https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-7-9-11-13_enaeikosany1-3-5-7-9-11-13 enaeikosany - Revision history2026-07-11T23:13:19ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-3-5-7-9-11-13_enaeikosany&diff=231886&oldid=prevYourmusic Productions: Start on the next step up in complexity.2026-06-07T10:19:21Z<p>Start on the next step up in complexity.</p>
<p><b>New page</b></p><div>[[File:1-3-5-7-9-11-13_Enaeikosany.png|thumb|Circle diagram.]] The simplest possible [[enaeikosany]], comprised of two-combination sum products of the first 7 odd numbers. This creates a scale of 1 33/32 13/12 9/8 55/48 7/6 39/32 5/4 21/16 65/48 11/8 35/24 143/96 3/2 77/48 13/8 5/3 7/4 11/6 15/8 91/48 2/1, with steps of 33/32 104/99 27/26 55/54 56/55 117/112 40/39 21/20 65/63 66/65 35/33 143/140 144/143 77/72 78/77 40/39 21/20 22/21 45/44 91/90 96/91. With 10 perfect fifths and several others in the diatonic range, this gives you more than enough options to work with to produce both simple consonant chord sequences and more dissonant ones, but has quite uneven step sizes, with a ratio of nearly 10:1 between the largest and smallest one.<br />
<br />
<pre><br />
! 1-3-5-7-9-11-13_Enaeikosany.scl<br />
!<br />
1 3 5 7 9 11 13 2-combination Enaeikosany<br />
21<br />
!<br />
53.272<br />
138.572<br />
203.910<br />
235.676<br />
266.871<br />
342.482<br />
386.313<br />
470.781<br />
524.886<br />
551.317<br />
653.184<br />
689.890<br />
701.955<br />
818.188<br />
840.527<br />
884.358<br />
968.825<br />
1049.362<br />
1088.268<br />
1107.398<br />
1200<br />
</pre><br />
<br />
[[Category:Enaeikosanies]]<br />
[[Category:21-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions