1953 scale: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 567550777 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 567550925 - 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:MasonGreen1|MasonGreen1]] and made on <tt>2015-11-23 19: | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2015-11-23 19:19:23 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>567550925</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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|| Major whole tone || 7 || 3 || 9 || <span style="background-color: #ffffff;">9/8</span> || | || Major whole tone || 7 || 3 || 9 || <span style="background-color: #ffffff;">9/8</span> || | ||
|| 5/4-tone, tempered septimal whole tone, tempered septimal minor third || 16 || 4 || 11 || <span style="background-color: #ffffff;">15/13, 8/7*, 7/6*</span> || | || 5/4-tone, tempered septimal whole tone, tempered septimal minor third || 16 || 4 || 11 || <span style="background-color: #ffffff;">15/13, 8/7*, 7/6*</span> || | ||
|| Patent septimal minor third || 3 || 4 || 12 || <span style="background-color: #ffffff;">7/6 | || Patent septimal minor third || 3 || 4 || 12 || <span style="background-color: #ffffff;">7/6</span> || | ||
|| Pythagorean minor third || 1 || 5 || 13 || 32/27 || | || Pythagorean minor third || 1 || 5 || 13 || 32/27 || | ||
|| Pental minor third || 18 || 5 || 14 || 6/5 || | || Pental minor third || 18 || 5 || 14 || 6/5 || | ||
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|| Pental major third || 14 || 6 || 17 || 5/4 || | || Pental major third || 14 || 6 || 17 || 5/4 || | ||
|| Patent septimal major third || 9 || 7 || 19 || 9/7* || | || Patent septimal major third || 9 || 7 || 19 || 9/7* || | ||
|| Tempered septimal major third, Barbados third, father || 10 || 7 || 20 || 9/7 | || Tempered septimal major third, Barbados third, father || 10 || 7 || 20 || 9/7, <span style="background-color: #ffffff;">13/10</span> || | ||
|| Perfect fourth || 13 || 8 || 22 || 4/3 || | || Perfect fourth || 13 || 8 || 22 || 4/3 || | ||
|| Wolf fourth || 6 || 8 || 23 || 27/20 || | || Wolf fourth || 6 || 8 || 23 || 27/20 || | ||
|| Tridecimal augmented fourth, tempered lesser septimal tritone || 17 || 9 || 25 || 7/5*, 18/13 || | || Tridecimal augmented fourth, tempered lesser septimal tritone || 17 || 9 || 25 || 7/5*, 18/13 || | ||
|| Patent lesser septimal tritone || 2 || 9 || 26 || 7/5 | || Patent lesser septimal tritone || 2 || 9 || 26 || 7/5 || | ||
|| Patent greater septimal tritone || 2 || 10 || 27 || 10/7 | || Patent greater septimal tritone || 2 || 10 || 27 || 10/7 || | ||
|| Tridecimal diminished fifth, tempered greater septimal tritone || 17 || 10 || 28 || 10/7*, 13/9 || | || Tridecimal diminished fifth, tempered greater septimal tritone || 17 || 10 || 28 || 10/7*, 13/9 || | ||
|| Wolf fifth || 6 || 11 || 30 || 40/27 || | || Wolf fifth || 6 || 11 || 30 || 40/27 || | ||
|| Perfect fifth || 13 || 11 || 31 || 3/2 || | || Perfect fifth || 13 || 11 || 31 || 3/2 || | ||
Approximations using the alternate (non-patent) val for 7 are shown with an asterisk (*). | |||
* | |||
The 1953 scale, like the diatonic scale, possesses [[https://en.wikipedia.org/wiki/Myhill%27s_property|Myhill's property]]. It is also strictly proper (whereas the 12-equal-tempered diatonic scale is proper, but not strictly proper).</pre></div> | The 1953 scale, like the diatonic scale, possesses [[https://en.wikipedia.org/wiki/Myhill%27s_property|Myhill's property]]. It is also strictly proper (whereas the 12-equal-tempered diatonic scale is proper, but not strictly proper).</pre></div> | ||
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<td>12<br /> | <td>12<br /> | ||
</td> | </td> | ||
<td><span style="background-color: #ffffff;">7/6 | <td><span style="background-color: #ffffff;">7/6</span><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>20<br /> | <td>20<br /> | ||
</td> | </td> | ||
<td>9/7 | <td>9/7, <span style="background-color: #ffffff;">13/10</span><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>26<br /> | <td>26<br /> | ||
</td> | </td> | ||
<td>7/5 | <td>7/5<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>27<br /> | <td>27<br /> | ||
</td> | </td> | ||
<td>10/7 | <td>10/7<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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</table> | </table> | ||
Approximations using the alternate (non-patent) val for 7 are shown with an asterisk (*).<br /> | |||
<br /> | <br /> | ||
The 1953 scale, like the diatonic scale, possesses <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Myhill%27s_property" rel="nofollow">Myhill's property</a>. It is also strictly proper (whereas the 12-equal-tempered diatonic scale is proper, but not strictly proper).</body></html></pre></div> | The 1953 scale, like the diatonic scale, possesses <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Myhill%27s_property" rel="nofollow">Myhill's property</a>. It is also strictly proper (whereas the 12-equal-tempered diatonic scale is proper, but not strictly proper).</body></html></pre></div> | ||