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| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <h2>IMPORTED REVISION FROM WIKISPACES</h2> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> |
| : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2010-08-13 07:18:32 UTC</tt>.<br> | | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2010-08-16 02:51:22 UTC</tt>.<br> |
| : The original revision id was <tt>156403045</tt>.<br> | | : The original revision id was <tt>156697291</tt>.<br> |
| : The revision comment was: <tt></tt><br> | | : The revision comment was: <tt>EDO scale gallery moved to separate page</tt><br> |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> |
| <h4>Original Wikitext content:</h4> | | <h4>Original Wikitext content:</h4> |
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| ===...of the Octave (2/1)=== | | ===...of the Octave (2/1)=== |
| (wildly popular; [[edo|dedicated page]])
| | These are, by far, the most widespread ones. See a separate [[edo|dedicated page.]] |
| || [[1edo]] || [[2edo]] || [[3edo]] || [[4edo]] || [[5edo]] || [[6edo]] || [[7edo]] || [[8edo]] || [[9edo]] || [[10edo]] || [[11edo]] || [[12edo]] ||
| |
| || [[13edo]] || [[14edo]] || [[15edo]] || [[16edo]] || [[17edo]] || [[18edo]] || [[19edo]] || [[20edo]] || [[21edo]] || [[22edo]] || [[23edo]] || [[24edo]] ||
| |
| || [[25edo]] || [[26edo]] || [[27edo]] || [[28edo]] || [[29edo]] || [[30edo]] || [[31edo]] || [[32edo]] || [[33edo]] || [[34edo]] || [[35edo]] || [[36edo]] ||
| |
| || [[37edo]] || [[38edo]] || [[39edo]] || [[40edo]] || [[41edo]] || [[42edo]] || [[43edo]] || [[44edo]] || [[45edo]] || [[46edo]] || [[47edo]] || [[48edo]] ||
| |
| || [[49edo]] || [[50edo]] || [[51edo]] || [[52edo]] || [[53edo]] || [[54edo]] || [[55edo]] || [[56edo]] || [[57edo]] || [[58edo]] || [[59edo]] || [[60edo]] ||
| |
| || || || || || [[65edo]] || || || [[68edo]] || || [[70edo]] || || [[72edo]] ||
| |
| || || || || [[76edo]] || [[77edo]] || || [[79edo]] || [[80edo]] || || || || ||
| |
| || || || [[87edo]] || [[88edo]] || [[89edo]] || || || || || [[94edo]] || || [[96edo]] ||
| |
| || || || [[99edo]] || || [[101edo]] || || || [[104edo]] || || || || ||
| |
| || || || [[111edo]] || || [[113edo]] || || || || || [[118edo]] || || [[120edo]] ||
| |
| || || || || || [[125edo]] || || [[127edo]] || || || [[130edo]] || || ||
| |
| || || || [[135edo]] || || [[137edo]] || || || [[140edo]] || || [[142edo]] || || ||
| |
| || || || [[147edo]] || || [[149edo]] || || || [[152edo]] || || || || ||
| |
| and so on. Some larger systems include [[159edo]], [[166edo]], [[171edo]], [[185edo]], [[190edo]], [[197edo]], [[200edo]], [[202edo]], [[205edo]], [[224edo]], [[240edo]], [[253edo]], [[270edo]], [[284edo]], [[289edo]], [[311edo]], [[346edo]], [[441edo]], [[494edo]], [[612edo]], [[665edo]]
| |
| | |
| The equal temperaments less than 12edo in size may be called "[[macrotonal edos|macrotonal]]". Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world.
