22edo tetrachords: Difference between revisions

Revision as of 01:35, 2 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 2009-09-02 01:35:14 UTC.

The original revision id was 86746159.

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 details:
|| tetrachord notation || steps in cents || interval names || [[22edo Solfege|solfege]] || notes ||
|| 1-1-7 || 55 + 55 + 382 || P1 d2 m2 P4 || do di ra fa ||   ||
|| 1-2-6 || 55 + 109 + 327 || P1 d2 N2 P4 || do di ru fa ||   ||
|| 1-3-5 || 55 + 164 + 273 || P1 d2 M2 P4 || do di re fa ||   ||
|| 1-4-4 || 55 + 218 + 218 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian ||
|| 1-5-3 || 55 + 273 + 164 || P1 d2 m3 P4 || do di me fa ||   ||
|| 1-6-2 || 55 + 327 + 109 || P1 d2 M3 P4 || do di mi fa ||   ||
|| 1-7-1 || 55 + 382 + 55 || P1 d2 SM3 P4 || do di mo fa ||   ||
|| 2-1-6 || 109 + 55 + 327 || P1 m2 N2 P4 || do ra ru fa ||   ||
|| 2-2-5 || 109 + 109 + 273 || P1 m2 M2 P4 || do ra re fa ||   ||
|| 2-3-4 || 109 + 164 + 218 || P1 m2 sm3 P4 || do ra ma fa ||   ||
|| 2-4-3 || 109 + 218 +165 || P1 m2 m3 P4 || do ra me fa ||   ||
|| 2-5-2 || 109 + 273 + 109 || P1 m2 M3 P4 || do ra mi fa ||   ||
|| 2-6-1 || 109 + 327 + 55 || P1 m2 SM3 P4 || do ra mo fa ||   ||
|| 3-1-5 || 164 + 55 + 273 || P1 N2 M2 P4 || do ru re fa ||   ||
|| 3-2-4 || 164 + 109 + 218 || P1 N2 sm3 P4 || do ru ma fa ||   ||
|| 3-3-3 || 164 + 164 +164 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament ||
|| 3-4-2 || 164 + 218 + 109 || P1 N2 M3 P4 || do ru mi fa ||   ||
|| 3-5-1 || 164 + 273 + 55 || P1 N2 SM3 P4 || do ru mo fa ||   ||
|| 4-1-4 || 218 + 55 + 218 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (& Dorian) ||
|| 4-2-3 || 218 + 109 + 164 || P1 M2 m3 P4 || do re me fa ||   ||
|| 4-3-2 || 218 + 164 + 109 || P1 M2 M3 P4 || do re mi fa ||   ||
|| 4-4-1 || 218 + 218 + 55 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (& Mixolydian, & Lydian) ||
|| 5-1-3 || 273 + 55 + 164 || P1 sm3 m3 P4 || do ma me fa ||   ||
|| 5-2-2 || 273 + 109 + 109 || P1 sm3 M3 P4 || do ma mi fa ||   ||
|| 5-3-1 || 273 + 164 + 55 || P1 sm3 SM3 P4 || do ma mo fa ||   ||
|| 6-1-2 || 327 + 55 + 109 || P1 m3 M3 P4 || do me mi fa ||   ||
|| 6-2-1 || 327 + 109 + 55 || P1 m3 SM3 P4 || do me mo fa ||   ||
|| 7-1-1 || 382 + 55 + 55 || P1 M3 SM3 P4 || do mi mo fa || <span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"> </span> ||

Tetrachords in families:
||= sML || MsL || sLM || MLs || LsM || LMs || genus || name(s) / notes ||
||||= 1-1-7 ||||= 1-7-1 ||||= 7-1-1 || enharmonic ||   ||
|| 1-2-6 || 2-1-6 || 1-6-2 || 2-6-1 || 6-1-2 || 6-2-1 || chromatic ||   ||
|| 1-3-5 || 3-1-5 || 1-5-3 || 3-5-1 || 5-1-3 || 5-3-1 || chromatic ||   ||
||||= 2-2-5 ||||= 2-5-2 ||||= 5-2-2 || chromatic ||   ||
|| 2-3-4 || 3-2-4 || 2-4-3 || 3-4-2 || 4-2-3 || 4-3-2 || diatonic || similar in function to JI tetrachord 16/15 • 9/8 • 10/9, but altered ||
||||= 1-1-4 ||||= 1-4-1 ||||= 4-1-1 || diatonic || SuperPyth ||
||||||||||||= 3-3-3 || diatonic || Porcupine ||

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 />
Tetrachord details:<br />


<table class="wiki_table">
    <tr>
        <td>tetrachord notation<br />
</td>
        <td>steps in cents<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>55 + 55 + 382<br />
</td>
        <td>P1 d2 m2 P4<br />
</td>
        <td>do di ra fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-2-6<br />
</td>
        <td>55 + 109 + 327<br />
</td>
        <td>P1 d2 N2 P4<br />
</td>
        <td>do di ru fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-3-5<br />
</td>
        <td>55 + 164 + 273<br />
</td>
        <td>P1 d2 M2 P4<br />
</td>
        <td>do di re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-4-4<br />
</td>
        <td>55 + 218 + 218<br />
</td>
        <td>P1 d2 sm3 P4<br />
</td>
        <td>do di ma fa<br />
</td>
        <td>found in Superpyth Phrygian<br />
</td>
    </tr>
    <tr>
        <td>1-5-3<br />
</td>
