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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''148 equal division'' divides the octave into 148 equal parts of 8.108 cents each, near a [[kleisma|kleisma]]. It provides the [[Optimal_patent_val|optimal patent val]] for 11-limit [[Diaschismic_family|echidnic temperament]], the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[Patent_val|patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo|80edo]] for 7- and 13- limit [[Diaschismic_family|bidia temperament]], the 12&68 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-09-30 04:59:16 UTC</tt>.<br>
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| : The original revision id was <tt>593682238</tt>.<br>
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| : 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>
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| <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 //148 equal division// divides the octave into 148 equal parts of 8.108 cents each, near a [[kleisma]]. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for 7- and 13- limit [[Diaschismic family|bidia temperament]], the 12&68 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.
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| 148 = 4 * 37, with divisors 2, 4, 37, 74.</pre></div> | | 148 = 4 * 37, with divisors 2, 4, 37, 74. |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>148edo</title></head><body>The <em>148 equal division</em> divides the octave into 148 equal parts of 8.108 cents each, near a <a class="wiki_link" href="/kleisma">kleisma</a>. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Diaschismic%20family">echidnic temperament</a>, the 10&amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the <a class="wiki_link" href="/patent%20val">patent val</a> tempers out 686/675 and 1029/1024, but an alternative mapping &lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of <a class="wiki_link" href="/80edo">80edo</a> for 7- and 13- limit <a class="wiki_link" href="/Diaschismic%20family">bidia temperament</a>, the 12&amp;68 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.<br />
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| 148 = 4 * 37, with divisors 2, 4, 37, 74.</body></html></pre></div>
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The 148 equal division divides the octave into 148 equal parts of 8.108 cents each, near a kleisma. It provides the optimal patent val for 11-limit echidnic temperament, the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the patent val tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of 80edo for 7- and 13- limit bidia temperament, the 12&68 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.
148 = 4 * 37, with divisors 2, 4, 37, 74.