6175/6174: Difference between revisions

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{{Infobox Interval

| Name = ~~neonewt comma, ~~neonewtisma

| Name = neonewtisma

| Color name = 19o3or3yy-2, nothotriru-ayoyo negative 2nd, Nothotriru-ayoyo comma

| Comma = yes

}}

'''6175/6174''', the '''neonewtisma~~''' or '''neonewt comma~~''', is a [[19-limit]] [[~~Superparticular ratio|~~superparticular comma]] of about 0.28 [[cent]]s. It is the amount by which a stack consisting of [[7/5]], [[9/5]], [[14/13]] and [[28/19]] falls short of two [[octave]]s. By tempering it out is defined the '''neonewtismic ~~temperament~~''', which enables the [[neonewtismic chords]].

'''6175/6174''', the '''neonewtisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.7.13.19-[[subgroup]]) [[superparticular]] [[comma]] of about 0.28 [[cent]]s. It is the amount by which a stack consisting of [[7/5]], [[9/5]], [[14/13]] and [[28/19]] falls short of two [[octave]]s. By tempering it out is defined the '''neonewtismic''' temperament, which enables the [[neonewtismic chords]].

== Commatic relations ==

This comma is the difference between the following superparticular pairs:

* [[190/189]] and [[196/195]]

* [[325/324]] and [[343/342]] *

* [[442/441]] and [[476/475]]

* [[1716/1715]] and [[2376/2375]]

* [[1729/1728]] and [[2401/2400]] *

* [[2080/2079]] and [[3136/3135]]

* [[2500/2499]] and [[4200/4199]]

* [[3025/3024]] and [[5929/5928]]

* [[3250/3249]] and [[6860/6859]] *

* [[4225/4224]] and [[13377/13376]]

* [[5776/5775]] and [[89376/89375]]

* [[5832/5831]] and [[104976/104975]]

* [[5985/5984]] and [[194481/194480]]

It factors into the following superparticular pairs:

* [[10830/10829]] and [[14365/14364]]

<nowiki/>* relation within the 2.3.5.7.13.19 subgroup

== Etymology ==

~~The names ''neonewtisma'' and ''neonewt~~ comma~~'' were~~ named by [[~~User:Xenllium|~~Xenllium]] in 2023~~. The rank-three temperament which tempers~~ out ~~2080/2079, 2401/2400 and 4096/4095 ([[Breed family|lif temperament]], 41&130&140) can be extended to~~ the 2.3.5.7.11.13.19 subgroup ~~by tempering out [[1216/1215]], [[1729/1728]], [[2926/2925]],~~ [[~~3136/3135~~]] ~~or 6175/6174~~, ~~and the rank-two 2~~.~~3.5~~.7.~~11.13.19 subgroup 41&270 temperament (''~~neonewt~~'') also supports it~~.

This comma was named by [[Xenllium]] in 2023, since it is one of the commas tempered out by the 2.3.5.7.11.13.19-subgroup version of [[newt]], a.k.a. neonewt.

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

[[Category:Neonewtismic]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = neonewt comma, <br>neonewtisma
+| Name = neonewtisma
 | Color name = 19o3or<sup>3</sup>yy-2, <br>nothotriru-ayoyo negative 2nd, <br>Nothotriru-ayoyo comma
 | Comma = yes
 }}
-'''6175/6174''', the '''neonewtisma''' or '''neonewt comma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 0.28 [[cent]]s. It is the amount by which a stack consisting of [[7/5]], [[9/5]], [[14/13]] and [[28/19]] falls short of two [[octave]]s. By tempering it out is defined the '''neonewtismic temperament''', which enables the [[neonewtismic chords]].
+'''6175/6174''', the '''neonewtisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.7.13.19-[[subgroup]]) [[superparticular]] [[comma]] of about 0.28 [[cent]]s. It is the amount by which a stack consisting of [[7/5]], [[9/5]], [[14/13]] and [[28/19]] falls short of two [[octave]]s. By tempering it out is defined the '''neonewtismic''' temperament, which enables the [[neonewtismic chords]].
+== Commatic relations ==
+This comma is the difference between the following superparticular pairs:
+* [[190/189]] and [[196/195]]
+* [[325/324]] and [[343/342]] *
+* [[442/441]] and [[476/475]]
+* [[1716/1715]] and [[2376/2375]]
+* [[1729/1728]] and [[2401/2400]] *
+* [[2080/2079]] and [[3136/3135]]
+* [[2500/2499]] and [[4200/4199]]
+* [[3025/3024]] and [[5929/5928]]
+* [[3250/3249]] and [[6860/6859]] *
+* [[4225/4224]] and [[13377/13376]]
+* [[5776/5775]] and [[89376/89375]]
+* [[5832/5831]] and [[104976/104975]]
+* [[5985/5984]] and [[194481/194480]]
+It factors into the following superparticular pairs:
+* [[10830/10829]] and [[14365/14364]]
+<nowiki/>* relation within the 2.3.5.7.13.19 subgroup
 == Etymology ==
-The names ''neonewtisma'' and ''neonewt comma'' were named by [[User:Xenllium|Xenllium]] in 2023. The rank-three temperament which tempers out 2080/2079, 2401/2400 and 4096/4095 ([[Breed family|lif temperament]], 41&amp;130&amp;140) can be extended to the 2.3.5.7.11.13.19 subgroup by tempering out [[1216/1215]], [[1729/1728]], [[2926/2925]], [[3136/3135]] or 6175/6174, and the rank-two 2.3.5.7.11.13.19 subgroup 41&amp;270 temperament (''neonewt'') also supports it.
+This comma was named by [[Xenllium]] in 2023, since it is one of the commas tempered out by the 2.3.5.7.11.13.19-subgroup version of [[newt]], a.k.a. neonewt.
 == See also ==
-* [[Unnoticeable comma]]
 * [[List of superparticular intervals]]
 [[Category:Neonewtismic]]
+[[Category:Commas named for their regular temperament properties]]