17edo tetrachords: Difference between revisions

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-04-29 15:52:49 UTC</tt>.<br>

: The original revision id was <tt>70461943</tt>.<br>

<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">A "17edo tetrachord," for the purposes of this naming system, will mean a set of four pitches in [[17edo]] that span a perfect fourth (seven degrees) and include one of each of these:

# 'The unison' in 17edo means 0 (degrees of 17edo) and has the solfege name 'do'.

# 'Seconds' in 17edo include 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).

# 'Thirds' in 17edo include 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).

# 'The perfect fourth' in 17edo means 7 (fa).

===Correspondance:===  

===Tetrachord notation===  

Tetrachord notation will show three steps (as degrees of 17edo) separated by hyphens.

0 (do), the unison, a given;

3 (re), a note 3 degrees up from 0 (do), a second;

6 (mi), a note 3 degrees up from 3 (mi), a third; and

7 (fa), the perfect fourth.

===The tetrachords===  

|| mi || 1-5-1 || 2-4-1 || 3-3-1 ||</pre></div>

<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;17edo tetrachords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &amp;quot;17edo tetrachord,&amp;quot; for the purposes of this naming system, will mean a set of four pitches in &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt; that span a perfect fourth (seven degrees) and include one of each of these:&lt;br /&gt;

&lt;ol&gt;&lt;li&gt;'The unison' in 17edo means 0 (degrees of 17edo) and has the solfege name 'do'.&lt;/li&gt;&lt;li&gt;'Seconds' in 17edo include 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).&lt;/li&gt;&lt;li&gt;'Thirds' in 17edo include 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).&lt;/li&gt;&lt;li&gt;'The perfect fourth' in 17edo means 7 (fa).&lt;/li&gt;&lt;/ol&gt;&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Correspondance:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Correspondance:&lt;/h3&gt;

&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Tetrachord notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrachord notation&lt;/h3&gt;

Tetrachord notation will show three steps (as degrees of 17edo) separated by hyphens.&lt;br /&gt;

0 (do), the unison, a given;&lt;br /&gt;

3 (re), a note 3 degrees up from 0 (do), a second;&lt;br /&gt;

6 (mi), a note 3 degrees up from 3 (mi), a third; and&lt;br /&gt;

7 (fa), the perfect fourth.&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x--The tetrachords"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;The tetrachords&lt;/h3&gt;