2L 4s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>keenanpepper
**Imported revision 222626906 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 222748046 - 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>2011-04-25 03:37:18 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-25 13:51:53 UTC</tt>.<br>
: The original revision id was <tt>222626906</tt>.<br>
: The original revision id was <tt>222748046</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>
Line 9: Line 9:


In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\2 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  || 0 ||  ||
|| 0\2 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  || 0 ||  ||
Line 30: Line 32:
&lt;br /&gt;
&lt;br /&gt;
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.&lt;br /&gt;
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.&lt;br /&gt;
&lt;br /&gt;
Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.&lt;br /&gt;





Revision as of 13:51, 25 April 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author keenanpepper and made on 2011-04-25 13:51:53 UTC.
The original revision id was 222748046.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of harmonic entropy is [[Diaschismic family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is **half** of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine family|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\2 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 0 ||   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   || 1\24 ||   || 50 ||   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 2\46 || 52.17 || Shrutar is around here ||
||   ||   ||   ||   ||   ||   ||   ||   || 1\22 ||   ||   || 54.55 ||   ||
||   ||   ||   ||   ||   ||   ||   || 1\20 ||   ||   ||   || 60 ||   ||
||   ||   ||   ||   ||   ||   || 1\18 ||   ||   ||   ||   || 66.67 ||   ||
||   ||   ||   ||   ||   || 1\16 ||   ||   ||   ||   ||   || 75 ||   ||
||   ||   ||   ||   || 1\14 ||   ||   ||   ||   ||   ||   || 85.71 ||   ||
||   ||   ||   || 1\12 ||   ||   ||   ||   ||   ||   ||   || 100 ||   ||
||   ||   ||   ||   || 2\22 ||   ||   ||   ||   ||   ||   || 109.09 || Srutal/Pajara is around here ||
||   ||   || 1\10 ||   ||   ||   ||   ||   ||   ||   ||   || 120 ||   ||
||   || 1\8 ||   ||   ||   ||   ||   ||   ||   ||   ||   || 150 ||= Boundary of propriety (generators
larger than this are proper) ||
||   ||   ||   || 3\22 ||   ||   ||   ||   ||   ||   ||   || 163.64 || Hedgehog is around here ||
||   ||   || 2\14 ||   ||   ||   ||   ||   ||   ||   ||   || 171.43 ||   ||
|| 1\6 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 200 ||   ||

Original HTML content:

<html><head><title>2L 4s</title></head><body>The only scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern that's a really significant minimum of harmonic entropy is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is <strong>half</strong> of that (about a quartertone), so 3/2 is a period plus two generators; and <a class="wiki_link" href="/Porcupine%20family">hedgehog</a>, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).<br />
<br />
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.<br />
<br />
Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.<br />


<table class="wiki_table">
    <tr>
        <th colspan="11">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>0\2<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\24<br />
</td>
        <td><br />
</td>
        <td>50<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\46<br />
</td>
        <td>52.17<br />
</td>
        <td>Shrutar is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>54.55<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\20<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>60<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\18<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>66.67<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>85.71<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109.09<br />
</td>
        <td>Srutal/Pajara is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>150<br />
</td>
        <td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>163.64<br />
</td>
        <td>Hedgehog is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>171.43<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1\6<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>200<br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>