24167/24000

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Revision as of 00:43, 13 October 2024 by BudjarnLambeth (talk | contribs) (BudjarnLambeth moved page 24167/24000 to Shark cage comma: Big comma number)
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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
Open this interval in xen-calc

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.

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.