Jove: Difference between revisions
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{{Infobox regtemp | |||
| Title = Breed; jove | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11 | |||
| Comma basis = [[2401/2400]] (7-limit); <br>[[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 = 49/40, 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 = ? | |||
}} | |||
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. | 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. | ||
{{Todo|improve synopsis}} | |||
__TOC__ | |||
{{Clear}} | |||
== Interval lattice == | == Interval lattice == | ||
<gallery> | <gallery> | ||
Revision as of 00:45, 10 February 2026
| Breed; jove |
243/242, 441/440 (11-limit)
11-limit 21-odd-limit: 2.86 ¢
11-limit 21-odd-limit: ? notes
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.
See Breed family #Jove for more technical data.
Interval lattice
-
11-limit jove
Chords
Jove enables essentially tempered chords of rastmic, werckismic, swetismic, and 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: [⟨1 1 1 2 2 2], ⟨0 2 1 1 5 -3], ⟨0 0 2 1 0 5]]
| 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
- By Jove! in jove41 by Chris Vaisvil