3060/3059

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.

Interval information

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]\displaystyle{ \text{P1}^{5,17}_{7,19,23} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	23.1582
Weil norm (log2 max(n, d))	23.1586
Wilson norm (sopfr(nd))	81
Comma size	unnoticeable
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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).

See also

• Unnoticeable comma
• List of superparticular intervals