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Cmloegcmluin (talk | contribs) →Spectrum of jove/jovis tunings by eigenmonzos: improve and standardize tuning spectra tables |
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{{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 | 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 == | == Interval lattice == | ||
<gallery> | |||
File:Lattice_Jove.png|11-limit jove | |||
</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 == | == Scales == | ||
{{Main|Jove scales}} | |||
== Tunings == | |||
=== Tuning spectrum === | |||
This table assumes the jovis mapping with pure 2 and 11. | |||
{| class="wikitable center- | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
! [[ | ! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]] | ||
! | ! Major third (¢) | ||
! | ! Comments | ||
|- | |- | ||
| 9/7 | | 9/7 | ||
| Line 95: | Line 102: | ||
== Music == | == Music == | ||
* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41 | ; [[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 --> | ||
[[Category:Rank-3 temperaments]] | |||
[[Category:Breed family]] | [[Category:Breed family]] | ||
[[Category:Rastmic | [[Category:Rastmic rank-3 clan]] | ||
[[Category:Werckismic temperaments]] | [[Category:Werckismic temperaments]] | ||
[[Category:Swetismic temperaments]] | [[Category:Swetismic temperaments]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
Latest revision as of 11:50, 11 February 2026
| Jove |
11-limit 21-odd-limit: 2.86 ¢
11-limit 21-odd-limit: ? notes
Jove is a rank-3 temperament of the breed family. Like breed, it is generated by a neutral third of 49/40~60/49, two of which give a 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.
Interval lattice
-
11-limit jove
Chords and harmony
Jove enables essentially tempered chords of rastmic, werckismic, swetismic, and 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 |