496/495: Difference between revisions

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'''496/495''' is a [[31-limit]] or 2.3.5.11.31-subgroup [[Superparticular comma|superparticular]] comma of about 3.494 [[cent]]s. This size barely make it an [[Unnoticeable comma|unnoticeable comma]]; actually it's the largest superparticular comma smaller than 3.5 cents.
'''496/495''', the '''navatonisma''', is a [[31-limit]] or 2.3.5.11.31-subgroup [[Superparticular comma|superparticular]] comma of about 3.494 [[cent]]s. This size barely make it an [[Unnoticeable comma|unnoticeable comma]]; actually it's the largest superparticular comma smaller than 3.5 cents.


This comma is the difference between [[45/16]] and [[31/11]], between [[31/30]] and [[33/32]], between [[33/31]] and [[16/15]] or between [[225/224]] and [[155/154]], etc.
This comma is the difference between two [[Navatone|navatones]]: [[45/16]] and [[31/11]]. It's also the difference between [[31/30]] and [[33/32]], between [[33/31]] and [[16/15]], or between [[225/224]] and [[155/154]], etc.


This is also a [[triangle-particular]] comma.
This is also a [[triangle-particular]] comma.
== Etymology ==
The navatonisma was named by [[User:FilterNashi|FilterNashi]] in 2025.


==See also==
==See also==

Revision as of 11:27, 23 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(s) missing ? 
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 navatonisma, is a 31-limit or 2.3.5.11.31-subgroup superparticular comma of about 3.494 cents. This size barely make it an unnoticeable comma; actually it's the largest superparticular comma smaller than 3.5 cents.

This comma is the difference between two navatones: 45/16 and 31/11. It's also the difference between 31/30 and 33/32, between 33/31 and 16/15, or between 225/224 and 155/154, etc.

This is also a triangle-particular comma.

Etymology

The navatonisma was named by FilterNashi in 2025.

See also