Just intonation: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-05-15 21:31:37 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-05-15 21:51:47 UTC</tt>.

: The original revision id was <tt>~~142251173~~</tt>.

: The original revision id was <tt>142252505</tt>.

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

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3. Other theorists who, in contrast to the above, advocate the use of the [[http://en.wikipedia.org/wiki/Hexany|products]] of a given set of prime numbers, such as Robert Dussaut, [[http://en.wikipedia.org/wiki/Erv_Wilson|Ervin Wilson]], and others.

4. Restrictions on the variety of prime numbers used within a system, for example, 3 used with only one other prime ~~([[3and7JI|~~7]], 11, or 13...). This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.

4. [[Just intonation subgroups|Restrictions on the variety of prime numbers]] used within a system, for example, 3 used with only one [sic, also included is 2] other prime 7, 11, or 13.... This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.

5. Restricting the denominator to one or very few values (the [[OverToneSeries|harmonic series]]).

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3. Other theorists who, in contrast to the above, advocate the use of the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Hexany" rel="nofollow">products</a> of a given set of prime numbers, such as Robert Dussaut, <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erv_Wilson" rel="nofollow">Ervin Wilson</a>, and others.

4. ~~Restrictions on the variety of prime numbers used within a system, for example, 3 used with only one other prime (~~<a class="wiki_link" href="/~~3and7JI~~">7</a>, 11, or 13...). This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.

4. <a class="wiki_link" href="/Just%20intonation%20subgroups">Restrictions on the variety of prime numbers</a> used within a system, for example, 3 used with only one [sic, also included is 2] other prime 7, 11, or 13.... This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.

5. Restricting the denominator to one or very few values (the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>).

@@ 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>2010-05-15 21:31:37 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-05-15 21:51:47 UTC</tt>.<br>
-: The original revision id was <tt>142251173</tt>.<br>
+: The original revision id was <tt>142252505</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 27: / Line 27: @@
 . Other theorists who, in contrast to the above, advocate the use of the [[http://en.wikipedia.org/wiki/Hexany|products]] of a given set of prime numbers, such as Robert Dussaut, [[http://en.wikipedia.org/wiki/Erv_Wilson|Ervin Wilson]], and others.
-. Restrictions on the variety of prime numbers used within a system, for example, 3 used with only one other prime ([[3and7JI|7]], 11, or 13...). This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.
+. [[Just intonation subgroups|Restrictions on the variety of prime numbers]] used within a system, for example, 3 used with only one [sic, also included is 2] other prime 7, 11, or 13.... This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.
 . Restricting the denominator to one or very few values (the [[OverToneSeries|harmonic series]]).
@@ Line 77: / Line 77: @@
 . Other theorists who, in contrast to the above, advocate the use of the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Hexany" rel="nofollow"&gt;products&lt;/a&gt; of a given set of prime numbers, such as Robert Dussaut, &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erv_Wilson" rel="nofollow"&gt;Ervin Wilson&lt;/a&gt;, and others.&lt;br /&gt;
 &lt;br /&gt;
-. Restrictions on the variety of prime numbers used within a system, for example, 3 used with only one other prime (&lt;a class="wiki_link" href="/3and7JI"&gt;7&lt;/a&gt;, 11, or 13...). This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.&lt;br /&gt;
+. &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;Restrictions on the variety of prime numbers&lt;/a&gt; used within a system, for example, 3 used with only one [sic, also included is 2] other prime 7, 11, or 13.... This is quite common practice with Ptolemy, Ibn-Sina, Al-Farabi, and Saf-al-Din, and with numerous contemporary composers working in Just Intonation.&lt;br /&gt;
 &lt;br /&gt;
 . Restricting the denominator to one or very few values (the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;).&lt;br /&gt;