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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>2010-09-22 04:38:22 UTC</tt>.<br>
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| : The original revision id was <tt>164489787</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">=101 tone equal temperament=
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| //101edo// divides the octave into 101 parts of 11.881 cents each. It can be used to tune the [[Schismatic family|grackle temperament]].
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| 5-limit commas: 32805/32768, <5 13 -11| | | == Theory == |
| | 101edo is in[[consistent]] in the [[5-odd-limit]], with [[harmonic]]s [[5/1|5]] and [[7/1|7]] falling about halfway between its steps. As such, {{val| 101 160 '''235''' '''284''' }} ([[patent val]]) and {{val| 101 160 '''234''' '''283''' }} (101cd) are about as viable. Using the patent val, it [[tempering out|tempers out]] 32805/32768 ([[schisma]]) and 51018336/48828125 in the 5-limit; [[126/125]] and [[2430/2401]] in the [[7-limit]]. It can be used to tune the [[grackle]] temperament. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13- and 15-odd-limit least squares tuning. |
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| 7-limit commas: 126/125, 32805/32768, 2430/2401
| | === Odd harmonics === |
| | {{Harmonics in equal|101}} |
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| ==MOS== | | === Subsets and supersets === |
| 17 17 8 17 17 17 8: 5L2s MOS (superpythagoren)
| | 101edo is the 26th [[prime edo]], following [[97edo]] and before [[103edo]]. [[202edo]], which doubles it, provides a good correction to the 5th, 7th, and 11th harmonics. |
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| 13 13 13 5 13 13 13 13 5: 7L2s MOS (Armodue)</pre></div> | | == Intervals == |
| <h4>Original HTML content:</h4>
| | {{Interval table}} |
| <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>101edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x101 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->101 tone equal temperament</h1>
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| <em>101edo</em> divides the octave into 101 parts of 11.881 cents each. It can be used to tune the <a class="wiki_link" href="/Schismatic%20family">grackle temperament</a>.<br />
| | == Scales == |
| <br />
| | === Mos scales === |
| 5-limit commas: 32805/32768, &lt;5 13 -11|<br />
| | * 3L 2s: 25 13 25 25 13 ((25 38 63 88 101)\101){{clarify}} <!-- why is this significant? --> |
| <br />
| | * Grackle[7] 5L 2s: 17 17 8 17 17 17 8 ((17 34 42 59 76 93)\101) |
| 7-limit commas: 126/125, 32805/32768, 2430/2401<br />
| | * Pine 7L 1s: 13 13 13 13 13 13 13 10 ((13 26 39 52 65 78 91 101)\101) |
| <br />
| | * Superdiatonic 1/13-tone 13;5 relation: 13 13 13 5 13 13 13 13 5 ((13 26 39 44 57 70 83 96 101)\101) |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x101 tone equal temperament-MOS"></a><!-- ws:end:WikiTextHeadingRule:2 -->MOS</h2>
| | * Sensi[11] 8L 3s: 10 10 7 10 10 10 7 10 10 10 7 ((10 20 27 37 47 57 64 74 84 94)\101){{clarify}} <!-- which val? --> |
| 17 17 8 17 17 17 8: 5L2s MOS (superpythagoren)<br />
| | * Anti-Ketradektriatoh 3L 11s: 7 7 7 8 7 7 7 7 8 7 7 7 7 8 ((7 14 22 29 36 43 50 58 65 72 79 86 93 101)\101) |
| <br />
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| 13 13 13 5 13 13 13 13 5: 7L2s MOS (Armodue)</body></html></pre></div>
| | == Instruments == |
| | * [[Lumatone mapping for 101edo]] |
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| | == Music == |
| | ; [[Francium]] |
| | * "Eggclent" from ''Eggs'' (2025) – [https://open.spotify.com/track/4S0BTeb9yDdMUuT1QJy26H Spotify] | [https://francium223.bandcamp.com/track/eggclent Bandcamp] | [https://www.youtube.com/watch?v=FAe4O71Mvj0 YouTube] |
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| | == External links == |
| | * [http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal] {{dead link}} |
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| | [[Category:Armodue]] |
| | [[Category:Grackle]] |