364/363: Difference between revisions

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The '''gentle comma''', '''364/363''', is a [[13-limit]] no-5 [[comma]] measuring about 4.8 cents. 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]]. Tempering it out leads to the rank-five gentle temperament.  
The '''gentle comma''', '''364/363''', is a [[13-limit]] no-5 [[comma]] measuring about 4.8 cents. 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]].  
 
== Temperaments ==
Tempering out the gentle comma leads to a form of '''gentle temperament''' and enables [[gentle chords]].  


== See also ==
== See also ==
* [[Gentle chords]]
* [[Gentle chords]]
* [[Comma]]
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]



Revision as of 11:31, 10 April 2021

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 tholuluzo comma
FJS name [math]\displaystyle{ \text{m2}^{7,13}_{121} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 17.0116
Weil norm (log2 max(n, d)) 17.0156
Wilson norm (sopfr(nd)) 49
Open this interval in xen-calc

The gentle comma, 364/363, is a 13-limit no-5 comma measuring about 4.8 cents. 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.

Temperaments

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

See also