Otones12-24: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 68458829 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 68488423 - 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>2009-04-19 15:23:39 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-04-19 19:33:46 UTC</tt>.<br>
: The original revision id was <tt>68458829</tt>.<br>
: The original revision id was <tt>68488423</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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|| B-23 || 74 || 212 || 341 || 460 || 572 || 677 || 776 || 869 || 958 || 1043 || 1123 || 0 ||
|| B-23 || 74 || 212 || 341 || 460 || 572 || 677 || 776 || 869 || 958 || 1043 || 1123 || 0 ||


You can see that, due to the varying step sizes, this relatively small scale contains a large number of unique rational intervals up to the 23-limit.</pre></div>
You can see that, due to the varying step sizes, this relatively small scale contains a large number of unique rational intervals up to the 23-limit.
 
===Inventory of intervals from 0 to 1200 cents:===
 
0 - 1/1 - ...
74 - 24/23 - B-C
77 - 23/22 - A#-B
81 - 22/21 - A-A#
84 - 21/20 - G#-A
89 - 20/19 - G-G#
94 - 19/18 - F#-G
99 - 18/17 - F-F#
105 - 17/16 - E-F
112 - 16/15 - D#-E
119 - 15/14 - D-D#
128 - 14/13 - C#-D
139 - 13/12 - C-C#
151 - 12/11 - A#-C
157 - 23/21 - A-B
165 - 11/10 - A#-B#
173 - 21/19 - G-A
182 - 10/9 - F#-G#
193 - 19/17 - F-G
204 - 9/8 - E-F#
212 - 26/23 - B-C#
217 - 17/15 - D#-F
231 - 8/7 - D-E ; A-C
242 - 23/20 - G#-B
248 - 15/13 - C#-D#
254 - 22/19 - G-A#
267 - 7/6 - C-D ; F#-A
281 - 20/17 - F-G#
289 - 13/11 - A#-C#
316 - 6/5 - D#-F# ; G#-C
331 - 23/19 - G-B
336 - 17/14 - D-F
347 - 11/9 - F#-A#
359 - 16/13 - C#-E
366 - 21/17 - F-A
370 - 26/21 - A-C#
386 - 5/4 - C-D# ; E-G#
404 - 24/19 - G-C
409 - 19/15 - D#-G
418 - 14/11 - A#-D
424 - 23/18 - F#-B
435 - 9/7 - D-F#
446 - 22/17 - F-A#
454 - 13/10 - G#-C#
460 - 30/23 - B-D#
464 - 17/13 - C#-F
471 - 21/16 - E-A
498 - 4/3 - C-E ; D#-G# ; F#-C ; A-D
523 - 23/17 - F-B
529 - 19/14 - D-G
537 - 15/11 - A#-D#
543 - 26/19 - G-C#
551 - 11/8 - E-A
563 - 18/13 - C#-F#
572 - 32/23 - B-E
583 - 7/5 - D#-A ; G#-D
597 - 24/17 - F-C
 
