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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | =Equal division of the perfect fifth (3/2) into 4 equal parts= |
| 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:hstraub|hstraub]] and made on <tt>2017-12-23 15:31:13 UTC</tt>.<br>
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| : The original revision id was <tt>624205517</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">=Equal division of the perfect fifth (3/2) into 4 equal parts=
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| **4edf** divides the [[Perfect fifth]] into 4 [[equal]] intervals, each 175.489 [[cent]]s in size.
| | '''4edf''' divides the [[perfect_fifth|Perfect fifth]] into 4 [[Equal|equal]] intervals, each 175.489 [[cent|cent]]s in size. |
| This division is said to be used in traditional scales of [[Georgian|Georgia]]. See the [[https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326|discusision on the Yahoo tuning list]].
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| ==Intervals==
| | This division is said to be used in traditional scales of [[Georgian|Georgia]]. See the [https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326 discusision on the Yahoo tuning list]. |
| ||~ degree ||~ cents value ||~ octave-reduced cents value || | |
| || 0 || 0 || ||
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| || 1 || 175.489 || ||
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| || 2 || 350.978 || ||
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| || 3 || 526.466 || ||
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| || 4 || 701.955 || ||
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| || 5 || 877.444 || ||
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| || 6 || 1052.933 || ||
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| ||~ second octave ||~ ||~ ||
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| || 7 || 1228.421 || 28.421 ||
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| || 8 || 1403.910 || 203.910 ||
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| || 9 || 1579.399 || 379.399 ||
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| || 10 || 1754.888 || 554.888 ||
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| || 11 || 1930.376 || 730.376 ||
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| || 12 || 2105.865 || 905.865 ||
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| || 13 || 2281.354 || 1081.354 ||
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| ||~ third octave ||~ ||~ ||
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| || 14 || 2456.843 || 56.843 ||
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| ==Compositions== | | ==Intervals== |
| [[http://www.seraph.it/dep/det/repetitions1.mp3|Repetitions 1]] [[http://www.youtube.com/watch?v=XEklMo0tIW0|Repetitions 1 video]] by [[Carlo Serafini]]</pre></div>
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| <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>4edf</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Equal division of the perfect fifth (3/2) into 4 equal parts</h1>
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| <br />
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| <strong>4edf</strong> divides the <a class="wiki_link" href="/Perfect%20fifth">Perfect fifth</a> into 4 <a class="wiki_link" href="/equal">equal</a> intervals, each 175.489 <a class="wiki_link" href="/cent">cent</a>s in size.<br />
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| This division is said to be used in traditional scales of <a class="wiki_link" href="/Georgian">Georgia</a>. See the <a class="wiki_link_ext" href="https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326" rel="nofollow">discusision on the Yahoo tuning list</a>.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
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| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <th>degree<br />
| | ! | degree |
| </th>
| | ! | cents value |
| <th>cents value<br />
| | ! | octave-reduced cents value |
| </th>
| | |- |
| <th>octave-reduced cents value<br />
| | | | 0 |
| </th>
| | | | 0 |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>0<br />
| | | | 1 |
| </td>
| | | | 175.489 |
| <td>0<br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | 2 |
| </td>
| | | | 350.978 |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>1<br />
| | | | 3 |
| </td>
| | | | 526.466 |
| <td>175.489<br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | 4 |
| </td>
| | | | 701.955 |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>2<br />
| | | | 5 |
| </td>
| | | | 877.444 |
| <td>350.978<br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | 6 |
| </td>
| | | | 1052.933 |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>3<br />
| | ! | second octave |
| </td>
| | ! | |
| <td>526.466<br />
| | ! | |
| </td>
| | |- |
| <td><br />
| | | | 7 |
| </td>
| | | | 1228.421 |
| </tr>
| | | | 28.421 |
| <tr>
| | |- |
| <td>4<br />
| | | | 8 |
| </td>
| | | | 1403.910 |
| <td>701.955<br />
| | | | 203.910 |
| </td>
| | |- |
| <td><br />
| | | | 9 |
| </td>
| | | | 1579.399 |
| </tr>
| | | | 379.399 |
| <tr>
| | |- |
| <td>5<br />
| | | | 10 |
| </td>
| | | | 1754.888 |
| <td>877.444<br />
| | | | 554.888 |
| </td>
| | |- |
| <td><br />
| | | | 11 |
| </td>
| | | | 1930.376 |
| </tr>
| | | | 730.376 |
| <tr>
| | |- |
| <td>6<br />
| | | | 12 |
| </td>
| | | | 2105.865 |
| <td>1052.933<br />
| | | | 905.865 |
| </td>
| | |- |
| <td><br />
| | | | 13 |
| </td>
| | | | 2281.354 |
| </tr>
| | | | 1081.354 |
| <tr>
| | |- |
| <th>second octave<br />
| | ! | third octave |
| </th>
| | ! | |
| <th><br />
| | ! | |
| </th>
| | |- |
| <th><br />
| | | | 14 |
| </th>
| | | | 2456.843 |
| </tr>
| | | | 56.843 |
| <tr>
| | |} |
| <td>7<br />
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| </td>
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| <td>1228.421<br />
