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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-15 17:24:25 UTC</tt>.<br>
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| : The original revision id was <tt>556739997</tt>.<br>
| | The 1448edo is a strong 13-limit system, and it is an excellent 2.3.5.7.11.13.19.23 [[subgroup]] system. It is a [[zeta peak edo]], and provides the [[optimal patent val]] for [[donar]]. A basis for the 13-limit [[comma]]s is {[[3025/3024]], [[4225/4224]], [[4375/4374]], 140625/140608, 823680/823543}. |
| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | Notably, it is the first edo to be [[diamond monotone]] to the [[95-odd-limit]], completing the first five octaves and a fifth of the [[harmonic series]], in fact by the [[patent val]]. It is thus usable in the full [[89-limit]], where prime 89 is the start of a record {{W|prime gap}} from 89 to 97. |
| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 1448 division divides the octave into 1448 equal parts of 0.8287 cents each. It is a strong 13-limit system, and if you don't care about 17, a terrific 2.3.5.7.11.13.19.23 system. It is a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak]] edo. A basis for the 13-limit commas is 3025/3024, 4225/4224, 4375/4374, 140625/140608 and 823680/823543.</pre></div>
| | === Prime harmonics === |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|1448|columns=12}} |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>1448edo</title></head><body>The 1448 division divides the octave into 1448 equal parts of 0.8287 cents each. It is a strong 13-limit system, and if you don't care about 17, a terrific 2.3.5.7.11.13.19.23 system. It is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak</a> edo. A basis for the 13-limit commas is 3025/3024, 4225/4224, 4375/4374, 140625/140608 and 823680/823543.</body></html></pre></div>
| | {{Harmonics in equal|1448|columns=12|start=13|collapsed=1|title=Approximation of prime harmonics in 1448edo (continued)}} |
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| | === Subsets and supersets === |
| | Since 1448 factors into {{factorization|1448}}, it has subset edos 2, 4, 8, 181, 362, and 724. |
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| | [[Category:Thor]] |
| | [[Category:Donar]] |