ED5: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~hearneg~~|~~hearneg~~]] and made on <tt>2016-09-~~08 10~~:43:53 UTC</tt>.<br>

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-24 15:19:21 UTC</tt>.<br>

: The original revision id was <tt>~~591419276~~</tt>.<br>

: The original revision id was <tt>596742216</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>

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<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">=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.

The fifth harmonic is particularly wide as far as equivalences go.<span class="commentBody"> There are (at absolute most) ~4.8 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)

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<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>ed5</title></head><body><h1 id="toc0"><a name="Division of the Fifth Harmonic (5/1) into n equal parts"></a>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 &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 absolute most) ~4.8 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 />

3ed5 <a class="wiki_link" href="/orwell">orwell</a> generator (with octaves)<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:hearneg|hearneg]] and made on <tt>2016-09-08 10:43:53 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-24 15:19:21 UTC</tt>.<br>
-: The original revision id was <tt>591419276</tt>.<br>
+: The original revision id was <tt>596742216</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>
@@ Line 8: / Line 8: @@
 <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">=Division of the Fifth Harmonic (5/1) into n equal parts=
-The fifth harmonic is particularly wide as far as equivalences go.&lt;span class="commentBody"&gt; 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, &lt;/span&gt;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.&lt;span class="commentBody"&gt; There are (at absolute most) ~4.8 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, &lt;/span&gt;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.
 ed5 [[orwell]] generator (with octaves)
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 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;ed5&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Division of the Fifth Harmonic (5/1) into n equal parts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Division of the Fifth Harmonic (5/1) into n equal parts&lt;/h1&gt;
   &lt;br /&gt;
-The fifth harmonic is particularly wide as far as equivalences go.&lt;span class="commentBody"&gt; 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, &lt;/span&gt;this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see &lt;a class="wiki_link" href="/17ed5"&gt;17ed5&lt;/a&gt;). 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 (&lt;a class="wiki_link" href="/20ed5"&gt;20ed5&lt;/a&gt;) which itself is a zeta peak tuning (not &amp;quot;no-fives&amp;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.&lt;br /&gt;
+The fifth harmonic is particularly wide as far as equivalences go.&lt;span class="commentBody"&gt; There are (at absolute most) ~4.8 pentaves within human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, &lt;/span&gt;this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see &lt;a class="wiki_link" href="/17ed5"&gt;17ed5&lt;/a&gt;). 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 (&lt;a class="wiki_link" href="/20ed5"&gt;20ed5&lt;/a&gt;) which itself is a zeta peak tuning (not &amp;quot;no-fives&amp;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.&lt;br /&gt;
 &lt;br /&gt;
 ed5 &lt;a class="wiki_link" href="/orwell"&gt;orwell&lt;/a&gt; generator (with octaves)&lt;br /&gt;