Just intonation: 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:~~xenjacob~~|~~xenjacob~~]] and made on <tt>2007-10-06 20:37:51 UTC</tt>.<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2007-10-08 06:15:52 UTC</tt>.<br>

: The original revision id was <tt>~~9074027~~</tt>.<br>

: The original revision id was <tt>9120421</tt>.<br>

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

: The revision comment was: <tt>Pages for compositions in JI</tt><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>

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Describe intervals between pitches by specifying ratios (of [[http://en.wikipedia.org/wiki/Rational_number|rational numbers]]) between the frequencies of pitches, and you will be speaking Just Intonation.

=Freestyle Just=

=Overtone Series=

(Insert theory/description here...)

==[[OverToneSeries|Compositions]]==

=Freestyle Just/Adaptive Just Intonation=

Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!

Chuckk Hubbard's [[http://www.badmuthahubbard.com/jisequencer.html|No-scale JI Sequencer]] ~~could help~~.

==Software==

* Chuckk Hubbard's [[http://www.badmuthahubbard.com/jisequencer.html|No-scale JI Sequencer]]

* [[http://www.math.tu-dresden.de/%7Emutabor/|Mutabor]]

== ==

==[[AdaptiveJI|Compositions]]==

=Constraints=

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[[boogiewoogiescale|Boogie woogie scale]]

[[Arnold Dreyblatt]]

Gallery of pentatonics</pre></div>

Gallery of pentatonics

==[[FiniteSubsetJI|Compositions]]== </pre></div>

<h4>Original HTML content:</h4>

<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>Just intonation</title></head><body><h1 id="toc0"><a name="Just Intonation defined"></a>Just Intonation defined</h1>

Describe intervals between pitches by specifying ratios (of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rational_number" rel="nofollow">rational numbers</a>) between the frequencies of pitches, and you will be speaking Just Intonation.<br />

<br />

<h1 id="toc1"><a name="Freestyle Just"></a>Freestyle Just</h1>

<h1 id="toc1"><a name="Overtone Series"></a>Overtone Series</h1>

(Insert theory/description here...)<br />

<br />

<h2 id="toc2"><a name="Overtone Series-Compositions"></a><a class="wiki_link" href="/OverToneSeries">Compositions</a></h2>

<br />

<h1 id="toc3"><a name="Freestyle Just/Adaptive Just Intonation"></a>Freestyle Just/Adaptive Just Intonation</h1>

Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!<br />

~~Chuckk Hubbard's <a class="wiki_link_ext" href="http://www.badmuthahubbard.com/jisequencer.html" rel="nofollow">No-scale JI Sequencer</a> could help.<br />~~

<br />

<h1 id="~~toc2~~"><a name="Constraints"></a>Constraints</h1>

<h2 id="toc4"><a name="Freestyle Just/Adaptive Just Intonation-Software"></a>Software</h2>

<ul><li>Chuckk Hubbard's <a class="wiki_link_ext" href="http://www.badmuthahubbard.com/jisequencer.html" rel="nofollow">No-scale JI Sequencer</a></li><li><a class="wiki_link_ext" href="http://www.math.tu-dresden.de/%7Emutabor/" rel="nofollow">Mutabor</a></li></ul><br />

<h2 id="toc5"> </h2>

<h2 id="toc6"><a name="Freestyle Just/Adaptive Just Intonation-Compositions"></a><a class="wiki_link" href="/AdaptiveJI">Compositions</a></h2>

<br />

<h1 id="toc7"><a name="Constraints"></a>Constraints</h1>

Create subsets of the infinitely large pool of ratios.<br />

<br />

(insert Jacques Dudon article quote here)<br />

<br />

<h2 id="~~toc3~~"><a name="Constraints-JI theory"></a>JI theory</h2>

<h2 id="toc8"><a name="Constraints-JI theory"></a>JI theory</h2>

Links to JI theory pages on <a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow">another microtonal wiki</a>, pending transfer to this wiki:<br />

<a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI" rel="nofollow">58 note 11 limit JI</a> - hyper-Partchian!<br />

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<a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Hahn_20distance" rel="nofollow">Hahn distance</a><br />

<br />

<h2 id="~~toc4~~"><a name="Constraints-Scales"></a>Scales</h2>

<h2 id="toc9"><a name="Constraints-Scales"></a>Scales</h2>

<a class="wiki_link" href="/boogiewoogiescale">Boogie woogie scale</a><br />

<a class="wiki_link" href="/Arnold%20Dreyblatt">Arnold Dreyblatt</a><br />

Gallery of pentatonics</body></html></pre></div>

Gallery of pentatonics<br />

<br />

<h2 id="toc10"><a name="Constraints-Compositions"></a><a class="wiki_link" href="/FiniteSubsetJI">Compositions</a></h2>

