3520/3519

Interval information

Ratio	3520/3519
Factorization	26 × 3-2 × 5 × 11 × 17-1 × 23-1
Monzo	[6 -2 1 0 1 0 -1 0 -1⟩
Size in cents	0.4918977¢
Names	vicedim comma, vicedimma
Color name	23u17u1oy-2, twethusuloyo negative 2nd, Twethusuloyo comma
FJS name	[math]\text{P1}^{5,11}_{17,23}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	23.5623
Weil height (log2 max(n, d))	23.5627
Wilson height (sopfr(nd))	74
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.20048 bits
Comma size	unnoticeable
Open this interval in xen-calc

3520/3519, the vicedimma or vicedim comma is a 23-limit superparticular comma of about 0.49 cents. It is the amount by which a stack of 11/9 and 20/17 exceeds 23/16. By tempering it out is defined the vicedim temperament, which enables the vicedim chords.

Etymology

The words vicedim and vicedimma were introduced by Xenllium in 2023. Both were contractions of vicesimotertial diminished comma, and so named for the comma which induces essentialy tempered triads 1-11/9-23/16 (with steps 11/9, 20/17, 32/23) and 1-20/17-23/16 (with steps 20/17, 11/9, 32/23), on account of their dissonance in comparison to the septimal diminished triads (1-6/5-7/5 and 1-7/6-7/5), tridecimal diminished triads (1-11/9-13/9 and 1-13/11-13/9) or septendecimal diminished triads (1-17/14-10/7 and 1-20/17-10/7).

See also

• Unnoticeable comma
• List of superparticular intervals