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| </td>
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| <td>28.421<br />
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| </td>
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| </tr>
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| <tr>
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| <td>8<br />
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| </td>
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| <td>1403.910<br />
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| </td>
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| <td>203.910<br />
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| </td>
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| </tr>
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| <tr>
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| <td>9<br />
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| </td>
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| <td>1579.399<br />
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| </td>
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| <td>379.399<br />
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| </td>
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| </tr>
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| <tr>
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| <td>10<br />
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| </td>
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| <td>1754.888<br />
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| </td>
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| <td>554.888<br />
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| </td>
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| </tr>
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| <tr>
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| <td>11<br />
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| </td>
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| <td>1930.376<br />
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| </td>
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| <td>730.376<br />
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| </td>
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| </tr>
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| <tr>
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| <td>12<br />
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| </td>
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| <td>2105.865<br />
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| </td>
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| <td>905.865<br />
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| </td>
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| </tr>
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| <tr>
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| <td>13<br />
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| </td>
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| <td>2281.354<br />
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| </td>
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| <td>1081.354<br />
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| </td>
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| </tr>
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| <tr>
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| <th>third octave<br />
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| </th>
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| <th><br />
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| </th>
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| <th><br />
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| </th>
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| </tr>
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| <tr>
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| <td>14<br />
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| </td>
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| <td>2456.843<br />
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| </td>
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| <td>56.843<br />
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| </td>
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| </tr>
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| </table>
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| <br />
| | ==Compositions== |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 -->Compositions</h2>
| | [http://www.seraph.it/dep/det/repetitions1.mp3 Repetitions 1] [http://www.youtube.com/watch?v=XEklMo0tIW0 Repetitions 1 video] by [[Carlo_Serafini|Carlo Serafini]] [[Category:edonoi]] |
| <a class="wiki_link_ext" href="http://www.seraph.it/dep/det/repetitions1.mp3" rel="nofollow">Repetitions 1</a> <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=XEklMo0tIW0" rel="nofollow">Repetitions 1 video</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a></body></html></pre></div>
| | [[Category:equal]] |
| | [[Category:listen]] |
| | [[Category:nonoctave]] |
Equal division of the perfect fifth (3/2) into 4 equal parts
4edf divides the Perfect fifth into 4 equal intervals, each 175.489 cents in size.
This division is said to be used in traditional scales of Georgia. See the discusision on the Yahoo tuning list.
Intervals
| degree
|
cents value
|
octave-reduced cents value
|
| 0
|
0
|
|
| 1
|
175.489
|
|
| 2
|
350.978
|
|
| 3
|
526.466
|
|
| 4
|
701.955
|
|
| 5
|
877.444
|
|
| 6
|
1052.933
|
|
| second octave
|
|
|
| 7
|
1228.421
|
28.421
|
| 8
|
1403.910
|
203.910
|
| 9
|
1579.399
|
379.399
|
| 10
|
1754.888
|
554.888
|
| 11
|
1930.376
|
730.376
|
| 12
|
2105.865
|
905.865
|
| 13
|
2281.354
|
1081.354
|
| third octave
|
|
|
| 14
|
2456.843
|
56.843
|
Compositions
Repetitions 1 Repetitions 1 video by Carlo Serafini