Sensi extensions: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
[[Sensi|Sensi]] temperament has various extensions to the 11 limit. These are all members of the [[Sensipent_family|sensipent family]], but in addition they are linear 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>2012-11-06 12:59:42 UTC</tt>.<br>
: The original revision id was <tt>379749688</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">[[Sensi]] temperament has various extensions to the 11 limit. These are all members of the [[sensipent family]], but in addition they are linear temperaments.


=Tuning Spectra=
=Tuning Spectra=
==Spectrum of Sensor Tunings by Eigenmonzos==  
 
==Spectrum of Sensor Tunings by Eigenmonzos==


Gencom: [2 9/7; 91/90 126/125 169/168 385/384]
Gencom: [2 9/7; 91/90 126/125 169/168 385/384]
Gencom map: [&lt;1 -1 -1 -2 9 0|, &lt;0 7 9 13 -15 10|]
Gencom map: [&lt;1 -1 -1 -2 9 0|, &lt;0 7 9 13 -15 10|]
||~ Eigenmonzo ||~ Supermajor Third ||
|| 9/7 || 435.084 ||
|| 15/14 || 439.814 ||
|| 18/13 || 440.846 ||
|| 15/13 || 441.290 ||
|| 6/5 || 442.179 ||
|| 14/13 || 442.766 ||
|| 5/4 || 442.924 (5 limit minimax) ||
|| 16/15 || 443.017 ||
|| 11/10 || 443.125 ||
|| 15/11 || 443.127 ||
|| 4/3 || 443.136 (15 limit minimax) ||
|| 11/9 || 443.193 ||
|| 12/11 || 443.211 ||
|| 11/8 || 443.245 ||
|| 14/11 || 443.482 (11 limit minimax) ||
|| 10/9 || 443.519 (9 and 13 limit minimax) ||
|| 13/11 || 443.568 ||
|| 8/7 || 443.756 (7 limit minimax) ||
|| 16/13 || 444.053 ||
|| 7/6 || 444.478 ||
|| 7/5 || 445.628 ||
|| 13/12 || 446.191 ||
|| 13/10 || 454.214 ||


==Spectrum of Sensis Tunings by Eigenmonzos==  
{| class="wikitable"
|-
! | Eigenmonzo
! | Supermajor Third
|-
| | 9/7
| | 435.084
|-
| | 15/14
| | 439.814
|-
| | 18/13
| | 440.846
|-
| | 15/13
| | 441.290
|-
| | 6/5
| | 442.179
|-
| | 14/13
| | 442.766
|-
| | 5/4
| | 442.924 (5 limit minimax)
|-
| | 16/15
| | 443.017
|-
| | 11/10
| | 443.125
|-
| | 15/11
| | 443.127
|-
| | 4/3
| | 443.136 (15 limit minimax)
|-
| | 11/9
| | 443.193
|-
| | 12/11
| | 443.211
|-
| | 11/8
| | 443.245
|-
| | 14/11
| | 443.482 (11 limit minimax)
|-
| | 10/9
| | 443.519 (9 and 13 limit minimax)
|-
| | 13/11
| | 443.568
|-
| | 8/7
| | 443.756 (7 limit minimax)
|-
| | 16/13
| | 444.053
|-
| | 7/6
| | 444.478
|-
| | 7/5
| | 445.628
|-
| | 13/12
| | 446.191
|-
| | 13/10
| | 454.214
|}
 
==Spectrum of Sensis Tunings by Eigenmonzos==


Gencom: [2 9/7; 56/55 78/77 91/90 100/99]
Gencom: [2 9/7; 56/55 78/77 91/90 100/99]
Gencom map: [&lt;1 -1 -1 -2 2 0|, &lt;0 7 9 13 4 10|]
Gencom map: [&lt;1 -1 -1 -2 2 0|, &lt;0 7 9 13 4 10|]
||~ Eigenmonzo ||~ Supermajor Third ||
|| 9/7 || 435.084 ||
|| 11/8 || 437.829 ||
|| 15/14 || 439.814 ||
|| 18/13 || 440.846 ||
|| 15/13 || 441.290 ||
|| 6/5 || 442.179 ||
|| 14/13 || 442.766 ||
|| 5/4 || 442.924 (5 limit minimax) ||
|| 16/15 || 443.017 ||
|| 4/3 || 443.136 ||
|| 10/9 || 443.519 (9 limit minimax) ||
|| 8/7 || 443.756 (7 and 11 limit minimax) ||
|| 16/13 || 444.053 (13 and 15 limit minimax) ||
|| 7/6 || 444.478 ||
|| 15/11 || 444.746 ||
|| 11/9 || 445.259 ||
|| 7/5 || 445.628 ||
|| 13/12 || 446.191 ||
|| 14/11 || 446.390 ||
|| 11/10 || 446.999 ||
|| 13/11 || 448.202 ||
|| 12/11 || 450.212 ||
|| 13/10 || 454.214 ||


