22edo tetrachords: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>Andrew_Heathwaite
**Imported revision 84345879 - Original comment: **
Wikispaces>guest
**Imported revision 86717975 - Original comment: **
Line 1: Line 1:
<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>2009-08-15 02:46:19 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2009-09-01 22:10:07 UTC</tt>.<br>
: The original revision id was <tt>84345879</tt>.<br>
: The original revision id was <tt>86717975</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>
Line 14: Line 14:
|| 6-1-2 || 6-2-1 ||  ||  ||  ||  ||  ||
|| 6-1-2 || 6-2-1 ||  ||  ||  ||  ||  ||
|| 7-1-1 ||  ||  ||  ||  ||  ||  ||
|| 7-1-1 ||  ||  ||  ||  ||  ||  ||
Primary tetrachords in bold - tetrachords containing exactly one second and one third (16 altogether):


|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes ||
|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes ||
|| 1-1-7 || P1 d2 m2 P4 || do di ra fa || found in enharmonic genus ||
|| 1-1-7 || P1 d2 m2 P4 || do di ra fa || enharmonic ||
|| 1-2-6 || P1 d2 N2 P4 || do di ru fa ||   ||
|| 1-2-6 || P1 d2 N2 P4 || do di ru fa || chromatic ||
|| 1-3-5 || P1 d2 M2 P4 || do di re fa ||   ||
|| 1-3-5 || P1 d2 M2 P4 || do di re fa || chromatic ||
|| **1-4-4** || **P1 d2 sm3 P4** || **do di ma fa** || found in Superpyth Phrygian ||
|| 1-4-4 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian, diatonic ||
|| **1-5-3** || **P1 d2 m3 P4** || **do di me fa** ||   ||
|| 1-5-3 || P1 d2 m3 P4 || do di me fa || chromatic shuffle ||
|| **1-6-2** || **P1 d2 M3 P4** || **do di mi fa** ||   ||
|| 1-6-2 || P1 d2 M3 P4 || do di mi fa || chromatic shuffle ||
|| **1-7-1** || **P1 d2 SM3 P4** || **do di mo fa** ||   ||
|| 1-7-1 || P1 d2 SM3 P4 || do di mo fa || enharmonic shuffle ||
|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa ||   ||
|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa || chromatic ||
|| 2-2-5 || P1 m2 M2 P4 || do ra re fa ||   ||
|| 2-2-5 || P1 m2 M2 P4 || do ra re fa || chromatic ||
|| **2-3-4** || **P1 m2 sm3 P4** || **do ra ma fa** ||   ||
|| 2-3-4 || P1 m2 sm3 P4 || do ra ma fa || diatonic ||
|| **2-4-3** || **P1 m2 m3 P4** || **do ra me fa** ||   ||
|| 2-4-3 || P1 m2 m3 P4 || do ra me fa || diatonic shuffle ||
|| **2-5-2** || **P1 m2 M3 P4** || **do ra mi fa** ||   ||
|| 2-5-2 || P1 m2 M3 P4 || do ra mi fa || chromatic shuffle ||
|| **2-6-1** || **P1 m2 SM3 P4** || **do ra mo fa** ||   ||
|| 2-6-1 || P1 m2 SM3 P4 || do ra mo fa || chromatic shuffle ||
|| 3-1-5 || P1 N2 M2 P4 || do ru re fa ||   ||
|| 3-1-5 || P1 N2 M2 P4 || do ru re fa || chromatic ||
|| **3-2-4** || **P1 N2 sm3 P4** || **do ru ma fa** ||   ||
|| 3-2-4 || P1 N2 sm3 P4 || do ru ma fa || diatonic ||
|| **3-3-3** || **P1 N2 m3 P4** || **do ru me fa** || perfectly even tetrachord - found in Porcupine tunings ||
|| 3-3-3 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament, diatonic ||
|| **3-4-2** || **P1 N2 M3 P4** || **do ru mi fa** ||   ||
|| 3-4-2 || P1 N2 M3 P4 || do ru mi fa || diatonic shuffle ||
|| **3-5-1** || **P1 N2 SM3 P4** || **do ru mo fa** ||   ||
|| 3-5-1 || P1 N2 SM3 P4 || do ru mo fa || chromatic ||
|| **4-1-4** || **P1 M2 sm3 P4** || **do re ma fa** || found in Superpyth Minor (&amp; Dorian) ||
|| 4-1-4 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (&amp; Dorian), diatonic shuffle ||
|| **4-2-3** || **P1 M2 m3 P4** || **do re me fa** ||   ||
|| 4-2-3 || P1 M2 m3 P4 || do re me fa || diatonic shuffle ||
|| **4-3-2** || **P1 M2 M3 P4** || **do re mi fa** ||   ||
|| 4-3-2 || P1 M2 M3 P4 || do re mi fa || diatonic shuffle ||
|| **4-4-1** || **P1 M2 SM3 P4** || **do re mo fa** || found in Superpyth Major (&amp; Mixolydian, &amp; Lydian) ||
|| 4-4-1 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (&amp; Mixolydian, &amp; Lydian), diatonic shuffle ||
|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa ||   ||
|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa || chromatic shuffle ||
|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa ||   ||
|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa || chromatic shuffle ||
|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa ||   ||
|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa || chromatic shuffle ||
|| 6-1-2 || P1 m3 M3 P4 || do me mi fa ||   ||
|| 6-1-2 || P1 m3 M3 P4 || do me mi fa || chromatic shuffle ||
|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa ||   ||
