Jove: Difference between revisions

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Jove isn't canonical w.r.t. breed
Various cleanup. Fix the dead link
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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 -->

Revision as of 18:36, 10 February 2026

Jove
Subgroups 2.3.5.7.11
Comma basis 243/242, 441/440 (11-limit)
Reduced mapping ⟨1; 2 1 1 5; 0 2 1 0]
ET join 31 & 41 & 58
Generators (CWE) ~11/9 = 350.5 ¢, ~10/7 = 617.9 ¢
MOS scales n/a
Ploidacot n/a
Pergen (P8, P5/2, c^^M7/4)
Color name Bizozoguti
Minimax error 9-odd-limit: 0.18 ¢;
11-limit 21-odd-limit: 2.86 ¢
Target scale size 9-odd-limit: ? notes;
11-limit 21-odd-limit: ? notes

Jove is a rank-3 temperament that 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.

Interval lattice

Chords and harmony

Jove enables essentially tempered chords of rastmic, werckismic, swetismic, and jove.

Scales

See Jove scales.

Tunings

Tuning spectrum

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

Eigenmonzo
(Unchanged-interval)
Major third (¢) Comments
9/7 381.677
10/9 383.458 11-odd-limit minimax
7/6 384.533
6/5 384.886
7/5 385.239
18/13 385.649 13- and 15-odd-limit jovis minimax
15/13 386.157
13/12 386.220
5/4 386.314
14/13 386.642
16/13 386.791
13/10 387.109
8/7 387.388
16/15 387.742
15/14 388.095

Music

Chris Vaisvil