3060/3059
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| Ratio | 3060/3059 |
| Factorization | 22 × 32 × 5 × 7-1 × 17 × 19-1 × 23-1 |
| Monzo | [2 2 1 -1 0 0 1 -1 -1⟩ |
| Size in cents | 0.56585523¢ |
| Names | vicious comma, viciousma |
| Color name | 23u19u17ory-2, twethunusoruyo negative 2nd, Twethunusoruyo comma |
| FJS name | [math]\text{P1}^{5,17}_{7,19,23}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 23.1582 |
| Weil height (log2 max(n, d)) | 23.1586 |
| Wilson height (sopfr (nd)) | 81 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.2012 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
3060/3059, the viciousma or vicious comma is a 23-limit superparticular comma of about 0.57 cents. It is the amount by which a stack of 17/14, 24/19 and 30/23 exceeds an octave. By tempering it out is defined the vicious temperament, which enables the vicious chords.
Etymology
The word vicious for this comma was introduced by Xenllium in 2023. It was so named because essentialy tempered triads 1-24/19-23/15 (with steps 24/19-17/14-30/23) and 1-17/14-23/15 (with steps 17/14-24/19-30/23) are "vicious", on account of their dissonance in comparison to the classical major triad (1-5/4-3/2) and minor triad (1-6/5-3/2).