https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-7-11-13-15_enaeikosany1-3-5-7-11-13-15 enaeikosany - Revision history2026-07-05T14:44:59ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-3-5-7-11-13-15_enaeikosany&diff=232205&oldid=prevYourmusic Productions: Create Page.2026-06-13T07:57:17Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-3-5-7-11-13-15_Enaeikosany.png|thumb|Circle diagram.]] [[File:1-3-5-7-11-13-15_Enaeikosany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[15-odd-limit]] [[enaeikosany]]. This creates a scale of 1 65/64 13/12 35/32 55/48 7/6 5/4 65/48 11/8 35/24 143/96 25/16 77/48 13/8 5/3 55/32 7/4 11/6 15/8 91/48 2/1, with steps of 65/64 16/15 105/104 22/21 56/55 15/14 13/12 66/65 35/33 143/140 150/143 77/75 78/77 40/39 33/32 56/55 22/21 45/44 91/90 96/91. (5/4 appears twice, reducing this to a 20 note scale.) As the simplest enaeikosany that lacks a factor of 9, this has fewer perfect fifths than any of its predecessors and they do not appear in chains apart from 5/3-5/4-15/8, which is connected through the duplicated note. It does still have 8 perfect fifths, plus additional diatonic ones flat by [[225/224]], [[144/143]] and [[105/104]], which gives you more than enough simple chords to produce consonant music, but modulation becomes more challenging when they are only connected by more xenharmonic intervals.<br />
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! 1-3-5-7-11-13-15_Enaeikosany.scl<br />
!<br />
1 3 5 7 11 13 15 2-combination Enaeikosany<br />
19<br />
!<br />
26.841<br />
138.572<br />
155.139<br />
235.676<br />
266.871<br />
386.313<br />
524.886<br />
551.317<br />
653.184<br />
689.890<br />
772.627<br />
818.188<br />
840.527<br />
884.358<br />
937.631<br />
968.825<br />
1049.362<br />
1088.268<br />
1107.398<br />
1200<br />
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[[Category:Enaeikosanies]]<br />
[[Category:20-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions