https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AOverthink%2FKeenanismic_5-7-11_lattice 2026-07-03T04:51:07Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Overthink/Keenanismic_5-7-11_lattice&diff=223985&oldid=prev 2026-02-14T03:28:13Z

<p>Create page with one layer of lattice</p> <p><b>New page</b></p><div>In the keenanismic temperament tempering out [[385/384]], the intervals [[5/4]], [[7/4]], and [[11/8]] stack to 385/128, which in keenanismic is equal to [[3/1]]. As a result, it is natural to construct a lattice with primes 5, 7, and 11.<br /> <br /> Odd harmonics 1–11 are in &#039;&#039;&#039;bold&#039;&#039;&#039;.<br /> <br /> {| class=&quot;wikitable center-all&quot;<br /> |-<br /> | 49/25&lt;br&gt;1164.3 || 49/40&lt;br&gt;349.5 || 49/32&lt;br&gt;734.6 || 21/11&lt;br&gt;1119.7 || 105/88&lt;br&gt;304.9<br /> |-<br /> | 28/25&lt;br&gt;197.0 || 7/5&lt;br&gt;582.2 || &#039;&#039;&#039;7/4&#039;&#039;&#039;&lt;br&gt;967.3 || 12/11&lt;br&gt;152.4 || 15/11&lt;br&gt;537.6<br /> |-<br /> | 32/25&lt;br&gt;429.7 || 8/5&lt;br&gt;814.9 || &#039;&#039;&#039;1/1&#039;&#039;&#039;&lt;br&gt;0.0 || &#039;&#039;&#039;5/4&#039;&#039;&#039;&lt;br&gt;385.1 || 25/16&lt;br&gt;770.3<br /> |-<br /> | 22/15&lt;br&gt;662.4 || 11/6&lt;br&gt;1047.6 || 8/7&lt;br&gt;232.7 || 10/7&lt;br&gt;617.8 || 25/14&lt;br&gt;1003.0<br /> |-<br /> | 176/105&lt;br&gt;895.1 || 22/21&lt;br&gt;80.3 || 64/49&lt;br&gt;465.4 || 80/49&lt;br&gt;850.5 || 50/49&lt;br&gt;35.7<br /> |}</div>

Overthink