| |
|
| |
|
| ===...of the Tritave (3/1)=== | | ===...of the Tritave (3/1)=== |
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| <br /> | | <br /> |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Scale gallery-Equal divisions...-...of the Octave (2/1)"></a><!-- ws:end:WikiTextHeadingRule:6 -->...of the Octave (2/1)</h3> | | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Scale gallery-Equal divisions...-...of the Octave (2/1)"></a><!-- ws:end:WikiTextHeadingRule:6 -->...of the Octave (2/1)</h3> |
| (wildly popular; <a class="wiki_link" href="/edo">dedicated page</a>)<br /> | | These are, by far, the most widespread ones. See a separate <a class="wiki_link" href="/edo">dedicated page.</a><br /> |
| | |
| | |
| <table class="wiki_table">
| |
| <tr>
| |
| <td><a class="wiki_link" href="/1edo">1edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/2edo">2edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/3edo">3edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/4edo">4edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/5edo">5edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/6edo">6edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/7edo">7edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/8edo">8edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/9edo">9edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/10edo">10edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/11edo">11edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/12edo">12edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/13edo">13edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/14edo">14edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/15edo">15edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/16edo">16edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/17edo">17edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/18edo">18edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/19edo">19edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/20edo">20edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/21edo">21edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/22edo">22edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/23edo">23edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/24edo">24edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/25edo">25edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/26edo">26edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/27edo">27edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/28edo">28edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/29edo">29edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/30edo">30edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/31edo">31edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/32edo">32edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/33edo">33edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/34edo">34edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/35edo">35edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/36edo">36edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/37edo">37edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/38edo">38edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/39edo">39edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/40edo">40edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/41edo">41edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/42edo">42edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/43edo">43edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/44edo">44edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/45edo">45edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/46edo">46edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/47edo">47edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/48edo">48edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/49edo">49edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/50edo">50edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/51edo">51edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/52edo">52edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/53edo">53edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/54edo">54edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/55edo">55edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/56edo">56edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/57edo">57edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/58edo">58edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/59edo">59edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/60edo">60edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/65edo">65edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/68edo">68edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/70edo">70edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/72edo">72edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/76edo">76edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/77edo">77edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/79edo">79edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/80edo">80edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/87edo">87edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/88edo">88edo</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/89edo">89edo</a><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/94edo">94edo</a><br />
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| </td>
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| <td><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/96edo">96edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td><br />
| |
| </td>
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| <td><br />
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| </td>
| |
| <td><a class="wiki_link" href="/99edo">99edo</a><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><a class="wiki_link" href="/101edo">101edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/104edo">104edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/111edo">111edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/113edo">113edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/118edo">118edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/120edo">120edo</a><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/125edo">125edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/127edo">127edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/130edo">130edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/135edo">135edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/137edo">137edo</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/140edo">140edo</a><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td><a class="wiki_link" href="/142edo">142edo</a><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/147edo">147edo</a><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><a class="wiki_link" href="/149edo">149edo</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><a class="wiki_link" href="/152edo">152edo</a><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| and so on. Some larger systems include <a class="wiki_link" href="/159edo">159edo</a>, <a class="wiki_link" href="/166edo">166edo</a>, <a class="wiki_link" href="/171edo">171edo</a>, <a class="wiki_link" href="/185edo">185edo</a>, <a class="wiki_link" href="/190edo">190edo</a>, <a class="wiki_link" href="/197edo">197edo</a>, <a class="wiki_link" href="/200edo">200edo</a>, <a class="wiki_link" href="/202edo">202edo</a>, <a class="wiki_link" href="/205edo">205edo</a>, <a class="wiki_link" href="/224edo">224edo</a>, <a class="wiki_link" href="/240edo">240edo</a>, <a class="wiki_link" href="/253edo">253edo</a>, <a class="wiki_link" href="/270edo">270edo</a>, <a class="wiki_link" href="/284edo">284edo</a>, <a class="wiki_link" href="/289edo">289edo</a>, <a class="wiki_link" href="/311edo">311edo</a>, <a class="wiki_link" href="/346edo">346edo</a>, <a class="wiki_link" href="/441edo">441edo</a>, <a class="wiki_link" href="/494edo">494edo</a>, <a class="wiki_link" href="/612edo">612edo</a>, <a class="wiki_link" href="/665edo">665edo</a><br />
| |
| <br />
| |
| The equal temperaments less than 12edo in size may be called &quot;<a class="wiki_link" href="/macrotonal%20edos">macrotonal</a>&quot;. Of these, 1, 2, 3, 4 and 6 divide 12 and so are already available to anyone wishing to explore them. The 5, 7 and 9 edos have arguably been used in various kinds of musical traditions in different parts of the world.<br />
| |
| <br /> | | <br /> |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Scale gallery-Equal divisions...-...of the Tritave (3/1)"></a><!-- ws:end:WikiTextHeadingRule:8 -->...of the Tritave (3/1)</h3> | | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Scale gallery-Equal divisions...-...of the Tritave (3/1)"></a><!-- ws:end:WikiTextHeadingRule:8 -->...of the Tritave (3/1)</h3> |
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author hstraub and made on 2010-08-16 02:51:22 UTC.
