6175/6174: Difference between revisions

Line 4:

| 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''' or '''neonewt comma''', 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 ==

Line 10:

Line 31:

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

[[Category:Neonewtismic]]

@@ Line 4: / Line 4: @@
 | 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''' or '''neonewt comma''', 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 ==
@@ Line 10: / Line 31: @@
 == See also ==
-* [[Unnoticeable comma]]
 * [[List of superparticular intervals]]
 [[Category:Neonewtismic]]