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:~~hstraub~~|~~hstraub~~]] and made on <tt>2007-08-~~09 08~~:06:15 UTC</tt>.<br>

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2007-10-06 20:37:51 UTC</tt>.<br>

: The original revision id was <tt>~~6695159~~</tt>.<br>

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

: The revision comment was: <tt>~~Added more links to "the other" microtonal wiki (at riters.com). Will these one day be fused together - or is one at Ritesrs to be the "JI"-focused one?~~</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>

<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">=Just Intonation=

<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;white-space: pre-wrap ! important" class="old-revision-html">=Just Intonation defined=

~~== ==~~

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.

~~==Theory==~~

~~There~~ is [[http://~~moinmoin~~.~~riters~~.com/~~microtonal~~|~~another microtonal wiki~~]]~~, which contains some amount of just intonation theory. Here are, for now, just links~~.

=Freestyle Just=

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.

[[http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI|58 note 11 limit JI]]

=Constraints=

Create subsets of the infinitely large pool of ratios.

(insert Jacques Dudon article quote here)

==JI theory==

Links to JI theory pages on [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], pending transfer to this wiki:

[[http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI|58 note 11 limit JI]] - hyper-Partchian!

[[http://moinmoin.riters.com/microtonal/index.cgi/Reduction|Reduction]]

[[http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences|Comma sequences]]

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==Scales==

[[boogiewoogiescale|Boogie woogie scale]]

[[Arnold Dreyblatt]]</pre></div>

[[Arnold Dreyblatt]]

Gallery of pentatonics</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"></a>Just Intonation</h1>

<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>

<h2 id="toc1"> </h2>

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 />

<h2 id="toc2"><a name="~~Just Intonation-Theory~~"></a>~~Theory~~</h2>

<br />

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

~~There is~~ <~~a class="wiki_link_ext" href="http:~~/~~/moinmoin.riters.com/microtonal" rel="nofollow"~~>~~another microtonal wiki</a>, which contains some amount of just intonation theory. Here are, for now, just links.~~<br />

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>

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

<br />

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

<br />

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

<h2 id="toc3"><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 />

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

<a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences" rel="nofollow">Comma sequences</a><br />

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

<br />

<h2 id="~~toc3~~"><a name="~~Just Intonation~~-Scales"></a>Scales</h2>

<h2 id="toc4"><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></body></html></pre></div>

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

Gallery of pentatonics</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:hstraub|hstraub]] and made on <tt>2007-08-09 08:06:15 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2007-10-06 20:37:51 UTC</tt>.<br>
-: The original revision id was <tt>6695159</tt>.<br>
+: The original revision id was <tt>9074027</tt>.<br>
-: The revision comment was: <tt>Added more links to "the other" microtonal wiki (at riters.com). Will these one day be fused together - or is one at Ritesrs to be the "JI"-focused one?</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">=Just Intonation=
+<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;white-space: pre-wrap ! important" class="old-revision-html">=Just Intonation defined=
-== ==
+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.
-==Theory==
-There is [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], which contains some amount of just intonation theory. Here are, for now, just links.
+=Freestyle Just=
+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.
-[[http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI|58 note 11 limit JI]]
+=Constraints=
+Create subsets of the infinitely large pool of ratios.
+(insert Jacques Dudon article quote here)
+==JI theory==
+Links to JI theory pages on [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], pending transfer to this wiki:
+[[http://moinmoin.riters.com/microtonal/index.cgi/58Note11LimitJI|58 note 11 limit JI]] - hyper-Partchian!
 [[http://moinmoin.riters.com/microtonal/index.cgi/Reduction|Reduction]]
 [[http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences|Comma sequences]]
@@ Line 19: / Line 27: @@
 ==Scales==
 [[boogiewoogiescale|Boogie woogie scale]]
-[[Arnold Dreyblatt]]</pre></div>
+[[Arnold Dreyblatt]]
+Gallery of pentatonics</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"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Just Intonation&lt;/h1&gt;
+<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;
-  &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h2&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;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Just Intonation-Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Theory&lt;/h2&gt;
+&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;
-There is &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow"&gt;another microtonal wiki&lt;/a&gt;, which contains some amount of just intonation theory. Here are, for now, just links.&lt;br /&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;
+  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;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;&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;
+ 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;
 &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Reduction" rel="nofollow"&gt;Reduction&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Comma_20sequences" rel="nofollow"&gt;Comma sequences&lt;/a&gt;&lt;br /&gt;
 &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:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Just Intonation-Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Scales&lt;/h2&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;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;/body&gt;&lt;/html&gt;</pre></div>
+&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>