Immunity comma: Difference between revisions

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== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma leads to the [[immunity family]] of temperaments. These temperaments offer [[interseptimal interval|hemifourths and hemitwelfths]] as a result of dividing the diatonic semitone in equal halves.  
[[Tempering out]] this comma leads to the [[immunity]] temperament, which offers [[interseptimal interval|hemifourths and hemitwelfths]] as a result of dividing the diatonic semitone in equal halves.
 
See [[Immunity family]] for the [[family of temperaments]] where it is tempered out.  


== Etymology ==
== Etymology ==
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== See also ==
== See also ==
* [[Syntonic-diatonic equivalence continuum]]
* [[Syntonic–limmic equivalence continuum]]
* [[Diaschismic–gothmic equivalence continuum]]


== Notes ==
== References ==


[[Category:Immunity]]
[[Category:Immunity]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 03:33, 27 August 2026

Interval information
Ratio 1638400/1594323
Factorization 216 × 3-13 × 52
Monzo [16 -13 2
Size in cents 47.21242 ¢
Name immunity comma
Color name ssyy2, Sasa-yoyo comma
FJS name [math]\displaystyle{ \text{m2}^{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 41.2484
Weil norm (log2 max(n, d)) 41.2877
Wilson norm (sopfr(nd)) 81
Comma size medium
Open this interval in xen-calc

The immunity comma (monzo[16 -13 2, ratio: 1638400/1594323) is a medium 5-limit comma of about 47.2 cents. It is the difference between the Pythagorean diatonic semitone (256/243) and a stack of two syntonic commas, or between a diptolemaic chromatic semitone (25/24) and a Pythagorean comma.

Temperaments

Tempering out this comma leads to the immunity temperament, which offers hemifourths and hemitwelfths as a result of dividing the diatonic semitone in equal halves.

See Immunity family for the family of temperaments where it is tempered out.

Etymology

This comma was named by Mike Battaglia in 2011 such that the corresponding temperament is paired with amity[1][2].

Perhaps "Immunity," because it's a counterpart to Amity or something like that.

—Mike Battaglia

See also

References