625/616

The quadrikite comma (ratio: 625/616, monzo: [-3 0 4 -1 -1⟩) is a small 11-limit comma.

Interval information

Ratio	625/616
Factorization	2-3 × 54 × 7-1 × 11-1
Monzo	[-3 0 4 -1 -1⟩
Size in cents	25.11101¢
Name	Quadrikite comma
FJS name	[math]\displaystyle{ \text{dd}{-2}^{5,5,5,5}_{7,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	18.5545
Weil norm (log2 max(n, d))	18.5754
Wilson norm (sopfr(nd))	44
Open this interval in xen-calc

It was discovered by Lumi Pakkanen and Praveen Venkataramana when prompted to create a temperament that could be called xeimtionic that produces a 6L 5s mos pattern so that the pattern could be named xeimtonic. The name quadrikite comes from the fact that a gap of four strings on the Kite guitar can be both 625/256 and 77/32 when this comma is tempered out. It needs to be paired with the frostma 245/242 to produce the xeimtionic temperament (pronounced zeem-tee-onic) for the desired 6L 5s mos pattern. All of this was inspired by an AI generated picture of xenharmonic music theory featuring something that looks like the word XEIMTIONC.

AI generated image of xenharmonic music theory.

It can be factored into (100/99)(225/224).

See also

• Small comma