https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-11-13_by_24%2F17_bihexany3-5-11-13 by 24/17 bihexany - Revision history2026-08-28T13:21:30ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=3-5-11-13_by_24/17_bihexany&diff=217380&oldid=prevYourmusic Productions: copypasting errors2025-11-19T20:13:46Z<p>copypasting errors</p>
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<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 20:13, 19 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:3-5-11-13_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[<del style="font-weight: bold; text-decoration: none;">13</del>-odd-limit]] [[<del style="font-weight: bold; text-decoration: none;">Hexany</del>]] <del style="font-weight: bold; text-decoration: none;">comprised entirely of prime numbers</del>. This creates a scale of 1 13/12 11/10 143/120 22/17 13/10 24/17 26/17 132/85 143/85 11/6 156/85 2/1, with steps of 13/12 66/65 13/12 240/221 221/220 240/221 13/12 66/65 13/12 85/78 936/935 85/78. While this does have many clusters of close notes, the purpose of this particular bihexany is not to maximise melodic utility, but to illustrate just how well [[8edo]] approximates this small subgroup of just intonation because it tempers out [[17303/17280]] and [[289/288]], with no note deviating from 8edo by more than 15 cents. This makes it the octatonic counterpart of the [[1-7-13-15 by 140/99 bihexany]] and the [[1-3-9-17 by 19/16 bihexany]]. </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:3-5-11-13_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[<ins style="font-weight: bold; text-decoration: none;">17</ins>-odd-limit]] [[<ins style="font-weight: bold; text-decoration: none;">Bihexany</ins>]]. This creates a scale of 1 13/12 11/10 143/120 22/17 13/10 24/17 26/17 132/85 143/85 11/6 156/85 2/1, with steps of 13/12 66/65 13/12 240/221 221/220 240/221 13/12 66/65 13/12 85/78 936/935 85/78. While this does have many clusters of close notes, the purpose of this particular bihexany is not to maximise melodic utility, but to illustrate just how well [[8edo]] approximates this small subgroup of just intonation because it tempers out [[17303/17280]] and [[289/288]], with no note deviating from 8edo by more than 15 cents. This makes it the octatonic counterpart of the [[1-7-13-15 by 140/99 bihexany]] and the [[1-3-9-17 by 19/16 bihexany]]. </div></td></tr>
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<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>! 3-5-11-13_by_24/17_Bihexany.scl</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>! 3-5-11-13_by_24/17_Bihexany.scl</div></td></tr>
</table>Yourmusic Productionshttps://en.xen.wiki/index.php?title=3-5-11-13_by_24/17_bihexany&diff=217375&oldid=prevYourmusic Productions: Create Page.2025-11-19T19:36:03Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:3-5-11-13_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[Hexany]] comprised entirely of prime numbers. This creates a scale of 1 13/12 11/10 143/120 22/17 13/10 24/17 26/17 132/85 143/85 11/6 156/85 2/1, with steps of 13/12 66/65 13/12 240/221 221/220 240/221 13/12 66/65 13/12 85/78 936/935 85/78. While this does have many clusters of close notes, the purpose of this particular bihexany is not to maximise melodic utility, but to illustrate just how well [[8edo]] approximates this small subgroup of just intonation because it tempers out [[17303/17280]] and [[289/288]], with no note deviating from 8edo by more than 15 cents. This makes it the octatonic counterpart of the [[1-7-13-15 by 140/99 bihexany]] and the [[1-3-9-17 by 19/16 bihexany]]. <br />
<pre><br />
! 3-5-11-13_by_24/17_Bihexany.scl<br />
!<br />
3 5 11 13 by 24/17 2-combination Bihexany<br />
12<br />
!<br />
138.572<br />
165.004<br />
303.576<br />
446.362<br />
454.213<br />
596.999<br />
735.572<br />
762.003<br />
900.576<br />
1049.362<br />
1051.231<br />
1200<br />
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[[Category:Hexanies]]<br />
[[Category:12-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions