93500/93499

Revision as of 20:55, 15 April 2025 by Francium (talk | contribs) (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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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.

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(s) missing ? 
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

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.

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