29edo: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 288886697 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 315802550 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-31 01:52:57 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-03-29 10:12:26 UTC</tt>.<br>
: The original revision id was <tt>288886697</tt>.<br>
: The original revision id was <tt>315802550</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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=Intervals and linear temperaments=  
=Intervals and linear temperaments=  
||~ Degrees of 29-EDO ||~ Cents value ||~ Generator for temperaments ||
||~ Degrees of 29-EDO ||~ Cents value ||~ Approx. ratios of the [[15-limit]] ||~ Generator for temperaments ||
|| 0 || 0 ||  ||
|| 0 || 0 || 1/1 ||  ||
|| 1 || 41.379 ||  ||
|| 1 || 41.379 ||  ||  ||
|| 2 || 82.759 || [[xenharmonic/Nautilus|Nautilus]] ||
|| 2 || 82.759 ||  || [[xenharmonic/Nautilus|Nautilus]] ||
|| 3 || 124.138 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||
|| 3 || 124.138 || 16/15, 15/14, 14/13, 13/12 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] ||
|| 4 || 165.517 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||
|| 4 || 165.517 || 12/11, 11/10 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] ||
|| 5 || 206.897 ||  ||
|| 5 || 206.897 || 9/8 ||  ||
|| 6 || 248.276 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||
|| 6 || 248.276 || 8/7, 7/6, 15/13 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] ||
|| 7· || 289.655 ||  ||
|| 7· || 289.655 || 13/11 ||  ||
|| 8 || 331.034 ||  ||
|| 8 || 331.034 || 6/5, 11/9 ||  ||
|| 9 || 372.414 ||  ||
|| 9 || 372.414 || 5/4, 16/13 ||  ||
|| 10 || 413.793 || [[xenharmonic/Roman|Roman]] ||
|| 10 || 413.793 || 14/11 || [[xenharmonic/Roman|Roman]] ||
|| 11 || 455.172 || [[xenharmonic/Ammonite|Ammonite]] ||
|| 11 || 455.172 || 9/7, 13/10 || [[xenharmonic/Ammonite|Ammonite]] ||
|| 12· || 496.552 || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]]/[[xenharmonic/Cassandra|Cassandra]]/[[xenharmonic/Leapday|Leapday]] ||
|| 12· || 496.552 || 4/3 || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]]/[[xenharmonic/Cassandra|Cassandra]]/[[xenharmonic/Leapday|Leapday]] ||
|| 13 || 537.931 ||  ||
|| 13 || 537.931 || 11/8, 15/11 ||  ||
|| 14 || 579.310 || [[xenharmonic/Tritonic|Tritonic]] ||
|| 14 || 579.310 || 7/5, 18/13 || [[xenharmonic/Tritonic|Tritonic]] ||
|| 15 || 620.690 ||  ||
|| 15 || 620.690 || 10/7, 13/9 ||  ||
|| 16 || 662.069 ||  ||
|| 16 || 662.069 || 16/11, 22/15 ||  ||
|| 17· || 703.448 ||  ||
|| 17· || 703.448 || 3/2 ||  ||
|| 18 || 744.828 ||  ||
|| 18 || 744.828 || 14/9, 20/13 ||  ||
|| 19 || 786.207 ||  ||
|| 19 || 786.207 || 11/7 ||  ||
|| 20 || 827.586 ||  ||
|| 20 || 827.586 || 8/5, 13/8 ||  ||
|| 21 || 868.966 ||  ||
|| 21 || 868.966 || 5/3, 18/11 ||  ||
|| 22· || 910.345 ||  ||
|| 22· || 910.345 || 22/13 ||  ||
|| 23 || 951.724 ||  ||
|| 23 || 951.724 || 7/4, 12/7, 26/15 ||  ||
|| 24 || 993.103 ||  ||
|| 24 || 993.103 || 16/9 ||  ||
|| 25 || 1034.483 ||  ||
|| 25 || 1034.483 || 11/6, 20/11 ||  ||
|| 26 || 1075.862 ||  ||
|| 26 || 1075.862 || 15/8, 28/15, 13/7, 24/13 ||  ||
|| 27 || 1117.241 ||  ||
|| 27 || 1117.241 ||  ||  ||
|| 28 || 1158.621 ||  ||
|| 28 || 1158.621 ||  ||  ||
[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]]
[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]]


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&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Cents value&lt;br /&gt;
         &lt;th&gt;Cents value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Approx. ratios of the &lt;a class="wiki_link" href="/15-limit"&gt;15-limit&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Generator for temperaments&lt;br /&gt;
         &lt;th&gt;Generator for temperaments&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;41.379&lt;br /&gt;
         &lt;td&gt;41.379&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;82.759&lt;br /&gt;
         &lt;td&gt;82.759&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Nautilus"&gt;Nautilus&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Nautilus"&gt;Nautilus&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;124.138&lt;br /&gt;
         &lt;td&gt;124.138&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/15, 15/14, 14/13, 13/12&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri"&gt;Negri&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negril"&gt;Negril&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri"&gt;Negri&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negril"&gt;Negril&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;165.517&lt;br /&gt;
         &lt;td&gt;165.517&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/11, 11/10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine"&gt;Porcupine&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porky"&gt;Porky&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Coendou"&gt;Coendou&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porcupine"&gt;Porcupine&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Porky"&gt;Porky&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Coendou"&gt;Coendou&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;206.897&lt;br /&gt;
