2L 3s: Difference between revisions
Wikispaces>guest **Imported revision 324240626 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 384205648 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-19 21:08:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>384205648</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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|| || || || || || 11\27 || 488.89 || 222.22 || 44.44 || 177.78 || 6 5 5 6 5 ||= Slendro (insofar as it resembles a MOS) | || || || || || || 11\27 || 488.89 || 222.22 || 44.44 || 177.78 || 6 5 5 6 5 ||= Slendro (insofar as it resembles a MOS) | ||
would be in this region || | would be in this region || | ||
|| || || || || 9\22 || || 490.91 || 218.18 || 54.55 || 163.64 || 5 4 4 5 4 || || | || || || || || 9\22 || || 490.91 || 218.18 || 54.55 || 163.64 || 5 4 4 5 4 ||= || | ||
|| || || || || || 16\39 || 492.31 || 215.38 || 61.54 || 153.85 || 9 7 7 9 7 ||= No-5's superpyth/dominant is around here || | || || || || || || 16\39 || 492.31 || 215.38 || 61.54 || 153.85 || 9 7 7 9 7 ||= No-5's superpyth/dominant is around here || | ||
|| || || || 7\17 || || || 494.12 || 211.76 || 70.59 || 141.18 || 4 3 3 4 3 || || | || || || || 7\17 || || || 494.12 || 211.76 || 70.59 || 141.18 || 4 3 3 4 3 ||= || | ||
|| || || || || 12\29 || || 496.55 || 206.9 || 82.76 || 124.14 || 7 5 5 7 5 || || | || || || || || 12\29 || || 496.55 || 206.9 || 82.76 || 124.14 || 7 5 5 7 5 ||= || | ||
|| || || || || || 17\41 || 497.56 || 204.88 || 87.8 || 117.07 || 10 7 7 10 7 ||= Pythagorean pentatonic is around here || | || || || || || || 17\41 || 497.56 || 204.88 || 87.8 || 117.07 || 10 7 7 10 7 ||= Pythagorean pentatonic is around here || | ||
|| || || 5\12 || || || || 500 || 200 || 100 || 100 || 3 2 2 3 2 ||= Familiar 12-equal pentatonic | || || || 5\12 || || || || 500 || 200 || 100 || 100 || 3 2 2 3 2 ||= Familiar 12-equal pentatonic | ||
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|| || || || || || || 1200/(4-phi) || 192.43 || 118.93 || 73.50 || phi 1 1 phi 1 ||= Golden meantone || | || || || || || || || 1200/(4-phi) || 192.43 || 118.93 || 73.50 || phi 1 1 phi 1 ||= Golden meantone || | ||
|| || || || || || 21\50 || 504 || 192 || 120 || 72 || 13 8 8 13 8 ||= || | || || || || || || 21\50 || 504 || 192 || 120 || 72 || 13 8 8 13 8 ||= || | ||
|| || || || 8\19 || || || 505.26 || 189.47 || 126.32 || 63.16 || 5 3 3 5 3 || || | || || || || 8\19 || || || 505.26 || 189.47 || 126.32 || 63.16 || 5 3 3 5 3 ||= || | ||
|| || 3\7 || || || || || 514.29 || 171.43 || 171.43 || 0 || 2 1 1 2 1 ||= (Boundary of propriety: smaller | || || 3\7 || || || || || 514.29 || 171.43 || 171.43 || 0 || 2 1 1 2 1 ||= (Boundary of propriety: smaller | ||
generators than this are strictly proper) || | generators than this are strictly proper) || | ||
|| || || || 7\16 || || || 525 || 150 || 225 || 75 || 5 2 2 5 2 ||= 5-note subset of pelog (insofar as it | || || || || 7\16 || || || 525 || 150 || 225 || 75 || 5 2 2 5 2 ||= 5-note subset of pelog (insofar as it | ||
resembles a MOS) would be in this region || | resembles a MOS) would be in this region || | ||
|| || || 4\9 || || || || 533.33 || 133.33 || 266.67 || 133.33 || 3 1 1 3 1 || | || || || 4\9 || || || || 533.33 || 133.33 || 266.67 || 133.33 || 3 1 1 3 1 ||= Boundary of "practicality" begins around here || | ||
|| || || || 5\11 || || || 545.45 || 109.09 || 327.27 || 218.18 || 4 1 1 4 1 || | || || || || 5\11 || || || 545.45 || 109.09 || 327.27 || 218.18 || 4 1 1 4 1 ||= Boundary of "practicality" ends around here || | ||
|| 1\2 || || || || || || 600 || 0 || 600 || 600 || 1 0 0 1 0 || || | || 1\2 || || || || || || 600 || 0 || 600 || 600 || 1 0 0 1 0 ||= || | ||
From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | ||
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<td>5 4 4 5 4<br /> | <td>5 4 4 5 4<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>4 3 3 4 3<br /> | <td>4 3 3 4 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>7 5 5 7 5<br /> | <td>7 5 5 7 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 373: | Line 373: | ||
<td>5 3 3 5 3<br /> | <td>5 3 3 5 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>3 1 1 3 1<br /> | <td>3 1 1 3 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">Boundary of &quot;practicality&quot; begins around here<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>4 1 1 4 1<br /> | <td>4 1 1 4 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">Boundary of &quot;practicality&quot; ends around here<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>1 0 0 1 0<br /> | <td>1 0 0 1 0<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||