364/363: Difference between revisions

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It factors into the following superparticular pairs:  
It factors into the following superparticular pairs:  
* ([[385/384]])([[6656/6655]])
* [[385/384]] and [[6656/6655]]
* ([[441/440]])([[2080/2079]])
* [[441/440]] and [[2080/2079]]


Not to mention some nonsuperparticular but useful relations:  
Not to mention some nonsuperparticular but useful relations:  
* ([[676/675]])([[1575/1573]])
* [[676/675]] and [[1575/1573]]


== Temperaments ==
== Temperaments ==

Revision as of 08:37, 15 January 2023

Interval information
Ratio 364/363
Factorization 22 × 3-1 × 7 × 11-2 × 13
Monzo [2 -1 0 1 -2 1
Size in cents 4.762683¢
Name gentle comma
Color name 3o1uuz2, tholuluzo 2nd,
Tholuluzo comma
FJS name [math]\displaystyle{ \text{m2}^{7,13}_{11,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.0116
Weil height (log2 max(n, d)) 17.0156
Wilson height (sopfr(nd)) 49
Comma size small
Open this interval in xen-calc

364/363, the gentle comma, is a 13-limit no-5 small comma measuring about 4.8 ¢. It is the amount by which an undecimal major third 14/11 and a tridecimal minor third 13/11 exceed a just perfect fifth 3/2.

Commatic relations

In terms of commas, it is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:

Temperaments

Tempering out the gentle comma leads to a form of gentle temperament and enables gentle chords.

See also