6175/6174: Difference between revisions

+commatic relations
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{{Infobox Interval
{{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
| Color name = 19o3or<sup>3</sup>yy-2, <br>nothotriru-ayoyo negative 2nd, <br>Nothotriru-ayoyo comma
| Comma = yes
| Comma = yes
}}
}}
'''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]].
'''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 ==
== Commatic relations ==
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== Etymology ==
== 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 (''[[Breedsmic temperaments #Newt|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 ==
== See also ==
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[[Category:Neonewtismic]]
[[Category:Neonewtismic]]
[[Category:Commas named for their regular temperament properties]]