55/49
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| Ratio | 55/49 |
| Factorization | 5 × 7-2 × 11 |
| Monzo | [0 0 1 -2 1⟩ |
| Size in cents | 199.97984¢ |
| 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 | |
55/49, the werckismic tone, is 0.02 cents flat of the 200 cent tone of 12edo, and 441/440 (3.9 cents) 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 cents. 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.