        <td>55 + 273 + 164<br />
</td>
        <td>P1 d2 m3 P4<br />
</td>
        <td>do di me fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-6-2<br />
</td>
        <td>55 + 327 + 109<br />
</td>
        <td>P1 d2 M3 P4<br />
</td>
        <td>do di mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-7-1<br />
</td>
        <td>55 + 382 + 55<br />
</td>
        <td>P1 d2 SM3 P4<br />
</td>
        <td>do di mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-1-6<br />
</td>
        <td>109 + 55 + 327<br />
</td>
        <td>P1 m2 N2 P4<br />
</td>
        <td>do ra ru fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-2-5<br />
</td>
        <td>109 + 109 + 273<br />
</td>
        <td>P1 m2 M2 P4<br />
</td>
        <td>do ra re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-3-4<br />
</td>
        <td>109 + 164 + 218<br />
</td>
        <td>P1 m2 sm3 P4<br />
</td>
        <td>do ra ma fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-4-3<br />
</td>
        <td>109 + 218 +165<br />
</td>
        <td>P1 m2 m3 P4<br />
</td>
        <td>do ra me fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-5-2<br />
</td>
        <td>109 + 273 + 109<br />
</td>
        <td>P1 m2 M3 P4<br />
</td>
        <td>do ra mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-6-1<br />
</td>
        <td>109 + 327 + 55<br />
</td>
        <td>P1 m2 SM3 P4<br />
</td>
        <td>do ra mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-1-5<br />
</td>
        <td>164 + 55 + 273<br />
</td>
        <td>P1 N2 M2 P4<br />
</td>
        <td>do ru re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-2-4<br />
</td>
        <td>164 + 109 + 218<br />
</td>
        <td>P1 N2 sm3 P4<br />
</td>
        <td>do ru ma fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-3-3<br />
</td>
        <td>164 + 164 +164<br />
</td>
        <td>P1 N2 m3 P4<br />
</td>
        <td>do ru me fa<br />
</td>
        <td>perfectly even tetrachord, found in Porcupine temperament<br />
</td>
    </tr>
    <tr>
        <td>3-4-2<br />
</td>
        <td>164 + 218 + 109<br />
</td>
        <td>P1 N2 M3 P4<br />
</td>
        <td>do ru mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-5-1<br />
</td>
        <td>164 + 273 + 55<br />
</td>
        <td>P1 N2 SM3 P4<br />
</td>
        <td>do ru mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4-1-4<br />
</td>
        <td>218 + 55 + 218<br />
</td>
        <td>P1 M2 sm3 P4<br />
</td>
        <td>do re ma fa<br />
</td>
        <td>found in Superpyth Minor (&amp; Dorian)<br />
</td>
    </tr>
    <tr>
        <td>4-2-3<br />
</td>
        <td>218 + 109 + 164<br />
</td>
        <td>P1 M2 m3 P4<br />
</td>
        <td>do re me fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4-3-2<br />
</td>
        <td>218 + 164 + 109<br />
</td>
        <td>P1 M2 M3 P4<br />
</td>
        <td>do re mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4-4-1<br />
</td>
        <td>218 + 218 + 55<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)<br />
</td>
    </tr>
    <tr>
        <td>5-1-3<br />
</td>
        <td>273 + 55 + 164<br />
</td>
        <td>P1 sm3 m3 P4<br />
</td>
        <td>do ma me fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-2-2<br />
</td>
        <td>273 + 109 + 109<br />
</td>
        <td>P1 sm3 M3 P4<br />
</td>
        <td>do ma mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-3-1<br />
</td>
        <td>273 + 164 + 55<br />
</td>
        <td>P1 sm3 SM3 P4<br />
</td>
        <td>do ma mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-1-2<br />
</td>
        <td>327 + 55 + 109<br />
</td>
        <td>P1 m3 M3 P4<br />
</td>
        <td>do me mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-2-1<br />
</td>
        <td>327 + 109 + 55<br />
</td>
        <td>P1 m3 SM3 P4<br />
</td>
        <td>do me mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7-1-1<br />
</td>
        <td>382 + 55 + 55<br />
