https://en.xen.wiki/index.php?action=history&feed=atom&title=1-9-11-17_by_24%2F17_bihexany 2026-11-04T15:59:59Z Revision history for this page on the wiki MediaWiki 1.46.2 https://en.xen.wiki/index.php?title=1-9-11-17_by_24/17_bihexany&diff=240845&oldid=prev 2026-10-30T10:11:09Z

<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 10:11, 30 October 2026</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>[[File:1-9-11-17_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the [[1-9-11-17_hexany|base hexany]] out in a way that maximises its melodic utility, <del style="font-weight: bold; text-decoration: none;">wile </del>also being fairly decent harmonically as well, with 4 perfect fifths and another 4 that are out by [[289/288]], giving you a decent number of places to build stable chords even if there are no simple 5-limit ones.</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:1-9-11-17_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the [[1-9-11-17_hexany|base hexany]] out in a way that maximises its melodic utility, <ins style="font-weight: bold; text-decoration: none;">while </ins>also being fairly decent harmonically as well, with 4 perfect fifths and another 4 that are out by [[289/288]], giving you a decent number of places to build stable chords even if there are no simple 5-limit ones.</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=1-9-11-17_by_24/17_bihexany&diff=240832&oldid=prev 2026-10-30T08:46:21Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-9-11-17_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the [[1-9-11-17_hexany|base hexany]] out in a way that maximises its melodic utility, wile also being fairly decent harmonically as well, with 4 perfect fifths and another 4 that are out by [[289/288]], giving you a decent number of places to build stable chords even if there are no simple 5-limit ones.<br /> <br /> &lt;pre&gt;<br /> ! 1-9-11-17_by_24/17_Bihexany.scl<br /> !<br /> 1 9 11 17 by 24/17 2-combination Bihexany<br /> 12<br /> !<br /> 104.955<br /> 347.407<br /> 452.363<br /> 498.044<br /> 551.317<br /> 596.999<br /> 701.995<br /> 944.407<br /> 1049.362<br /> 1101.045<br /> 1148.317<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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