7L 8s: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 532253544 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 540907760 - 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:JosephRuhf|JosephRuhf]] and made on <tt> | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-13 12:50:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>540907760</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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||||||||||~ Generator ||~ scale ||~ g ||~ 2g ||~ 3g ||~ 4g ||~ 5g ||~ 6g ||~ 7g ||~ Comments || | ||||||||||~ Generator ||~ scale ||~ g ||~ 2g ||~ 3g ||~ 4g ||~ 5g ||~ 6g ||~ 7g ||~ Comments || | ||
||= 2\15 ||= ||= ||= || ||= 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||= || | ||= 2\15 ||= ||= ||= || ||= 1 1 1 1 1 1 1 1 | ||
|| || || || || 9\67 || 5 4 5 4 5 4 5 4 5 4 5 4 5 4 | 1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||= || | ||
||= ||= ||= ||= 7\52 || ||= 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||= || | || || || || || 9\67 ||= 4 5 4 5 4 5 4 5 | ||
||= ||= ||= 5\37 ||= || ||= 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine || | 4 5 4 5 4 5 4 ||= 161.2 ||= 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 || || | ||
|| || || || || 13\96 || 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 || 162.5 || 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi || | ||= ||= ||= ||= 7\52 || ||= 3 4 3 4 3 4 3 4 | ||
||= ||= ||= ||= 8\59 || ||= 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||= || | 3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||= || | ||
||= ||= 3\22 ||= ||= || ||= 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators | ||= ||= ||= 5\37 ||= || ||= 2 3 2 3 2 3 2 3 | ||
2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine || | |||
|| || || || || 13\96 ||= 5 8 5 8 5 8 5 8 | |||
5 8 5 8 5 8 5 ||= 162.5 ||= 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi || | |||
||= ||= ||= ||= 8\59 || ||= 3 5 3 5 3 5 3 5 | |||
3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||= || | |||
||= ||= 3\22 ||= ||= || ||= 1 2 1 2 1 2 1 2 | |||
1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators | |||
smaller than this are proper) || | smaller than this are proper) || | ||
||= ||= ||= ||= 7\51 || ||= 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||= || | ||= ||= ||= ||= 7\51 || ||= 2 5 2 5 2 5 2 5 | ||
||= ||= ||= 4\29 ||= || ||= 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||= || | 2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||= || | ||
||= ||= ||= ||= 5\36 || ||= 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||= || | || || || || || ||= 1 2.97 1 2.97 etc. ||= 165.48 ||= 330.96 || 496.4 || 662.0 || 827.4 || 992.9 || 1158.8 || <span style="display: block; text-align: center;">L/s=3/2^(1/75)</span> || | ||
|| || || || || 6\43 || 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 || 167.4 || 334.9 || 502.3 || 669.8 || 837.2 || 1004.65 || 1172.1 || || | ||= ||= ||= 4\29 ||= || ||= 1 3 1 3 1 3 1 3 | ||
||= 1\7 ||= ||= ||= || ||= 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 ||= 171.4 ||= 342.9 ||= 514.3 ||= 685.7 || 857.1 || 1028.6 || 1200.0 ||= ||</pre></div> | 1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||= || | ||
|| || || || || ||= 1 3.03 1 3.03 etc. ||= 165.6 ||= 331.1 || 496.7 || 662.2 || 827.8 || 993.3 || 1158.9 || <span style="display: block; text-align: center;">L/s=3*2^(1/75)</span> || | |||
||= ||= ||= ||= 5\36 || ||= 1 4 1 4 1 4 1 4 | |||
1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||= || | |||
|| || || || || 6\43 ||= 1 5 1 5 1 5 1 5 | |||
1 5 1 5 1 5 1 ||= 167.4 ||= 334.9 || 502.3 || 669.8 || 837.2 || 1004.65 || 1172.1 || || | |||
||= 1\7 ||= ||= ||= || ||= 0 1 0 1 0 1 0 1 | |||
0 1 0 1 0 1 0 ||= 171.4 ||= 342.9 ||= 514.3 ||= 685.7 || 857.1 || 1028.6 || 1200.0 ||= ||</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>7L 8s</title></head><body>7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is <a class="wiki_link" href="/porcupine">porcupine</a>, of the <a class="wiki_link" href="/porcupine%20family">porcupine family</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>7L 8s</title></head><body>7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is <a class="wiki_link" href="/porcupine">porcupine</a>, of the <a class="wiki_link" href="/porcupine%20family">porcupine family</a>.<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">1 1 1 1 1 1 1 1 1 1 1 1 1 1 1<br /> | <td style="text-align: center;">1 1 1 1 1 1 1 1<br /> | ||
1 1 1 1 1 1 1<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">160.0<br /> | <td style="text-align: center;">160.0<br /> | ||