</td>
        <td>P1 M3 SM3 P4<br />
</td>
        <td>do mi mo fa<br />
</td>
        <td><span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"> </span><br />
</td>
    </tr>
</table>

<br />
Tetrachords in families:<br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">sML<br />
</td>
        <td>MsL<br />
</td>
        <td>sLM<br />
</td>
        <td>MLs<br />
</td>
        <td>LsM<br />
</td>
        <td>LMs<br />
</td>
        <td>genus<br />
</td>
        <td>name(s) / notes<br />
</td>
    </tr>
    <tr>
        <td colspan="2" style="text-align: center;">1-1-7<br />
</td>
        <td colspan="2" style="text-align: center;">1-7-1<br />
</td>
        <td colspan="2" style="text-align: center;">7-1-1<br />
</td>
        <td>enharmonic<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-2-6<br />
</td>
        <td>2-1-6<br />
</td>
        <td>1-6-2<br />
</td>
        <td>2-6-1<br />
</td>
        <td>6-1-2<br />
</td>
        <td>6-2-1<br />
</td>
        <td>chromatic<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-3-5<br />
</td>
        <td>3-1-5<br />
</td>
        <td>1-5-3<br />
</td>
        <td>3-5-1<br />
</td>
        <td>5-1-3<br />
</td>
        <td>5-3-1<br />
</td>
        <td>chromatic<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td colspan="2" style="text-align: center;">2-2-5<br />
</td>
        <td colspan="2" style="text-align: center;">2-5-2<br />
</td>
        <td colspan="2" style="text-align: center;">5-2-2<br />
</td>
        <td>chromatic<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-3-4<br />
</td>
        <td>3-2-4<br />
</td>
        <td>2-4-3<br />
</td>
        <td>3-4-2<br />
</td>
        <td>4-2-3<br />
</td>
        <td>4-3-2<br />
</td>
        <td>diatonic<br />
</td>
        <td>similar in function to JI tetrachord 16/15 • 9/8 • 10/9, but altered<br />
</td>
    </tr>
    <tr>
        <td colspan="2" style="text-align: center;">1-1-4<br />
</td>
        <td colspan="2" style="text-align: center;">1-4-1<br />
</td>
        <td colspan="2" style="text-align: center;">4-1-1<br />
</td>
        <td>diatonic<br />
</td>
        <td>SuperPyth<br />
</td>
    </tr>
    <tr>
        <td colspan="6" style="text-align: center;">3-3-3<br />
</td>
        <td>diatonic<br />
</td>
        <td>Porcupine<br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:guest|guest]] and made on <tt>2009-09-02 01:18:30 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2009-09-02 01:35:14 UTC</tt>.<br>
-: The original revision id was <tt>86744681</tt>.<br>
+: The original revision id was <tt>86746159</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>
@@ Line 16: / Line 16: @@
 Tetrachord details:
-|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes ||
+|| tetrachord notation || steps in cents || interval names || [[22edo Solfege|solfege]] || notes ||
-|| 1-1-7 || P1 d2 m2 P4 || do di ra fa || enharmonic ||
+|| 1-1-7 || 55 + 55 + 382 || P1 d2 m2 P4 || do di ra fa ||   ||
-|| 1-2-6 || P1 d2 N2 P4 || do di ru fa || chromatic ||
+|| 1-2-6 || 55 + 109 + 327 || P1 d2 N2 P4 || do di ru fa ||   ||
-|| 1-3-5 || P1 d2 M2 P4 || do di re fa || intense chromatic ||
+|| 1-3-5 || 55 + 164 + 273 || P1 d2 M2 P4 || do di re fa ||   ||
-|| 1-4-4 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian, diatonic ||
+|| 1-4-4 || 55 + 218 + 218 || P1 d2 sm3 P4 || do di ma fa || found in Superpyth Phrygian ||
-|| 1-5-3 || P1 d2 m3 P4 || do di me fa || intense chromatic shuffle ||
+|| 1-5-3 || 55 + 273 + 164 || P1 d2 m3 P4 || do di me fa ||   ||
-|| 1-6-2 || P1 d2 M3 P4 || do di mi fa || chromatic shuffle ||
+|| 1-6-2 || 55 + 327 + 109 || P1 d2 M3 P4 || do di mi fa ||   ||
-|| 1-7-1 || P1 d2 SM3 P4 || do di mo fa || enharmonic shuffle ||
+|| 1-7-1 || 55 + 382 + 55 || P1 d2 SM3 P4 || do di mo fa ||   ||
-|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa || chromatic ||
+|| 2-1-6 || 109 + 55 + 327 || P1 m2 N2 P4 || do ra ru fa ||   ||