         &lt;td&gt;206.897&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;248.276&lt;br /&gt;
         &lt;td&gt;248.276&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/7, 7/6, 15/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown"&gt;Bridgetown&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity"&gt;Immunity&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chromatic%20pairs#Bridgetown"&gt;Bridgetown&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Immunity"&gt;Immunity&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;289.655&lt;br /&gt;
         &lt;td&gt;289.655&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;331.034&lt;br /&gt;
         &lt;td&gt;331.034&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5, 11/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;372.414&lt;br /&gt;
         &lt;td&gt;372.414&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4, 16/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;413.793&lt;br /&gt;
         &lt;td&gt;413.793&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Roman"&gt;Roman&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Roman"&gt;Roman&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;455.172&lt;br /&gt;
         &lt;td&gt;455.172&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7, 13/10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite"&gt;Ammonite&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ammonite"&gt;Ammonite&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;496.552&lt;br /&gt;
         &lt;td&gt;496.552&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz"&gt;Helmholtz&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi"&gt;Garibaldi&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cassandra"&gt;Cassandra&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Leapday"&gt;Leapday&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz"&gt;Helmholtz&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi"&gt;Garibaldi&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cassandra"&gt;Cassandra&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Leapday"&gt;Leapday&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;537.931&lt;br /&gt;
         &lt;td&gt;537.931&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8, 15/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;579.310&lt;br /&gt;
         &lt;td&gt;579.310&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/5, 18/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tritonic"&gt;Tritonic&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tritonic"&gt;Tritonic&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;620.690&lt;br /&gt;
         &lt;td&gt;620.690&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7, 13/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;662.069&lt;br /&gt;
         &lt;td&gt;662.069&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/11, 22/15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;703.448&lt;br /&gt;
         &lt;td&gt;703.448&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;744.828&lt;br /&gt;
         &lt;td&gt;744.828&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/9, 20/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;786.207&lt;br /&gt;
         &lt;td&gt;786.207&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;827.586&lt;br /&gt;
         &lt;td&gt;827.586&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5, 13/8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;868.966&lt;br /&gt;
         &lt;td&gt;868.966&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3, 18/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;910.345&lt;br /&gt;
         &lt;td&gt;910.345&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;951.724&lt;br /&gt;
         &lt;td&gt;951.724&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4, 12/7, 26/15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;993.103&lt;br /&gt;
         &lt;td&gt;993.103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1034.483&lt;br /&gt;
         &lt;td&gt;1034.483&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/6, 20/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1075.862&lt;br /&gt;
         &lt;td&gt;1075.862&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8, 28/15, 13/7, 24/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1117.241&lt;br /&gt;
         &lt;td&gt;1117.241&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1158.621&lt;br /&gt;
         &lt;td&gt;1158.621&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/table&gt;
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&lt;!-- ws:start:WikiTextLocalImageRule:590:&amp;lt;img src=&amp;quot;/file/view/29edothumb.png/277524658/29edothumb.png&amp;quot; alt=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; title=&amp;quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;this example in Sagittal notation shows 29-edo as a fifth-tone system.&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:590 --&gt;&lt;br /&gt;
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