1540/1539: Difference between revisions

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| Comma = yes

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'''1540/1539''', the '''kevolisma''', is an [[unnoticeable comma|unnoticeable]] [[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~~]].

'''1540/1539''', the '''kevolisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (specifically 2.3.5.7.11.19-[[subgroup]]) [[superparticular]] [[comma]] of about 1.12 [[cent]]s. It is the amount by which [[140/81]], a stack consisting of [[10/9]] and [[14/9]], exceeds [[19/11]]. It is also the amount by which a stack consisting of [[10/9]] and [[11/9]] exceeds [[19/14]], and by which a stack consisting of [[14/9]] and [[11/9]] exceeds [[19/10]].

== Commatic relations ==

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* [[1445/1444]] and [[23409/23408]]

* [[1521/1520]] and [[123201/123200]]

Or as a relation in the four formal commas defined by [[Functional Just System]] and [[Helmholtz–Ellis notation]]:

* ([[33/32]]) / ((81/80)([[64/63]])(513/512)).

It factors into the following superparticular pairs:

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* [[1729/1728]] and [[14080/14079]]

<nowiki/>* relation within the 2.3.5.7.11.19 subgroup

== Temperaments ==

By tempering it out is defined the '''kevolismic temperament''', which enables the [[kevolismic chords]].

== Etymology ==

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 | Comma = yes
 }}
-'''1540/1539''', the '''kevolisma''', is an [[unnoticeable comma|unnoticeable]] [[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]].
+'''1540/1539''', the '''kevolisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (specifically 2.3.5.7.11.19-[[subgroup]]) [[superparticular]] [[comma]] of about 1.12 [[cent]]s. It is the amount by which [[140/81]], a stack consisting of [[10/9]] and [[14/9]], exceeds [[19/11]]. It is also the amount by which a stack consisting of [[10/9]] and [[11/9]] exceeds [[19/14]], and by which a stack consisting of [[14/9]] and [[11/9]] exceeds [[19/10]].
 == Commatic relations ==
@@ Line 24: / Line 24: @@
 * [[1445/1444]] and [[23409/23408]]
 * [[1521/1520]] and [[123201/123200]]
+Or as a relation in the four formal commas defined by [[Functional Just System]] and [[Helmholtz–Ellis notation]]:
+* ([[33/32]]) / ((81/80)([[64/63]])(513/512)).
 It factors into the following superparticular pairs:
@@ Line 33: / Line 36: @@
 * [[1729/1728]] and [[14080/14079]]
 <nowiki/>* relation within the 2.3.5.7.11.19 subgroup
+== Temperaments ==
+By tempering it out is defined the '''kevolismic temperament''', which enables the [[kevolismic chords]].
 == Etymology ==