-|| 2-2-5 || P1 m2 M2 P4 || do ra re fa || intense chromatic ||
+|| 2-2-5 || 109 + 109 + 273 || P1 m2 M2 P4 || do ra re fa ||   ||
-|| 2-3-4 || P1 m2 sm3 P4 || do ra ma fa || diatonic ||
+|| 2-3-4 || 109 + 164 + 218 || P1 m2 sm3 P4 || do ra ma fa ||   ||
-|| 2-4-3 || P1 m2 m3 P4 || do ra me fa || diatonic shuffle ||
+|| 2-4-3 || 109 + 218 +165 || P1 m2 m3 P4 || do ra me fa ||   ||
-|| 2-5-2 || P1 m2 M3 P4 || do ra mi fa || intense chromatic shuffle ||
+|| 2-5-2 || 109 + 273 + 109 || P1 m2 M3 P4 || do ra mi fa ||   ||
-|| 2-6-1 || P1 m2 SM3 P4 || do ra mo fa || chromatic shuffle ||
+|| 2-6-1 || 109 + 327 + 55 || P1 m2 SM3 P4 || do ra mo fa ||   ||
-|| 3-1-5 || P1 N2 M2 P4 || do ru re fa || intense chromatic ||
+|| 3-1-5 || 164 + 55 + 273 || P1 N2 M2 P4 || do ru re fa ||   ||
-|| 3-2-4 || P1 N2 sm3 P4 || do ru ma fa || diatonic ||
+|| 3-2-4 || 164 + 109 + 218 || P1 N2 sm3 P4 || do ru ma fa ||   ||
-|| 3-3-3 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament, diatonic ||
+|| 3-3-3 || 164 + 164 +164 || P1 N2 m3 P4 || do ru me fa || perfectly even tetrachord, found in Porcupine temperament ||
-|| 3-4-2 || P1 N2 M3 P4 || do ru mi fa || diatonic shuffle ||
+|| 3-4-2 || 164 + 218 + 109 || P1 N2 M3 P4 || do ru mi fa ||   ||
-|| 3-5-1 || P1 N2 SM3 P4 || do ru mo fa || intense chromatic ||
+|| 3-5-1 || 164 + 273 + 55 || P1 N2 SM3 P4 || do ru mo fa ||   ||
-|| 4-1-4 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (&amp; Dorian), diatonic shuffle ||
+|| 4-1-4 || 218 + 55 + 218 || P1 M2 sm3 P4 || do re ma fa || found in Superpyth Minor (&amp; Dorian) ||
-|| 4-2-3 || P1 M2 m3 P4 || do re me fa || diatonic shuffle ||
+|| 4-2-3 || 218 + 109 + 164 || P1 M2 m3 P4 || do re me fa ||   ||
-|| 4-3-2 || P1 M2 M3 P4 || do re mi fa || diatonic shuffle ||
+|| 4-3-2 || 218 + 164 + 109 || P1 M2 M3 P4 || do re mi fa ||   ||
-|| 4-4-1 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (&amp; Mixolydian, &amp; Lydian), diatonic shuffle ||
+|| 4-4-1 || 218 + 218 + 55 || P1 M2 SM3 P4 || do re mo fa || found in Superpyth Major (&amp; Mixolydian, &amp; Lydian) ||
-|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa || intense chromatic shuffle ||
+|| 5-1-3 || 273 + 55 + 164 || P1 sm3 m3 P4 || do ma me fa ||   ||
-|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa || intense chromatic shuffle ||
+|| 5-2-2 || 273 + 109 + 109 || P1 sm3 M3 P4 || do ma mi fa ||   ||
-|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa || intense chromatic shuffle ||
+|| 5-3-1 || 273 + 164 + 55 || P1 sm3 SM3 P4 || do ma mo fa ||   ||
-|| 6-1-2 || P1 m3 M3 P4 || do me mi fa || chromatic shuffle ||
+|| 6-1-2 || 327 + 55 + 109 || P1 m3 M3 P4 || do me mi fa ||   ||
-|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa || chromatic shuffle ||
+|| 6-2-1 || 327 + 109 + 55 || P1 m3 SM3 P4 || do me mo fa ||   ||
-|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa || enharmonic shuffle ||
+|| 7-1-1 || 382 + 55 + 55 || P1 M3 SM3 P4 || do mi mo fa || &lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"&gt; &lt;/span&gt; ||
 Tetrachords in families:
@@ Line 181: / Line 181: @@
      &lt;tr&gt;
          &lt;td&gt;tetrachord notation&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;steps in cents&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;interval names&lt;br /&gt;
@@ Line 191: / Line 193: @@
      &lt;tr&gt;
          &lt;td&gt;1-1-7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 55 + 382&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 m2 P4&lt;br /&gt;
@@ Line 196: / Line 200: @@
          &lt;td&gt;do di ra fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;enharmonic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-2-6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 109 + 327&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 N2 P4&lt;br /&gt;
@@ Line 206: / Line 212: @@