|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa || chromatic shuffle ||
|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa ||   ||</pre></div>
|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa || enharmonic shuffle ||</pre></div>
<h4>Original HTML content:</h4>
<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;22edo tetrachords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Chart of all possible &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; tetrachords (28 altogether):&lt;br /&gt;
<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;22edo tetrachords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Chart of all possible &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; tetrachords (28 altogether):&lt;br /&gt;
Line 165: Line 163:
&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
Primary tetrachords in bold - tetrachords containing exactly one second and one third (16 altogether):&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;


Line 188: Line 184:
         &lt;td&gt;do di ra fa&lt;br /&gt;
         &lt;td&gt;do di ra fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;found in enharmonic genus&lt;br /&gt;
         &lt;td&gt;enharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 198: Line 194:
         &lt;td&gt;do di ru fa&lt;br /&gt;
         &lt;td&gt;do di ru fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 208: Line 204:
         &lt;td&gt;do di re fa&lt;br /&gt;
         &lt;td&gt;do di re fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;1-4-4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;1-4-4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 d2 sm3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 d2 sm3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do di ma fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do di ma fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;found in Superpyth Phrygian&lt;br /&gt;
         &lt;td&gt;found in Superpyth Phrygian, diatonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;1-5-3&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;1-5-3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 d2 m3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 d2 m3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do di me fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do di me fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;1-6-2&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;1-6-2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 d2 M3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 d2 M3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do di mi fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do di mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;1-7-1&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;1-7-1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 d2 SM3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 d2 SM3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do di mo fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do di mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;enharmonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 258: Line 254:
         &lt;td&gt;do ra ru fa&lt;br /&gt;
         &lt;td&gt;do ra ru fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 268: Line 264:
         &lt;td&gt;do ra re fa&lt;br /&gt;
         &lt;td&gt;do ra re fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;2-3-4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;2-3-4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 m2 sm3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 m2 sm3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ra ma fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ra ma fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;2-4-3&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;2-4-3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 m2 m3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 m2 m3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ra me fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ra me fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;2-5-2&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;2-5-2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 m2 M3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 m2 M3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ra mi fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ra mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;2-6-1&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;2-6-1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 m2 SM3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 m2 SM3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ra mo fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ra mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 318: Line 314:
