Parizek-miller hexagon: Difference between revisions

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**Imported revision 492781324 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.
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>2014-02-28 16:58:28 UTC</tt>.<br>
: The original revision id was <tt>492781324</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">The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.


|| 1 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 7/5 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
{| class="wikitable"
|| 2 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|-
|| 3 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
| | 1
|| 4 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
| | 21/20
|| 5 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
| | 9/8
|| 6 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 25/14 || 15/8 || 2 ||
| | 7/6
</pre></div>
| | 5/4
<h4>Original HTML content:</h4>
| | 21/16
<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;parizek-miller hexagon&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.&lt;br /&gt;
| | 7/5
&lt;br /&gt;
| | 3/2
 
| | 63/40
 
| | 5/3
&lt;table class="wiki_table"&gt;
| | 7/4
    &lt;tr&gt;
| | 15/8
        &lt;td&gt;1&lt;br /&gt;
| | 2
&lt;/td&gt;
|-
        &lt;td&gt;21/20&lt;br /&gt;
| | 2
&lt;/td&gt;
| | 21/20
        &lt;td&gt;9/8&lt;br /&gt;
| | 9/8
&lt;/td&gt;
| | 7/6
        &lt;td&gt;7/6&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 21/16
        &lt;td&gt;5/4&lt;br /&gt;
| | 10/7
&lt;/td&gt;
| | 3/2
        &lt;td&gt;21/16&lt;br /&gt;
| | 63/40
&lt;/td&gt;
| | 5/3
        &lt;td&gt;7/5&lt;br /&gt;
| | 7/4
&lt;/td&gt;
| | 15/8
        &lt;td&gt;3/2&lt;br /&gt;
| | 2
&lt;/td&gt;
|-
        &lt;td&gt;63/40&lt;br /&gt;
| | 3
&lt;/td&gt;
| | 15/14
        &lt;td&gt;5/3&lt;br /&gt;
| | 9/8
&lt;/td&gt;
| | 7/6
        &lt;td&gt;7/4&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 21/16
        &lt;td&gt;15/8&lt;br /&gt;
| | 10/7
&lt;/td&gt;
| | 3/2
        &lt;td&gt;2&lt;br /&gt;
| | 63/40
&lt;/td&gt;
| | 5/3
    &lt;/tr&gt;
| | 7/4
    &lt;tr&gt;
| | 15/8
        &lt;td&gt;2&lt;br /&gt;
| | 2
&lt;/td&gt;
|-
        &lt;td&gt;21/20&lt;br /&gt;
| | 4
&lt;/td&gt;
| | 15/14
        &lt;td&gt;9/8&lt;br /&gt;
| | 9/8
&lt;/td&gt;
| | 7/6
        &lt;td&gt;7/6&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 21/16
        &lt;td&gt;5/4&lt;br /&gt;
| | 10/7
&lt;/td&gt;
| | 3/2
        &lt;td&gt;21/16&lt;br /&gt;
| | 45/28
&lt;/td&gt;
| | 5/3
        &lt;td&gt;10/7&lt;br /&gt;
| | 7/4
&lt;/td&gt;
| | 15/8
        &lt;td&gt;3/2&lt;br /&gt;
| | 2
&lt;/td&gt;
|-
        &lt;td&gt;63/40&lt;br /&gt;
| | 5
&lt;/td&gt;
| | 15/14
        &lt;td&gt;5/3&lt;br /&gt;
| | 9/8
&lt;/td&gt;
| | 25/21
        &lt;td&gt;7/4&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 21/16
        &lt;td&gt;15/8&lt;br /&gt;
| | 10/7
&lt;/td&gt;
| | 3/2
        &lt;td&gt;2&lt;br /&gt;
| | 45/28
&lt;/td&gt;
| | 5/3
    &lt;/tr&gt;
| | 7/4
    &lt;tr&gt;
| | 15/8
        &lt;td&gt;3&lt;br /&gt;
| | 2
&lt;/td&gt;
|-
        &lt;td&gt;15/14&lt;br /&gt;
| | 6
&lt;/td&gt;
| | 15/14
        &lt;td&gt;9/8&lt;br /&gt;
| | 9/8
&lt;/td&gt;
| | 25/21
        &lt;td&gt;7/6&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 21/16
        &lt;td&gt;5/4&lt;br /&gt;
| | 10/7
&lt;/td&gt;
| | 3/2
        &lt;td&gt;21/16&lt;br /&gt;
| | 45/28
&lt;/td&gt;
| | 5/3
        &lt;td&gt;10/7&lt;br /&gt;
| | 25/14
&lt;/td&gt;
| | 15/8
        &lt;td&gt;3/2&lt;br /&gt;
| | 2
&lt;/td&gt;
|}
        &lt;td&gt;63/40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;45/28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;45/28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;45/28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>