Pretty Pictures: Difference between revisions
Wikispaces>xenwolf **Imported revision 133115191 - Original comment: ** |
Wikispaces>xenjacob **Imported revision 384878112 - 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:xenjacob|xenjacob]] and made on <tt>2012-11-21 19:15:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>384878112</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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* Pictures can facilitate understanding a particular concept of tuning, especially for visual learners. | * Pictures can facilitate understanding a particular concept of tuning, especially for visual learners. | ||
* Cross-pollinating aims: thinking visually or spatially may lead you to ideas for new tunings, and thinking about tunings may lead you to new ways to see. | * Cross-pollinating aims: thinking visually or spatially may lead you to ideas for new tunings, and thinking about tunings may lead you to new ways to see. | ||
* Some listeners report having [[visions]] when in the presence of a particular tuning or piece of music. | * Some listeners report having [[visions]]when in the presence of a particular tuning or piece of music. | ||
** Moreover, a small percent of people experience [[synaesthesia]] (seeing certain colors when they hear certain sounds, for example) | ** Moreover, a small percent of people experience [[synaesthesia]] (seeing certain colors when they hear certain sounds, for example) | ||
=Aids to composing= | =Aids to composing= | ||
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=Aids to understanding= | =Aids to understanding= | ||
===The rulers metaphor for microtonality=== | ===The rulers metaphor for microtonality=== | ||
Imagine a ruler with 12 inches on it. Now imagine one where, in the space of 12 inches, 13 equally spaced lines are drawn. Although these new lines are each only a little less than an inch apart from each other, they are clearly not "inches" and it would be silly to use them as such. If you used these 13ths of a foot to measure and estimate lengths frequently, you would | Imagine a ruler with 12 inches on it. Now imagine one where, in the space of 12 inches, 13 equally spaced lines are drawn. Although these new lines are each only a little less than an inch apart from each other, they are clearly not "inches" and it would be silly to use them as such. If you used these 13ths of a foot to measure and estimate lengths frequently, you would soonyourself rounding to this new set of lengths which before you would have rounded to inches. You might soon find yourself rounding something exactly 6 inches long to either 6 or 7 of these. My, what a crazy you must be! | ||
===The colors metaphor for microtonality=== | ===The colors metaphor for microtonality=== | ||
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===Equal divisions burst=== | ===Equal divisions burst=== | ||
[[image: | <span style="display: block; text-align: center;"> | ||
This is a polar graph of the values of all the fractions between 0 and 1 with numerator less than 32. The top represents both 0 and 1 (modulo 1); the fractions' values sweep clockwise; the closer to the center, the smaller the | |||
[[image:xenharmonic/panequalc.png width="640" height="609"]] | |||
</span> | |||
This is a polar graph of the values of all the fractions between 0 and 1 with numerator less than 32. The top represents both 0 and 1 (modulo 1); the fractions' values sweep clockwise; the closer to the center, the smaller the denominator. This graph accompanies the chart [[edo anatomy|Anatomy of an Equally Divided Octave]]. | |||
===JI, temperament Lattices=== | ===JI, temperament Lattices=== | ||
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<h4>Original HTML content:</h4> | <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>Pretty Pictures</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Connections between sound and vision"></a><!-- ws:end:WikiTextHeadingRule:0 -->Connections between sound and vision</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>Pretty Pictures</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Connections between sound and vision"></a><!-- ws:end:WikiTextHeadingRule:0 -->Connections between sound and vision</h1> | ||
<ul><li>Pictures can facilitate understanding a particular concept of tuning, especially for visual learners.</li><li>Cross-pollinating aims: thinking visually or spatially may lead you to ideas for new tunings, and thinking about tunings may lead you to new ways to see.</li><li>Some listeners report having <a class="wiki_link" href="/visions">visions</a> when in the presence of a particular tuning or piece of music.<ul><li>Moreover, a small percent of people experience <a class="wiki_link" href="/synaesthesia">synaesthesia</a> (seeing certain colors when they hear certain sounds, for example)</li></ul></li></ul><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Aids to composing"></a><!-- ws:end:WikiTextHeadingRule:2 -->Aids to composing</h1> | <ul><li>Pictures can facilitate understanding a particular concept of tuning, especially for visual learners.</li><li>Cross-pollinating aims: thinking visually or spatially may lead you to ideas for new tunings, and thinking about tunings may lead you to new ways to see.</li><li>Some listeners report having <a class="wiki_link" href="/visions">visions</a>when in the presence of a particular tuning or piece of music.<ul><li>Moreover, a small percent of people experience <a class="wiki_link" href="/synaesthesia">synaesthesia</a> (seeing certain colors when they hear certain sounds, for example)</li></ul></li></ul><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Aids to composing"></a><!-- ws:end:WikiTextHeadingRule:2 -->Aids to composing</h1> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="Aids to composing--Microtonal Notation"></a><!-- ws:end:WikiTextHeadingRule:4 -->Microtonal Notation</h3> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="Aids to composing--Microtonal Notation"></a><!-- ws:end:WikiTextHeadingRule:4 -->Microtonal Notation</h3> | ||
