 × 11
Monzo	[-1 -1 1 -1 1⟩
Size in cents	466.8507¢
Name	werckismic subfourth
Color name	1ory3, loruyo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{5,11}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	11.1737
Weil height (log2 max(n, d))	11.5627
Wilson height (sopfr(nd))	28
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.26853 bits
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55/42 the werckismic subfourth, is 441/440 (3.9 cents) flat of 21/16, and 385/384 (4.5 cents) sharp of 64/49. It arises in 11-limit JI scales as the interval between 16/11 and 40/21, and between 21/16 and 55/32.

Terminology

It has been called keenanismic ultramajor third, despite that 64/49 is a more complex interval.

See also

• 84/55 – its octave complement
• 63/55 – its fifth complement
• Gallery of just intervals