7edo: Difference between revisions
Wikispaces>k9assassin **Imported revision 555718671 - Original comment: ** |
Wikispaces>k9assassin **Imported revision 555719691 - 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:k9assassin|k9assassin]] and made on <tt>2015-07-24 | : This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-07-24 20:43:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>555719691</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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Equal-heptatonic scales are used in non-western music in African cultures as well as an intregal part of early Thai and early Chinese music. It has been speculated in "Indian music:history and structure", that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones). | Equal-heptatonic scales are used in non-western music in African cultures as well as an intregal part of early Thai and early Chinese music. It has been speculated in "Indian music:history and structure", that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones). | ||
7-tet can be thought of as result of stacking seven 11/9s on top of each other, and then tempering to remove the comma (2^-2 3^-14 11^7). As a temperament, William Lynch gives it the name "Neutron[7]" just as the whole tone scale of 12 ET is known as "Hexe[6]". | 7-tet can be thought of as result of stacking seven 11/9s on top of each other, and then tempering to remove the comma (2^-2 3^-14 11^7). As a temperament, William Lynch gives it the name "Neutron[7]" just as the whole tone scale of 12 ET is known as "Hexe[6]". | ||
Typically, 7-edo exists as the tuning for pentatonic scales in traditional thai music with the other two pitches acting as auxiliary tones. However, it can be used as an interesting diatonic scale choice as well in tunings such as 14 EDO or 21 EDO. | Typically, 7-edo exists as the tuning for pentatonic scales in traditional thai music with the other two pitches acting as auxiliary tones. However, it can be used as an interesting diatonic scale choice as well in tunings such as 14 EDO or 21 EDO. | ||
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7-edo is the third [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. | 7-edo is the third [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. | ||
=Alphabet= | |||
William lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO. | |||
The alphabet can be written in three ways: | |||
Plain numbers: 1 2 3 4 5 6 7 | |||
In Japanese number abbreviations: い に さん し ご ろ な い | |||
In Chinese/Kanji numbers: 一 二 三 四 五 六七 | |||
=== === | === === | ||
=Music= | =Music= | ||
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[[media type="custom" key="23473438"]]</pre></div> | [[media type="custom" key="23473438"]]</pre></div> | ||
<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>7edo</title></head><body><!-- ws:start:WikiTextTocRule: | <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>7edo</title></head><body><!-- ws:start:WikiTextTocRule:24:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><a href="#x&quot;Neutral diatonic&quot; or &quot;Neutron[7]&quot;">&quot;Neutral diatonic&quot; or &quot;Neutron[7]&quot;</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Intervals in 7-edo">Intervals in 7-edo</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Related scales">Related scales</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> | <a href="#Alphabet">Alphabet</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="x&quot;Neutral diatonic&quot; or &quot;Neutron[7]&quot;"></a><!-- ws:end:WikiTextHeadingRule:2 -->&quot;Neutral diatonic&quot; or &quot;Neutron[7]&quot;</h1> | ||
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7-edo divides the 1200-cent <a class="wiki_link" href="/octave">octave</a> into 7 equal parts, making its smallest interval <a class="wiki_link" href="/cent">171.428¢</a>, or the seventh root of 2. It is the fourth <a class="wiki_link" href="/prime%20numbers">prime</a> edo, after <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a> and <a class="wiki_link" href="/5edo">5edo</a>.<br /> | 7-edo divides the 1200-cent <a class="wiki_link" href="/octave">octave</a> into 7 equal parts, making its smallest interval <a class="wiki_link" href="/cent">171.428¢</a>, or the seventh root of 2. It is the fourth <a class="wiki_link" href="/prime%20numbers">prime</a> edo, after <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a> and <a class="wiki_link" href="/5edo">5edo</a>.<br /> | ||
<br /> | <br /> | ||
Equal-heptatonic scales are used in non-western music in African cultures as well as an intregal part of early Thai and early Chinese music. It has been speculated in &quot;Indian music:history and structure&quot;, that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones).<br /> | Equal-heptatonic scales are used in non-western music in African cultures as well as an intregal part of early Thai and early Chinese music. It has been speculated in &quot;Indian music:history and structure&quot;, that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones).<br /> | ||
7-tet can be thought of as result of stacking seven 11/9s on top of each other, and then tempering to remove the comma (2^-2 3^-14 11^7). As a temperament, William Lynch gives it the name &quot;Neutron[7]&quot; just as the whole tone scale of 12 ET is known as &quot;Hexe[6]&quot;. <br /> | 7-tet can be thought of as result of stacking seven 11/9s on top of each other, and then tempering to remove the comma (2^-2 3^-14 11^7). As a temperament, William Lynch gives it the name &quot;Neutron[7]&quot; just as the whole tone scale of 12 ET is known as &quot;Hexe[6]&quot;.<br /> | ||
<br /> | <br /> | ||
Typically, 7-edo exists as the tuning for pentatonic scales in traditional thai music with the other two pitches acting as auxiliary tones. However, it can be used as an interesting diatonic scale choice as well in tunings such as 14 EDO or 21 EDO.<br /> | Typically, 7-edo exists as the tuning for pentatonic scales in traditional thai music with the other two pitches acting as auxiliary tones. However, it can be used as an interesting diatonic scale choice as well in tunings such as 14 EDO or 21 EDO.<br /> | ||
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7-edo is the third <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>.<br /> | 7-edo is the third <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id=" | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc7"><a name="Alphabet"></a><!-- ws:end:WikiTextHeadingRule:16 -->Alphabet</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | William lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO. <br /> | ||
The alphabet can be written in three ways: <br /> | |||
Plain numbers: 1 2 3 4 5 6 7 <br /> | |||
In Japanese number abbreviations: い に さん し ご ろ な い<br /> | |||
In Chinese/Kanji numbers: 一 二 三 四 五 六七 <br /> | |||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc8"><!-- ws:end:WikiTextHeadingRule:18 --> </h3> | |||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc9"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h1> | |||
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<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3" rel="nofollow">Pagan's Revenge</a> by Bill Sethares (synthetic gamelan)<br /> | <a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/PagansRevenge.mp3" rel="nofollow">Pagan's Revenge</a> by Bill Sethares (synthetic gamelan)<br /> | ||
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<a class="wiki_link_ext" href="http://media.soundcloud.com/stream/IUcgFYhtu3Rk?stream_token=4QIvd" rel="nofollow">Sävelmä</a> by <a class="wiki_link_ext" href="http://soundcloud.com/juhani-nuorvala/s-velm-long-version" rel="nofollow">Juhani Nuorvala</a><br /> | <a class="wiki_link_ext" href="http://media.soundcloud.com/stream/IUcgFYhtu3Rk?stream_token=4QIvd" rel="nofollow">Sävelmä</a> by <a class="wiki_link_ext" href="http://soundcloud.com/juhani-nuorvala/s-velm-long-version" rel="nofollow">Juhani Nuorvala</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc10"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:22 -->Commas</h1> | ||
7 EDO tempers out the following commas. (Note: This assumes val &lt; 7 11 16 20 24 26 |.)<br /> | 7 EDO tempers out the following commas. (Note: This assumes val &lt; 7 11 16 20 24 26 |.)<br /> | ||
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