</body></html></pre></div>

@@ 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:xenjacob|xenjacob]] and made on <tt>2007-10-06 20:37:51 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2007-10-08 06:15:52 UTC</tt>.<br>
-: The original revision id was <tt>9074027</tt>.<br>
+: The original revision id was <tt>9120421</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>Pages for compositions in JI</tt><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>
@@ Line 9: / Line 9: @@
 Describe intervals between pitches by specifying ratios (of [[http://en.wikipedia.org/wiki/Rational_number|rational numbers]]) between the frequencies of pitches, and you will be speaking Just Intonation.
-=Freestyle Just=
+=Overtone Series=
+(Insert theory/description here...)
+==[[OverToneSeries|Compositions]]==
+=Freestyle Just/Adaptive Just Intonation=
 Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!
-Chuckk Hubbard's [[http://www.badmuthahubbard.com/jisequencer.html|No-scale JI Sequencer]] could help.
+==Software==
+* Chuckk Hubbard's [[http://www.badmuthahubbard.com/jisequencer.html|No-scale JI Sequencer]]
+* [[http://www.math.tu-dresden.de/%7Emutabor/|Mutabor]]
+== ==
+==[[AdaptiveJI|Compositions]]==
 =Constraints=
@@ Line 28: / Line 39: @@
 [[boogiewoogiescale|Boogie woogie scale]]
 [[Arnold Dreyblatt]]
-Gallery of pentatonics</pre></div>
+Gallery of pentatonics
+==[[FiniteSubsetJI|Compositions]]== </pre></div>
 <h4>Original HTML content:</h4>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Just intonation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Just Intonation defined"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just Intonation defined&lt;/h1&gt;
   Describe intervals between pitches by specifying ratios (of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rational_number" rel="nofollow"&gt;rational numbers&lt;/a&gt;) between the frequencies of pitches, and you will be speaking Just Intonation.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Freestyle Just"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Freestyle Just&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Overtone Series"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Overtone Series&lt;/h1&gt;
+ (Insert theory/description here...)&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Overtone Series-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/OverToneSeries"&gt;Compositions&lt;/a&gt;&lt;/h2&gt;
+ &lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Freestyle Just/Adaptive Just Intonation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Freestyle Just/Adaptive Just Intonation&lt;/h1&gt;
   Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!&lt;br /&gt;
-Chuckk Hubbard's &lt;a class="wiki_link_ext" href="http://www.badmuthahubbard.com/jisequencer.html" rel="nofollow"&gt;No-scale JI Sequencer&lt;/a&gt; could help.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Constraints"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Constraints&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Freestyle Just/Adaptive Just Intonation-Software"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Software&lt;/h2&gt;
+ &lt;ul&gt;&lt;li&gt;Chuckk Hubbard's &lt;a class="wiki_link_ext" href="http://www.badmuthahubbard.com/jisequencer.html" rel="nofollow"&gt;No-scale JI Sequencer&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.math.tu-dresden.de/%7Emutabor/" rel="nofollow"&gt;Mutabor&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; &lt;/h2&gt;
+ &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Freestyle Just/Adaptive Just Intonation-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;&lt;a class="wiki_link" href="/AdaptiveJI"&gt;Compositions&lt;/a&gt;&lt;/h2&gt;
+ &lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Constraints"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Constraints&lt;/h1&gt;
   Create subsets of the infinitely large pool of ratios.&lt;br /&gt;
 &lt;br /&gt;
 (insert Jacques Dudon article quote here)&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Constraints-JI theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;JI theory&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Constraints-JI theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;JI theory&lt;/h2&gt;
   Links to JI theory pages on &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow"&gt;another microtonal wiki&lt;/a&gt;, pending transfer to this wiki:&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI" rel="nofollow"&gt;58 note 11 limit JI&lt;/a&gt; - hyper-Partchian!&lt;br /&gt;
@@ Line 49: / Line 71: @@
 &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Hahn_20distance" rel="nofollow"&gt;Hahn distance&lt;/a&gt;&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="Constraints-Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Scales&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Constraints-Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Scales&lt;/h2&gt;
   &lt;a class="wiki_link" href="/boogiewoogiescale"&gt;Boogie woogie scale&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="/Arnold%20Dreyblatt"&gt;Arnold Dreyblatt&lt;/a&gt;&lt;br /&gt;
-Gallery of pentatonics&lt;/body&gt;&lt;/html&gt;</pre></div>
+Gallery of pentatonics&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Constraints-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;a class="wiki_link" href="/FiniteSubsetJI"&gt;Compositions&lt;/a&gt;&lt;/h2&gt;
+&lt;/body&gt;&lt;/html&gt;</pre></div>