         &lt;td&gt;do ru re fa&lt;br /&gt;
         &lt;td&gt;do ru re fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;3-2-4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;3-2-4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 N2 sm3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 N2 sm3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ru ma fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ru ma fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;3-3-3&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;3-3-3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 N2 m3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 N2 m3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ru me fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ru me fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;perfectly even tetrachord - found in Porcupine tunings&lt;br /&gt;
         &lt;td&gt;perfectly even tetrachord, found in Porcupine temperament, diatonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;3-4-2&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;3-4-2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 N2 M3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 N2 M3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ru mi fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ru mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;3-5-1&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;3-5-1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 N2 SM3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 N2 SM3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do ru mo fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do ru mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;4-1-4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;4-1-4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 M2 sm3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 M2 sm3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do re ma fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do re ma fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;found in Superpyth Minor (&amp;amp; Dorian)&lt;br /&gt;
         &lt;td&gt;found in Superpyth Minor (&amp;amp; Dorian), diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;4-2-3&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;4-2-3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 M2 m3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 M2 m3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do re me fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do re me fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;4-3-2&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;4-3-2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 M2 M3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 M2 M3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do re mi fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do re mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;strong&gt;4-4-1&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;4-4-1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;P1 M2 SM3 P4&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;P1 M2 SM3 P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;do re mo fa&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;do re mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;found in Superpyth Major (&amp;amp; Mixolydian, &amp;amp; Lydian)&lt;br /&gt;
         &lt;td&gt;found in Superpyth Major (&amp;amp; Mixolydian, &amp;amp; Lydian), diatonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 408: Line 404:
         &lt;td&gt;do ma me fa&lt;br /&gt;
         &lt;td&gt;do ma me fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 418: Line 414:
         &lt;td&gt;do ma mi fa&lt;br /&gt;
         &lt;td&gt;do ma mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 428: Line 424:
         &lt;td&gt;do ma mo fa&lt;br /&gt;
         &lt;td&gt;do ma mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 438: Line 434:
