https://en.xen.wiki/index.php?action=history&feed=atom&title=3-9-25-625_stellated_hexany3-9-25-625 stellated hexany - Revision history2026-07-03T13:55:17ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=3-9-25-625_stellated_hexany&diff=225342&oldid=prevYourmusic Productions: Create Page.2026-03-07T23:35:32Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:3-9-25-625_Stellated_Hexany.png|thumb|Circle diagram.]] A complex [[5-limit]] stellated [[hexany]]. This creates a scale of 1 25/24 9/8 75/64 625/512 15625/12288 5625/4096 46875/32768 3/2 25/16 625/384 225/128 1875/1024 15625/8192 2/1, with steps of 25/24 27/25 25/24 25/24 25/24 27/25 25/24 16384/15625 25/24 25/24 27/25 25/24 25/25 16384/15625. This is a neat and highly unambiguous detemper of the 14 note mos scale of [[squares]], with only three step sizes and a ratio between the large & small steps of slightly less than 2:1. Despite being comprised entirely of 5-limit intervals, it has no major thirds, but approximates 11/8 & 13/8 within 3 cents and 7/4 within 8, which demonstrates just how efficient this temperament is at approximating a substantial subset of just intonation when properly optimised. With 10 perfect fifths, you have plenty of freedom to construct chords all around the scale, although the lack of familiar thirds may be disorienting until you figure out how to use the excellent consonances that are available.<br />
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<pre><br />
! 3-9-25-625-Stellated_Hexany.scl<br />
!<br />
3 9 25 625 1-3-combination Hexany<br />
14<br />
!<br />
70.672<br />
203.910<br />
274.582<br />
345.254<br />
415.927<br />
549.164<br />
619.883<br />
701.955<br />
772.627<br />
843.299<br />
976.537<br />
1047.209<br />
1117.882<br />
1200<br />
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[[Category:Hexanies]]<br />
[[Category:14-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions