Prime harmonic series: Difference between revisions
Wikispaces>danterosati **Imported revision 176983675 - Original comment: ** |
Wikispaces>danterosati **Imported revision 176990617 - 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:danterosati|danterosati]] and made on <tt>2010-11- | : This revision was by author [[User:danterosati|danterosati]] and made on <tt>2010-11-06 00:07:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>176990617</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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Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless. | Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless. | ||
---- | ---- | ||
The prime heptatonic scale can be notated like this: | |||
16:17:20:22:24:26:28:(32) | |||
giving the following step sizes: | |||
|| 17/16 || 20/17 || 22/20 | |||
(11/10) || 24/22 | |||
(12/11) || 26/24 | |||
(13/12) || 28/26 | |||
(14/13) || 32/28 | |||
(8/7) || | |||
|| 104.96 || 281.36 || 165 || 150.64 || 138.57 || 128.3 || 231.17 || | |||
The prime dodecatonic scale can be notated: | |||
32:34:37:38:40:44:46:48:52:56:58:62:(64) | 32:34:37:38:40:44:46:48:52:56:58:62:(64) | ||
giving these step sizes: | |||
|| 34/32 | || 34/32 | ||
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<br /> | <br /> | ||
Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless.<br /> | Of course, as in scales derived from the full series, there is nothing that says one must start at the beginning of the series or include consecutive members only. The possibilities are endless.<br /> | ||
<br /> | |||
<br /> | |||
<hr /> | <hr /> | ||
<br /> | <br /> | ||
The prime heptatonic scale can be notated like this:<br /> | |||
<br /> | |||
16:17:20:22:24:26:28:(32)<br /> | |||
<br /> | |||
giving the following step sizes:<br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>17/16<br /> | |||
</td> | |||
<td>20/17<br /> | |||
</td> | |||
<td>22/20<br /> | |||
(11/10)<br /> | |||
</td> | |||
<td>24/22<br /> | |||
(12/11)<br /> | |||
</td> | |||
<td>26/24<br /> | |||
(13/12)<br /> | |||
</td> | |||
<td>28/26<br /> | |||
(14/13)<br /> | |||
</td> | |||
<td>32/28<br /> | |||
(8/7)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>104.96<br /> | |||
</td> | |||
<td>281.36<br /> | |||
</td> | |||
<td>165<br /> | |||
</td> | |||
<td>150.64<br /> | |||
</td> | |||
<td>138.57<br /> | |||
</td> | |||
<td>128.3<br /> | |||
</td> | |||
<td>231.17<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
The prime dodecatonic scale can be notated:<br /> | |||
<br /> | <br /> | ||
32:34:37:38:40:44:46:48:52:56:58:62:(64)<br /> | 32:34:37:38:40:44:46:48:52:56:58:62:(64)<br /> | ||
<br /> | <br /> | ||
giving these step sizes:<br /> | |||
<br /> | <br /> | ||