3645/3584

Interval information

Ratio	3645/3584
Factorization	2-9 × 36 × 5 × 7-1
Monzo	[-9 6 1 -1⟩
Size in cents	29.21781¢
Name	schismean comma[idiosyncratic term]
Color name	Lry-2, Laruyo negative 2nd
FJS name	[math]\displaystyle{ \text{d}{-2}^{5}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	23.6391
Weil norm (log2 max(n, d))	23.6634
Wilson norm (sopfr(nd))	48
Comma size	small
Open this interval in xen-calc

The schismean comma^{[idiosyncratic term]} (monzo: [-9 6 1 -1⟩, ratio: 3645/3584) is a small 7-limit comma measuring about 29.2 cents. It was named by Xenllium in 2022, most likely as a contraction of schism and meantone.

It is the difference between three major whole tones and a small septimal tritone, or in other words, (9/8)³/(7/5).

Temperaments

Tempering out this comma leads to the rank-3 schismean temperament. Rank-2 temperaments which temper out this comma include schism, meantone, and pycnic.