496/495

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Revision as of 09:13, 21 January 2025 by FilterNashi (talk | contribs)
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Interval information
Ratio 496/495
Subgroup monzo 2.3.5.11.31 [4 -2 -1 -1 1
Size in cents 3.493915¢
Name tricesimoprimal marvel
FJS name [math]\displaystyle{ \text{P1}^{31}_{5,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.9055
Weil height (log2 max(n, d)) 17.9084
Wilson height (sopfr(nd)) 61
Comma size unnoticeable
S-expression S31 × S32
Open this interval in xen-calc

496/495, the tricesimoprimal marvel comma is a 31-limit or 2.3.5.11.31-subgroup superparticular comma of about 3.494 cents. This size is barely make it unnoticeable; actually it's the largest superparticular comma smaller than 3.5 cents.

This comma is the difference between 45/16 and 31/11, or between 225/224 and 155/154, etc.

This is also a triangle-particular comma.

Temperaments

Tempering out this comma alone in the 2.3.5.31/11 subgroup leads to the Rank-3 tricesimoprimal marvel temperament. It's a Fractional subgroup.

Etymology

The name was proposed by FilterNashi in 2025. This comma shares some properties with 225/224, the marvel comma.

See also