496/495
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.31147 bits
Comma size
unnoticeable
S-expression
S31 × S32
open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.