          &lt;td&gt;do di ru fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-3-5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 164 + 273&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 M2 P4&lt;br /&gt;
@@ Line 216: / Line 224: @@
          &lt;td&gt;do di re fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-4-4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 218 + 218&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 sm3 P4&lt;br /&gt;
@@ Line 226: / Line 236: @@
          &lt;td&gt;do di ma fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;found in Superpyth Phrygian, diatonic&lt;br /&gt;
+         &lt;td&gt;found in Superpyth Phrygian&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-5-3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 273 + 164&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 m3 P4&lt;br /&gt;
@@ Line 236: / Line 248: @@
          &lt;td&gt;do di me fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-6-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 327 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 M3 P4&lt;br /&gt;
@@ Line 246: / Line 260: @@
          &lt;td&gt;do di mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;1-7-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;55 + 382 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 d2 SM3 P4&lt;br /&gt;
@@ Line 256: / Line 272: @@
          &lt;td&gt;do di mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;enharmonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-1-6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 55 + 327&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 N2 P4&lt;br /&gt;
@@ Line 266: / Line 284: @@
          &lt;td&gt;do ra ru fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-2-5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 109 + 273&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 M2 P4&lt;br /&gt;
@@ Line 276: / Line 296: @@
          &lt;td&gt;do ra re fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-3-4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 164 + 218&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 sm3 P4&lt;br /&gt;
@@ Line 286: / Line 308: @@
          &lt;td&gt;do ra ma fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-4-3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 218 +165&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 m3 P4&lt;br /&gt;
@@ Line 296: / Line 320: @@
          &lt;td&gt;do ra me fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-5-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 273 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 M3 P4&lt;br /&gt;
@@ Line 306: / Line 332: @@
          &lt;td&gt;do ra mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;2-6-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109 + 327 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m2 SM3 P4&lt;br /&gt;
@@ Line 316: / Line 344: @@
          &lt;td&gt;do ra mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;3-1-5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164 + 55 + 273&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 N2 M2 P4&lt;br /&gt;
@@ Line 326: / Line 356: @@
          &lt;td&gt;do ru re fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;3-2-4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164 + 109 + 218&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 N2 sm3 P4&lt;br /&gt;
@@ Line 336: / Line 368: @@
          &lt;td&gt;do ru ma fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;3-3-3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164 + 164 +164&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 N2 m3 P4&lt;br /&gt;
@@ Line 346: / Line 380: @@
          &lt;td&gt;do ru me fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;perfectly even tetrachord, found in Porcupine temperament, diatonic&lt;br /&gt;
