3060/3059

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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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).

See also

• Unnoticeable comma
• List of superparticular intervals