- The original revision id was 156697291.
- The revision comment was: EDO scale gallery moved to separate page
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=Equal=
**Equal: a tuning in which every single step is the same interval; an equal-step scale.**
The size of this single step is given explicitly (e.g. 88 cent equal temperament) or as a fraction of a larger interval (e.g. 13 equal tones per octave). When a just interval is equally divided, it is assumed none of the resulting intervals are just, because if the interval has a rational root it is seen as a division of that [[roots|root]]. Hence we do not talk of equal divisions of 4 or 16/9.
When a tuning is called "X tone equal temperament" (abbreviated -tET or -ET), this means "X divisions of 2/1, the octave, or some approximation thereof" but it also implies a mindset of [[Regular Temperaments|temperament]]—that is, of a harmony-centric, JI-approximation-based understanding of the scale.
The less theory-laden term //EDO//, meaning "equal divisions of the octave," leaves comparison to JI, aside from the octave itself, out of the picture. (There are other less standard terms, many in the [[http://www.tonalsoft.com/enc/encyclopedia.aspx|Tonalsoft Encyclopedia]].)
**As there are infinite intervals, there are infinite equal scales.** Barring technicalities there are large quantities of perceivably different equal scales. Seeing such a diverse menagerie at their disposal, some composers choose to combine multiple equal tunings [[ET surveys|sequentially]] or [[Polymicrotonality|simultaneously]].
----
=Scale gallery=
==Equal divisions...==
===...of the Octave (2/1)===
These are, by far, the most widespread ones. See a separate [[edo|dedicated page.]]
===...of the Tritave (3/1)===
[[7edt]]
[[12edt]]
[[BP|13 (Bohlen-Pierce)]]
[[19ED3|19 (Bernhard Stopper)]]
39 Triple Bohlen-Pierce
===...of the Perfect Fifth (3/2)===
[[4edf]]
[[6edf]]
[[8edf]] ([[88cET]])
[[Carlos Alpha|9 (Carlos Alpha)]]
[[Carlos Beta|11 (Carlos Beta)]]
[[Carlos Gamma|20 (Carlos Gamma)]]
===...of the Just Major 17th (5/1)===
25 (Stockhausen, McLaren)
==Equal multiplications?==
[[88cET|88-cET]], Alpha, Beta, Gamma
===See also:===
[[edo anatomy]], [[macrotonal edos]], [[quasi-equal]]
Original HTML content:
<html><head><title>Equal-step Tuning</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Equal"></a><!-- ws:end:WikiTextHeadingRule:0 -->Equal</h1>
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<strong>Equal: a tuning in which every single step is the same interval; an equal-step scale.</strong><br />
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The size of this single step is given explicitly (e.g. 88 cent equal temperament) or as a fraction of a larger interval (e.g. 13 equal tones per octave). When a just interval is equally divided, it is assumed none of the resulting intervals are just, because if the interval has a rational root it is seen as a division of that <a class="wiki_link" href="/roots">root</a>. Hence we do not talk of equal divisions of 4 or 16/9.<br />
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When a tuning is called "X tone equal temperament" (abbreviated -tET or -ET), this means "X divisions of 2/1, the octave, or some approximation thereof" but it also implies a mindset of <a class="wiki_link" href="/Regular%20Temperaments">temperament</a>—that is, of a harmony-centric, JI-approximation-based understanding of the scale.<br />
