55/49
Jump to navigation
Jump to search
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]\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]\sqrt{nd}[/math])
~4.19863 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.