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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox regtemp |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Title = Jove |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-06 13:30:32 UTC</tt>.<br>
| | | Subgroups = 2.3.5.7.11 |
| : The original revision id was <tt>475292602</tt>.<br>
| | | Comma basis = [[243/242]], [[441/440]] (11-limit) |
| : The revision comment was: <tt></tt><br>
| | | Edo join 1 = 31 | Edo join 2 = 41 | Edo join 3 = 58 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Mapping = 1; 2 1 1 5; 0 2 1 0 |
| <h4>Original Wikitext content:</h4>
| | | Generators = 11/9, 10/7 |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">See [[Breed family#Jove, aka Wonder|Jove]] and [[Breed family#Jove, aka Wonder-Jovis|Jovis]]
| | | 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]]. |
|
| |
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| Gencom: [2 11/9 10/7; 243/242 441/440 351/350]
| | It can be extended to the [[13-limit]] as jovial (41 & 58 & 72), jovis (31 & 58 & 72), or jofur (31 & 41 & 58). |
| Gencom Mapping[<1 1 1 2 2 2|, <0 2 1 1 5 -3|, <0 0 2 1 0 5|]
| |
| =Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11=
| |
| ||~ Eigenmonzo ||~ 5/4 ||
| |
| || 9/7 || 381.677 ||
| |
| || 10/9 || 383.458 (11 limit minimax) ||
| |
| || 7/6 || 384.533 ||
| |
| || 6/5 || 384.886 ||
| |
| || 7/5 || 385.239 ||
| |
| || 18/13 || 385.649 (13 and 15 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 ||
| |
| </pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Jove</title></head><body>See <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">Jove</a> and <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder-Jovis">Jovis</a><br />
| |
| <br />
| |
| Gencom: [2 11/9 10/7; 243/242 441/440 351/350]<br />
| |
| Gencom Mapping[&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;0 0 2 1 0 5|] <br />
| |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11"></a><!-- ws:end:WikiTextHeadingRule:0 -->Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11</h1>
| |
|
| |
|
| | See [[Breed family #Jove]] for technical data. |
|
| |
|
| <table class="wiki_table">
| | == Interval lattice == |
| <tr>
| | <gallery> |
| <th>Eigenmonzo<br />
| | File:Lattice_Jove.png|11-limit jove |
| </th>
| | </gallery> |
| <th>5/4<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>381.677<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>383.458 (11 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>384.533<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>384.886<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>385.239<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>385.649 (13 and 15 limit jovis minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>386.157<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>386.220<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>386.314<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>386.642<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>386.791<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>387.109<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>387.388<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>387.742<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>388.095<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | == Chords and harmony == |
| | Jove enables [[essentially tempered chord]]s of [[rastmic chords|rastmic]], [[werckismic chords|werckismic]], [[swetismic chords|swetismic]], and [[jove chords|jove]]. |
| | |
| | == Scales == |
| | {{Main|Jove scales}} |
| | |
| | == Tunings == |
| | === Tuning spectrum === |
| | This table assumes the jovis mapping with pure 2 and 11. |
| | |
| | {| class="wikitable center-1 center-2" |
| | |- |
| | ! [[Eigenmonzo|Eigenmonzo<br>(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]] |
| | * [https://web.archive.org/web/20201127014311/http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 ''By Jove!''] in [[jove41]] |
| | |
| | [[Category:Jove| ]] <!-- main article --> |
| | [[Category:Rank-3 temperaments]] |
| | [[Category:Breed family]] |
| | [[Category:Rastmic rank-3 clan]] |
| | [[Category:Werckismic temperaments]] |
| | [[Category:Swetismic temperaments]] |
| | [[Category:Listen]] |
| 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 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
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
|
|
Music
- Chris Vaisvil
11-limit jove