3060/3059
Jump to navigation
Jump to search
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
0.5658552¢
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
| Interval information |
viciousma
twethunusoruyo negative 2nd,
Twethunusoruyo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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).