Tuning systems for qanun: Difference between revisions

Wikispaces>hstraub
**Imported revision 254655006 - Original comment: **
Wikispaces>hstraub
**Imported revision 254681672 - 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:hstraub|hstraub]] and made on <tt>2011-09-16 03:44:48 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-16 07:04:30 UTC</tt>.<br>
: The original revision id was <tt>254655006</tt>.<br>
: The original revision id was <tt>254681672</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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||  ||  ||  ||  ||  ||  ||  ||  ||
||  ||  ||  ||  ||  ||  ||  ||  ||
|| 90 || 112 || **128** || **141** || **153** || **166** || 182 || 204 ||
|| 90 || 112 || **128** || **141** || **153** || **166** || 182 || 204 ||
||  ||  ||  ||  ||  ||  ||  ||  ||
|| 294 || 316 || **332** || **345** || **357** || **370** || 386 || 408 ||
|| 294 || 316 || **332** || **345** || **357** || **370** || 386 || 408 ||


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J.J. Weiss
J.J. Weiss
35/32: 155.14 cents
35/32: 155.14 cents
Interval table (cents):
||  ||  ||  ||  ||  ||  ||  ||  ||
|| 90 || 112 || **126** || **138.99** || **155.13** || **168** || 182 || 204 ||
|| 294 || 316 || **330** || **342.90** || **359** || **372** || 386 || 408 ||
Interval table of just intervals:
XXX
XXX


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For the steps in between, additional symbols are used - altogether 7 symbols for raising pitches and 7 for lowering pitches.&lt;br /&gt;
For the steps in between, additional symbols are used - altogether 7 symbols for raising pitches and 7 for lowering pitches.&lt;br /&gt;
This gives 15 potential different pitches per base note. Seven base notes (C, D, E, F, G, A, B or Do, Re, Mi, Fa, Sol, La, Si) lead to a notation system of 7*15=105 pitches. See the following document.&lt;br /&gt;
This gives 15 potential different pitches per base note. Seven base notes (C, D, E, F, G, A, B or Do, Re, Mi, Fa, Sol, La, Si) lead to a notation system of 7*15=105 pitches. See the following document.&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:768:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/Tableaux%20JJW%20VIII-2011.pdf?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@Tableaux JJW VIII-2011.pdf&amp;quot; title=&amp;quot;File: Tableaux JJW VIII-2011.pdf&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf" onclick="ws.common.trackFileLink('/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="Tableaux JJW VIII-2011.pdf" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf" onclick="ws.common.trackFileLink('/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf');" class="filename" title="Tableaux JJW VIII-2011.pdf"&gt;Tableaux JJW VIII-2011.pdf&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/Tableaux%20JJW%20VIII-2011.pdf"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;130 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:768 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:806:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/Tableaux%20JJW%20VIII-2011.pdf?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@Tableaux JJW VIII-2011.pdf&amp;quot; title=&amp;quot;File: Tableaux JJW VIII-2011.pdf&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf" onclick="ws.common.trackFileLink('/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="Tableaux JJW VIII-2011.pdf" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf" onclick="ws.common.trackFileLink('/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf');" class="filename" title="Tableaux JJW VIII-2011.pdf"&gt;Tableaux JJW VIII-2011.pdf&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/Tableaux%20JJW%20VIII-2011.pdf"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/Tableaux%20JJW%20VIII-2011.pdf/253043932/Tableaux%20JJW%20VIII-2011.pdf"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;130 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:806 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
(used with permission J. J. Weiss/S. Pohlit)&lt;br /&gt;
(used with permission J. J. Weiss/S. Pohlit)&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;294&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;332&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;345&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;357&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;370&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;408&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
Interval table of just intervals:&lt;br /&gt;
XXX&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Newer systems-Super-symmetrical models-Ascending/descending with 11/10"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Ascending/descending with 11/10&lt;/h3&gt;
J.J. Weiss&lt;br /&gt;
11/10: 165 cents&lt;br /&gt;
&lt;br /&gt;
Mandal positions (cents): &lt;span style="color: #00000a; font-family: Tahoma;"&gt;22|16|15|13|13|13|22&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
Interval table XXX&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="Newer systems-Super-symmetrical models-Ascending/descending with 35/32"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Ascending/descending with 35/32&lt;/h3&gt;
J.J. Weiss&lt;br /&gt;
35/32: 155.14 cents&lt;br /&gt;
&lt;br /&gt;
Interval table (cents):&lt;br /&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;112&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;126&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;138.99&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;155.13&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;168&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;182&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;204&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;316&lt;br /&gt;
         &lt;td&gt;316&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;332&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;330&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;345&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;342.90&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;357&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;359&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;370&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;372&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;386&lt;br /&gt;
         &lt;td&gt;386&lt;br /&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Interval table of just intervals:&lt;br /&gt;
Interval table of just intervals:&lt;br /&gt;
XXX&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="Newer systems-Super-symmetrical models-Ascending/descending with 11/10"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Ascending/descending with 11/10&lt;/h3&gt;
J.J. Weiss&lt;br /&gt;
11/10: 165 cents&lt;br /&gt;
&lt;br /&gt;
Mandal positions (cents): &lt;span style="color: #00000a; font-family: Tahoma;"&gt;22|16|15|13|13|13|22&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
Interval table XXX&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="Newer systems-Super-symmetrical models-Ascending/descending with 35/32"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Ascending/descending with 35/32&lt;/h3&gt;
J.J. Weiss&lt;br /&gt;
35/32: 155.14 cents&lt;br /&gt;
XXX&lt;br /&gt;
XXX&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;