Jove: Difference between revisions
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Rework intro and chord sections; make the lattice a gallery |
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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 == | ||
<gallery> | |||
File:Lattice_Jove.png|11-limit jove | |||
</gallery> | |||
== Chords == | == Chords == | ||
Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]]. | |||
== Scales == | == Scales == | ||
| Line 25: | Line 27: | ||
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 | Gencom mapping: {{mapping| 1 1 1 2 2 2 | 0 2 1 1 5 -3 | 0 0 2 1 0 5 }} | ||
{| class="wikitable center- | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
! [[ | ! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]] | ||
! | ! Major<br>Third (¢) | ||
! | ! Comments | ||
|- | |- | ||
| 9/7 | | 9/7 | ||
Revision as of 08:49, 26 September 2023
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
- Hobbit scales
- Others
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