29edo: 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:guest|guest]] and made on <tt>2010-11-17 19:58:16 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2010-11-17 19:58:34 UTC</tt>.<br>

: The original revision id was <tt>~~180616779~~</tt>.<br>

: The original revision id was <tt>180616867</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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29 is the lowest edo which approximates the 3:2 just fifth more accurately than 12edo: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a [[positive temperament]] -- a Superpythagorean instead of a Meantone system.

The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane ~~microtonal~~ stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.

The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane xenharmonic stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.

==Intervals of 29edo==

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29 is the lowest edo which approximates the 3:2 just fifth more accurately than 12edo: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a <a class="wiki_link" href="/positive%20temperament">positive temperament</a> -- a Superpythagorean instead of a Meantone system. <br />

<br />

The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane ~~microtonal~~ stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.<br />

The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane xenharmonic stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.<br />

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<h2 id="toc0"><a name="x-Intervals of 29edo"></a>Intervals of 29edo</h2>

@@ 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:guest|guest]] and made on <tt>2010-11-17 19:58:16 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2010-11-17 19:58:34 UTC</tt>.<br>
-: The original revision id was <tt>180616779</tt>.<br>
+: The original revision id was <tt>180616867</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 10: / Line 10: @@
 is the lowest edo which approximates the 3:2 just fifth more accurately than 12edo: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a [[positive temperament]] -- a Superpythagorean instead of a Meantone system.
-The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane microtonal stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.
+The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane xenharmonic stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.
 ==Intervals of 29edo==
@@ Line 48: / Line 48: @@
 is the lowest edo which approximates the 3:2 just fifth more accurately than 12edo: 3/2 = 701.955... cents; 17 degrees of 29edo = 703.448... cents. Since the fifth is slightly sharp, 29edo is a &lt;a class="wiki_link" href="/positive%20temperament"&gt;positive temperament&lt;/a&gt; -- a Superpythagorean instead of a Meantone system. &lt;br /&gt;
 &lt;br /&gt;
-The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane microtonal stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.&lt;br /&gt;
+The third (and of course second) is the only harmonic, of the intelligibly low ones anyway, that 29-edo approximates, and it does so stunningly well. Accordingly it's best use is as an equally tempered pythagorean scale, which despite yall's focus on insane xenharmonic stuff is still a good thing to have around. It does give some good approximations of other just ratios, but without the harmonics themselves, making them into actual chords in sensible progressions is impossible.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Intervals of 29edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Intervals of 29edo&lt;/h2&gt;