Just intonation: Difference between revisions
Wikispaces>hstraub **Imported revision 9120421 - Original comment: Pages for compositions in JI** |
Wikispaces>guest **Imported revision 9236813 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2007-10-10 05:39:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>9236813</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | 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> | <h4>Original Wikitext content:</h4> | ||
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==[[OverToneSeries|Compositions]]== | ==[[OverToneSeries|Compositions]]== | ||
=Freestyle Just | =Freestyle Just= | ||
= = | |||
=Adaptive Just Intonation= | |||
Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting! | Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting! | ||
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=Constraints= | =Constraints= | ||
Create subsets of the infinitely large pool of ratios. | Create subsets of the infinitely large pool of ratios by setting constraints. Here are six ways (from Jacques Dudon, "Differential Coherence", //1/1// vol. 11, no. 2: p.1): | ||
( | //1. The principle of "[[harmonic limits]]," which sets a threshold in order to place a limit on the largest prime number in any ratio (cf: Tanner's "psycharithmes" and his ordering by complexity; Gioseffe Zarlino's five-limit "senario," and the like; Helmholtz's theory of consonance with its "blending of partials," which, like the others, results in giving priority to the lowest prime numbers). | ||
2. Restrictions on the combinations of numbers that make up the numerator and denominator of the ratios under consideration, such as the "monophonic" system of Harry Partch's [[tonality diamond]]. This, incidentially, is an eleven-limit system that only makes use of ratios of the form n:d, where n and d are drawn only from harmonics 1,3 5 7 9, 11, or their octaves. | |||
3. Other theorists who, in contrast to the above, advocate the use of the products of a given set of prime numbers, such as Robert Dussaut, 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 (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]]). | |||
6. Restricting the numerator to one or a very few values (the [[subharmonic series]] or [[aliquot scales]]).// | |||
**Broken** links to JI theory pages on [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], which await 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/58Note11LimitJI|58 note 11 limit JI]] - hyper-Partchian! | ||
[[http://moinmoin.riters.com/microtonal/index.cgi/Reduction|Reduction]] | [[http://moinmoin.riters.com/microtonal/index.cgi/Reduction|Reduction]] | ||
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[[http://moinmoin.riters.com/microtonal/index.cgi/Hahn_20distance|Hahn distance]] | [[http://moinmoin.riters.com/microtonal/index.cgi/Hahn_20distance|Hahn distance]] | ||
== | ==Scalesmith's gallery of Just Intonation scales== | ||
[[boogiewoogiescale|Boogie woogie scale]] | [[boogiewoogiescale|Boogie woogie scale]] | ||
[[Arnold Dreyblatt]] | [[Arnold Dreyblatt]] | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Overtone Series-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 --><a class="wiki_link" href="/OverToneSeries">Compositions</a></h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Overtone Series-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 --><a class="wiki_link" href="/OverToneSeries">Compositions</a></h2> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Freestyle Just/Adaptive Just Intonation"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Freestyle Just"></a><!-- ws:end:WikiTextHeadingRule:6 -->Freestyle Just</h1> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><!-- ws:end:WikiTextHeadingRule:8 --> </h1> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Adaptive Just Intonation"></a><!-- ws:end:WikiTextHeadingRule:10 -->Adaptive Just Intonation</h1> | |||
Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!<br /> | Compose music such that each pitch you choose is chosen from the infinitely large pool of rational numbers. Daunting!<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Adaptive Just Intonation-Software"></a><!-- ws:end:WikiTextHeadingRule:12 -->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 /> | <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 /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><!-- ws:end:WikiTextHeadingRule:14 --> </h2> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Adaptive Just Intonation-Compositions"></a><!-- ws:end:WikiTextHeadingRule:16 --><a class="wiki_link" href="/AdaptiveJI">Compositions</a></h2> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Constraints"></a><!-- ws:end:WikiTextHeadingRule:18 -->Constraints</h1> | ||
Create subsets of the infinitely large pool of ratios.<br /> | Create subsets of the infinitely large pool of ratios by setting constraints. Here are six ways (from Jacques Dudon, &quot;Differential Coherence&quot;, <em>1/1</em> vol. 11, no. 2: p.1):<br /> | ||
<br /> | |||
<em>1. The principle of &quot;<a class="wiki_link" href="/harmonic%20limits">harmonic limits</a>,&quot; which sets a threshold in order to place a limit on the largest prime number in any ratio (cf: Tanner's &quot;psycharithmes&quot; and his ordering by complexity; Gioseffe Zarlino's five-limit &quot;senario,&quot; and the like; Helmholtz's theory of consonance with its &quot;blending of partials,&quot; which, like the others, results in giving priority to the lowest prime numbers).<br /> | |||
<br /> | |||
2. Restrictions on the combinations of numbers that make up the numerator and denominator of the ratios under consideration, such as the &quot;monophonic&quot; system of Harry Partch's <a class="wiki_link" href="/tonality%20diamond">tonality diamond</a>. This, incidentially, is an eleven-limit system that only makes use of ratios of the form n:d, where n and d are drawn only from harmonics 1,3 5 7 9, 11, or their octaves.<br /> | |||
<br /> | |||
3. Other theorists who, in contrast to the above, advocate the use of the products of a given set of prime numbers, such as Robert Dussaut, Ervin Wilson, and others.<br /> | |||
<br /> | |||
4. Restrictions on the variety of prime numbers used within a system, for example, 3 used with only one 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.<br /> | |||
<br /> | |||
5. Restricting the denominator to one or very few values (the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>).<br /> | |||
<br /> | <br /> | ||
( | 6. Restricting the numerator to one or a very few values (the <a class="wiki_link" href="/subharmonic%20series">subharmonic series</a> or <a class="wiki_link" href="/aliquot%20scales">aliquot scales</a>).</em><br /> | ||
<br /> | <br /> | ||
< | <strong>Broken</strong> links to JI theory pages on <a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow">another microtonal wiki</a>, which await 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/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/Reduction" rel="nofollow">Reduction</a><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 /> | <a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal/index.cgi/Hahn_20distance" rel="nofollow">Hahn distance</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Constraints-Scalesmith's gallery of Just Intonation scales"></a><!-- ws:end:WikiTextHeadingRule:20 -->Scalesmith's gallery of Just Intonation scales</h2> | ||
<a class="wiki_link" href="/boogiewoogiescale">Boogie woogie scale</a><br /> | <a class="wiki_link" href="/boogiewoogiescale">Boogie woogie scale</a><br /> | ||
<a class="wiki_link" href="/Arnold%20Dreyblatt">Arnold Dreyblatt</a><br /> | <a class="wiki_link" href="/Arnold%20Dreyblatt">Arnold Dreyblatt</a><br /> | ||
Gallery of pentatonics<br /> | Gallery of pentatonics<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Constraints-Compositions"></a><!-- ws:end:WikiTextHeadingRule:22 --><a class="wiki_link" href="/FiniteSubsetJI">Compositions</a></h2> | ||
</body></html></pre></div> | </body></html></pre></div> |