https://en.xen.wiki/index.php?action=history&feed=atom&title=1-7-9-11-13-15_pentadekany1-7-9-11-13-15 pentadekany - Revision history2026-08-22T12:58:58ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-7-9-11-13-15_pentadekany&diff=234303&oldid=prevYourmusic Productions: Fix math error.2026-07-17T18:25:42Z<p>Fix math error.</p>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:1-7-9-11-13-15_Pentadekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 117/112 15/14 9/8 135/112 143/112 9/7 11/8 165/112 11/7 13/8 195/112 99/56 13/7 15/8 2/1, with steps of 117/112 40/39 21/20 15/14 143/135 144/143 77/72 15/14 16/15 91/88 66/65 104/99 105/104 16/15. This has no perfect fifths, with the closest approximation being the 5 cent sharp one above 117/112, giving you only one fairly stable rooting point. As it also has three comma steps that blur into their neighbours, it is not particularly optimal for its size melodically either, making this one only of interest to hardcore lovers of xenharmonic sounds.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:1-7-9-11-13-15_Pentadekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 117/112 15/14 9/8 135/112 143/112 9/7 11/8 165/112 11/7 13/8 195/112 99/56 13/7 15/8 2/1, with steps of 117/112 40/39 21/20 15/14 143/135 144/143 77/72 15/14 16/15 91/88 <ins style="font-weight: bold; text-decoration: none;">15/14 </ins>66/65 104/99 105/104 16/15. This has no perfect fifths, with the closest approximation being the 5 cent sharp one above 117/112, giving you only one fairly stable rooting point. As it also has three comma steps that blur into their neighbours, it is not particularly optimal for its size melodically either, making this one only of interest to hardcore lovers of xenharmonic sounds.</div></td></tr>
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</table>Yourmusic Productionshttps://en.xen.wiki/index.php?title=1-7-9-11-13-15_pentadekany&diff=226041&oldid=prevYourmusic Productions: Create Page.2026-03-14T10:41:43Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-7-9-11-13-15_Pentadekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 117/112 15/14 9/8 135/112 143/112 9/7 11/8 165/112 11/7 13/8 195/112 99/56 13/7 15/8 2/1, with steps of 117/112 40/39 21/20 15/14 143/135 144/143 77/72 15/14 16/15 91/88 66/65 104/99 105/104 16/15. This has no perfect fifths, with the closest approximation being the 5 cent sharp one above 117/112, giving you only one fairly stable rooting point. As it also has three comma steps that blur into their neighbours, it is not particularly optimal for its size melodically either, making this one only of interest to hardcore lovers of xenharmonic sounds.<br />
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<pre><br />
! 1-7-9-11-13-15_Pentadekany.scl<br />
!<br />
1 7 9 11 13 15 2-combination Pentadekany<br />
15<br />
!<br />
75.611<br />
119.442<br />
203.910<br />
323.352<br />
423.019<br />
435.084<br />
551.317<br />
670.760<br />
782.492<br />
840.527<br />
959.970<br />
986.402<br />
1071.701<br />
1088.268<br />
1200<br />
</pre><br />
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[[Category:Pentadekanies]]<br />
[[Category:15-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions