Kaifsma
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Ratio | 193648/193545 |
Factorization | 2^{4} × 3^{-2} × 5^{-1} × 7^{2} × 11^{-1} × 13 × 17^{-1} × 19 × 23^{-1} |
Monzo | [4 -2 -1 2 -1 1 -1 1 -1⟩ |
Size in cents | 0.92107611¢ |
Names | kaifsma, Twethunosutholuzozogu comma |
Color name | 23u19o17u3o1uzzg2, twethunosutholuzozogu 2nd |
FJS name | [math]\text{dd3}^{7,7,13,19}_{5,11,17,23}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 35.1254 |
Weil height (log_{2} max(n, d)) | 35.1262 |
Wilson height (sopfr (nd)) | 116 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.20615 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The interval of 193648/193545, or the kaifsma, is an unnoticeable 23-limit comma, which happens also to be an imperfect PIFE comma. It was discovered by Kaiveran, messing around in xen-calc after learning (to eir disappointment) that there were no S-PIFE commas in the 23-limit.
The name is a portmanteau of Kai + PIFE, and also references Arabic kaif (pleasure/delight), as Kai was delighted to find it so quickly.
Tempering it out leads to kaifsmic temperament, which enables the kaifsmic chords. EDOs that support this include 130, 183, 193, 270, 282, 311, 388, 581, and 624.