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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>2011-06-27 12:27:43 UTC</tt>.<br>
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| : The original revision id was <tt>238966519</tt>.<br>
| | == Theory == |
| : The revision comment was: <tt></tt><br>
| | 3600edo is consistent in the 5-odd-limit and it is a good 2.3.5.11.17.23.31.37.41 subgroup tuning. |
| 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>
| | In the 5-limit, 3600edo [[support]]s the [[ennealimmal]] temperament, tempering out the ennealimma, {{monzo| 1 -27 18 }}, and (with the [[patent val]]) 2401/2400 and 4375/4374 in the [[7-limit]]. Via the 3600e [[val]] {{val| 3600 5706 8359 10106 12453}}, 3600edo also supports the [[hemiennealimmal]] temperament in the 11-limit. |
| <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 3600 equal division divides the octave into 3600 equal parts of exactly 1/3 of a cent each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. Aside from its relationship to cents, it is of interest as a system supporting [[Ragismic microtemperaments#Ennealimmal|ennealimmal temperament]], tempering out the ennealimma, |1 -27 18>, in the [[5-limit]] and (with the patent val) 2401/2400 and 4375/4374 in the [[7-limit]]. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex.</pre></div>
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| <h4>Original HTML content:</h4>
| | An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex. |
| <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>3600edo</title></head><body>The 3600 equal division divides the octave into 3600 equal parts of exactly 1/3 of a cent each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. Aside from its relationship to cents, it is of interest as a system supporting <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a>, tempering out the ennealimma, |1 -27 18&gt;, in the <a class="wiki_link" href="/5-limit">5-limit</a> and (with the patent val) 2401/2400 and 4375/4374 in the <a class="wiki_link" href="/7-limit">7-limit</a>. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex.</body></html></pre></div>
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| | One step of 3600edo is close to the [[landscape comma]]. |
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| | === Prime harmonics === |
| | {{Harmonics in equal|3600}} |
| | === Subsets and supersets === |
| | [[Category:Equal divisions of the octave|####]] |
| | 3600edo factors as {{Factorization|3600}}, and has subset edos {{EDOs|1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800}}. |
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| | A cent is therefore represented by three steps; and the Dröbisch angle, which is [[360edo|logarithmically 1/360 of the octave]], is ten steps. EDOs corresponding to other notable divisors include [[72edo]], which has found a dissemination in practice and one step of which is represented by 50 steps, and [[200edo]], which holds the continued fraction expansion record for the best perfect fifth and its step is represented by 18 steps. |
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| | [[Category:Equal divisions of the octave|####]]<!-- 4-digit number --> |
| | [[Category:Ennealimmal]] |