+         &lt;td&gt;perfectly even tetrachord, found in Porcupine temperament&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;3-4-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164 + 218 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 N2 M3 P4&lt;br /&gt;
@@ Line 356: / Line 392: @@
          &lt;td&gt;do ru mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;3-5-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164 + 273 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 N2 SM3 P4&lt;br /&gt;
@@ Line 366: / Line 404: @@
          &lt;td&gt;do ru mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;4-1-4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;218 + 55 + 218&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 M2 sm3 P4&lt;br /&gt;
@@ Line 376: / Line 416: @@
          &lt;td&gt;do re ma fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;found in Superpyth Minor (&amp;amp; Dorian), diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;found in Superpyth Minor (&amp;amp; Dorian)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;4-2-3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;218 + 109 + 164&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 M2 m3 P4&lt;br /&gt;
@@ Line 386: / Line 428: @@
          &lt;td&gt;do re me fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;4-3-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;218 + 164 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 M2 M3 P4&lt;br /&gt;
@@ Line 396: / Line 440: @@
          &lt;td&gt;do re mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;4-4-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;218 + 218 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 M2 SM3 P4&lt;br /&gt;
@@ Line 406: / Line 452: @@
          &lt;td&gt;do re mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;found in Superpyth Major (&amp;amp; Mixolydian, &amp;amp; Lydian), diatonic shuffle&lt;br /&gt;
+         &lt;td&gt;found in Superpyth Major (&amp;amp; Mixolydian, &amp;amp; Lydian)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;5-1-3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;273 + 55 + 164&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 sm3 m3 P4&lt;br /&gt;
@@ Line 416: / Line 464: @@
          &lt;td&gt;do ma me fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;5-2-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;273 + 109 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 sm3 M3 P4&lt;br /&gt;
@@ Line 426: / Line 476: @@
          &lt;td&gt;do ma mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;5-3-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;273 + 164 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 sm3 SM3 P4&lt;br /&gt;
@@ Line 436: / Line 488: @@
          &lt;td&gt;do ma mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;intense chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;6-1-2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;327 + 55 + 109&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m3 M3 P4&lt;br /&gt;
@@ Line 446: / Line 500: @@
          &lt;td&gt;do me mi fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;6-2-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;327 + 109 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 m3 SM3 P4&lt;br /&gt;
@@ Line 456: / Line 512: @@
          &lt;td&gt;do me mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;chromatic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;7-1-1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;382 + 55 + 55&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;P1 M3 SM3 P4&lt;br /&gt;
@@ Line 466: / Line 524: @@
          &lt;td&gt;do mi mo fa&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;enharmonic shuffle&lt;br /&gt;
+         &lt;td&gt;&lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"&gt; &lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

22edo tetrachords: Difference between revisions

Revision as of 01:35, 2 September 2009

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