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<td>9\67<br /> | <td>9\67<br /> | ||
</td> | </td> | ||
<td>5 4 5 4 5 4 5 4 5 4 5 4 5 4 | <td style="text-align: center;">4 5 4 5 4 5 4 5 <br /> | ||
4 5 4 5 4 5 4<br /> | |||
</td> | </td> | ||
<td>161.2<br /> | <td style="text-align: center;">161.2<br /> | ||
</td> | </td> | ||
<td>322.4<br /> | <td style="text-align: center;">322.4<br /> | ||
</td> | </td> | ||
<td>483.6<br /> | <td>483.6<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">3 4 3 4 3 4 3 4 3 4 3 4 3 4 3<br /> | <td style="text-align: center;">3 4 3 4 3 4 3 4<br /> | ||
3 4 3 4 3 4 3<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">161.5<br /> | <td style="text-align: center;">161.5<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">2 3 2 3 2 3 2 3 2 3 2 3 2 3 2<br /> | <td style="text-align: center;">2 3 2 3 2 3 2 3 <br /> | ||
2 3 2 3 2 3 2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">162.2<br /> | <td style="text-align: center;">162.2<br /> | ||
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<td>13\96<br /> | <td>13\96<br /> | ||
</td> | </td> | ||
<td>5 8 5 8 5 8 5 8 5 8 5 8 5 8 5<br /> | <td style="text-align: center;">5 8 5 8 5 8 5 8 <br /> | ||
5 8 5 8 5 8 5<br /> | |||
</td> | </td> | ||
<td>162.5<br /> | <td style="text-align: center;">162.5<br /> | ||
</td> | </td> | ||
<td>325<br /> | <td style="text-align: center;">325<br /> | ||
</td> | </td> | ||
<td>487.5<br /> | <td>487.5<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">3 5 3 5 3 5 3 5 3 5 3 5 3 5 3<br /> | <td style="text-align: center;">3 5 3 5 3 5 3 5<br /> | ||
3 5 3 5 3 5 3<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">162.7<br /> | <td style="text-align: center;">162.7<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">1 2 1 2 1 2 1 2 1 2 1 2 1 2 1<br /> | <td style="text-align: center;">1 2 1 2 1 2 1 2 <br /> | ||
1 2 1 2 1 2 1<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">163.6<br /> | <td style="text-align: center;">163.6<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">2 5 2 5 2 5 2 5 2 5 2 5 2 5 2<br /> | <td style="text-align: center;">2 5 2 5 2 5 2 5<br /> | ||
2 5 2 5 2 5 2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">164.7<br /> | <td style="text-align: center;">164.7<br /> | ||
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</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">1 2.97 1 2.97 etc.<br /> | |||
</td> | |||
<td style="text-align: center;">165.48<br /> | |||
</td> | |||
<td style="text-align: center;">330.96<br /> | |||
</td> | |||
<td>496.4<br /> | |||
</td> | |||
<td>662.0<br /> | |||
</td> | |||
<td>827.4<br /> | |||
</td> | |||
<td>992.9<br /> | |||
</td> | |||
<td>1158.8<br /> | |||
</td> | |||
<td><span style="display: block; text-align: center;">L/s=3/2^(1/75)</span><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">1 3 1 3 1 3 1 3 1 3 1 3 1 3 1<br /> | <td style="text-align: center;">1 3 1 3 1 3 1 3<br /> | ||
1 3 1 3 1 3 1<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">165.5<br /> | <td style="text-align: center;">165.5<br /> | ||
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</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">1 3.03 1 3.03 etc.<br /> | |||
</td> | |||
<td style="text-align: center;">165.6<br /> | |||
</td> | |||
<td style="text-align: center;">331.1<br /> | |||
</td> | |||
<td>496.7<br /> | |||
</td> | |||
<td>662.2<br /> | |||
</td> | |||
<td>827.8<br /> | |||
</td> | |||
<td>993.3<br /> | |||
</td> | |||
<td>1158.9<br /> | |||
</td> | |||
<td><span style="display: block; text-align: center;">L/s=3*2^(1/75)</span><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">1 4 1 4 1 4 1 4 1 4 1 4 1 4 1<br /> | <td style="text-align: center;">1 4 1 4 1 4 1 4<br /> | ||
1 4 1 4 1 4 1<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">166.7<br /> | <td style="text-align: center;">166.7<br /> | ||
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<td>6\43<br /> | <td>6\43<br /> | ||
</td> | </td> | ||
<td>1 5 1 5 1 5 1 5 1 5 1 5 1 5 1<br /> | <td style="text-align: center;">1 5 1 5 1 5 1 5<br /> | ||
1 5 1 5 1 5 1<br /> | |||
</td> | </td> | ||
<td>167.4<br /> | <td style="text-align: center;">167.4<br /> | ||
</td> | </td> | ||
<td>334.9<br /> | <td style="text-align: center;">334.9<br /> | ||
</td> | </td> | ||
<td>502.3<br /> | <td>502.3<br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">0 1 0 1 0 1 0 1 0 1 0 1 0 1 0<br /> | <td style="text-align: center;">0 1 0 1 0 1 0 1<br /> | ||
0 1 0 1 0 1 0<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">171.4<br /> | <td style="text-align: center;">171.4<br /> | ||