Jove: Difference between revisions

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

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~~The~~ [[~~Rank~~-3 temperament|rank-3]] ~~'''jove'''~~ [[temperament]] [[~~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}}~~

~~__TOC__~~

~~{{Clear}}~~

== Interval lattice ==

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</gallery>

== Chords ==

== Chords and harmony ==

Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]].

== Scales ==

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

~~== Tuning spectrum ==~~

~~This table assumes pure 2 and 11.~~

~~Gencom: [2 11/9 10/7; 243/242 441/440 351/350]~~

~~Gencom~~ mapping~~: {{mapping| 1 1 1 2 2 2 | 0 2 1 1 5 -3 | 0 0~~ 2 ~~1 0 5 }}~~

== Tunings ==

=== Tuning spectrum ===

This table assumes the jovis mapping with pure 2 and 11.

{| class="wikitable center-1 center-2"

|-

! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]

! Major~~<br>Third~~ (¢)

! Major third (¢)

! Comments

|-

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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:Jove| ]]

@@ Line 13: / Line 13: @@
 | Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.86 | Complexity 2 = ?
 }}
-The [[Rank-3 temperament|rank-3]] '''jove''' [[temperament]] [[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}}
-__TOC__
-{{Clear}}
 == Interval lattice ==
 <gallery>
@@ Line 24: / Line 24: @@
 </gallery>
-== Chords ==
+== Chords and harmony ==
 Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]].
 == Scales ==
-See [[Jove scales]].
+{{Main|Jove scales}}
-== Tuning spectrum ==
-This table assumes pure 2 and 11.
-Gencom: [2 11/9 10/7; 243/242 441/440 351/350]
-Gencom mapping: {{mapping| 1 1 1 2 2 2 | 0 2 1 1 5 -3 | 0 0 2 1 0 5 }}
+== Tunings ==
+=== Tuning spectrum ===
+This table assumes the jovis mapping with pure 2 and 11.
 {| class="wikitable center-1 center-2"
 |-
 ! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
-! Major<br>Third (¢)
+! Major third (¢)
 ! Comments
 |-
@@ Line 105: / Line 102: @@
 == 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:Jove| ]] <!-- main article -->