3645/3584: Difference between revisions

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{{Infobox interval

| Name = ~~tritonic diesis~~{{idiosyncratic}}, schismean comma{{idiosyncratic}}

| Name = aberdiesis{{idiosyncratic}}, schismean comma{{idiosyncratic}}

| Color name = Lry-2, Laruyo negative 2nd

| Comma = yes

}}

The '''~~tritonic diesis~~'''{{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.

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]])3/([[7/5]]).

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== Etymology ==

The name ''schismean'' was given by [[User:Xenllium|Xenllium]] in 2022, most likely as a contraction of [[schism]] and [[meantone]]. The name ''~~tritonic diesis~~'' was given later in 2026 by the observation of [[User:~~Godtone~~|~~Godtone~~]] ~~that it fit~~ a ~~general algorithmic definition discussed in [[Diesis#Generalization]], combined~~ with the ~~observation that the ''septimal tritonic diesis'' of~~ (10/7)/(7/5) = [[50/49]] ~~seemed to suggest~~ the ~~existence of a ''tritonic diesis'' with a focus on the ''tritone'' part as contrasted to the ''septimal'' part~~, ~~hence the expression~~ of ~~it as the amount by which the "literal" tritone~~ [[~~729/512~~|~~(9/8)3~~]] ~~exceeds the LCJI tritone~~ [[~~7/5~~]].

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)3 = [[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]]

@@ Line 1: / Line 1: @@
 {{Infobox interval
-| Name = tritonic diesis{{idiosyncratic}}, schismean comma{{idiosyncratic}}
+| Name = aberdiesis{{idiosyncratic}}, schismean comma{{idiosyncratic}}
 | Color name = Lry-2, Laruyo negative 2nd
 | Comma = yes
 }}
-The '''tritonic diesis'''{{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.
+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]]).
@@ Line 15: / Line 15: @@
 == Etymology ==
-The name ''schismean'' was given by [[User:Xenllium|Xenllium]] in 2022, most likely as a contraction of [[schism]] and [[meantone]]. The name ''tritonic diesis'' was given later in 2026 by the observation of [[User:Godtone|Godtone]] that it fit a general algorithmic definition discussed in [[Diesis#Generalization]], combined with the observation that the ''septimal tritonic diesis'' of (10/7)/(7/5) = [[50/49]] seemed to suggest the existence of a ''tritonic diesis'' with a focus on the ''tritone'' part as contrasted to the ''septimal'' part, hence the expression of it as the amount by which the "literal" tritone [[729/512|(9/8)<sup>3</sup>]] exceeds the LCJI tritone [[7/5]].
+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]]