Amity comma: Difference between revisions

| Name = amity comma

The '''amity comma''' or '''amiton''' ({{monzo| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9|minor whole tones (10/9)]] exceed the [[27/16|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)⁵), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)³).  

The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group | ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group | ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. The name ''amiton'' was suggested by Vector/Leriendil by analogy with [[graviton]] (as both amity and gravity are on the syntonic-chromatic equivalence continuum).