Das Goldene Tonsystem: Difference between revisions
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Wikispaces>xenwolf **Imported revision 139439983 - Original comment: for some reason written in German** |
Wikispaces>xenwolf **Imported revision 139441103 - 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:xenwolf|xenwolf]] and made on <tt>2010-05-04 15: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-05-04 15:55:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>139441103</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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== Listening == | == Listening == | ||
[[http://www.io.com/~hmiller/midi/canon-golden.mid|An acoustic experience]] - Kornerup himself had no chance to have it - is contained in the [[Warped canon]] collection.</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>Das Goldene Tonsystem</title></head><body><strong>Das Goldene Tonsystem</strong> als Fundament der Theoretischen Akustik<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>Das Goldene Tonsystem</title></head><body><strong>Das Goldene Tonsystem</strong> als Fundament der Theoretischen Akustik<br /> | ||
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...is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup. [<!-- ws:start:WikiTextUrlRule: | ...is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup. [<!-- ws:start:WikiTextUrlRule:29:http://d-nb.info/361092458 --><a class="wiki_link_ext" href="http://d-nb.info/361092458" rel="nofollow">http://d-nb.info/361092458</a><!-- ws:end:WikiTextUrlRule:29 -->] written in German.<br /> | ||
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The system is based on the paradigm that the relation between whole and half tone intervals should be the Golden Ratio <br /> | The system is based on the paradigm that the relation between whole and half tone intervals should be the Golden Ratio <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Listening"></a><!-- ws:end:WikiTextHeadingRule:2 --> Listening </h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Listening"></a><!-- ws:end:WikiTextHeadingRule:2 --> Listening </h2> | ||
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<a class="wiki_link_ext" href="http://www.io.com/~hmiller/midi/canon-golden.mid" rel="nofollow">An acoustic experience</a> - Kornerup himself had no chance to have it - is contained in the <a class="wiki_link" href="/Warped%20canon">Warped canon</a> collection.</body></html></pre></div> | |||
Revision as of 15:55, 4 May 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-05-04 15:55:12 UTC.
- The original revision id was 139441103.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
**Das Goldene Tonsystem** als Fundament der Theoretischen Akustik ...is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup. [http://d-nb.info/361092458] written in German. The system is based on the paradigm that the relation between whole and half tone intervals should be the Golden Ratio (sqrt(5)+1)/2 (who does it in <math> ?) Thus some edo systems - the 12-step too - could be considered as approximations to this ideal. == Construction == If you use two neighboring numbers from Fibonacci Series 1 1 2 3 5 8 13... you get the following approximations: 1, 1 -> [[7edo]] 1, 2 -> [[12edo]] 2, 3 -> [[19edo]] 3, 5 -> [[31edo]] 5, 8 -> [[50edo]] == Listening == [[http://www.io.com/~hmiller/midi/canon-golden.mid|An acoustic experience]] - Kornerup himself had no chance to have it - is contained in the [[Warped canon]] collection.
Original HTML content:
<html><head><title>Das Goldene Tonsystem</title></head><body><strong>Das Goldene Tonsystem</strong> als Fundament der Theoretischen Akustik<br /> <br /> ...is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup. [<!-- ws:start:WikiTextUrlRule:29:http://d-nb.info/361092458 --><a class="wiki_link_ext" href="http://d-nb.info/361092458" rel="nofollow">http://d-nb.info/361092458</a><!-- ws:end:WikiTextUrlRule:29 -->] written in German.<br /> <br /> The system is based on the paradigm that the relation between whole and half tone intervals should be the Golden Ratio <br /> <br /> (sqrt(5)+1)/2 (who does it in <math> ?)<br /> <br /> Thus some edo systems - the 12-step too - could be considered as approximations to this ideal.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Construction"></a><!-- ws:end:WikiTextHeadingRule:0 --> Construction </h2> If you use two neighboring numbers from Fibonacci Series 1 1 2 3 5 8 13... you get the following approximations:<br /> 1, 1 -> <a class="wiki_link" href="/7edo">7edo</a><br /> 1, 2 -> <a class="wiki_link" href="/12edo">12edo</a><br /> 2, 3 -> <a class="wiki_link" href="/19edo">19edo</a><br /> 3, 5 -> <a class="wiki_link" href="/31edo">31edo</a><br /> 5, 8 -> <a class="wiki_link" href="/50edo">50edo</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Listening"></a><!-- ws:end:WikiTextHeadingRule:2 --> Listening </h2> <br /> <a class="wiki_link_ext" href="http://www.io.com/~hmiller/midi/canon-golden.mid" rel="nofollow">An acoustic experience</a> - Kornerup himself had no chance to have it - is contained in the <a class="wiki_link" href="/Warped%20canon">Warped canon</a> collection.</body></html>