Jove: Difference between revisions

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-See [[Breed_family#Jove, aka Wonder|Jove]] and [[Breed_family#Jove, aka Wonder-Jovis|Jovis]]
+{{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]].
-Gencom: [2 11/9 10/7; 243/242 441/440 351/350]
+It can be extended to the [[13-limit]] as jovial (41 & 58 & 72), jovis (31 & 58 & 72), or jofur (31 & 41 & 58).
-Gencom Mapping[&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;0 0 2 1 0 5|]
+See [[Breed family #Jove]] for technical data.
-=Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11=
+== Interval lattice ==
+<gallery>
+File:Lattice_Jove.png|11-limit jove
+</gallery>
-{| class="wikitable"
+== Chords and harmony ==
+Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]].
+== Scales ==
+{{Main|Jove scales}}
+== Tunings ==
+=== Tuning spectrum ===
+This table assumes the jovis mapping with pure 2 and 11.
+{| class="wikitable center-1 center-2"
 |-
-! | Eigenmonzo
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
-! | 5/4
+! Major third (¢)
+! Comments
 |-
-| | 9/7
+| 9/7
-| | 381.677
+| 381.677
+|
 |-
-| | 10/9
+| 10/9
-| | 383.458 (11 limit minimax)
+| 383.458
+| 11-odd-limit minimax
 |-
-| | 7/6
+| 7/6
-| | 384.533
+| 384.533
+|
 |-
-| | 6/5
+| 6/5
-| | 384.886
+| 384.886
+|
 |-
-| | 7/5
+| 7/5
-| | 385.239
+| 385.239
+|
 |-
-| | 18/13
+| 18/13
-| | 385.649 (13 and 15 limit jovis minimax)
+| 385.649
+| 13- and 15-odd-limit jovis minimax
 |-
-| | 15/13
+| 15/13
-| | 386.157
+| 386.157
+|
 |-
-| | 13/12
+| 13/12
-| | 386.220
+| 386.220
+|
 |-
-| | 5/4
+| 5/4
-| | 386.314
+| 386.314
+|
 |-
-| | 14/13
+| 14/13
-| | 386.642
+| 386.642
+|
 |-
-| | 16/13
+| 16/13
-| | 386.791
+| 386.791
+|
 |-
-| | 13/10
+| 13/10
-| | 387.109
+| 387.109
+|
 |-
-| | 8/7
+| 8/7
-| | 387.388
+| 387.388
+|
 |-
-| | 16/15
+| 16/15
-| | 387.742
+| 387.742
+|
 |-
-| | 15/14
+| 15/14
-| | 388.095
+| 388.095
+|
 |}
+== Music ==
+; [[Chris Vaisvil]]
+* [https://web.archive.org/web/20201127014311/http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 ''By Jove!''] in [[jove41]]
+[[Category:Jove| ]] <!-- main article -->
+[[Category:Rank-3 temperaments]]
+[[Category:Breed family]]
+[[Category:Rastmic rank-3 clan]]
+[[Category:Werckismic temperaments]]
+[[Category:Swetismic temperaments]]
+[[Category:Listen]]