5L 3s: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 160517351 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 160518485 - 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>2010-09-05 18: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-05 18:32:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>160518485</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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<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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = approx. 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this: | <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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = approx. 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this: | ||
|| || || || || scale || g || 2g || | || || || || || scale || g in cents || 2g || | ||
|| 2\5 || || || || 1 0 1 1 0 1 0 1 || | || 2\5 || || || || 1 0 1 1 0 1 0 1 || 480.000 || 960.000 || | ||
|| || || || 9\23 || 4 1 4 4 1 4 1 4 || | || || || || 9\23 || 4 1 4 4 1 4 1 4 || 469.565 || 939.130 || | ||
|| || || 7\18 || || 3 1 3 3 1 3 1 3 || | || || || 7\18 || || 3 1 3 3 1 3 1 3 || 466.667 || 933.333 || | ||
|| || || || 12\31 || 5 2 5 5 2 5 2 5 || | || || || || 12\31 || 5 2 5 5 2 5 2 5 || 464.516 || 929.032 || | ||
|| || 5\13 || || || 2 1 2 2 1 2 1 2 || | || || 5\13 || || || 2 1 2 2 1 2 1 2 || 461.538 || 923.077 || | ||
|| || || || 13\34 || 5 3 5 5 3 5 3 5 || | || || || || 13\34 || 5 3 5 5 3 5 3 5 || 458.824 || 917.647 || | ||
|| || || 8\21 || || 3 2 3 3 2 3 2 3 || | || || || 8\21 || || 3 2 3 3 2 3 2 3 || 457.143 || 914.286 || | ||
|| || || || 11\29 || 4 3 4 4 3 4 3 4 || | || || || || 11\29 || 4 3 4 4 3 4 3 4 || 455.172 || 910.345 || | ||
|| 3\8 || || || || 1 1 1 1 1 1 1 1 || | || 3\8 || || || || 1 1 1 1 1 1 1 1 || 450.000 || 900.000 ||</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>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = approx. 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:<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>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = approx. 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:<br /> | ||
| Line 35: | Line 35: | ||
<td>scale<br /> | <td>scale<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g in cents<br /> | ||
</td> | </td> | ||
<td>2g<br /> | <td>2g<br /> | ||
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<td>1 0 1 1 0 1 0 1<br /> | <td>1 0 1 1 0 1 0 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td>480.000<br /> | ||
</td> | </td> | ||
<td><br /> | <td>960.000<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 67: | Line 67: | ||
<td>4 1 4 4 1 4 1 4<br /> | <td>4 1 4 4 1 4 1 4<br /> | ||
</td> | </td> | ||
<td><br /> | <td>469.565<br /> | ||
</td> | </td> | ||
<td><br /> | <td>939.130<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 83: | Line 83: | ||
<td>3 1 3 3 1 3 1 3<br /> | <td>3 1 3 3 1 3 1 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td>466.667<br /> | ||
</td> | </td> | ||
<td><br /> | <td>933.333<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 99: | Line 99: | ||
<td>5 2 5 5 2 5 2 5<br /> | <td>5 2 5 5 2 5 2 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>464.516<br /> | ||
</td> | </td> | ||
<td><br /> | <td>929.032<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>2 1 2 2 1 2 1 2<br /> | <td>2 1 2 2 1 2 1 2<br /> | ||
</td> | </td> | ||
<td><br /> | <td>461.538<br /> | ||
</td> | </td> | ||
<td><br /> | <td>923.077<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 131: | Line 131: | ||
<td>5 3 5 5 3 5 3 5<br /> | <td>5 3 5 5 3 5 3 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>458.824<br /> | ||
</td> | </td> | ||
<td><br /> | <td>917.647<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>3 2 3 3 2 3 2 3<br /> | <td>3 2 3 3 2 3 2 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td>457.143<br /> | ||
</td> | </td> | ||
<td><br /> | <td>914.286<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 163: | Line 163: | ||
<td>4 3 4 4 3 4 3 4<br /> | <td>4 3 4 4 3 4 3 4<br /> | ||
</td> | </td> | ||
<td><br /> | <td>455.172<br /> | ||
</td> | </td> | ||
<td><br /> | <td>910.345<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>1 1 1 1 1 1 1 1<br /> | <td>1 1 1 1 1 1 1 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td>450.000<br /> | ||
</td> | </td> | ||
<td><br /> | <td>900.000<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||