Das Goldene Tonsystem: Difference between revisions
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Wikispaces>xenwolf **Imported revision 146322965 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 146324257 - 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>2010-06-01 16: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-06-01 16:46:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>146324257</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">**Das Goldene Tonsystem** als Fundament der Theoretischen Akustik | <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;white-space: pre-wrap ! important" class="old-revision-html">**[[http://d-nb.info/361092458|Das Goldene Tonsystem]]** | ||
als Fundament der Theoretischen Akustik | |||
is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup, written in German and published in Copenhagen in 1935. | |||
The system is based on the paradigm that the relation between whole and half tone intervals should be the [[http://en.wikipedia.org/wiki/Golden_ratio|Golden Ratio]] | The system is based on the paradigm that the relation between whole and half tone intervals should be the [[http://en.wikipedia.org/wiki/Golden_ratio|Golden Ratio]] | ||
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[[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> | [[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><a class="wiki_link_ext" href="http://d-nb.info/361092458" rel="nofollow">Das Goldene Tonsystem</a></strong><br /> | ||
als Fundament der Theoretischen Akustik<br /> | |||
<br /> | <br /> | ||
is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup, written in German and published in Copenhagen in 1935.<br /> | |||
<br /> | <br /> | ||
The system is based on the paradigm that the relation between whole and half tone intervals should be the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Golden_ratio" rel="nofollow">Golden Ratio</a><br /> | The system is based on the paradigm that the relation between whole and half tone intervals should be the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Golden_ratio" rel="nofollow">Golden Ratio</a><br /> | ||
Revision as of 16:46, 1 June 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 2010-06-01 16:46:21 UTC.
- The original revision id was 146324257.
- 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:
**[[http://d-nb.info/361092458|Das Goldene Tonsystem]]**
als Fundament der Theoretischen Akustik
is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup, written in German and published in Copenhagen in 1935.
The system is based on the paradigm that the relation between whole and half tone intervals should be the [[http://en.wikipedia.org/wiki/Golden_ratio|Golden Ratio]]
[[math]]
\varphi = \frac 1 2 (\sqrt{5}+1) \approx 1.61803\,39887\ldots\,
[[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><a class="wiki_link_ext" href="http://d-nb.info/361092458" rel="nofollow">Das Goldene Tonsystem</a></strong><br />
als Fundament der Theoretischen Akustik<br />
<br />
is a book of the danish music theoretician (music reformer and visionary) Thorvald Kornerup, written in German and published in Copenhagen in 1935.<br />
<br />
The system is based on the paradigm that the relation between whole and half tone intervals should be the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Golden_ratio" rel="nofollow">Golden Ratio</a><br />
<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]<br/>
\varphi = \frac 1 2 (\sqrt{5}+1) \approx 1.61803\,39887\ldots\,<br/>[[math]]
--><script type="math/tex">\varphi = \frac 1 2 (\sqrt{5}+1) \approx 1.61803\,39887\ldots\,</script><!-- ws:end:WikiTextMathRule:0 --><br />
<br />
Thus some edo systems - the 12-step too - could be considered as approximations to this ideal.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:<h2> --><h2 id="toc0"><a name="x-Construction"></a><!-- ws:end:WikiTextHeadingRule:1 --> 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:3:<h2> --><h2 id="toc1"><a name="x-Listening"></a><!-- ws:end:WikiTextHeadingRule:3 --> 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>