55/49

Interval information

Ratio	55/49
Factorization	5 × 7-2 × 11
Monzo	[0 0 1 -2 1⟩
Size in cents	199.9798¢
Name	werckismic tone
Color name	1orry1, loruruyo unison
FJS name	[math]\displaystyle{ \text{A1}^{5,11}_{7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	11.3961
Weil height (log2 max(n, d))	11.5627
Wilson height (sopfr(nd))	30
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.19863 bits
[sound info]
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55/49, the werckismic tone, is 0.02 ¢ flat of the 200 cent tone of 12edo, and 441/440 (3.9¢) flat of the major whole tone, 9/8. It is identified with the 200 cent tone by the spoob comma, which sets 6 instances of this interval to be equal to the octave. This is related to the fact that two schismas (32805/32768 each) are very nearly 441/440, differing only by the comma [27 -14 -3 2 -1⟩ of 0.02 ¢. It arises in 11-limit scales as the interval from 7/5 to 11/7.

In Functional Just System and Helmholtz–Ellis notation, this interval is represented by an augmented unison.

See also

• Gallery of just intervals