Immunity comma: Difference between revisions
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The '''immunity comma''' ({{monzo|legend=1| 16 -13 2 }}, [[ratio]]: 1638400/1594323) is a [[Medium comma|medium]] [[5-limit]] [[comma]] of about 47.2 [[cent]]s. It is the difference between | The '''immunity comma''' ({{monzo|legend=1| 16 -13 2 }}, [[ratio]]: 1638400/1594323) is a [[Medium comma|medium]] [[5-limit]] [[comma]] of about 47.2 [[cent]]s. It is the difference between the [[256/243|Pythagorean diatonic semitone (256/243)]] and a stack of two [[syntonic comma]]s, or between a [[25/24|diptolemaic chromatic semitone (25/24)]] and a [[Pythagorean comma|Pythagorean comma (monzo: [-19 12⟩, ratio: 531441/524288)]]. | ||
== Temperaments == | == Temperaments == | ||
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This comma was named by [[Mike Battaglia]] in 2011 such that the corresponding temperament is paired with [[amity]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99315.html#99323 Yahoo! Tuning Group| ''Some new 5-limit microtemperaments'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99763.html#99794 Yahoo! Tuning Group| ''Names for forgotten or unclassified temperaments'']</ref>. | This comma was named by [[Mike Battaglia]] in 2011 such that the corresponding temperament is paired with [[amity]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99315.html#99323 Yahoo! Tuning Group| ''Some new 5-limit microtemperaments'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99763.html#99794 Yahoo! Tuning Group| ''Names for forgotten or unclassified temperaments'']</ref>. | ||
<blockquote>Perhaps "Immunity," because it's a counterpart to Amity or something like that. </blockquote> | |||
—Mike Battaglia | |||
== See also == | == See also == | ||
Revision as of 18:36, 21 September 2024
| Interval information |
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 (monzo: [-19 12⟩, ratio: 531441/524288).
Temperaments
Tempering out this comma leads to the immunity family of temperaments. These temperaments offer hemifourths and hemitwelfths as a result of dividing the diatonic semitone in equal halves.
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