https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AFrancium%2FMiscellaneous_rank-4_temperaments 2026-07-02T16:47:47Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Francium/Miscellaneous_rank-4_temperaments&diff=162758&oldid=prev 2024-10-28T16:44:51Z

<p>Created page with &quot;On this page, I explore some unnamed rank-4 temperaments that catched my interest. == 193 &amp; 311 &amp; 653 &amp; 1759 == Subgroup: 2.3.5.7.11.13.17.19.23 Comma list: 3025/3024, 5985...&quot;</p> <p><b>New page</b></p><div>On this page, I explore some unnamed rank-4 temperaments that catched my interest.<br /> <br /> == 193 &amp; 311 &amp; 653 &amp; 1759 ==<br /> <br /> Subgroup: 2.3.5.7.11.13.17.19.23<br /> <br /> Comma list: 3025/3024, 5985/5984, 4200/4199, 3520/3519, 12397/12393<br /> <br /> Mapping: &lt;br&gt;<br /> {| class=&quot;right-all&quot;<br /> | [⟨ || 1 || 1 || 2 || 1 || 2 || 1 || 3 || 5 || 5 || ],<br /> |-<br /> | ⟨ || 0 || 1 || 0 || 1 || 2 || 5 || -1 || -2 || 1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 2 || 0 || -2 || 10 || -1 || -5 || 1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 2 || 1 || -3 || 3 || 2 || -2 || ]]<br /> |}<br /> <br /> Optimal tuning (CTE): ~2 = 1\1, 3/2 = 701.976, ~1540/1377 = 193.082, ~55/36 = 733.392<br /> <br /> {{Optimal ET sequence|legend=1|44e, 118, 149, 193, 311, 460, 653, 795, 988g, 1106, 1448, 1759}}<br /> <br /> Badness: 2.031</div>

Francium