3L 3s: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 222576108 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 222583642 - Original comment: **
Line 1: Line 1:
<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:keenanpepper|keenanpepper]] and made on <tt>2011-04-24 20:40:53 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-24 21:28:43 UTC</tt>.<br>
: The original revision id was <tt>222576108</tt>.<br>
: The original revision id was <tt>222583642</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Associated with the [[augmented family]].
<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;white-space: pre-wrap ! important" class="old-revision-html">Associated with the [[augmented family]], which comprises the only significant minimum of harmonic entropy for these scales.
|| 0\3 ||  ||  ||  ||  ||  || 0 ||  ||
||||||||||~ Generator ||~ Cents ||~ Comments ||
||  ||  ||  ||  || 1\15 ||  || 80 ||  ||
|| 0\3 ||  ||  ||  ||  || 0 ||  ||
||  ||  ||  ||  ||  || 2\27 || 88.88 || Optimal augmented is around here ||
||  ||  ||  || 1\15 ||  || 80 ||  ||
||  ||  ||  || 1\12 ||  ||  || 100 ||  ||
||  ||  ||  ||  || 2\27 || 88.88 || Optimal augmented is around here ||
||  ||  || 1\9 ||  ||  ||  || 133.33 ||   ||
||  ||  || 1\12 ||  ||  || 100 ||  ||
||  || 1\6 ||  ||  ||  ||  || 200 ||  ||
||  || 1\9 ||  ||  ||  || 133.33 || Boundary of propriety for near-MOS ||
||  ||  || 2\9 ||  ||  ||  || 266.67 ||  ||
|| 1\6 ||  ||  ||  ||  || 200 ||  ||
|| 1\3 ||  ||  ||  ||  ||  || 400 ||  ||
The true MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs. The MOS is always proper but the other forms are only proper if the generator is larger than 1\9 of an octave (so not augmented).</pre></div>
True MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;3L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Associated with the &lt;a class="wiki_link" href="/augmented%20family"&gt;augmented family&lt;/a&gt;.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;3L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Associated with the &lt;a class="wiki_link" href="/augmented%20family"&gt;augmented family&lt;/a&gt;, which comprises the only significant minimum of harmonic entropy for these scales.&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th colspan="5"&gt;Generator&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Comments&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;0\3&lt;br /&gt;
         &lt;td&gt;0\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 40: Line 45:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 58: Line 61:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 76: Line 77:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 94: Line 93:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 108: Line 105:
         &lt;td&gt;133.33&lt;br /&gt;
         &lt;td&gt;133.33&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Boundary of propriety for near-MOS&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;1\6&lt;br /&gt;
         &lt;td&gt;1\6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 125: Line 120:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;200&lt;br /&gt;
         &lt;td&gt;200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;266.67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;400&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 167: Line 126:
&lt;/table&gt;
&lt;/table&gt;


True MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs.&lt;/body&gt;&lt;/html&gt;</pre></div>
The true MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs. The MOS is always proper but the other forms are only proper if the generator is larger than 1\9 of an octave (so not augmented).&lt;/body&gt;&lt;/html&gt;</pre></div>