93500/93499

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 height (log2 nd)	33.0253
Weil height (log2 max(n, d))	33.0254
Wilson height (sopfr(nd))	129
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19982 bits
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

• Unnoticeable comma
• List of superparticular intervals