==Spectrum of Sensus Tunings by Eigenmonzos==  
{| class="wikitable"
|-
! | Eigenmonzo
! | Supermajor Third
|-
| | 9/7
| | 435.084
|-
| | 11/8
| | 437.829
|-
| | 15/14
| | 439.814
|-
| | 18/13
| | 440.846
|-
| | 15/13
| | 441.290
|-
| | 6/5
| | 442.179
|-
| | 14/13
| | 442.766
|-
| | 5/4
| | 442.924 (5 limit minimax)
|-
| | 16/15
| | 443.017
|-
| | 4/3
| | 443.136
|-
| | 10/9
| | 443.519 (9 limit minimax)
|-
| | 8/7
| | 443.756 (7 and 11 limit minimax)
|-
| | 16/13
| | 444.053 (13 and 15 limit minimax)
|-
| | 7/6
| | 444.478
|-
| | 15/11
| | 444.746
|-
| | 11/9
| | 445.259
|-
| | 7/5
| | 445.628
|-
| | 13/12
| | 446.191
|-
| | 14/11
| | 446.390
|-
| | 11/10
| | 446.999
|-
| | 13/11
| | 448.202
|-
| | 12/11
| | 450.212
|-
| | 13/10
| | 454.214
|}
 
==Spectrum of Sensus Tunings by Eigenmonzos==


Gencom: [2 9/7; 91/90 126/125 169/168 352/351]
Gencom: [2 9/7; 91/90 126/125 169/168 352/351]
Gencom map: [&lt;1 -1 -1 -2 -8 0|, &lt;0 7 9 13 31 10|]
Gencom map: [&lt;1 -1 -1 -2 -8 0|, &lt;0 7 9 13 31 10|]
||~ Eigenmonzo ||~ Supermajor Third ||
|| 9/7 || 435.084 ||
|| 15/14 || 439.814 ||
|| 18/13 || 440.846 ||
|| 15/13 || 441.290 ||
|| 6/5 || 442.179 ||
|| 14/13 || 442.766 ||
|| 5/4 || 442.924 (5 limit minimax) ||
|| 16/15 || 443.017 ||
|| 4/3 || 443.136 ||
|| 13/11 || 443.371 ||
|| 14/11 || 443.472 ||
|| 10/9 || 443.519 (9 limit minimax) ||
|| 11/8 || 443.591 ||
|| 12/11 || 443.723 ||
|| 8/7 || 443.756 (7 and 11 limit minimax) ||
|| 11/10 || 443.864 ||
|| 11/9 || 443.965 ||
|| 16/13 || 444.053 (13 and 15 limit minimax) ||
|| 15/11 || 444.203 ||
|| 7/6 || 444.478 ||
|| 7/5 || 445.628 ||
|| 13/12 || 446.191 ||
|| 13/10 || 454.214 ||


==Spectrum of Sensa Tunings by Eigenmonzos==  
{| class="wikitable"
|-
! | Eigenmonzo
! | Supermajor Third
|-
| | 9/7
| | 435.084
|-
| | 15/14
| | 439.814
|-
| | 18/13
| | 440.846
|-
| | 15/13
| | 441.290
|-
| | 6/5
| | 442.179
|-
| | 14/13
| | 442.766
|-
| | 5/4
| | 442.924 (5 limit minimax)
|-
| | 16/15
| | 443.017
|-
| | 4/3
| | 443.136
|-
| | 13/11
| | 443.371
|-
| | 14/11
| | 443.472
|-
| | 10/9
| | 443.519 (9 limit minimax)
|-
| | 11/8
| | 443.591
|-
| | 12/11
| | 443.723
|-
| | 8/7
| | 443.756 (7 and 11 limit minimax)
|-
| | 11/10
| | 443.864
|-
| | 11/9
| | 443.965
|-
| | 16/13
| | 444.053 (13 and 15 limit minimax)
|-
| | 15/11
| | 444.203
|-
| | 7/6
| | 444.478
|-
| | 7/5
| | 445.628
|-
| | 13/12
| | 446.191
|-
| | 13/10
| | 454.214
|}
 
