Anthill comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Satrilo-ayoyo comma
| Ratio = 532400/531441
| Name = anthill comma, tetracot schisma
| Color name = s1o<sup>3</sup>yy1, satrilo-ayoyo 1sn
| Color name = s1o<sup>3</sup>yy1, satrilo-ayoyo 1sn
| Comma = yes
| Comma = yes
}}
}}


The comma '''532400/531441''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma that splits the [[ptolemisma]] into two [[rastma]]s and equates a stack of two [[syntonic comma]]s 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]].
'''532400/531441''', the '''anthill comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma that splits the [[ptolemisma]] into two [[rastma]]s and equates a stack of two [[syntonic comma]]s 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 ==
[[Budjarn Lambeth]] named the "anthill comma" after [https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3949665/ PLoS Biol. 2014 Mar; 12(3): e1001805.] (''The Ecology of Collective Behavior'' by Deborah M. Gordon), a paper about ant colonies. This referenced the comma’s ratio: 532400 / 531441 = ~1.001805.
 
XA [[Discord]] user Neutraldown also proposed the name "tetracot schisma" for this comma, because it is in the [[schisma]] size range and is [[tempered out]] by [[tetracot]] temperament. This deliberately parallels the name of the [[tetracot kleisma]].
 
[[Category:Commas named for their regular temperament properties]]
[[Category:Tetracot]]

Latest revision as of 09:24, 9 June 2025

Interval information
Ratio 532400/531441
Factorization 24 × 3-12 × 52 × 113
Monzo [4 -12 2 0 3⟩
Size in cents 3.121244¢
Names anthill comma,
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
Open this interval in xen-calc

532400/531441, the anthill comma, 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

Budjarn Lambeth named the "anthill comma" after PLoS Biol. 2014 Mar; 12(3): e1001805. (The Ecology of Collective Behavior by Deborah M. Gordon), a paper about ant colonies. This referenced the comma’s ratio: 532400 / 531441 = ~1.001805.

XA Discord user Neutraldown also proposed the name "tetracot schisma" for this comma, because it is in the schisma size range and is tempered out by tetracot temperament. This deliberately parallels the name of the tetracot kleisma.

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