1540/1539: Difference between revisions

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-'''1540/1539''', the '''kevolisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 1.12 [[cent]]s. It is the amount by which a stack consisting of [[6/5]], [[9/7]], [[12/11]] and [[19/16]] falls short of an [[octave]]. By tempering it out is defined the '''kevolismic temperament''', which enables the [[kevolismic chords]].
+'''1540/1539''', the '''kevolisma''', is a [[19-limit]] (also 2.3.5.7.11.19-[[subgroup]]) [[superparticular]] [[comma]] of about 1.12 [[cent]]s. It is the amount by which a stack consisting of [[6/5]], [[9/7]], [[12/11]] and [[19/16]] falls short of an [[octave]]. By tempering it out is defined the '''kevolismic temperament''', which enables the [[kevolismic chords]].
+== Commatic relations ==
+This comma is the difference between the following superparticular pairs:
+* [[55/54]] and [[57/56]] *
+* [[77/76]] and [[81/80]] *
+* [[154/153]] and [[171/170]]
+* [[210/209]] and [[243/242]] *
+* [[286/285]] and [[351/350]]
+* [[343/342]] and [[441/440]] *
+* [[352/351]] and [[456/455]]
+* [[385/384]] and [[513/512]] *
+* [[400/399]] and [[540/539]] *
+* [[495/494]] and [[729/728]]
+* [[595/594]] and [[969/968]]
+* [[1216/1215]] and [[5776/5775]] *
+* [[1225/1224]] and [[5985/5984]]
+* [[1331/1330]] and [[9801/9800]] *
+* [[1445/1444]] and [[23409/23408]]
+* [[1521/1520]] and [[123201/123200]]
+It factors into the following superparticular pairs:
+* [[3025/3024]] and [[3136/3135]] *
+* [[2926/2925]] and [[3250/3249]]
+* [[2431/2430]] and [[4200/4199]]
+* [[2376/2375]] and [[4375/4374]] *
+* [[2080/2079]] and [[5929/5928]]
+* [[1729/1728]] and [[14080/14079]]
+<nowiki/>* relation within the 2.3.5.7.11.19 subgroup
 == Etymology ==