ED5
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 2011-10-25 14:43:09 UTC.
- The original revision id was 268456870.
- The revision comment was:
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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. However, perhaps the more common reason to use these scales is in approximation to scales with lower harmonics than the fifth. This approach is highlighted by Hieronymus ([[20ed5]]) which itself is a zeta peak tuning. 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]]
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. However, perhaps the more common reason to use these scales is in approximation to scales with lower harmonics than the fifth. This approach is highlighted by Hieronymus (<a class="wiki_link" href="/20ed5">20ed5</a>) which itself is a zeta peak tuning. 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 /> 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></body></html>