Jove: Difference between revisions

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| Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.86 | Complexity 2 = ?

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'''Jove''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] ~~that~~ [[~~tempering out~~|~~tempers out~~]] ~~the breedsma~~, [[~~2401~~/~~2400~~]], in the ~~7-limit~~, the ~~rastma~~, [[243/242]]~~, the werckisma~~, [[441/440]], and ~~the swetisma,~~ [[540/539]], in the 11-limit.

'''Jove''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] of the [[breed family]]. Like [[breed (temperament)|breed]], it is generated by a neutral third of [[49/40]][[~]][[60/49]], two of which give a [[3/2|perfect fifth]], and a tritone of [[10/7]], two of which give a generic septimal diesis of [[49/48]]~[[50/49]], such that [[5/4]] and [[7/4]] are found by the septimal diesis plus the neutral third and the tritone plus the neutral third, respectively. Jove further identifies the neutral third as [[11/9]]~[[27/22]], [[tempering out]] [[243/242]], [[441/440]], and [[540/539]], for less accuracy but a compact lattice structure in the [[11-limit]].

It can be extended to the [[13-limit]] as jovial (41 & 58 & 72), jovis (31 & 58 & 72), or jofur (31 & 41 & 58).

See [[Breed family #Jove]] for technical data.

~~See [[Breed family #Jove]] for more technical data.~~

~~{{Todo|improve synopsis}}~~

~~{{Clear}}~~

== Interval lattice ==

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== Scales ==

~~See [[~~Jove scales~~]].~~

== Tunings ==

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 | Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.86 | Complexity 2 = ?
 }}
-'''Jove''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] that [[tempering out|tempers out]] the breedsma, [[2401/2400]], in the 7-limit, the rastma, [[243/242]], the werckisma, [[441/440]], and the swetisma, [[540/539]], in the 11-limit.
+'''Jove''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] of the [[breed family]]. Like [[breed (temperament)|breed]], it is generated by a neutral third of [[49/40]][[~]][[60/49]], two of which give a [[3/2|perfect fifth]], and a tritone of [[10/7]], two of which give a generic septimal diesis of [[49/48]]~[[50/49]], such that [[5/4]] and [[7/4]] are found by the septimal diesis plus the neutral third and the tritone plus the neutral third, respectively. Jove further identifies the neutral third as [[11/9]]~[[27/22]], [[tempering out]] [[243/242]], [[441/440]], and [[540/539]], for less accuracy but a compact lattice structure in the [[11-limit]].
+It can be extended to the [[13-limit]] as jovial (41 & 58 & 72), jovis (31 & 58 & 72), or jofur (31 & 41 & 58).
+See [[Breed family #Jove]] for technical data.
-See [[Breed family #Jove]] for more technical data.
-{{Todo|improve synopsis}}
-{{Clear}}
 == Interval lattice ==
 <gallery>
@@ Line 27: / Line 28: @@
 == Scales ==
-See [[Jove scales]].
+{{Main|Jove scales}}
 == Tunings ==