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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:xenwolf|xenwolf]] and made on <tt>2016-01-06 05:07:10 UTC</tt>.<br>
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| : The original revision id was <tt>571231689</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 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to [[53edo]], and is [[Saturation|contorted]] through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports [[Marvel family#Spectacle|spectacle temperament]] and [[Semicomma family#Borwell|borwell temperament]].
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| The division is notable for the fact that it is related to the [[turkish cent]], ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo.
| | == Theory == |
| | Since 106 = 2 × 53, 106edo is closely related to [[53edo]], and is [[contorted]] through the [[7-limit]], tempering out the same commas ([[32805/32768]], [[15625/15552]], [[1600000/1594323]], [[2109375/2097152]] in the [[5-limit]], 3125/3087, [[225/224]], 4000/3969, [[1728/1715]], [[2430/2401]], [[4375/4374]] in the 7-limit) as the [[patent val]] for 53edo. In the 11-limit it also tempers out [[243/242]], [[3025/3024]] and [[9801/9800]], so that it [[support]]s [[spectacle]] temperament and [[borwell]] temperament. Unfortunately, it is now only consistent to the [[5-odd-limit]] due to 7/5 being closer to 51 steps rather than its patent val mapping of 52 steps. A superset of 53edo with much a higher consistency limit is [[159edo]]. |
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| | The division is notable for the fact that it is related to the [[turkish cent]], or türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo. |
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| | === Prime harmonics === |
| | {{Harmonics in equal|106|columns=16}} |
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| | 53edo for comparison: |
| | {{Harmonics in equal|53|collapsed=1|columns=16}} |
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| | == Intervals == |
| | {{Interval table}} |
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| | == Instruments == |
| | * [[Lumatone mapping for 106edo]] |
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| | == See also == |
| Artists using 106 et: | | Artists using 106 et: |
| * [[Dolores Catherino]] -- [[http://dolorescatherino.com|her website]], [[https://www.youtube.com/user/dolomuse|YouTube profile: dolomuse]] | | * [[Dolores Catherino]] – [http://dolorescatherino.com her website], [https://www.youtube.com/user/dolomuse YouTube profile: dolomuse] |
| * [[http://chrisvaisvil.com/still-life-in-106-notes-per-octave/|Still Life in 106 Notes Per Octave « Music & Techniques by Chris Vaisvil]]</pre></div> | | * [http://chrisvaisvil.com/still-life-in-106-notes-per-octave/ Still Life in 106 Notes Per Octave « Music & Techniques by Chris Vaisvil] |
| <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>106edo</title></head><body>The 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to <a class="wiki_link" href="/53edo">53edo</a>, and is <a class="wiki_link" href="/Saturation">contorted</a> through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports <a class="wiki_link" href="/Marvel%20family#Spectacle">spectacle temperament</a> and <a class="wiki_link" href="/Semicomma%20family#Borwell">borwell temperament</a>.<br />
| | [[Category:53edo]] |
| <br />
| | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> |
| The division is notable for the fact that it is related to the <a class="wiki_link" href="/turkish%20cent">turkish cent</a>, ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the <a class="wiki_link" href="/relative%20cent">relative cent</a> division for 106edo.<br />
| | [[Category:Polychromatic]] |
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| Artists using 106 et:<br />
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| <ul><li><a class="wiki_link" href="/Dolores%20Catherino">Dolores Catherino</a> -- <a class="wiki_link_ext" href="http://dolorescatherino.com" rel="nofollow">her website</a>, <a class="wiki_link_ext" href="https://www.youtube.com/user/dolomuse" rel="nofollow">YouTube profile: dolomuse</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/still-life-in-106-notes-per-octave/" rel="nofollow">Still Life in 106 Notes Per Octave « Music &amp; Techniques by Chris Vaisvil</a></li></ul></body></html></pre></div>
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