93500/93499: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 93500/93499 | Color name = 37u19uu17o1ory<sup>3</sup>-3 <br> thisununusolorutriyo negative 3rd | Comma = yes }} '''93500/93499''' is a 37-limit superparticular comma of about 0.019 cents. It is the amount of a stack of two 19/10’s, 37/22 and 112/85 falling short of 8/1, as well as the a stack of 260/259 and 363/361 exceeding 429/425. == Temperaments == Tempering out this com..."
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 93500/93499
| Ratio = 93500/93499
| Name = pantinisma
| Color name = 37u19uu17o1ory<sup>3</sup>-3 <br> thisununusolorutriyo negative 3rd
| Color name = 37u19uu17o1ory<sup>3</sup>-3 <br> thisununusolorutriyo negative 3rd
| Comma = yes
| Comma = yes
}}
}}


'''93500/93499''' is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.019 [[cent]]s. It is the amount of a stack of two [[19/10]]’s, [[37/22]] and [[112/85]] falling short of [[8/1]], as well as the a stack of [[260/259]] and [[363/361]] exceeding [[429/425]].
'''93500/93499''' is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.019 [[cent]]s. It is the amount of a stack of two [[19/10]]s, [[37/22]] and [[112/85]] falling short of [[8/1]], as well as the a stack of [[260/259]] and [[363/361]] exceeding [[429/425]].


== Temperaments ==
== Temperaments ==
Tempering out this comma produces the rank-11 '''pantinismic''' temperament in the full 37-limit, and the rank-6 '''pantinic''' temperament in the 2.5.7.11.17.19.37 [[subgroup]], and enables the [[pantinismic chords]].
Tempering out this comma produces the rank-11 '''pantinismic''' temperament in the full 37-limit, and the rank-6 '''pantinic''' temperament in the 2.5.7.11.17.19.37 [[subgroup]]. It is useful for constructing higher-limit extensions of the temperaments [[didacus]] and [[zeus]].
 
It is useful for constructing higher-limit extensions of the temperaments [[didacus]] and [[zeus]].


== Proposed names ==
== Proposed names ==
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* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
[[Category:Pantinismic]]

Latest revision as of 08:07, 3 May 2025

Interval information
Ratio 93500/93499
Factorization 22 × 53 × 7-1 × 11 × 17 × 19-2 × 37-1
Monzo [2 0 3 -1 1 0 1 -2 0 0 0 -1
Size in cents 0.01851597¢
Name pantinisma
Color name 37u19uu17o1ory3-3
thisununusolorutriyo negative 3rd
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5,5,11,17}_{7,19,19,37} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 33.0253
Weil norm (log2 max(n, d)) 33.0254
Wilson norm (sopfr(nd)) 129
Comma size unnoticeable
Open this interval in xen-calc

93500/93499 is a 37-limit superparticular comma of about 0.019 cents. It is the amount of a stack of two 19/10s, 37/22 and 112/85 falling short of 8/1, as well as the a stack of 260/259 and 363/361 exceeding 429/425.

Temperaments

Tempering out this comma produces the rank-11 pantinismic temperament in the full 37-limit, and the rank-6 pantinic temperament in the 2.5.7.11.17.19.37 subgroup. It is useful for constructing higher-limit extensions of the temperaments didacus and zeus.

Proposed names

Francium proposed the name pantinisma, after the postal code of Pantin, France.

See also