https://en.xen.wiki/index.php?action=history&feed=atom&title=3-11-13-15_by_24%2F17_bihexany3-11-13-15 by 24/17 bihexany - Revision history2026-07-05T21:27:10ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=3-11-13-15_by_24/17_bihexany&diff=217226&oldid=prevYourmusic Productions: Fix math error.2025-11-17T12:46:43Z<p>Fix math error.</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:46, 17 November 2025</td>
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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:3-11-13-15_by_24-17_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the [[3-11-13-15_hexany|base hexany]] outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the <del style="font-weight: bold; text-decoration: none;">Ab </del>which is only flat by [[936/935]], which provides probably the clearest point of stability. </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:3-11-13-15_by_24-17_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the [[3-11-13-15_hexany|base hexany]] outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the <ins style="font-weight: bold; text-decoration: none;">A </ins>which is only flat by [[936/935]], which provides probably the clearest point of stability. </div></td></tr>
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</table>Yourmusic Productionshttps://en.xen.wiki/index.php?title=3-11-13-15_by_24/17_bihexany&diff=217225&oldid=prevYourmusic Productions: Create Page.2025-11-17T12:36:27Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:3-11-13-15_by_24-17_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the [[3-11-13-15_hexany|base hexany]] outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the Ab which is only flat by [[936/935]], which provides probably the clearest point of stability. <br />
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<pre><br />
! 3-11-13-15_by_24_17-Bihexany.scl<br />
!<br />
3 11 13 15 by 24/17 2-combination Hexany<br />
12<br />
!<br />
72.523<br />
138.572<br />
289.209<br />
386.313<br />
536.950<br />
596.999<br />
675.523<br />
735.572<br />
886.209<br />
983.313<br />
1133.950<br />
1200<br />
</pre><br />
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[[Category:Hexanies]]<br />
[[Category:12-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions