Kaifsma

Interval information

Ratio	193648/193545
Factorization	24 × 3-2 × 5-1 × 72 × 11-1 × 13 × 17-1 × 19 × 23-1
Monzo	[4 -2 -1 2 -1 1 -1 1 -1⟩
Size in cents	0.9210761¢
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 (log2 nd)	35.1254
Weil height (log2 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.

See also

• Unnoticeable comma
• PIFE comma