         &lt;td&gt;do me mi fa&lt;br /&gt;
         &lt;td&gt;do me mi fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 448: Line 444:
         &lt;td&gt;do me mo fa&lt;br /&gt;
         &lt;td&gt;do me mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chromatic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 458: Line 454:
         &lt;td&gt;do mi mo fa&lt;br /&gt;
         &lt;td&gt;do mi mo fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;enharmonic shuffle&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 22:10, 1 September 2009

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author guest and made on 2009-09-01 22:10:07 UTC.
The original revision id was 86717975.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Chart of all possible [[22edo]] tetrachords (28 altogether):
|| 1-1-7 || 1-2-6 || 1-3-5 || 1-4-4 || 1-5-3 || 1-6-2 || 1-7-1 ||
|| 2-1-6 || 2-2-5 || 2-3-4 || 2-4-3 || 2-5-2 || 2-6-1 ||   ||
|| 3-1-5 || 3-2-4 || 3-3-3 || 3-4-2 || 3-5-1 ||   ||   ||
|| 4-1-4 || 4-2-3 || 4-3-2 || 4-4-1 ||   ||   ||   ||
|| 5-1-3 || 5-2-2 || 5-3-1 ||   ||   ||   ||   ||
|| 6-1-2 || 6-2-1 ||   ||   ||   ||   ||   ||
|| 7-1-1 ||   ||   ||   ||   ||   ||   ||

|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes ||
|| 1-1-7 || P1 d2 m2 P4 || do di ra fa || enharmonic ||
|| 1-2-6 || P1 d2 N2 P4 || do di ru fa || chromatic ||
|| 1-3-5 || P1 d2 M2 P4 || do di re fa || chromatic ||
|| 1-4-4 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian, diatonic ||
|| 1-5-3 || P1 d2 m3 P4 || do di me fa || chromatic shuffle ||
|| 1-6-2 || P1 d2 M3 P4 || do di mi fa || chromatic shuffle ||
|| 1-7-1 || P1 d2 SM3 P4 || do di mo fa || enharmonic shuffle ||
|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa || chromatic ||
|| 2-2-5 || P1 m2 M2 P4 || do ra re fa || chromatic ||
|| 2-3-4 || P1 m2 sm3 P4 || do ra ma fa || diatonic ||
|| 2-4-3 || P1 m2 m3 P4 || do ra me fa || diatonic shuffle ||
|| 2-5-2 || P1 m2 M3 P4 || do ra mi fa || chromatic shuffle ||
|| 2-6-1 || P1 m2 SM3 P4 || do ra mo fa || chromatic shuffle ||
|| 3-1-5 || P1 N2 M2 P4 || do ru re fa || chromatic ||
|| 3-2-4 || P1 N2 sm3 P4 || do ru ma fa || diatonic ||
|| 3-3-3 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament, diatonic ||
|| 3-4-2 || P1 N2 M3 P4 || do ru mi fa || diatonic shuffle ||
|| 3-5-1 || P1 N2 SM3 P4 || do ru mo fa || chromatic ||
|| 4-1-4 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (& Dorian), diatonic shuffle ||
|| 4-2-3 || P1 M2 m3 P4 || do re me fa || diatonic shuffle ||
|| 4-3-2 || P1 M2 M3 P4 || do re mi fa || diatonic shuffle ||
|| 4-4-1 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (& Mixolydian, & Lydian), diatonic shuffle ||
|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa || chromatic shuffle ||
|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa || chromatic shuffle ||
|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa || chromatic shuffle ||
|| 6-1-2 || P1 m3 M3 P4 || do me mi fa || chromatic shuffle ||
|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa || chromatic shuffle ||
|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa || enharmonic shuffle ||

Original HTML content:

<html><head><title>22edo tetrachords</title></head><body>Chart of all possible <a class="wiki_link" href="/22edo">22edo</a> tetrachords (28 altogether):<br />


<table class="wiki_table">
    <tr>
        <td>1-1-7<br />
</td>
        <td>1-2-6<br />
</td>
        <td>1-3-5<br />
</td>
        <td>1-4-4<br />
</td>
        <td>1-5-3<br />
</td>
        <td>1-6-2<br />
</td>
        <td>1-7-1<br />
</td>
    </tr>
    <tr>
        <td>2-1-6<br />
</td>
        <td>2-2-5<br />
</td>
        <td>2-3-4<br />
</td>
        <td>2-4-3<br />
</td>
        <td>2-5-2<br />
</td>
        <td>2-6-1<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-1-5<br />
</td>
        <td>3-2-4<br />
</td>
        <td>3-3-3<br />
</td>
        <td>3-4-2<br />
</td>
        <td>3-5-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4-1-4<br />
</td>
        <td>4-2-3<br />
</td>
        <td>4-3-2<br />
</td>
        <td>4-4-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-1-3<br />
</td>
        <td>5-2-2<br />
</td>
        <td>5-3-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-1-2<br />
</td>
        <td>6-2-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7-1-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td>tetrachord notation<br />
