625/616

The quadrikite comma was discovered by Lumi Pakkanen and Praveen Venkataramana when prompted to create a temperament that produces a 6L 5s MOS pattern so that the pattern could be named xeimtonic. The name quarikite 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.

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 defines the xeimtionic temperament (pronounced zeem-tee-onic) when paired with the frostma 245/242 to produce 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.