https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-9-17_by_19%2F16_bihexany 2026-08-06T06:25:25Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-3-9-17_by_19/16_bihexany&diff=217451&oldid=prev 2025-11-21T19:15:46Z

<p>copypasting error</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 19:15, 21 November 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</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>!</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>!</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;"><div>1 3 9 17 by 19/16 2-combination Bihexany</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>1 3 9 17 by 19/16 2-combination Bihexany</div></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><del style="font-weight: bold; text-decoration: none;">6</del></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;">12</ins></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;"><div>!</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>!</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;"><div>104.955</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>104.955</div></td></tr> <!-- diff cache key xenwiki_en:diff:1.41:old-213282:rev-217451:php=table --> </table>

Yourmusic Productions https://en.xen.wiki/index.php?title=1-3-9-17_by_19/16_bihexany&diff=213282&oldid=prev 2025-10-16T07:21:32Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-3-9-17_by_19-16_Bihexany.png|thumb|Circle diagram.]] A [[19-odd-limit]] [[Bihexany]]. This creates a scale of 1 17/16 9/8 19/16 323/256 171/128 17/12 3/2 51/32 323/192 57/32 969/512 2/1, with steps of 17/16 18/17 19/18 17/16 18/17 544/513 18/17 17/16 19/18 18/17 17/16 1024/969. Since the [[1-3-9-17_hexany|base hexany]] maps closely to a subset of [[12edo]] comprised of two equidistant clusters, offsetting two copies of it by 19/16 turns this into a highly accurate detemper of 12edo, with no note deviating by more than 7 cents. It has 8 perfect fifths, many clusters of the harmonic sequence that make close voicings noticeably more consonant and the closest thing to a wolf fifth is the 690.6 cent one between Ab-Eb. As such it&#039;s not particularly useful if you want to explore the more adventurous reaches of xenharmony, but it does demonstrate just how well 12edo approximates this subset of the harmonic sequence, which was a significant contributor to it becoming the dominant system of tuning across the world.<br /> <br /> &lt;pre&gt;<br /> ! 1-3-9-17_by_19/16_Biexany.scl<br /> !<br /> 1 3 9 17 by 19/16 2-combination Bihexany<br /> 6<br /> !<br /> 104.955<br /> 203.910<br /> 297.513<br /> 402.468<br /> 501.423<br /> 603.000<br /> 701.955<br /> 806.910<br /> 900.513<br /> 999.468<br /> 1104.423<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Hexanies]]<br /> [[Category:12-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

Yourmusic Productions