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Jove: Difference between revisions

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**Imported revision 475292602 - Original comment: **
m Text replacement - "rank-3 temperament" to "rank-3 temperament"
 
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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]] 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]].


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[&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Jove&lt;/title&gt;&lt;/head&gt;&lt;body&gt;See &lt;a class="wiki_link" href="/Breed%20family#Jove, aka Wonder"&gt;Jove&lt;/a&gt; and &lt;a class="wiki_link" href="/Breed%20family#Jove, aka Wonder-Jovis"&gt;Jovis&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
Gencom: [2 11/9 10/7; 243/242 441/440 351/350]&lt;br /&gt;
Gencom Mapping[&amp;lt;1 1 1 2 2 2|, &amp;lt;0 2 1 1 5 -3|, &amp;lt;0 0 2 1 0 5|] &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Spectrum of Jove/Jovis Tunings by Eigenmonzos, Assuming Pure 2 and 11&lt;/h1&gt;


See [[Breed family #Jove]] for technical data.


&lt;table class="wiki_table"&gt;
== Interval lattice ==
    &lt;tr&gt;
<gallery>
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
File:Lattice_Jove.png|11-limit jove
&lt;/th&gt;
</gallery>
        &lt;th&gt;5/4&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;381.677&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;383.458 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;384.533&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;384.886&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;385.239&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;385.649 (13 and 15 limit jovis minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.157&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.220&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.314&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.642&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.791&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;387.109&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;387.388&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;387.742&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;388.095&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</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]]
Retrieved from "https://en.xen.wiki/w/Jove"