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Wikispaces>Kosmorsky **Imported revision 268461362 - Original comment: ** |
Wikispaces>Kosmorsky **Imported revision 288948331 - 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:Kosmorsky|Kosmorsky]] and made on <tt>2011- | : This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-12-31 23:22:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288948331</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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The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see [[17ed5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately. | The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see [[17ed5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately. | ||
3ed5 [[orwell]] generator (with octaves) | 3ed5 [[orwell]] generator (with octaves) | ||
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[[25ed5]] (Stockhausen, McLaren) | [[25ed5]] (Stockhausen, McLaren) | ||
[[39ed5]] | [[39ed5]] | ||
[[Pentave Reduced Harmonics]] | |||
[[http://www.nonoctave.com/tuning/fifth_harmonic.html]]</pre></div> | [[http://www.nonoctave.com/tuning/fifth_harmonic.html]]</pre></div> | ||
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The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see <a class="wiki_link" href="/17ed5">17ed5</a>). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus (<a class="wiki_link" href="/20ed5">20ed5</a>) which itself is a zeta peak tuning (not &quot;no-fives&quot;, full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately.<br /> | The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see <a class="wiki_link" href="/17ed5">17ed5</a>). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus (<a class="wiki_link" href="/20ed5">20ed5</a>) which itself is a zeta peak tuning (not &quot;no-fives&quot;, full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately.<br /> | ||
<br /> | <br /> | ||
3ed5 <a class="wiki_link" href="/orwell">orwell</a> generator (with octaves)<br /> | 3ed5 <a class="wiki_link" href="/orwell">orwell</a> generator (with octaves)<br /> | ||
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<a class="wiki_link" href="/25ed5">25ed5</a> (Stockhausen, McLaren)<br /> | <a class="wiki_link" href="/25ed5">25ed5</a> (Stockhausen, McLaren)<br /> | ||
<a class="wiki_link" href="/39ed5">39ed5</a><br /> | <a class="wiki_link" href="/39ed5">39ed5</a><br /> | ||
<br /> | |||
<a class="wiki_link" href="/Pentave%20Reduced%20Harmonics">Pentave Reduced Harmonics</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="http://www.nonoctave.com/tuning/fifth_harmonic.html" rel="nofollow">http://www.nonoctave.com/tuning/fifth_harmonic.html</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://www.nonoctave.com/tuning/fifth_harmonic.html" rel="nofollow">http://www.nonoctave.com/tuning/fifth_harmonic.html</a></body></html></pre></div> | ||
Revision as of 23:22, 31 December 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Kosmorsky and made on 2011-12-31 23:22:19 UTC.
- The original revision id was 288948331.
- 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:
=Division of the Fifth Harmonic (5/1) into n equal parts= The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see [[17ed5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately. 3ed5 [[orwell]] generator (with octaves) 4ed5 [[meantone]] generator (with octaves) 5ed5 [[2L 7s|thuja]] generator (with octaves) [[10ed5]] [[11ed5]] [[17ed5]] [[20ed5]] (Hieronymus Tuning) [[25ed5]] (Stockhausen, McLaren) [[39ed5]] [[Pentave Reduced Harmonics]] [[http://www.nonoctave.com/tuning/fifth_harmonic.html]]
Original HTML content:
<html><head><title>ed5</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Division of the Fifth Harmonic (5/1) into n equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Division of the Fifth Harmonic (5/1) into n equal parts</h1> <br /> The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at most) ~4.3 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see <a class="wiki_link" href="/17ed5">17ed5</a>). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus (<a class="wiki_link" href="/20ed5">20ed5</a>) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately.<br /> <br /> 3ed5 <a class="wiki_link" href="/orwell">orwell</a> generator (with octaves)<br /> 4ed5 <a class="wiki_link" href="/meantone">meantone</a> generator (with octaves)<br /> 5ed5 <a class="wiki_link" href="/2L%207s">thuja</a> generator (with octaves)<br /> <br /> <a class="wiki_link" href="/10ed5">10ed5</a><br /> <a class="wiki_link" href="/11ed5">11ed5</a><br /> <a class="wiki_link" href="/17ed5">17ed5</a><br /> <a class="wiki_link" href="/20ed5">20ed5</a> (Hieronymus Tuning)<br /> <a class="wiki_link" href="/25ed5">25ed5</a> (Stockhausen, McLaren)<br /> <a class="wiki_link" href="/39ed5">39ed5</a><br /> <br /> <a class="wiki_link" href="/Pentave%20Reduced%20Harmonics">Pentave Reduced Harmonics</a><br /> <br /> <a class="wiki_link_ext" href="http://www.nonoctave.com/tuning/fifth_harmonic.html" rel="nofollow">http://www.nonoctave.com/tuning/fifth_harmonic.html</a></body></html>