Jove - Revision history

FloraC: Text replacement - "rank-3 temperament" to "rank-3 temperament"

2026-06-08T08:36:25Z

Text replacement - "rank-3 temperament" to "rank-3 temperament"

← Older revision		Revision as of 08:36, 8 June 2026
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	\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 2.86 \| Complexity 2 = ?		\| 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]].		'''Jove''' is a [[rank-3 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).		It can be extended to the [[13-limit]] as jovial (41 & 58 & 72), jovis (31 & 58 & 72), or jofur (31 & 41 & 58).

FloraC: Expand

2026-02-11T11:50:22Z

Expand

← Older revision		Revision as of 11:50, 11 February 2026
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	\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 2.86 \| Complexity 2 = ?		\| 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 ==		== Interval lattice ==
	<gallery>		<gallery>

Overthink: /* Scales */ use {{Main}}

2026-02-10T22:37:39Z

Scales: use {{Main}}

← Older revision		Revision as of 22:37, 10 February 2026
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	== Scales ==		== Scales ==
	~~See [[~~Jove scales~~]].~~		{{Main\|Jove scales}}

	== Tunings ==		== Tunings ==

FloraC: Various cleanup. Fix the dead link

2026-02-10T18:36:35Z

Various cleanup. Fix the dead link

← Older revision		Revision as of 18:36, 10 February 2026
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	\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 2.86 \| Complexity 2 = ?		\| 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]] 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.

	See [[Breed family #Jove]] for more technical data.		See [[Breed family #Jove]] for more technical data.
	{{Todo\|improve synopsis}}		{{Todo\|improve synopsis}}
	~~__TOC__~~
	{{Clear}}		{{Clear}}
	== Interval lattice ==		== Interval lattice ==
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	</gallery>		</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]].		Jove enables [[essentially tempered chord]]s of [[rastmic chords\|rastmic]], [[werckismic chords\|werckismic]], [[swetismic chords\|swetismic]], and [[jove chords\|jove]].

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

	== Tuning spectrum ==		== Tunings ==
	This table assumes pure 2 and 11.		=== Tuning spectrum ===
			This table assumes the jovis mapping with 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 }}~~

	{\| class="wikitable center-1 center-2"		{\| class="wikitable center-1 center-2"
	\|-		\|-
	! [[Eigenmonzo\|Eigenmonzo<br>(Unchanged-interval)]]		! [[Eigenmonzo\|Eigenmonzo<br>(Unchanged-interval)]]
	! Major~~<br>Third~~ (¢)		! Major third (¢)
	! Comments		! Comments
	\|-		\|-
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	== Music ==		== 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 -->		[[Category:Jove\| ]] <!-- main article -->

FloraC: Jove isn't canonical w.r.t. breed

2026-02-10T18:30:40Z

Jove isn't canonical w.r.t. breed

← Older revision		Revision as of 18:30, 10 February 2026
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	{{Infobox regtemp		{{Infobox regtemp
	\| Title = ~~Breed; jove~~		\| Title = Jove
	\| Subgroups = ~~2.3.5.7,~~ 2.3.5.7.11		\| Subgroups = 2.3.5.7.11
	\| Comma basis = ~~[[2401/2400]] (7-limit); <br>~~[[243/242]], [[441/440]] (11-limit)		\| Comma basis = [[243/242]], [[441/440]] (11-limit)
	\| Edo join 1 = 31 \| Edo join 2 = 41 \| Edo join 3 = 58		\| Edo join 1 = 31 \| Edo join 2 = 41 \| Edo join 3 = 58
	\| Mapping = 1; 2 1 1 5; 0 2 1 0		\| Mapping = 1; 2 1 1 5; 0 2 1 0
	\| Generators = 49/40, 10/7		\| Generators = 11/9, 10/7
	\| Generators tuning = 350.5, 617.9		\| Generators tuning = 350.5, 617.9
	\| Optimization method = CWE		\| Optimization method = CWE

Overthink: add infobox (maybe add a separate article to breed, or rename this page)

2026-02-10T00:45:44Z

add infobox (maybe add a separate article to breed, or rename this page)

@@ Line 1: / Line 1: @@
 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.
 See [[Breed family #Jove]] for more technical data.
+{{Todo|improve synopsis}}
 == Interval lattice ==
 <gallery>

FloraC: - parent category

2025-04-29T09:53:23Z

- parent category

← Older revision		Revision as of 09:53, 29 April 2025
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	* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41]] by [[Chris Vaisvil]]		* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41]] by [[Chris Vaisvil]]

	~~[[Category:Temperaments]]~~
	[[Category:Jove\| ]] <!-- main article -->		[[Category:Jove\| ]] <!-- main article -->
	[[Category:Rank-3 temperaments]]		[[Category:Rank-3 temperaments]]

Lériendil at 23:10, 19 April 2025

2025-04-19T23:10:12Z

← Older revision		Revision as of 23:10, 19 April 2025
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Jove\| ]] <!-- main article -->		[[Category:Jove\| ]] <!-- main article -->
			[[Category:Rank-3 temperaments]]
	[[Category:Breed family]]		[[Category:Breed family]]
	[[Category:Rastmic rank-3 clan]]		[[Category:Rastmic rank-3 clan]]

VectorGraphics at 20:24, 24 March 2025

2025-03-24T20:24:03Z

← Older revision		Revision as of 20:24, 24 March 2025
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	== Scales ==		== Scales ==
	~~; Hobbit scales~~		See [[Jove scales]].
	* [[~~Jove41]] – 41-tone [[hobbit]] scale in 243edo~~
	~~; Others~~
	* [[Jove1]]
	* [[Jove2]]
	* [[Jove3]]
	* [[Jove4]]
	* [[Jove5]]
	* [[Jove6]]

	== Tuning spectrum ==		== Tuning spectrum ==

FloraC: Rework intro and chord sections; make the lattice a gallery

2023-09-26T08:49:19Z

Rework intro and chord sections; make the lattice a gallery

← Older revision		Revision as of 08:49, 26 September 2023
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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.		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.

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

	== Interval lattice ==		== Interval lattice ==
	[[File:Lattice_Jove.png]]		<gallery>
			File:Lattice_Jove.png\|11-limit jove
			</gallery>

	== Chords ==		== Chords ==
	~~{{main~~\| ~~Jove~~ chords }}		Jove enables [[essentially tempered chord]]s of [[rastmic chords\|rastmic]], [[werckismic chords\|werckismic]], [[swetismic chords\|swetismic]], and [[jove chords\|jove]].

	== Scales ==		== Scales ==
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	Gencom: [2 11/9 10/7; 243/242 441/440 351/350]		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 }}]		Gencom mapping: {{mapping\| 1 1 1 2 2 2 \| 0 2 1 1 5 -3 \| 0 0 2 1 0 5 }}

	{\| class="wikitable center-~~all~~"		{\| class="wikitable center-1 center-2"
	\|-		\|-
	! [[~~eigenmonzo~~\|~~eigenmonzo~~<br>(~~unchanged~~-interval]])		! [[Eigenmonzo\|Eigenmonzo<br>(Unchanged-interval)]]
	! ~~major~~<br>~~third~~ (¢)		! Major<br>Third (¢)
	! ~~comments~~		! Comments
	\|-		\|-
	\| 9/7		\| 9/7