Usually, a ghastly extension of the five-line sharps-n-flats Western tradition, sometimes with more and/or differently-spaced lines, or fancy new squiggles for accidentals. See dedicated page on <a class="wiki_link" href="/notation">notation</a>.<br /> | Usually, a ghastly extension of the five-line sharps-n-flats Western tradition, sometimes with more and/or differently-spaced lines, or fancy new squiggles for accidentals. See dedicated page on <a class="wiki_link" href="/notation">notation</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Aids to understanding"></a><!-- ws:end:WikiTextHeadingRule:12 -->Aids to understanding</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Aids to understanding"></a><!-- ws:end:WikiTextHeadingRule:12 -->Aids to understanding</h1> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Aids to understanding--The rulers metaphor for microtonality"></a><!-- ws:end:WikiTextHeadingRule:14 -->The rulers metaphor for microtonality</h3> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Aids to understanding--The rulers metaphor for microtonality"></a><!-- ws:end:WikiTextHeadingRule:14 -->The rulers metaphor for microtonality</h3> | ||
Imagine a ruler with 12 inches on it. Now imagine one where, in the space of 12 inches, 13 equally spaced lines are drawn. Although these new lines are each only a little less than an inch apart from each other, they are clearly not &quot;inches&quot; and it would be silly to use them as such. If you used these 13ths of a foot to measure and estimate lengths frequently, you would | Imagine a ruler with 12 inches on it. Now imagine one where, in the space of 12 inches, 13 equally spaced lines are drawn. Although these new lines are each only a little less than an inch apart from each other, they are clearly not &quot;inches&quot; and it would be silly to use them as such. If you used these 13ths of a foot to measure and estimate lengths frequently, you would soonyourself rounding to this new set of lengths which before you would have rounded to inches. You might soon find yourself rounding something exactly 6 inches long to either 6 or 7 of these. My, what a crazy you must be!<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Aids to understanding--The colors metaphor for microtonality"></a><!-- ws:end:WikiTextHeadingRule:16 -->The colors metaphor for microtonality</h3> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Aids to understanding--The colors metaphor for microtonality"></a><!-- ws:end:WikiTextHeadingRule:16 -->The colors metaphor for microtonality</h3> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Aids to understanding--Equal divisions burst"></a><!-- ws:end:WikiTextHeadingRule:18 -->Equal divisions burst</h3> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Aids to understanding--Equal divisions burst"></a><!-- ws:end:WikiTextHeadingRule:18 -->Equal divisions burst</h3> | ||
< | <span style="display: block; text-align: center;"><br /> | ||
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<!-- ws:start:WikiTextLocalImageRule:34:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/panequalc.png/384877894/640x609/panequalc.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 609px; width: 640px;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/panequalc.png/384877894/640x609/panequalc.png" alt="panequalc.png" title="panequalc.png" style="height: 609px; width: 640px;" /><!-- ws:end:WikiTextLocalImageRule:34 --><br /> | |||
<br /> | |||
</span><br /> | |||
This is a polar graph of the values of all the fractions between 0 and 1 with numerator less than 32. The top represents both 0 and 1 (modulo 1); the fractions' values sweep clockwise; the closer to the center, the smaller the denominator. This graph accompanies the chart <a class="wiki_link" href="/edo%20anatomy">Anatomy of an Equally Divided Octave</a>.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Aids to understanding--JI, temperament Lattices"></a><!-- ws:end:WikiTextHeadingRule:20 -->JI, temperament Lattices</h3> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Aids to understanding--JI, temperament Lattices"></a><!-- ws:end:WikiTextHeadingRule:20 -->JI, temperament Lattices</h3> | ||
Tonalsoft's Tonescape makes it possible to compose with scales that are represented by two- or three-dimensional lattices. Tempering a comma out of a lattice turns it into a closed structure...</body></html></pre></div> | Tonalsoft's Tonescape makes it possible to compose with scales that are represented by two- or three-dimensional lattices. Tempering a comma out of a lattice turns it into a closed structure...</body></html></pre></div> | ||