3645/3584: Difference between revisions
m add etymology section, propose alternate name that feels less awkward than current name, link, note connection to septimal meantone |
m this seems like an acceptable fix |
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{{Infobox interval | {{Infobox interval | ||
| Name = | | Name = aberdiesis{{idiosyncratic}}, schismean comma{{idiosyncratic}} | ||
| Color name = Lry-2, Laruyo negative 2nd | | Color name = Lry-2, Laruyo negative 2nd | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The ''' | The '''aberdiesis'''{{idiosyncratic}} or '''schismean comma'''{{idiosyncratic}} ([[monzo]]: {{monzo|-9 6 1 -1}}, [[ratio]]: 3645/3584) is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 29.2 [[cent]]s. | ||
It is the difference between three major whole tones and a small septimal tritone, or in other words, ([[9/8]])<sup>3</sup>/([[7/5]]). | It is the difference between three major whole tones and a small septimal tritone, or in other words, ([[9/8]])<sup>3</sup>/([[7/5]]). | ||
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== Etymology == | == Etymology == | ||
The name ''schismean'' was given by [[User:Xenllium|Xenllium]] in 2022, most likely as a contraction of [[schism]] and [[meantone]]. The name '' | The name ''schismean'' was given by [[User:Xenllium|Xenllium]] in 2022, most likely as a contraction of [[schism]] and [[meantone]]. The name ''aberdiesis'' was given later in 2026 by the observation of [[User:FloraC|Fumica]] to observe a pun with the closely-related comma (10/7)/(9/8)<sup>3</sup> = [[64/63|S8]]/[[81/80|S9]] = [[5120/5103]], the aberschisma, in light of [[User:Godtone|Godtone]]'s observation that it behaves in almost all ways like a diesis according to a specific intuitively-motivated definition discussed in [[Diesis#Generalization]]. | ||
[[Category:Commas named by combining multiple temperament names]] | [[Category:Commas named by combining multiple temperament names]] | ||
Revision as of 21:55, 28 July 2026
| Interval information |
schismean comma[idiosyncratic term]
The aberdiesis[idiosyncratic term] or schismean comma[idiosyncratic term] (monzo: [-9 6 1 -1⟩, ratio: 3645/3584) is a small 7-limit comma measuring about 29.2 cents.
It is the difference between three major whole tones and a small septimal tritone, or in other words, (9/8)3/(7/5).
Temperaments
It is most notably and characteristically tempered out in septimal meantone, where 7/5 is an augmented fourth, as the flat fifth of meantone helps motivate this equivalence.
Tempering out this comma leads to the rank-3 schismean temperament. Other rank-2 temperaments which temper out this comma include schism and pycnic.
Etymology
The name schismean was given by Xenllium in 2022, most likely as a contraction of schism and meantone. The name aberdiesis was given later in 2026 by the observation of Fumica to observe a pun with the closely-related comma (10/7)/(9/8)3 = S8/S9 = 5120/5103, the aberschisma, in light of Godtone's observation that it behaves in almost all ways like a diesis according to a specific intuitively-motivated definition discussed in Diesis#Generalization.