https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-9-13_by_3%2F2_bihexany 2026-07-28T23:38:48Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-5-9-13_by_3/2_bihexany&diff=212027&oldid=prev 2025-10-05T09:01:13Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 09:01, 5 October 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <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>A [[13-limit]] [[bihexany]]. This creates a scale of 1 351/320 9/8 39/32 13/10 27/20 117/80 3/2 13/8 27/16 9/5 39/20 2/1, with steps of 351/320 40/39 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15 13/12 40/39. While sharp-trending, this does map unambiguously to a 12-tone keyboard and no notes are smaller than a fifth-tone, making all the steps melodically usable, and 8 of the notes have a 3/2 above them to create stable chords with, a few of which also have [[5-limit]] major or minor chords, giving it a wide selection of both familiar and xenharmonic harmonies.</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><ins style="font-weight: bold; text-decoration: none;">[[File:Bihexany 1 5 9 13 by 3over2.png|thumb|Circle diagram.]] </ins>A [[13-limit]] [[bihexany]]. This creates a scale of 1 351/320 9/8 39/32 13/10 27/20 117/80 3/2 13/8 27/16 9/5 39/20 2/1, with steps of 351/320 40/39 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15 13/12 40/39. While sharp-trending, this does map unambiguously to a 12-tone keyboard and no notes are smaller than a fifth-tone, making all the steps melodically usable, and 8 of the notes have a 3/2 above them to create stable chords with, a few of which also have [[5-limit]] major or minor chords, giving it a wide selection of both familiar and xenharmonic harmonies.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;pre&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;pre&gt;</div></td></tr> </table>

BudjarnLambeth https://en.xen.wiki/index.php?title=1-5-9-13_by_3/2_bihexany&diff=210943&oldid=prev 2025-09-26T10:26:12Z

<p>Elaborating on the basic 1 5 9 13 hexany as a demonstration.</p> <p><b>New page</b></p><div>A [[13-limit]] [[bihexany]]. This creates a scale of 1 351/320 9/8 39/32 13/10 27/20 117/80 3/2 13/8 27/16 9/5 39/20 2/1, with steps of 351/320 40/39 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15 13/12 40/39. While sharp-trending, this does map unambiguously to a 12-tone keyboard and no notes are smaller than a fifth-tone, making all the steps melodically usable, and 8 of the notes have a 3/2 above them to create stable chords with, a few of which also have [[5-limit]] major or minor chords, giving it a wide selection of both familiar and xenharmonic harmonies.<br /> <br /> &lt;pre&gt;<br /> ! 1-5-9-13_by_3/2_Bihexany.scl<br /> !<br /> 1 5 9 13 by 3/2 2-combination Bihexany<br /> 12<br /> !<br /> 160.078<br /> 203.910<br /> 342.482<br /> 454.213<br /> 519.551<br /> 658.123<br /> 701.955<br /> 840.527<br /> 905.865<br /> 1017.596<br /> 1156.168<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> <br /> [[Category:Hexanies]]<br /> [[Category:12-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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