496/495: Difference between revisions

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'''496/495''', the '''tricesimoprimal marvel comma''' is a [[31-limit]] or 2.3.5.11.31-subgroup comma of about 3.494 [[cent]]s. This size is barely make it [[Unnoticeable comma|unnoticeable]].
'''496/495''', the '''tricesimoprimal marvel comma''' is a [[31-limit]] or 2.3.5.11.31-subgroup [[Superparticular comma|superparticular]] comma of about 3.494 [[cent]]s. This size is barely make it [[Unnoticeable comma|unnoticeable]].


This comma is the difference between [[45/16]] and [[31/11]], etc.
This comma is the difference between [[45/16]] and [[31/11]], etc.
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*[[225/224|Marvel comma]]
*[[225/224|Marvel comma]]
*[[Triangle-particular]]
*[[Triangle-particular]]
*[[Superparticular comma]]
*[[Just intonation subgroup]]
*[[Just intonation subgroup]]

Revision as of 08:49, 21 January 2025

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.

This comma is the difference between 45/16 and 31/11, 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