https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AFrancium%2F1667edo 2026-06-27T03:29:38Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Francium/1667edo&diff=216234&oldid=prev 2025-11-05T16:54:05Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 1667edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/7-limit" title="7-limit">7-limit</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/1640558367/1638400000" class="mw-redirect" title="1640558367/1638400000">1640558367/1638400000</a>, 184528125/184473632 and 117546246144/117236328125 in the 7-limit. It is strong in the 2.3.7.11.17 <a href="/w/Subgroup" class="mw-redirect" title="Subgroup">subgroup</a>, tempering out 34992/34969, 142633953/142606336, 32019867/32000528 and 2030754159/2030043136. === Prime harmonics === {{Harmonics in equal|1667}} === Subsets and supersets === 1667edo is the 262nd <a href="/w/Prime_edo" class="mw-redirect" title="Prime edo">prime edo</a>. == Regular tempe...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 1667edo is [[consistent]] to the [[7-limit]], [[tempering out]] [[1640558367/1638400000]], 184528125/184473632 and 117546246144/117236328125 in the 7-limit. It is strong in the 2.3.7.11.17 [[subgroup]], tempering out 34992/34969, 142633953/142606336, 32019867/32000528 and 2030754159/2030043136.<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|1667}}<br /> <br /> === Subsets and supersets ===<br /> 1667edo is the 262nd [[prime edo]].<br /> <br /> == Regular temperament properties ==<br /> {| class=&quot;wikitable center-4 center-5 center-6&quot;<br /> ! rowspan=&quot;2&quot; |[[Subgroup]]<br /> ! rowspan=&quot;2&quot; |[[Comma list|Comma List]]<br /> ! rowspan=&quot;2&quot; |[[Mapping]]<br /> ! rowspan=&quot;2&quot; |Optimal&lt;br&gt;8ve Stretch (¢)<br /> ! colspan=&quot;2&quot; |Tuning Error<br /> |- <br /> ![[TE error|Absolute]] (¢)<br /> ![[TE simple badness|Relative]] (%)<br /> |-<br /> | 2.3<br /> | {{monzo|-2642 1667}}<br /> | {{mapping|1667 2642}}<br /> | +0.0301<br /> | 0.0301<br /> | 4.18<br /> |-<br /> | 2.3.5<br /> | {{monzo|31 20 -27}}, {{monzo|-99 61 1}}<br /> | {{mapping|1667 2642 3871}}<br /> | −0.0157<br /> | 0.0692<br /> | 9.61<br /> |-<br /> | 2.3.5.7<br /> | 1640558367/1638400000, 184528125/184473632, 117546246144/117236328125 <br /> | {{mapping|1667 2642 3871 4680}}<br /> | −0.0207<br /> | 0.0606<br /> | 8.42<br /> |-<br /> | 2.3.5.7.11<br /> | 160083/160000, 172032/171875, 1240029/1239040, 52612659/52521875<br /> | {{mapping|1667 2642 3871 4680 5767}}<br /> | −0.0219<br /> | 0.0542<br /> | 7.53<br /> |-<br /> | 2.3.5.7.11.13<br /> | 4096/4095, 34398/34375, 40656/40625, 91125/91091, 10513152/10504375<br /> | {{mapping|1667 2642 3871 4680 5767 6169}}<br /> | −0.0301<br /> | 0.0528<br /> | 7.33<br /> |-<br /> | 2.3.5.7.11.13.17<br /> | 1701/1700, 4096/4095, 12376/12375, 14400/14399, 11016/11011, 10007712/10000165<br /> | {{mapping|1667 2642 3871 4680 5767 6169 6814}}<br /> | −0.0308<br /> | 0.0490<br /> | 6.81<br /> |}</div>

Francium