5909761/5909760: Difference between revisions

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Birth
 
Eufalesio (talk | contribs)
Corrected color name - not that it matters too much this comma is bonkers
 
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{{Infobox Interval|Name=insanosevensma|Color name=nusosothotholologuma, 19u17oo3oo1oogM|Comma=yes}}5909761/5909760, the '''insanosevensma''', is a [[19-limit]] comma, one of the smallest 19-limit [[Comma|commas]] and the smallest 19-limit [[square-particular]].
{{Infobox Interval
| Name = insanosevensma
| Color name = nubisotholo-aguma, 19u17oo3oo1oogM
| Comma = yes
}}
5909761/5909760, the '''insanosevensma''', is a [[19-limit]] comma, one of the smallest 19-limit [[comma]]s and the smallest 19-limit [[square-particular]].


It has several [[S-expression|S-expressions]], the simplest one being S2431, which makes the difference between [[2431/2430]] and [[2432/2431]]; and in the 19-add-41 limit, S286/S288, a semiparticular splitting [[289/285]] into two ~[[144/143]] halves.
It has several [[S-expression]]s, the simplest one being S2431, which makes the difference between [[2431/2430]] and [[2432/2431]]; and in the 19-add-41 limit, S286/S288, a semiparticular splitting [[289/285]] into two ~[[144/143]] halves.


== Temperaments ==
== Temperaments ==
It is trivially tempered out in no-7 19-limit [[laka]] and [[cassaschismic]] as both 2431/2430 and 2432/2431 are tempered out. It is also one of the defining [[S-comma|S-commas]] of [[insatinismic]], including the [[insanisma]] and [[insanineteensma]].
This comma is trivially tempered out in [[cassaschismic]] as both 2431/2430 and 2432/2431 are tempered out. It is also one of the defining [[S-comma]]s of [[insatinismic]], including the [[insanisma]] and [[insanineteensma]].

Latest revision as of 10:31, 5 August 2026

Interval information
Ratio 5909761/5909760
Factorization 2-8 × 3-5 × 5-1 × 112 × 132 × 172 × 19-1
Monzo [-8 -5 -1 0 2 2 2 -1⟩
Size in cents 0.0002929449 ¢
Name insanosevensma
Color name nubisotholo-aguma, 19u17oo3oo1oogM
FJS name [math]\displaystyle{ \text{ddd2}^{11,11,13,13,17,17}_{5,19} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 44.9893
Weil norm (log2 max(n, d)) 44.9893
Wilson norm (sopfr(nd)) 137
Comma size unnoticeable
S-expression S286/S288
Open this interval in xen-calc

5909761/5909760, the insanosevensma, is a 19-limit comma, one of the smallest 19-limit commas and the smallest 19-limit square-particular.

It has several S-expressions, the simplest one being S2431, which makes the difference between 2431/2430 and 2432/2431; and in the 19-add-41 limit, S286/S288, a semiparticular splitting 289/285 into two ~144/143 halves.

Temperaments

This comma is trivially tempered out in cassaschismic as both 2431/2430 and 2432/2431 are tempered out. It is also one of the defining S-commas of insatinismic, including the insanisma and insanineteensma.