Andrew Heathwaite's MOS Investigations: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 270406062 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 270408400 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-31 16: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-31 16:38:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>270408400</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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4 3 3 3 3 3 3 .. -6 -5 -4 -3 -2 -1 0 | 4 3 3 3 3 3 3 .. -6 -5 -4 -3 -2 -1 0 | ||
== | ==Modes of Porcupine[7] that have one chromatic alteration== | ||
The following list includes all the modes that can be generated by shifting one tone of Porcupine[7] by one quartertone interval (chroma), which is one degree in 22edo. | The following list includes all the modes (hopefully) that can be generated by shifting one tone of Porcupine[7] by one quartertone interval (chroma), which is one degree in 22edo. Underscores represent gaps in the chain of Porcupine generators. Note that lowering a tone by one chroma means sending it forward 7 spaces in the chain of generators, while raising a tone by one chroma means sending it backward 7 spaces in the chain of generators. This is how we wind up with such large gaps in the chain. | ||
2 4 3 3 3 3 4 .. 0 _ 2 3 4 5 6 _ 8 | 2 4 3 3 3 3 4 .. 0 _ 2 3 4 5 6 _ 8 | ||
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4 3 3 3 3 3 3 .. -6 -5 -4 -3 -2 -1 0<br /> | 4 3 3 3 3 3 3 .. -6 -5 -4 -3 -2 -1 0<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Porcupine Chromaticism- | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Porcupine Chromaticism-Modes of Porcupine[7] that have one chromatic alteration"></a><!-- ws:end:WikiTextHeadingRule:6 -->Modes of Porcupine[7] that have one chromatic alteration</h2> | ||
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The following list includes all the modes that can be generated by shifting one tone of Porcupine[7] by one quartertone interval (chroma), which is one degree in 22edo.<br /> | The following list includes all the modes (hopefully) that can be generated by shifting one tone of Porcupine[7] by one quartertone interval (chroma), which is one degree in 22edo. Underscores represent gaps in the chain of Porcupine generators. Note that lowering a tone by one chroma means sending it forward 7 spaces in the chain of generators, while raising a tone by one chroma means sending it backward 7 spaces in the chain of generators. This is how we wind up with such large gaps in the chain.<br /> | ||
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2 4 3 3 3 3 4 .. 0 _ 2 3 4 5 6 _ 8<br /> | 2 4 3 3 3 3 4 .. 0 _ 2 3 4 5 6 _ 8<br /> | ||