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The less theory-laden term <em>EDO</em>, meaning "equal divisions of the octave," leaves comparison to JI, aside from the octave itself, out of the picture. (There are other less standard terms, many in the <a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/encyclopedia.aspx" rel="nofollow">Tonalsoft Encyclopedia</a>.)<br />
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<strong>As there are infinite intervals, there are infinite equal scales.</strong> Barring technicalities there are large quantities of perceivably different equal scales. Seeing such a diverse menagerie at their disposal, some composers choose to combine multiple equal tunings <a class="wiki_link" href="/ET%20surveys">sequentially</a> or <a class="wiki_link" href="/Polymicrotonality">simultaneously</a>.<br />
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<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Scale gallery"></a><!-- ws:end:WikiTextHeadingRule:2 -->Scale gallery</h1>
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<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Scale gallery-Equal divisions..."></a><!-- ws:end:WikiTextHeadingRule:4 -->Equal divisions...</h2>
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<!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="Scale gallery-Equal divisions...-...of the Octave (2/1)"></a><!-- ws:end:WikiTextHeadingRule:6 -->...of the Octave (2/1)</h3>
These are, by far, the most widespread ones. See a separate <a class="wiki_link" href="/edo">dedicated page.</a><br />
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<!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="Scale gallery-Equal divisions...-...of the Tritave (3/1)"></a><!-- ws:end:WikiTextHeadingRule:8 -->...of the Tritave (3/1)</h3>
<a class="wiki_link" href="/7edt">7edt</a><br />
<a class="wiki_link" href="/12edt">12edt</a><br />
<a class="wiki_link" href="/BP">13 (Bohlen-Pierce)</a><br />
<a class="wiki_link" href="/19ED3">19 (Bernhard Stopper)</a><br />
39 Triple Bohlen-Pierce<br />
<!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="Scale gallery-Equal divisions...-...of the Perfect Fifth (3/2)"></a><!-- ws:end:WikiTextHeadingRule:10 -->...of the Perfect Fifth (3/2)</h3>
<a class="wiki_link" href="/4edf">4edf</a><br />
<a class="wiki_link" href="/6edf">6edf</a><br />
<a class="wiki_link" href="/8edf">8edf</a> (<a class="wiki_link" href="/88cET">88cET</a>)<br />
<a class="wiki_link" href="/Carlos%20Alpha">9 (Carlos Alpha)</a><br />
<a class="wiki_link" href="/Carlos%20Beta">11 (Carlos Beta)</a><br />
<a class="wiki_link" href="/Carlos%20Gamma">20 (Carlos Gamma)</a><br />
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<!-- ws:start:WikiTextHeadingRule:12:<h3> --><h3 id="toc6"><a name="Scale gallery-Equal divisions...-...of the Just Major 17th (5/1)"></a><!-- ws:end:WikiTextHeadingRule:12 -->...of the Just Major 17th (5/1)</h3>
25 (Stockhausen, McLaren)<br />
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<!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Scale gallery-Equal multiplications?"></a><!-- ws:end:WikiTextHeadingRule:14 -->Equal multiplications?</h2>
<a class="wiki_link" href="/88cET">88-cET</a>, Alpha, Beta, Gamma<br />
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<!-- ws:start:WikiTextHeadingRule:16:<h3> --><h3 id="toc8"><a name="Scale gallery-Equal multiplications?-See also:"></a><!-- ws:end:WikiTextHeadingRule:16 -->See also:</h3>
<a class="wiki_link" href="/edo%20anatomy">edo anatomy</a>, <a class="wiki_link" href="/macrotonal%20edos">macrotonal edos</a>, <a class="wiki_link" href="/quasi-equal">quasi-equal</a></body></html>