Harmony of 23edo: Difference between revisions

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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-09-20 00:44:25 UTC</tt>.<br>

: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-11-20 00:48:52 UTC</tt>.<br>

: The original revision id was <tt>~~255950126~~</tt>.<br>

: The original revision id was <tt>277315442</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>

<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">If you take a look at the intervals of [[23edo]], you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it "atonal" or "inharmonic", you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even "consonances," in the context of careful composition. [[23edo]] contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 & 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):

<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">If you take a look at the intervals of [[23edo]], you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it "atonal" or "inharmonic", you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even 'consonances', in the context of careful composition. [[23edo]] contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 & 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):

|| Degrees || Armodue note || Cents sizes || [[nearest harmonic|Nearest Harmonic]] || Cents || "Error" ||

|| 0 || 1 || 0 || 1/1 || 0.000 || none ||

Line 145:

23/21 (157.493, error: -0.971)</pre></div>

<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>Harmony of 23edo</title></head><body>If you take a look at the intervals of <a class="wiki_link" href="/23edo">23edo</a>, you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it &quot;atonal&quot; or &quot;inharmonic&quot;, you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even ~~&quot;~~consonances,~~&quot;~~ in the context of careful composition. <a class="wiki_link" href="/23edo">23edo</a> contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):<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>Harmony of 23edo</title></head><body>If you take a look at the intervals of <a class="wiki_link" href="/23edo">23edo</a>, you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it &quot;atonal&quot; or &quot;inharmonic&quot;, you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even 'consonances', in the context of careful composition. <a class="wiki_link" href="/23edo">23edo</a> contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):<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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-09-20 00:44:25 UTC</tt>.<br>
+: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-11-20 00:48:52 UTC</tt>.<br>
-: The original revision id was <tt>255950126</tt>.<br>
+: The original revision id was <tt>277315442</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>
 <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">If you take a look at the intervals of [[23edo]], you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it "atonal" or "inharmonic", you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even "consonances," in the context of careful composition. [[23edo]] contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):
+<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">If you take a look at the intervals of [[23edo]], you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it "atonal" or "inharmonic", you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even 'consonances', in the context of careful composition. [[23edo]] contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):
 || Degrees || Armodue note || Cents sizes || [[nearest harmonic|Nearest Harmonic]] || Cents || "Error" ||
 || 0 || 1 || 0 || 1/1 || 0.000 || none ||
@@ Line 145: / Line 145: @@
 /21 (157.493, error: -0.971)</pre></div>
 <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;Harmony of 23edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;If you take a look at the intervals of &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt;, you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it &amp;quot;atonal&amp;quot; or &amp;quot;inharmonic&amp;quot;, you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even &amp;quot;consonances,&amp;quot; in the context of careful composition. &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt; contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp;amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):&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;Harmony of 23edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;If you take a look at the intervals of &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt;, you'll find that this system does not contain good representations of the harmonics 3, 5, 7, 11, or 13, which appear as central in most just intonation systems. Rather than trivialize 23edo by calling it &amp;quot;atonal&amp;quot; or &amp;quot;inharmonic&amp;quot;, you should consider the higher-limit harmonies that could serve as useful sonorities, perhaps even 'consonances', in the context of careful composition. &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt; contains intervals which approach very well the harmonics 9, 17, 21, 23, 33, 35, 55, 79 &amp;amp; 117. Let's compare the cents values to see how close 23edo intervals come to these harmonics (and other intervals):&lt;br /&gt;