Anthill comma

Interval information

Ratio	532400/531441
Factorization	24 × 3-12 × 52 × 113
Monzo	[4 -12 2 0 3⟩
Size in cents	3.121244¢
Name	Tetracot schisma
Color name	s1o3yy1, satrilo-ayoyo 1sn
FJS name	[math]\displaystyle{ \text{d1}^{5,5,11,11,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	38.0417
Weil height (log2 max(n, d))	38.0443
Wilson height (sopfr(nd))	87
Comma size	unnoticeable
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532400/531441, the tetracot schisma, is an unnoticeable 11-limit comma that splits the ptolemisma into two rastmas and equates a stack of two syntonic commas with 1331/1296, the Alpharabian parachromatic semilimma. In addition, it can be identified as the interval separating an octave-reduced stack of two 729/484 Alphrabian wide fifths from a 25/22 ptolemismic whole tone, and, it is the sum of the wizardharry comma and the parimo.

Etymology

The tetracot schisma was named by XA Discord user Neutraldown, because it is in the schisma size range and is tempered out by tetracot temperament. This deliberately parallels the name of the tetracot kleisma.

Previously it was named "anthill comma" after PLoS Biol. 2014 Mar; 12(3): e1001805. (the paper The Ecology of Collective Behavior by Deborah M. Gordon, about ant colonies), because 532400 / 531441 = ~1.001805. That name is no longer preferred, because "tetracot schisma" is more straightforward and informative.