24167/24000

24167/24000 is a small comma in the no-sevens 13-limit. It is the interval in which a stack of three 13/10 tridecimal semisixths exceed one 12/11 undecimal neutral second plus an octave.

Interval information

Ratio	24167/24000
Factorization	2-6 × 3-1 × 5-3 × 11 × 133
Monzo	[-6 -1 -3 0 1 3⟩
Size in cents	12.00479¢
Name	Shark cage comma
Color name	3o31og32, tritho-alotrigu 2nd
FJS name	[math]\displaystyle{ \text{ddd2}^{11,13,13,13}_{5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	29.1115
Weil norm (log2 max(n, d))	29.1215
Wilson norm (sopfr(nd))	80
Comma size	small
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Previously known, but unnamed, Budjarn Lambeth named it the shark cage comma in 2024. If you convert the digits of 24167 and 24000 into letters, where 0=A, 1=B, etc., you get CEBGH CEAAA, which is an anagram of “a beach cage”. That inspired the name of the comma.