Jove: Difference between revisions

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-The rank-3 '''jove''' temperament 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.
+{{Infobox regtemp
+| Title = Jove
+| Subgroups = 2.3.5.7.11
+| Comma basis = [[243/242]], [[441/440]] (11-limit)
+| Edo join 1 = 31 | Edo join 2 = 41 | Edo join 3 = 58
+| Mapping = 1; 2 1 1 5; 0 2 1 0
+| Generators = 11/9, 10/7
+| Generators tuning = 350.5, 617.9
+| Optimization method = CWE
+| Pergen = (P8, P5/2, c^^M7/4)
+| Color name = Bizozoguti
+| Odd limit 1 = 9 | Mistuning 1 = 0.18 | Complexity 1 = ?
+| Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.86 | Complexity 2 = ?
+}}
+'''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]].
-See [[Breed family #Jove]] for more technical data.
+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.
 == Interval lattice ==
-[[File:Lattice_Jove.png]]
+<gallery>
+File:Lattice_Jove.png|11-limit jove
+</gallery>
-== Chords ==
+== Chords and harmony ==
-{{main| Jove chords }}
+Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]].
 == Scales ==
-; Hobbit scales
+{{Main|Jove scales}}
-* [[Jove41]] – 41-tone [[hobbit]] scale in 243edo
-; Others
-* [[Jove1]]
-* [[Jove2]]
-* [[Jove3]]
-* [[Jove4]]
-* [[Jove5]]
-* [[Jove6]]
-== Tuning spectrum ==
-This table assumes pure 2 and 11.
-Gencom: [2 11/9 10/7; 243/242 441/440 351/350]
-Gencom Mapping: [{{val| 1 1 1 2 2 2 }}, {{val| 0 2 1 1 5 -3 }}, {{val| 0 0 2 1 0 5 }}]
+== Tunings ==
+=== Tuning spectrum ===
+This table assumes the jovis mapping with pure 2 and 11.
-{| class="wikitable center-all"
+{| class="wikitable center-1 center-2"
 |-
-! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
-! major<br>third (¢)
+! Major third (¢)
-! comments
+! Comments
 |-
 | 9/7
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 == Music ==
-* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41]] by [[Chris Vaisvil]]
+; [[Chris Vaisvil]]
+* [https://web.archive.org/web/20201127014311/http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 ''By Jove!''] in [[jove41]]
-[[Category:Temperaments]]
 [[Category:Jove| ]] <!-- main article -->
+[[Category:Rank-3 temperaments]]
 [[Category:Breed family]]
 [[Category:Rastmic rank-3 clan]]