Hemififths: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
See [[Breedsmic_temperaments#Hemififths|Breedsmic temperaments]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11-28 23:58:40 UTC</tt>.<br>
: The original revision id was <tt>473144602</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">See [[Breedsmic temperaments#Hemififths]].


Gencom: [2 11/9; 144/143 196/195 243/242 364/363]
Gencom: [2 11/9; 144/143 196/195 243/242 364/363]
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 2 25 13 5 -1|]
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 2 25 13 5 -1|]


=Spectrum of Hemififths Tunings by Eigenmonzos=  
=Spectrum of Hemififths Tunings by Eigenmonzos=
||~ Eigenmonzo ||~ Neutral Third ||
|| 11/9 || 347.408 ||
|| 12/11 || 349.788 ||
|| 7\24 || 350.000 ||
|| 11/8 || 350.264 ||
|| 4/3 || 350.978 ||
|| 12\41 || 351.220 ||
|| 15/14 || 351.389 ||
|| 16/15 || 351.417 ||
|| 41\140 || 351.429 ||
|| 8/7 || 351.448 (7, 9 and 11 limit hemif minimax) ||
|| 5/4 || 351.453 (5, 7, 9 and 11 limit minimax) ||
|| 7/5 || 351.457 ||
|| 6/5 || 351.494 ||
|| 29\99 || 351.515 ||
|| 7/6 || 351.534 ||
|| 10/9 || 351.543 ||
|| 9/7 || 351.657 ||
|| 15/11 || 351.680 ||
|| 15/13 || 351.705 (15 limit minimax) ||
|| 17\58 || 351.724 ||
|| 11/10 || 351.750 ||
|| 13/10 || 351.761 (13 limit minimax) ||
|| 13/11 || 351.798 (13 and 15 limit hemif minimax) ||
|| 22\75 || 352.000 ||
|| 14/13 || 352.021 ||
|| 14/11 || 352.188 ||
|| 18/13 || 352.676 ||
|| 13/12 || 353.809 ||
|| 16/13 || 359.472 ||
</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;Hemififths&lt;/title&gt;&lt;/head&gt;&lt;body&gt;See &lt;a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths"&gt;Breedsmic temperaments&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
Gencom: [2 11/9; 144/143 196/195 243/242 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 -5 -1 2 4|, &amp;lt;0 2 25 13 5 -1|]&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Spectrum of Hemififths Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Spectrum of Hemififths Tunings by Eigenmonzos&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Neutral Third&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;347.408&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;349.788&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;350.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;350.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;350.978&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.220&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;351.389&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;351.417&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41\140&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.429&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;351.448 (7, 9 and 11 limit hemif minimax)&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;351.453 (5, 7, 9 and 11 limit minimax)&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;351.457&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;351.494&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29\99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.515&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;351.534&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;351.543&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.657&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.680&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;351.705 (15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.724&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.750&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;351.761 (13 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351.798 (13 and 15 limit hemif minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22\75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352.000&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;352.021&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352.188&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;352.676&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;353.809&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;359.472&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
! | Eigenmonzo
! | Neutral Third
|-
| | 11/9
| | 347.408
|-
| | 12/11
| | 349.788
|-
| | 7\24
| | 350.000
|-
| | 11/8
| | 350.264
|-
| | 4/3
| | 350.978
|-
| | 12\41
| | 351.220
|-
| | 15/14
| | 351.389
|-
| | 16/15
| | 351.417
|-
| | 41\140
| | 351.429
|-
| | 8/7
| | 351.448 (7, 9 and 11 limit hemif minimax)
|-
| | 5/4
| | 351.453 (5, 7, 9 and 11 limit minimax)
|-
| | 7/5
| | 351.457
|-
| | 6/5
| | 351.494
|-
| | 29\99
| | 351.515
|-
| | 7/6
| | 351.534
|-
| | 10/9
| | 351.543
|-
| | 9/7
| | 351.657
|-
| | 15/11
| | 351.680
|-
| | 15/13
| | 351.705 (15 limit minimax)
|-
| | 17\58
| | 351.724
|-
| | 11/10
| | 351.750
|-
| | 13/10
| | 351.761 (13 limit minimax)
|-
| | 13/11
| | 351.798 (13 and 15 limit hemif minimax)
|-
| | 22\75
| | 352.000
|-
| | 14/13
| | 352.021
|-
| | 14/11
| | 352.188
|-
| | 18/13
| | 352.676
|-
| | 13/12
| | 353.809
|-
| | 16/13
| | 359.472
|}
[[Category:soft_redirect]]

Revision as of 00:00, 17 July 2018

See Breedsmic temperaments.

Gencom: [2 11/9; 144/143 196/195 243/242 364/363]

Gencom map: [<1 1 -5 -1 2 4|, <0 2 25 13 5 -1|]

Spectrum of Hemififths Tunings by Eigenmonzos

Eigenmonzo Neutral Third
11/9 347.408
12/11 349.788
7\24 350.000
11/8 350.264
4/3 350.978
12\41 351.220
15/14 351.389
16/15 351.417
41\140 351.429
8/7 351.448 (7, 9 and 11 limit hemif minimax)
5/4 351.453 (5, 7, 9 and 11 limit minimax)
7/5 351.457
6/5 351.494
29\99 351.515
7/6 351.534
10/9 351.543
9/7 351.657
15/11 351.680
15/13 351.705 (15 limit minimax)
17\58 351.724
11/10 351.750
13/10 351.761 (13 limit minimax)
13/11 351.798 (13 and 15 limit hemif minimax)
22\75 352.000
14/13 352.021
14/11 352.188
18/13 352.676
13/12 353.809
16/13 359.472
Retrieved from "https://en.xen.wiki/index.php?title=Hemififths&oldid=2103"