</td>
        <td>interval names<br />
</td>
        <td><a class="wiki_link" href="/22edo%20Solfege">solfege</a><br />
</td>
        <td>notes<br />
</td>
    </tr>
    <tr>
        <td>1-1-7<br />
</td>
        <td>P1 d2 m2 P4<br />
</td>
        <td>do di ra fa<br />
</td>
        <td>enharmonic<br />
</td>
    </tr>
    <tr>
        <td>1-2-6<br />
</td>
        <td>P1 d2 N2 P4<br />
</td>
        <td>do di ru fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>1-3-5<br />
</td>
        <td>P1 d2 M2 P4<br />
</td>
        <td>do di re fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>1-4-4<br />
</td>
        <td>P1 d2 sm3 P4<br />
</td>
        <td>do di ma fa<br />
</td>
        <td>found in Superpyth Phrygian, diatonic<br />
</td>
    </tr>
    <tr>
        <td>1-5-3<br />
</td>
        <td>P1 d2 m3 P4<br />
</td>
        <td>do di me fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>1-6-2<br />
</td>
        <td>P1 d2 M3 P4<br />
</td>
        <td>do di mi fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>1-7-1<br />
</td>
        <td>P1 d2 SM3 P4<br />
</td>
        <td>do di mo fa<br />
</td>
        <td>enharmonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>2-1-6<br />
</td>
        <td>P1 m2 N2 P4<br />
</td>
        <td>do ra ru fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>2-2-5<br />
</td>
        <td>P1 m2 M2 P4<br />
</td>
        <td>do ra re fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>2-3-4<br />
</td>
        <td>P1 m2 sm3 P4<br />
</td>
        <td>do ra ma fa<br />
</td>
        <td>diatonic<br />
</td>
    </tr>
    <tr>
        <td>2-4-3<br />
</td>
        <td>P1 m2 m3 P4<br />
</td>
        <td>do ra me fa<br />
</td>
        <td>diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>2-5-2<br />
</td>
        <td>P1 m2 M3 P4<br />
</td>
        <td>do ra mi fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>2-6-1<br />
</td>
        <td>P1 m2 SM3 P4<br />
</td>
        <td>do ra mo fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>3-1-5<br />
</td>
        <td>P1 N2 M2 P4<br />
</td>
        <td>do ru re fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>3-2-4<br />
</td>
        <td>P1 N2 sm3 P4<br />
</td>
        <td>do ru ma fa<br />
</td>
        <td>diatonic<br />
</td>
    </tr>
    <tr>
        <td>3-3-3<br />
</td>
        <td>P1 N2 m3 P4<br />
</td>
        <td>do ru me fa<br />
</td>
        <td>perfectly even tetrachord, found in Porcupine temperament, diatonic<br />
</td>
    </tr>
    <tr>
        <td>3-4-2<br />
</td>
        <td>P1 N2 M3 P4<br />
</td>
        <td>do ru mi fa<br />
</td>
        <td>diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>3-5-1<br />
</td>
        <td>P1 N2 SM3 P4<br />
</td>
        <td>do ru mo fa<br />
</td>
        <td>chromatic<br />
</td>
    </tr>
    <tr>
        <td>4-1-4<br />
</td>
        <td>P1 M2 sm3 P4<br />
</td>
        <td>do re ma fa<br />
</td>
        <td>found in Superpyth Minor (&amp; Dorian), diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>4-2-3<br />
</td>
        <td>P1 M2 m3 P4<br />
</td>
        <td>do re me fa<br />
</td>
        <td>diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>4-3-2<br />
</td>
        <td>P1 M2 M3 P4<br />
</td>
        <td>do re mi fa<br />
</td>
        <td>diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>4-4-1<br />
</td>
        <td>P1 M2 SM3 P4<br />
</td>
        <td>do re mo fa<br />
</td>
        <td>found in Superpyth Major (&amp; Mixolydian, &amp; Lydian), diatonic shuffle<br />
</td>
    </tr>
    <tr>
        <td>5-1-3<br />
</td>
        <td>P1 sm3 m3 P4<br />
</td>
        <td>do ma me fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>5-2-2<br />
</td>
        <td>P1 sm3 M3 P4<br />
</td>
        <td>do ma mi fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>5-3-1<br />
</td>
        <td>P1 sm3 SM3 P4<br />
</td>
        <td>do ma mo fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>6-1-2<br />
</td>
        <td>P1 m3 M3 P4<br />
</td>
        <td>do me mi fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>6-2-1<br />
</td>
        <td>P1 m3 SM3 P4<br />
</td>
        <td>do me mo fa<br />
</td>
        <td>chromatic shuffle<br />
</td>
    </tr>
    <tr>
        <td>7-1-1<br />
</td>
        <td>P1 M3 SM3 P4<br />
</td>
        <td>do mi mo fa<br />
</td>
        <td>enharmonic shuffle<br />
</td>
    </tr>
</table>

</body></html>