https://en.xen.wiki/index.php?action=history&feed=atom&title=1879edo 2026-07-05T06:55:15Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1879edo&diff=185433&oldid=prev 2025-03-11T11:01:15Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 1879edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/21-odd-limit" title="21-odd-limit">21-odd-limit</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/2376/2375" title="2376/2375">2376/2375</a>, <a href="/w/12376/12375" class="mw-redirect" title="12376/12375">12376/12375</a>, 67392/67375, 20007/20000, 13377/...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 1879edo is [[consistent]] to the [[21-odd-limit]], [[tempering out]] [[2376/2375]], [[12376/12375]], 67392/67375, 20007/20000, 13377/13376, 11781/11776, 89376/89375 and [[25025/25024]] in the [[23-limit]]. It is strong in the 2.3.5.7.13.19.29.31 [[subgroup]], tempering out 20007/20000, [[3969/3968]], 28431/28420, 4901/4900, 1016064/1015625, 885735/885248 and 138240/138229. Using the 2.3.5.7.11.29.41 subgroup, it tempers out [[2871/2870]].<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|1879}}<br /> <br /> === Subsets and supersets ===<br /> 1879edo is the 289th [[prime edo]].<br /> <br /> == Regular temperament properties ==<br /> {| class=&quot;wikitable center-4 center-5 center-6&quot;<br /> |-<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|-2978 1879}}<br /> | {{mapping|1879 2978}}<br /> | 0.0291<br /> | 0.0291<br /> | 4.56<br /> |-<br /> | 2.3.5<br /> | {{monzo|-8 49 -30}}, {{monzo|91 -12 -31}}<br /> | {{mapping|1879 2978 4363}}<br /> | 0.0105<br /> | 0.0355<br /> | 5.56<br /> |-<br /> | 2.3.5.7<br /> | 14348907/14336000, 200120949/200000000, 8796093022208/8792724609375<br /> | {{mapping|1879 2978 4363 5275}}<br /> | 0.0090<br /> | 0.0308<br /> | 4.82<br /> |-<br /> | 2.3.5.7.11<br /> | 160083/160000, 151263/151250, 2657205/2656192, 262766592/262609375<br /> | {{mapping|1879 2978 4363 5275 6500}}<br /> | 0.0173<br /> | 0.0321<br /> | 5.03<br /> |-<br /> | 2.3.5.7.11.13<br /> | 67392/67375, 160083/160000, 50193/50176, 557568/557375, 4100625/4100096<br /> | {{mapping|1879 2978 4363 5275 6500 6953}}<br /> | 0.0180<br /> | 0.0294<br /> | 4.60<br /> |-<br /> | 2.3.5.7.11.13.17<br /> | 12376/12375, 67392/67375, 160083/160000, 75735/75712, 131648/131625, 194481/194480<br /> | {{mapping|1879 2978 4363 5275 6500 6953 7680}}<br /> | 0.0231<br /> | 0.0299<br /> | 4.68<br /> |-<br /> | 2.3.5.7.11.13.17.19<br /> | 2376/2375, 12376/12375, 67392/67375, 10241/10240, 89376/89375, 28431/28424, 111537/111475<br /> | {{mapping|1879 2978 4363 5275 6500 6953 7680 7982}}<br /> | 0.0175<br /> | 0.0316<br /> | 4.95<br /> |}</div>

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