4761/4760

Interval information

Ratio	4761/4760
Factorization	2-3 × 32 × 5-1 × 7-1 × 17-1 × 232
Monzo	[-3 2 -1 -1 0 0 -1 0 2⟩
Size in cents	0.3636664¢
Names	demiquartervice comma, demiquartervicema
Color name	23oo17urg1, bitwetho-asurugu 1sn, Bitwetho-asurugu comma
FJS name	[math]\displaystyle{ \text{dd}{-3}^{23,23}_{5,7,17} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	24.4338
Weil height (log2 max(n, d))	24.4341
Wilson height (sopfr(nd))	87
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.20033 bits
Comma size	unnoticeable
S-expression	S69
Open this interval in xen-calc

4761/4760, the demiquartervicema or demiquartervice comma is a 23-limit superparticular comma of about 0.36 cents. It is the difference between 69/68 and 70/69. By tempering it out is defined the demiquartervice temperament, which enables the demiquartervice chords.

Etymology

The words demiquartervice and demiquartervicema were introduced by Xenllium in 2023. Both were so named for the following reason – rational intervals 69/68 and 70/69 are mapped to 1/48 of an octave (25¢, demi-quartertone, halfway between both ratios) in some EDOs of the 48n-edo family (such as 48edo and 240edo).

See also

• Unnoticeable comma
• List of superparticular intervals