46edo: 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:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2011-06-~~07 17~~:35:28 UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-11 12:09:19 UTC</tt>.<br>

: The original revision id was <tt>~~234973808~~</tt>.<br>

: The original revision id was <tt>235938788</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>

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==Approximation to Mode 8 of the Harmonic Series==

46edo represents ~~overtones~~ 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.

46edo represents [[overtone]]s 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.

8\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).

8\46edo (208.70¢) stands in for frequency ratio [[9_8|9:8]] (203.91¢).

7\46edo (182.61¢) stands in for 10:9 (182.40¢).

7\46edo (182.61¢) stands in for [[10_9|10:9]] (182.40¢).

6\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).

6\46edo (156.52¢) stands in for [[11_10|11:10]] (165.00¢) and [[12_11|12:11]] (150.64¢).

5\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).

5\46edo (130.43¢) stands in for [[13_12|13:12]] (138.57¢), [[14_13|14:13]] (128.30¢) and [[15_14|15:14]] (119.44¢).

4\46edo (104.35¢) stands in for 16:15 (111.73¢).

4\46edo (104.35¢) stands in for [[16_15|16:15]] (111.73¢).

==Music==

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<h2 id="toc3"><a name="x46 tone equal temperament-Approximation to Mode 8 of the Harmonic Series"></a>Approximation to Mode 8 of the Harmonic Series</h2>

<br />

46edo represents ~~overtones~~ 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.<br />

46edo represents <a class="wiki_link" href="/overtone">overtone</a>s 8 through 16 (written as <a class="wiki_link" href="/JI">JI</a> ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.<br />

<br />

8\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).<br />

8\46edo (208.70¢) stands in for frequency ratio <a class="wiki_link" href="/9_8">9:8</a> (203.91¢).<br />

7\46edo (182.61¢) stands in for 10:9 (182.40¢).<br />

7\46edo (182.61¢) stands in for <a class="wiki_link" href="/10_9">10:9</a> (182.40¢).<br />

6\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).<br />

6\46edo (156.52¢) stands in for <a class="wiki_link" href="/11_10">11:10</a> (165.00¢) and <a class="wiki_link" href="/12_11">12:11</a> (150.64¢).<br />

5\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).<br />

5\46edo (130.43¢) stands in for <a class="wiki_link" href="/13_12">13:12</a> (138.57¢), <a class="wiki_link" href="/14_13">14:13</a> (128.30¢) and <a class="wiki_link" href="/15_14">15:14</a> (119.44¢).<br />

4\46edo (104.35¢) stands in for 16:15 (111.73¢).<br />

4\46edo (104.35¢) stands in for <a class="wiki_link" href="/16_15">16:15</a> (111.73¢).<br />

<br />

<h2 id="toc4"><a name="x46 tone equal temperament-Music"></a>Music</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:genewardsmith|genewardsmith]] and made on <tt>2011-06-07 17:35:28 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-11 12:09:19 UTC</tt>.<br>
-: The original revision id was <tt>234973808</tt>.<br>
+: The original revision id was <tt>235938788</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 70: / Line 70: @@
 ==Approximation to Mode 8 of the Harmonic Series==
-edo represents overtones 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.
+edo represents [[overtone]]s 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.
-\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).
+\46edo (208.70¢) stands in for frequency ratio [[9_8|9:8]] (203.91¢).
-\46edo (182.61¢) stands in for 10:9 (182.40¢).
+\46edo (182.61¢) stands in for [[10_9|10:9]] (182.40¢).
-\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).
+\46edo (156.52¢) stands in for [[11_10|11:10]] (165.00¢) and [[12_11|12:11]] (150.64¢).
-\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).
+\46edo (130.43¢) stands in for [[13_12|13:12]] (138.57¢), [[14_13|14:13]] (128.30¢) and [[15_14|15:14]] (119.44¢).
-\46edo (104.35¢) stands in for 16:15 (111.73¢).
+\46edo (104.35¢) stands in for [[16_15|16:15]] (111.73¢).
 ==Music==
@@ Line 388: / Line 388: @@
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x46 tone equal temperament-Approximation to Mode 8 of the Harmonic Series"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Approximation to Mode 8 of the Harmonic Series&lt;/h2&gt;
   &lt;br /&gt;
-edo represents overtones 8 through 16 (written as JI ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.&lt;br /&gt;
+edo represents &lt;a class="wiki_link" href="/overtone"&gt;overtone&lt;/a&gt;s 8 through 16 (written as &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt; ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.&lt;br /&gt;
 &lt;br /&gt;
-\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).&lt;br /&gt;
+\46edo (208.70¢) stands in for frequency ratio &lt;a class="wiki_link" href="/9_8"&gt;9:8&lt;/a&gt; (203.91¢).&lt;br /&gt;
-\46edo (182.61¢) stands in for 10:9 (182.40¢).&lt;br /&gt;
+\46edo (182.61¢) stands in for &lt;a class="wiki_link" href="/10_9"&gt;10:9&lt;/a&gt; (182.40¢).&lt;br /&gt;
-\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).&lt;br /&gt;
+\46edo (156.52¢) stands in for &lt;a class="wiki_link" href="/11_10"&gt;11:10&lt;/a&gt; (165.00¢) and &lt;a class="wiki_link" href="/12_11"&gt;12:11&lt;/a&gt; (150.64¢).&lt;br /&gt;
-\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).&lt;br /&gt;
+\46edo (130.43¢) stands in for &lt;a class="wiki_link" href="/13_12"&gt;13:12&lt;/a&gt; (138.57¢), &lt;a class="wiki_link" href="/14_13"&gt;14:13&lt;/a&gt; (128.30¢) and &lt;a class="wiki_link" href="/15_14"&gt;15:14&lt;/a&gt; (119.44¢).&lt;br /&gt;
-\46edo (104.35¢) stands in for 16:15 (111.73¢).&lt;br /&gt;
+\46edo (104.35¢) stands in for &lt;a class="wiki_link" href="/16_15"&gt;16:15&lt;/a&gt; (111.73¢).&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x46 tone equal temperament-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Music&lt;/h2&gt;