Andrew Heathwaite's MOS Investigations: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 270653882 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 270690070 - 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>2011-11-01 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-01 12:38:15 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>270690070</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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So we can take advantage of the fact that two small steps in 22edo's Orwell[9] (2\22) make one "larger" step (4\22). If 9 tones is a few too many, we can turn some 2+2's into 4's. So for instance, the first example above goes: | So we can take advantage of the fact that two small steps in 22edo's Orwell[9] (2\22) make one "larger" step (4\22). If 9 tones is a few too many, we can turn some 2+2's into 4's. So for instance, the first example above goes: | ||
3 3 2 2 3 2 3 2 2 | 3 3 2 2 3 2 3 2 2 | ||
3 3 4 3 2 3 4. | 3 3 4 3 2 3 4. | ||
| Line 167: | Line 167: | ||
4 4 7 1 4 1 7 | 4 4 7 1 4 1 7 | ||
Not even close!</pre></div> | Not even close! | ||
=Names for steps= | |||
This is getting silly! We need better names..... | |||
So, as proposed on the page for [[MODMOS Scales]], we could call L-s a "chroma" and abbreviate it "c". That's a good start. | |||
We have another step that's s-c, or s-(L-s) = s-L+s = 2s-L. In Porcupine[7] in 22edo, that's: | |||
s-c = 3\22-1\22 = 2\22 | |||
or | |||
2s-L = 2(3\22)-4\22 = 6\22-4\22 = 2\22. | |||
Some kind of diminished step? | |||
And we have another step that's L+c, or L+(L-s) = 2L-s. In Porcupine[7] in 22edo, that's: | |||
L+c = 4\22+1\22 = 5\22 | |||
or | |||
2L-s = 2(4\22)-3\22 = 8\22-3\22 = 5\22. | |||
Some kind of augmented step? | |||
Mike Battaglia proposes (at least in the case of Porcupine) "d" for s-c and "A" for L+c....</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>Andrew Heathwaite's MOS Investigations</title></head><body>Ok, this is a page for me, Andrew Heathwaite, to organize my thoughts and questions regarding <a class="wiki_link" href="/MOSScales">Moment of Symmetry Scales</a>.<br /> | <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>Andrew Heathwaite's MOS Investigations</title></head><body>Ok, this is a page for me, Andrew Heathwaite, to organize my thoughts and questions regarding <a class="wiki_link" href="/MOSScales">Moment of Symmetry Scales</a>.<br /> | ||
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So we can take advantage of the fact that two small steps in 22edo's Orwell[9] (2\22) make one &quot;larger&quot; step (4\22). If 9 tones is a few too many, we can turn some 2+2's into 4's. So for instance, the first example above goes:<br /> | So we can take advantage of the fact that two small steps in 22edo's Orwell[9] (2\22) make one &quot;larger&quot; step (4\22). If 9 tones is a few too many, we can turn some 2+2's into 4's. So for instance, the first example above goes:<br /> | ||
<br /> | <br /> | ||
3 3 2 2 3 2 3 2 2 <br /> | 3 3 2 2 3 2 3 2 2<br /> | ||
3 3 4 3 2 3 4.<br /> | 3 3 4 3 2 3 4.<br /> | ||
<br /> | <br /> | ||
| Line 314: | Line 334: | ||
4 4 7 1 4 1 7<br /> | 4 4 7 1 4 1 7<br /> | ||
<br /> | <br /> | ||
Not even close!</body></html></pre></div> | Not even close!<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Names for steps"></a><!-- ws:end:WikiTextHeadingRule:10 -->Names for steps</h1> | |||
<br /> | |||
This is getting silly! We need better names.....<br /> | |||
<br /> | |||
So, as proposed on the page for <a class="wiki_link" href="/MODMOS%20Scales">MODMOS Scales</a>, we could call L-s a &quot;chroma&quot; and abbreviate it &quot;c&quot;. That's a good start.<br /> | |||
<br /> | |||
We have another step that's s-c, or s-(L-s) = s-L+s = 2s-L. In Porcupine[7] in 22edo, that's:<br /> | |||
s-c = 3\22-1\22 = 2\22<br /> | |||
or<br /> | |||
2s-L = 2(3\22)-4\22 = 6\22-4\22 = 2\22.<br /> | |||
Some kind of diminished step?<br /> | |||
<br /> | |||
And we have another step that's L+c, or L+(L-s) = 2L-s. In Porcupine[7] in 22edo, that's:<br /> | |||
L+c = 4\22+1\22 = 5\22<br /> | |||
or<br /> | |||
2L-s = 2(4\22)-3\22 = 8\22-3\22 = 5\22.<br /> | |||
Some kind of augmented step?<br /> | |||
<br /> | |||
Mike Battaglia proposes (at least in the case of Porcupine) &quot;d&quot; for s-c and &quot;A&quot; for L+c....</body></html></pre></div> | |||