Anthill comma: Difference between revisions

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BudjarnLambeth (talk | contribs)
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BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
Renamed; see Discord
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{{Infobox Interval
{{Infobox Interval
| Ratio = 532400/531441
| Ratio = 532400/531441
| Name = Anthill comma
| Name = 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
}}
}}


'''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]].
'''532400/531441''', the '''tetracot schisma''', 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 ==
== Etymology ==
532400 / 531441 = ~1.001805. The comma is named after [https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3949665/ PLoS Biol. 2014 Mar; 12(3): e1001805.], which is the paper ''The Ecology of Collective Behavior'' by Deborah M. Gordon. The paper discusses the emergent top-down and bottom-up behaviour of systems containing a number of individual organisms, and extensively discusses how the behaviour of the ant emerges from the anthill, yet the behaviour of the anthill emerges from the ant, in a kind of self-sustaining loop.
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]].


After [[Budjarn Lambeth]] coined this name, the name was called out on the XA Discord for its convoluted etymology. Many people in the Discord suggested that names like these which convey no information about a comma’s properties are more hindrance than help to musicians and theorists, and that commas would be better off being referred to by just their [[ratio]] or [[monzo]] instead of by such confusing names. In response to the criticism, Lambeth decided to retract almost all of his comma names, including this one, due to their arbitrary and confusing nature. However, one Discord user remarked that there was actually something oddly fitting about “anthill” for this comma, and that it would be a shame to see this name go. So, the other commas' names were retracted, but “anthill comma” was kept.
Previously it was named "anthill comma" after [https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3949665/ 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.


[[Category:Commas named for other reasons]]
[[Category:Commas named for other reasons]]

Revision as of 21:23, 14 April 2025

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
Open this interval in xen-calc

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.

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