Ed8/3 and beyond: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 601296514 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 601308676 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-03 15:25:40 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-03 22:24:29 UTC</tt>.<br>
: The original revision id was <tt>601296514</tt>.<br>
: The original revision id was <tt>601308676</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">Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that //it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as ~1878.58 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done//. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:
<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">Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that //it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as 1923.5 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done//. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:
* [[edt|Equal divisions of the tritave]]
* [[edt|Equal divisions of the tritave]]
* [[ed5|Equal divisions of the fifth harmonic]]
* [[ed5|Equal divisions of the fifth harmonic]]
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* [[ed7|Equal divisions of the seventh harmonic]]</pre></div>
* [[ed7|Equal divisions of the seventh harmonic]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;edXI and beyond&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that &lt;em&gt;it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as ~1878.58 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done&lt;/em&gt;. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:&lt;br /&gt;
<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;edXI and beyond&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that &lt;em&gt;it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as 1923.5 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done&lt;/em&gt;. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/edt"&gt;Equal divisions of the tritave&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed5"&gt;Equal divisions of the fifth harmonic&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed6"&gt;Equal divisions of the sixth harmonic&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed7"&gt;Equal divisions of the seventh harmonic&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/edt"&gt;Equal divisions of the tritave&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed5"&gt;Equal divisions of the fifth harmonic&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed6"&gt;Equal divisions of the sixth harmonic&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ed7"&gt;Equal divisions of the seventh harmonic&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 22:24, 3 December 2016

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author JosephRuhf and made on 2016-12-03 22:24:29 UTC.
The original revision id was 601308676.
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:

Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that //it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as 1923.5 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done//. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:
* [[edt|Equal divisions of the tritave]]
* [[ed5|Equal divisions of the fifth harmonic]]
* [[ed6|Equal divisions of the sixth harmonic]]
* [[ed7|Equal divisions of the seventh harmonic]]

Original HTML content:

<html><head><title>edXI and beyond</title></head><body>Equal divisions of elevenths (e. g. 8:3) and beyond can be conceived of as to use one interval of these as an equivalence, or not. However, the utility of such intervals as bases is limited by the fact that <em>it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as 1923.5 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done</em>. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses:<br />
<ul><li><a class="wiki_link" href="/edt">Equal divisions of the tritave</a></li><li><a class="wiki_link" href="/ed5">Equal divisions of the fifth harmonic</a></li><li><a class="wiki_link" href="/ed6">Equal divisions of the sixth harmonic</a></li><li><a class="wiki_link" href="/ed7">Equal divisions of the seventh harmonic</a></li></ul></body></html>