Map of rank-2 temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-~~01 17~~:17:50 UTC</tt>.<br>

: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-28 22:11:53 UTC</tt>.<br>

: The original revision id was <tt>~~270810942~~</tt>.<br>

: The original revision id was <tt>279961630</tt>.<br>

: The revision comment was: <tt></tt><br>

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==Seven periods per octave==

* [[Whitewood]] - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.

* [[Jamesbond]] - The 5-limit is represented using [[7edo]], and the generator is only used for intervals of 7.

* [[Jamesbond]]/[[septimal]] - The 5-limit (and in septimal the prime 11) is represented using [[7edo]], and the generator is only used for intervals of 7.

* [[Sevond]] - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.

* [[Absurdity]] - A complex temperament (perhaps "absurdly" so).

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<ul><li><a class="wiki_link" href="/Blackwood">Blackwood</a>/<a class="wiki_link" href="/blacksmith">blacksmith</a> - The prime 3, and in blacksmith also 7, is represented using <a class="wiki_link" href="/5edo">5edo</a>. The generator gets you to all intervals of 5.</li></ul><h2 id="toc5"><a name="x-Six periods per octave"></a>Six periods per octave</h2>

<ul><li><a class="wiki_link" href="/Hexe">Hexe</a> - The 2.5.7 subgroup is represented using <a class="wiki_link" href="/6edo">6edo</a>, and the generator gets you to 4/3 and 3/2. Makes little sense not to additionally temper down to <a class="wiki_link" href="/12edo">12edo</a>.</li></ul><h2 id="toc6"><a name="x-Seven periods per octave"></a>Seven periods per octave</h2>

<ul><li><a class="wiki_link" href="/Whitewood">Whitewood</a> - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.</li><li><a class="wiki_link" href="/Jamesbond">Jamesbond</a> - The 5-limit is represented using <a class="wiki_link" href="/7edo">7edo</a>, and the generator is only used for intervals of 7.</li><li><a class="wiki_link" href="/Sevond">Sevond</a> - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.</li><li><a class="wiki_link" href="/Absurdity">Absurdity</a> - A complex temperament (perhaps &quot;absurdly&quot; so).</li></ul><h2 id="toc7"><a name="x-Eight periods per octave"></a>Eight periods per octave</h2>

<ul><li><a class="wiki_link" href="/Whitewood">Whitewood</a> - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.</li><li><a class="wiki_link" href="/Jamesbond">Jamesbond</a>/<a class="wiki_link" href="/septimal">septimal</a> - The 5-limit (and in septimal the prime 11) is represented using <a class="wiki_link" href="/7edo">7edo</a>, and the generator is only used for intervals of 7.</li><li><a class="wiki_link" href="/Sevond">Sevond</a> - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.</li><li><a class="wiki_link" href="/Absurdity">Absurdity</a> - A complex temperament (perhaps &quot;absurdly&quot; so).</li></ul><h2 id="toc7"><a name="x-Eight periods per octave"></a>Eight periods per octave</h2>

<ul><li><a class="wiki_link" href="/Octoid">Octoid</a> - 16-cent generator, sub-cent accuracy.</li></ul><h2 id="toc8"><a name="x-Nine periods per octave"></a>Nine periods per octave</h2>

<ul><li><a class="wiki_link" href="/Ennealimmal">Ennealimmal</a> - The generator is 49.02 cents, and don't forget the &quot;.02&quot; because it really is that accurate.</li></ul><h2 id="toc9"><a name="x-Twelve periods per octave"></a>Twelve periods per octave</h2>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-01 17:17:50 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-28 22:11:53 UTC</tt>.<br>
-: The original revision id was <tt>270810942</tt>.<br>
+: The original revision id was <tt>279961630</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 120: / Line 120: @@
 ==Seven periods per octave==
 * [[Whitewood]] - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.
-* [[Jamesbond]] - The 5-limit is represented using [[7edo]], and the generator is only used for intervals of 7.
+* [[Jamesbond]]/[[septimal]] - The 5-limit (and in septimal the prime 11) is represented using [[7edo]], and the generator is only used for intervals of 7.
 * [[Sevond]] - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.
 * [[Absurdity]] - A complex temperament (perhaps "absurdly" so).
@@ Line 3,239: / Line 3,239: @@
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Blackwood"&gt;Blackwood&lt;/a&gt;/&lt;a class="wiki_link" href="/blacksmith"&gt;blacksmith&lt;/a&gt; - The prime 3, and in blacksmith also 7, is represented using &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;. The generator gets you to all intervals of 5.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Six periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Six periods per octave&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Hexe"&gt;Hexe&lt;/a&gt; - The 2.5.7 subgroup is represented using &lt;a class="wiki_link" href="/6edo"&gt;6edo&lt;/a&gt;, and the generator gets you to 4/3 and 3/2. Makes little sense not to additionally temper down to &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Seven periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Seven periods per octave&lt;/h2&gt;
-  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Whitewood"&gt;Whitewood&lt;/a&gt; - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Jamesbond"&gt;Jamesbond&lt;/a&gt; - The 5-limit is represented using &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, and the generator is only used for intervals of 7.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Sevond"&gt;Sevond&lt;/a&gt; - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Absurdity"&gt;Absurdity&lt;/a&gt; - A complex temperament (perhaps &amp;quot;absurdly&amp;quot; so).&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Eight periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Eight periods per octave&lt;/h2&gt;
+  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Whitewood"&gt;Whitewood&lt;/a&gt; - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Jamesbond"&gt;Jamesbond&lt;/a&gt;/&lt;a class="wiki_link" href="/septimal"&gt;septimal&lt;/a&gt; - The 5-limit (and in septimal the prime 11) is represented using &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, and the generator is only used for intervals of 7.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Sevond"&gt;Sevond&lt;/a&gt; - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Absurdity"&gt;Absurdity&lt;/a&gt; - A complex temperament (perhaps &amp;quot;absurdly&amp;quot; so).&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Eight periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Eight periods per octave&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Octoid"&gt;Octoid&lt;/a&gt; - 16-cent generator, sub-cent accuracy.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Nine periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Nine periods per octave&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Ennealimmal"&gt;Ennealimmal&lt;/a&gt; - The generator is 49.02 cents, and don't forget the &amp;quot;.02&amp;quot; because it really is that accurate.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Twelve periods per octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Twelve periods per octave&lt;/h2&gt;