==Spectrum of Sensa Tunings by Eigenmonzos==


Gencom: [2 9/7; 55/54 66/65 77/75 143/140]
Gencom: [2 9/7; 55/54 66/65 77/75 143/140]
Gencom map: [&lt;1 -1 -1 -2 -1 0|, &lt;0 7 9 13 12 10|]
Gencom map: [&lt;1 -1 -1 -2 -1 0|, &lt;0 7 9 13 12 10|]
||~ Eigenmonzo ||~ Supermajor Third ||
|| 14/11 || 417.508 ||
|| 11/9 || 426.296 ||
|| 15/11 || 434.238 ||
|| 9/7 || 435.084 ||
|| 15/14 || 439.814 ||
|| 18/13 || 440.846 ||
|| 15/13 || 441.290 ||
|| 6/5 || 442.179 ||
|| 14/13 || 442.766 ||
|| 5/4 || 442.924 (5 limit minimax) ||
|| 16/15 || 443.017 ||
|| 4/3 || 443.136 ||
|| 10/9 || 443.519 (9 limit minimax) ||
|| 8/7 || 443.756 (7 and 11 limit minimax) ||
|| 16/13 || 444.053 (13 and 15 limit minimax) ||
|| 7/6 || 444.478 ||
|| 7/5 || 445.628 ||
|| 11/8 || 445.943 ||
|| 13/12 || 446.191 ||
|| 12/11 || 449.873 ||
|| 13/10 || 454.214 ||
|| 11/10 || 455.001 ||
|| 13/11 || 455.395 ||
</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;Sensi extensions&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Sensi"&gt;Sensi&lt;/a&gt; temperament has various extensions to the 11 limit. These are all members of the &lt;a class="wiki_link" href="/sensipent%20family"&gt;sensipent family&lt;/a&gt;, but in addition they are linear temperaments.&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="Tuning Spectra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Tuning Spectra&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Tuning Spectra-Spectrum of Sensor Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Spectrum of Sensor Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
Gencom: [2 9/7; 91/90 126/125 169/168 385/384]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2 9 0|, &amp;lt;0 7 9 13 -15 10|]&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Supermajor Third&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;435.084&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;439.814&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;440.846&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;441.290&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;442.179&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;442.766&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;442.924 (5 limit minimax)&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;443.017&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;443.125&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;443.127&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;443.136 (15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.193&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;443.211&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;443.245&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;443.482 (11 limit minimax)&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;443.519 (9 and 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;443.568&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;443.756 (7 limit minimax)&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;444.053&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;444.478&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;445.628&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;446.191&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;454.214&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Tuning Spectra-Spectrum of Sensis Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Spectrum of Sensis Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
Gencom: [2 9/7; 56/55 78/77 91/90 100/99]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2 2 0|, &amp;lt;0 7 9 13 4 10|]&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Supermajor Third&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;435.084&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;437.829&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;439.814&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;440.846&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;441.290&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;442.179&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;442.766&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;442.924 (5 limit minimax)&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;443.017&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;443.136&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;443.519 (9 limit minimax)&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;443.756 (7 and 11 limit minimax)&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;444.053 (13 and 15 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;444.478&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;444.746&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;445.259&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;445.628&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;446.191&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;446.390&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;446.999&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;448.202&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;450.212&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;454.214&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Tuning Spectra-Spectrum of Sensus Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Spectrum of Sensus Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
Gencom: [2 9/7; 91/90 126/125 169/168 352/351]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2 -8 0|, &amp;lt;0 7 9 13 31 10|]&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Supermajor Third&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;435.084&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;439.814&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;440.846&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;441.290&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;442.179&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;442.766&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;442.924 (5 limit minimax)&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;443.017&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;443.136&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;443.371&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;443.472&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;443.519 (9 limit minimax)&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;443.591&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;443.723&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;443.756 (7 and 11 limit minimax)&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;443.864&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.965&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;444.053 (13 and 15 limit minimax)&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;444.203&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;444.478&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;445.628&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;446.191&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;454.214&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Tuning Spectra-Spectrum of Sensa Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Spectrum of Sensa Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
Gencom: [2 9/7; 55/54 66/65 77/75 143/140]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2 -1 0|, &amp;lt;0 7 9 13 12 10|]&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Supermajor Third&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;417.508&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;426.296&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;434.238&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;435.084&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;439.814&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;440.846&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;441.290&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;442.179&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;442.766&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;442.924 (5 limit minimax)&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;443.017&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;443.136&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;443.519 (9 limit minimax)&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;443.756 (7 and 11 limit minimax)&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;444.053 (13 and 15 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;444.478&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;445.628&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;445.943&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;446.191&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;449.873&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;454.214&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;455.001&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;455.395&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
! | Eigenmonzo
! | Supermajor Third
|-
| | 14/11
| | 417.508
|-
| | 11/9
| | 426.296
|-
| | 15/11
| | 434.238
|-
| | 9/7
| | 435.084
|-
| | 15/14
| | 439.814
|-
| | 18/13
| | 440.846
|-
| | 15/13
| | 441.290
|-
| | 6/5
| | 442.179
|-
| | 14/13
| | 442.766
|-
| | 5/4
| | 442.924 (5 limit minimax)
|-
| | 16/15
| | 443.017
|-
| | 4/3
| | 443.136
|-
| | 10/9
| | 443.519 (9 limit minimax)
|-
| | 8/7
| | 443.756 (7 and 11 limit minimax)
|-
| | 16/13
| | 444.053 (13 and 15 limit minimax)
|-
| | 7/6
| | 444.478
|-
| | 7/5
| | 445.628
|-
| | 11/8
| | 445.943
|-
| | 13/12
| | 446.191
|-
| | 12/11
| | 449.873
|-
| | 13/10
| | 454.214
|-
| | 11/10
| | 455.001
|-
| | 13/11
| | 455.395
|}
[[Category:eigenmonzo]]
[[Category:sensa]]
[[Category:sensi]]
[[Category:sensipent]]
[[Category:sensis]]
[[Category:sensor]]
[[Category:sensus]]
[[Category:spectrum]]