603 - 17/12 - C-F
617 - 10/7 - D-G# ; A-D#
628 - 23/16 - E-B
637 - 13/9 - F#-C#
649 - 16/11 - A-E
657 - 19/13 - C#-G
663 - 22/15 - D#-A#
671 - 28/19 - G-D
677 - 34/23 - B-F
... </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">&lt;html&gt;&lt;head&gt;&lt;title&gt;otones12-24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A dedecatonic (12-note) scale borrowed from the overtone series:&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;otones12-24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A dedecatonic (12-note) scale borrowed from the overtone series:&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
You can see that, due to the varying step sizes, this relatively small scale contains a large number of unique rational intervals up to the 23-limit.&lt;/body&gt;&lt;/html&gt;</pre></div>
You can see that, due to the varying step sizes, this relatively small scale contains a large number of unique rational intervals up to the 23-limit.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-modes-Inventory of intervals from 0 to 1200 cents:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Inventory of intervals from 0 to 1200 cents:&lt;/h3&gt;
&lt;br /&gt;
0 - 1/1 - ...&lt;br /&gt;
74 - 24/23 - B-C&lt;br /&gt;
77 - 23/22 - A#-B&lt;br /&gt;
81 - 22/21 - A-A#&lt;br /&gt;
84 - 21/20 - G#-A&lt;br /&gt;
89 - 20/19 - G-G#&lt;br /&gt;
94 - 19/18 - F#-G&lt;br /&gt;
99 - 18/17 - F-F#&lt;br /&gt;
105 - 17/16 - E-F&lt;br /&gt;
112 - 16/15 - D#-E&lt;br /&gt;
119 - 15/14 - D-D#&lt;br /&gt;
128 - 14/13 - C#-D&lt;br /&gt;
139 - 13/12 - C-C#&lt;br /&gt;
151 - 12/11 - A#-C&lt;br /&gt;
157 - 23/21 - A-B&lt;br /&gt;
165 - 11/10 - A#-B#&lt;br /&gt;
173 - 21/19 - G-A&lt;br /&gt;
182 - 10/9 - F#-G#&lt;br /&gt;
193 - 19/17 - F-G&lt;br /&gt;
204 - 9/8 - E-F#&lt;br /&gt;
212 - 26/23 - B-C#&lt;br /&gt;
217 - 17/15 - D#-F&lt;br /&gt;
231 - 8/7 - D-E ; A-C&lt;br /&gt;
242 - 23/20 - G#-B&lt;br /&gt;
248 - 15/13 - C#-D#&lt;br /&gt;
254 - 22/19 - G-A#&lt;br /&gt;
267 - 7/6 - C-D ; F#-A&lt;br /&gt;
281 - 20/17 - F-G#&lt;br /&gt;
289 - 13/11 - A#-C#&lt;br /&gt;
316 - 6/5 - D#-F# ; G#-C&lt;br /&gt;
331 - 23/19 - G-B&lt;br /&gt;
336 - 17/14 - D-F&lt;br /&gt;
347 - 11/9 - F#-A#&lt;br /&gt;
359 - 16/13 - C#-E&lt;br /&gt;
366 - 21/17 - F-A&lt;br /&gt;
370 - 26/21 - A-C#&lt;br /&gt;
386 - 5/4 - C-D# ; E-G#&lt;br /&gt;
404 - 24/19 - G-C&lt;br /&gt;
409 - 19/15 - D#-G&lt;br /&gt;
418 - 14/11 - A#-D&lt;br /&gt;
424 - 23/18 - F#-B&lt;br /&gt;
435 - 9/7 - D-F#&lt;br /&gt;
446 - 22/17 - F-A#&lt;br /&gt;
454 - 13/10 - G#-C#&lt;br /&gt;
460 - 30/23 - B-D#&lt;br /&gt;
464 - 17/13 - C#-F&lt;br /&gt;
471 - 21/16 - E-A&lt;br /&gt;
498 - 4/3 - C-E ; D#-G# ; F#-C ; A-D&lt;br /&gt;
523 - 23/17 - F-B&lt;br /&gt;
529 - 19/14 - D-G&lt;br /&gt;
537 - 15/11 - A#-D#&lt;br /&gt;
543 - 26/19 - G-C#&lt;br /&gt;
551 - 11/8 - E-A&lt;br /&gt;
563 - 18/13 - C#-F#&lt;br /&gt;
572 - 32/23 - B-E&lt;br /&gt;
583 - 7/5 - D#-A ; G#-D&lt;br /&gt;
597 - 24/17 - F-C&lt;br /&gt;
&lt;br /&gt;
603 - 17/12 - C-F&lt;br /&gt;
617 - 10/7 - D-G# ; A-D#&lt;br /&gt;
628 - 23/16 - E-B&lt;br /&gt;
637 - 13/9 - F#-C#&lt;br /&gt;
649 - 16/11 - A-E&lt;br /&gt;
657 - 19/13 - C#-G&lt;br /&gt;
663 - 22/15 - D#-A#&lt;br /&gt;
671 - 28/19 - G-D&lt;br /&gt;
677 - 34/23 - B-F&lt;br /&gt;
...&lt;/body&gt;&lt;/html&gt;</pre></div>