625/616
| Ratio | 625/616 |
| Factorization | 2-3 × 54 × 7-1 × 11-1 |
| Monzo | [-3 0 4 -1 -1⟩ |
| Size in cents | 25.111007¢ |
| Name | Quadrikite comma |
| Color name | 1ury4-2, luruquadyo negative 2nd |
| FJS name | [math]\text{dd}{-2}^{5,5,5,5}_{7,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 18.5545 |
| Weil height (log2 max(n, d)) | 18.5754 |
| Wilson height (sopfr (nd)) | 44 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.10876 bits |
| Comma size | small |
| open this interval in xen-calc | |
The quadrikite comma (ratio: 625/616, monzo: [-3 0 4 -1 -1⟩) is a small 11-limit (also 2.5.7.11 subgroup) comma.
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 was not used for TAMNAMS after all to remain temperament agnostic.
It can be factored into (100/99)(225/224).
Temperaments
Tempering out this comma in the 2.5.7.11 subgroup leads to the rank-3 pakkanen temperament.