Revision as of 00:00, 17 July 2018

Sensi temperament has various extensions to the 11 limit. These are all members of the sensipent family, but in addition they are linear temperaments.

Tuning Spectra

Spectrum of Sensor Tunings by Eigenmonzos

Gencom: [2 9/7; 91/90 126/125 169/168 385/384]

Gencom map: [<1 -1 -1 -2 9 0|, <0 7 9 13 -15 10|]

Eigenmonzo Supermajor Third
9/7 435.084
15/14 439.814
18/13 440.846
15/13 441.290
6/5 442.179
14/13 442.766
5/4 442.924 (5 limit minimax)
16/15 443.017
11/10 443.125
15/11 443.127
4/3 443.136 (15 limit minimax)
11/9 443.193
12/11 443.211
11/8 443.245
14/11 443.482 (11 limit minimax)
10/9 443.519 (9 and 13 limit minimax)
13/11 443.568
8/7 443.756 (7 limit minimax)
16/13 444.053
7/6 444.478
7/5 445.628
13/12 446.191
13/10 454.214

Spectrum of Sensis Tunings by Eigenmonzos

Gencom: [2 9/7; 56/55 78/77 91/90 100/99]

Gencom map: [<1 -1 -1 -2 2 0|, <0 7 9 13 4 10|]

Eigenmonzo Supermajor Third
9/7 435.084
11/8 437.829
15/14 439.814
18/13 440.846
15/13 441.290
6/5 442.179
14/13 442.766
5/4 442.924 (5 limit minimax)
16/15 443.017
4/3 443.136
10/9 443.519 (9 limit minimax)
8/7 443.756 (7 and 11 limit minimax)
16/13 444.053 (13 and 15 limit minimax)
7/6 444.478
15/11 444.746
11/9 445.259
7/5 445.628
13/12 446.191
14/11 446.390
11/10 446.999
13/11 448.202
12/11 450.212
13/10 454.214

Spectrum of Sensus Tunings by Eigenmonzos

Gencom: [2 9/7; 91/90 126/125 169/168 352/351]

Gencom map: [<1 -1 -1 -2 -8 0|, <0 7 9 13 31 10|]

Eigenmonzo Supermajor Third
9/7 435.084
15/14 439.814
18/13 440.846
15/13 441.290
6/5 442.179
14/13 442.766
5/4 442.924 (5 limit minimax)
16/15 443.017
4/3 443.136
13/11 443.371
14/11 443.472
10/9 443.519 (9 limit minimax)
11/8 443.591
12/11 443.723
8/7 443.756 (7 and 11 limit minimax)
11/10 443.864
11/9 443.965
16/13 444.053 (13 and 15 limit minimax)
15/11 444.203
7/6 444.478
7/5 445.628
13/12 446.191
13/10 454.214

Spectrum of Sensa Tunings by Eigenmonzos

Gencom: [2 9/7; 55/54 66/65 77/75 143/140]

Gencom map: [<1 -1 -1 -2 -1 0|, <0 7 9 13 12 10|]

Eigenmonzo Supermajor Third
14/11 417.508
11/9 426.296
15/11 434.238
9/7 435.084
15/14 439.814
18/13 440.846
15/13 441.290
6/5 442.179
14/13 442.766
5/4 442.924 (5 limit minimax)
16/15 443.017
4/3 443.136
10/9 443.519 (9 limit minimax)
8/7 443.756 (7 and 11 limit minimax)
16/13 444.053 (13 and 15 limit minimax)
7/6 444.478
7/5 445.628
11/8 445.943
13/12 446.191
12/11 449.873
13/10 454.214
11/10 455.001
13/11 455.395