6175/6174: Difference between revisions

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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 with unknown etymology]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 14:36, 11 April 2026

Interval information
Ratio 6175/6174
Factorization 2-1 × 3-2 × 52 × 7-3 × 13 × 19
Monzo [-1 -2 2 -3 0 1 0 1⟩
Size in cents 0.2803845¢
Name neonewtisma
Color name 19o3or3yy-2,
nothotriru-ayoyo negative 2nd,
Nothotriru-ayoyo comma
FJS name [math]\displaystyle{ \text{m}{-2}^{5,5,13,19}_{7,7,7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 25.1842
Weil norm (log2 max(n, d)) 25.1844
Wilson norm (sopfr(nd)) 71
Comma size unnoticeable
Open this interval in xen-calc

6175/6174, the neonewtisma, is an unnoticeable 19-limit (also 2.3.5.7.13.19-subgroup) superparticular comma of about 0.28 cents. It is the amount by which a stack consisting of 7/5, 9/5, 14/13 and 28/19 falls short of two octaves. 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:

It factors into the following superparticular pairs:

* relation within the 2.3.5.7.13.19 subgroup

Etymology

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

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