MOS scale: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 101990339 - Original comment: added internal link** |
Wikispaces>guest **Imported revision 105842765 - 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>2009-11-29 12:04:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>105842765</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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Not all mathematical possibilities are listed - solutions of the equation that would yield too "exotic" scale steps (too small/too big diffference between s and L) are excluded. (The concrete - sort of arbitrary - restrictions applied were: a solution appears if 7/6 < L/s < 5.) | Not all mathematical possibilities are listed - solutions of the equation that would yield too "exotic" scale steps (too small/too big diffference between s and L) are excluded. (The concrete - sort of arbitrary - restrictions applied were: a solution appears if 7/6 < L/s < 5.) | ||
[[PentatonicMOS|Pentatonic MOS]] | || [[PentatonicMOS|Pentatonic MOS]] || || || || || || [[1L 4s]] || || [[2L 3s]] || || [[3L 2s]] || || [[4L 1s]] || || || || || || | ||
[[HexatonicMOS|Hexatonic MOS]] | || [[HexatonicMOS|Hexatonic MOS]] || || || || || [[1L 5s]] || || [[2L 4s]] || || [[3L 3s]] || || [[4L 2s]] || || [[5L 1s]] || || || || || | ||
[[HeptatonicMOS|Heptatonic MOS]] | || [[HeptatonicMOS|Heptatonic MOS]] || || || || [[1L 6s]] || || [[2L 5s]] || || [[3L 4s]] || || [[4L 3s]] || || [[5L 2s]] || || [[6L 1s]] || || || || | ||
[[OctatonicMOS|Octatonic MOS]] | || [[OctatonicMOS|Octatonic MOS]] || || || [[1L 7s]] || || [[2L 6s]] || || [[3L 5s]] || || [[4L 4s]] || || [[5L 3s]] || || [[6L 2s]] || || [[7L 1s]] || || || | ||
[[NonatonicMOS|Nonatonic MOS]] | || [[NonatonicMOS|Nonatonic MOS]] || || [[1L 8s]] || || [[2L 7s]] || || [[3L 6s] || || [[4L 5s]] || || [[5L 4s]] || || [[6L 3s]] || || [[7L 2s]] || || [[8L 1s]] || || | ||
[[DecatonicMOS|Decatonic MOS]] | || [[DecatonicMOS|Decatonic MOS]] || [[1L 9s]] || || [[2L 8s]] || || [[3L 7s]] || || [[4L 6s]] || || [[5L 5s]] || || [[6L 4s]] || || [[7L 3s]] || || [[8L 2s]] || || [[9L 1s]] || | ||
<span style="color: #0000ee;"> | <span style="color: #0000ee;"> </span> | ||
</span> | |||
=MOS As Applied To Rhythms= | =MOS As Applied To Rhythms= | ||
David Canright was the first to suggest Fibonacci Rhythms in 1/1. This lead to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here [[http://anaphoria.com/hora.PDF]] and [[http://anaphoria.com/horo2.PDF]] | David Canright was the first to suggest Fibonacci Rhythms in 1/1. This lead to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here [[http://anaphoria.com/hora.PDF]] and [[http://anaphoria.com/horo2.PDF]] | ||
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Not all mathematical possibilities are listed - solutions of the equation that would yield too &quot;exotic&quot; scale steps (too small/too big diffference between s and L) are excluded. (The concrete - sort of arbitrary - restrictions applied were: a solution appears if 7/6 &lt; L/s &lt; 5.)<br /> | Not all mathematical possibilities are listed - solutions of the equation that would yield too &quot;exotic&quot; scale steps (too small/too big diffference between s and L) are excluded. (The concrete - sort of arbitrary - restrictions applied were: a solution appears if 7/6 &lt; L/s &lt; 5.)<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/PentatonicMOS">Pentatonic MOS</a><br /> | |||
<a class="wiki_link" href="/HexatonicMOS">Hexatonic MOS</a><br /> | |||
<a class="wiki_link" href="/HeptatonicMOS">Heptatonic MOS</a><br /> | <table class="wiki_table"> | ||
<a class="wiki_link" href="/OctatonicMOS">Octatonic MOS</a><br /> | <tr> | ||
<a class="wiki_link" href="/NonatonicMOS">Nonatonic MOS</a><br /> | <td><a class="wiki_link" href="/PentatonicMOS">Pentatonic MOS</a><br /> | ||
<a class="wiki_link" href="/DecatonicMOS">Decatonic MOS</a><br /> | </td> | ||
< | <td><br /> | ||
</span><br /> | </td> | ||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%204s">1L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%203s">2L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%202s">3L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%201s">4L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/HexatonicMOS">Hexatonic MOS</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%205s">1L 5s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%204s">2L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%203s">3L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%202s">4L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%201s">5L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/HeptatonicMOS">Heptatonic MOS</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%206s">1L 6s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%205s">2L 5s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%204s">3L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%203s">4L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%202s">5L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%201s">6L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/OctatonicMOS">Octatonic MOS</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%207s">1L 7s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%206s">2L 6s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%205s">3L 5s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%204s">4L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%203s">5L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%202s">6L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/7L%201s">7L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/NonatonicMOS">Nonatonic MOS</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%208s">1L 8s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%207s">2L 7s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>[[3L 6s]<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%205s">4L 5s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%204s">5L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%203s">6L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/7L%202s">7L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/8L%201s">8L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/DecatonicMOS">Decatonic MOS</a><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%209s">1L 9s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%208s">2L 8s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%207s">3L 7s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%206s">4L 6s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%205s">5L 5s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%204s">6L 4s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/7L%203s">7L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/8L%202s">8L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/9L%201s">9L 1s</a><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<span style="color: #0000ee;"> </span><br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="MOS As Applied To Rhythms"></a><!-- ws:end:WikiTextHeadingRule:8 -->MOS As Applied To Rhythms</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="MOS As Applied To Rhythms"></a><!-- ws:end:WikiTextHeadingRule:8 -->MOS As Applied To Rhythms</h1> | ||
David Canright was the first to suggest Fibonacci Rhythms in 1/1. This lead to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here <a class="wiki_link_ext" href="http://anaphoria.com/hora.PDF" rel="nofollow">http://anaphoria.com/hora.PDF</a> and <a class="wiki_link_ext" href="http://anaphoria.com/horo2.PDF" rel="nofollow">http://anaphoria.com/horo2.PDF</a><br /> | David Canright was the first to suggest Fibonacci Rhythms in 1/1. This lead to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here <a class="wiki_link_ext" href="http://anaphoria.com/hora.PDF" rel="nofollow">http://anaphoria.com/hora.PDF</a> and <a class="wiki_link_ext" href="http://anaphoria.com/horo2.PDF" rel="nofollow">http://anaphoria.com/horo2.PDF</a><br /> | ||
MOS structures and thinking can be applied to the design of rhythms as well. See <a class="wiki_link" href="/MOS%20Rhythm%20Tutorial">MOS Rhythm Tutorial</a></body></html></pre></div> | MOS structures and thinking can be applied to the design of rhythms as well. See <a class="wiki_link" href="/MOS%20Rhythm%20Tutorial">MOS Rhythm Tutorial</a></body></html></pre></div> | ||