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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''68 equal temperament'', often abbreviated 68-tET, 68-EDO, or 68-ET, is the scale derived by dividing the octave into 68 equally-sized steps. Each step represents a frequency ratio of 17.65 cents; this is half of the step size of [[34edo|34edo]], which does well in the 5-limit but not so well in the 7-limit, and one quarter the size of [[17edo|17edo]], which does well in the [[3-limit|3-limit]], but not so well in the [[5-limit|5-limit]]. The luck continues; 68 is a strong [[7-limit|7-limit]] system, but does not do as well for in [[11-limit|11-limit]]; though it's certainly usable for that purpose, it does not represent the 11-limit diamond [[consistent|consistent]]ly. |
| 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>2016-12-29 11:33:18 UTC</tt>.<br>
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| : The original revision id was <tt>602894314</tt>.<br>
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| : The revision comment was: <tt>Reverted to Sep 17, 2016 10:36 am: reverted last (destructive) change</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 //68 equal temperament//, often abbreviated 68-tET, 68-EDO, or 68-ET, is the scale derived by dividing the octave into 68 equally-sized steps. Each step represents a frequency ratio of 17.65 cents; this is half of the step size of [[34edo]], which does well in the 5-limit but not so well in the 7-limit, and one quarter the size of [[17edo]], which does well in the [[3-limit]], but not so well in the [[5-limit]]. The luck continues; 68 is a strong [[7-limit]] system, but does not do as well for in [[11-limit]]; though it's certainly usable for that purpose, it does not represent the 11-limit diamond [[consistent]]ly.
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| As a 7-limit system it tempers out 2048/2025, 245/243, 4000/3969, 15625/15552, 3136/3125, 6144/6125 and 2401/2400. It supports octacot, shrutar, hemiwuerschmidt, hemikleismic, clyde and neptune temperaments, and supplies the optimal patent val for 11-limit hemikleismic. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp. | | As a 7-limit system it tempers out 2048/2025, 245/243, 4000/3969, 15625/15552, 3136/3125, 6144/6125 and 2401/2400. It supports octacot, shrutar, hemiwuerschmidt, hemikleismic, clyde and neptune temperaments, and supplies the optimal patent val for 11-limit hemikleismic. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp. |
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| Diatonic scales: | | Diatonic scales: |
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| Negative semitone: 14 14 -1 14 14 14 -1 (E is sharper than F, and B is sharper than C5) | | Negative semitone: 14 14 -1 14 14 14 -1 (E is sharper than F, and B is sharper than C5) |
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| Superpyth: 12 12 4 12 12 12 4 | | Superpyth: 12 12 4 12 12 12 4 |
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| Flattone: 10 10 9 10 10 10 9 | | Flattone: 10 10 9 10 10 10 9 |
| Inverse: 8 8 14 8 8 8 14</pre></div> | | |
| <h4>Original HTML content:</h4>
| | Inverse: 8 8 14 8 8 8 14 |
| <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>68edo</title></head><body>The <em>68 equal temperament</em>, often abbreviated 68-tET, 68-EDO, or 68-ET, is the scale derived by dividing the octave into 68 equally-sized steps. Each step represents a frequency ratio of 17.65 cents; this is half of the step size of <a class="wiki_link" href="/34edo">34edo</a>, which does well in the 5-limit but not so well in the 7-limit, and one quarter the size of <a class="wiki_link" href="/17edo">17edo</a>, which does well in the <a class="wiki_link" href="/3-limit">3-limit</a>, but not so well in the <a class="wiki_link" href="/5-limit">5-limit</a>. The luck continues; 68 is a strong <a class="wiki_link" href="/7-limit">7-limit</a> system, but does not do as well for in <a class="wiki_link" href="/11-limit">11-limit</a>; though it's certainly usable for that purpose, it does not represent the 11-limit diamond <a class="wiki_link" href="/consistent">consistent</a>ly.<br />
| | [[Category:clyde]] |
| <br />
| | [[Category:edo]] |
| As a 7-limit system it tempers out 2048/2025, 245/243, 4000/3969, 15625/15552, 3136/3125, 6144/6125 and 2401/2400. It supports octacot, shrutar, hemiwuerschmidt, hemikleismic, clyde and neptune temperaments, and supplies the optimal patent val for 11-limit hemikleismic. It is a sharp-tending system, with the third, fifth and seventh harmonics all sharp.<br />
| | [[Category:hemikleismic]] |
| <br />
| | [[Category:hemiwuerschmidt]] |
| Diatonic scales:<br />
| | [[Category:neptune]] |
| Negative semitone: 14 14 -1 14 14 14 -1 (E is sharper than F, and B is sharper than C5)<br />
| | [[Category:octacot]] |
| Superpyth: 12 12 4 12 12 12 4<br />
| | [[Category:shrutar]] |
| Flattone: 10 10 9 10 10 10 9<br />
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| Inverse: 8 8 14 8 8 8 14</body></html></pre></div>
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