625/616

Revision as of 12:36, 14 August 2022 by Frostburn (talk | contribs) (Fix temperament reference.)

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 was originally intended to be paired with the frostma 245/242 to produce the frostburn temperament as this was to be called xeimtionic (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, but the name wasn't used for TAMNAMS after all to remain temperament agnostic.

AI generated image of xenharmonic music theory.

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

See also