Keenan's EDO impressions: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 315241882 - Original comment: **
Wikispaces>mbattaglia1
**Imported revision 337249226 - 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:keenanpepper|keenanpepper]] and made on <tt>2012-03-27 19:14:44 UTC</tt>.<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-05-19 04:31:55 UTC</tt>.<br>
: The original revision id was <tt>315241882</tt>.<br>
: The original revision id was <tt>337249226</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>
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[[12edo|12]] (aka [[19edt]], "standard semitones") - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular [[dominant]] temperament. Also [[augmented]] and [[diminished]]. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of "non-xenharmonic" ensembles.
[[12edo|12]] (aka [[19edt]], "standard semitones") - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular [[dominant]] temperament. Also [[augmented]] and [[diminished]]. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of "non-xenharmonic" ensembles.
[[13edo|13]] - Every other note of [[26edo|26]]. This makes it a good temperament for a large subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including [[uncle]] and [[dicot]].
[[13edo|13]] - Every other note of [[26edo|26]]. This makes it a good temperament for a large subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including [[uncle]] and [[dicot]].
[[14edo|14]] (aka "whitewood semitones") - [[Jamesbond]], [[bug]]/[[semiphore]], etc. (Quite bad whitewood tuning.) Pretty much misses "minor" and "major" thirds entirely, going straight from "subminor" to "neutral" to "supermajor", which makes it very xenharmonic (thought not necessarily *pleasant*).
[[14edo|14]] (aka "whitewood semitones") - [[Jamesbond]], [[bug]]/[[semaphore]], etc. (Quite bad whitewood tuning.) Pretty much misses "minor" and "major" thirds entirely, going straight from "subminor" to "neutral" to "supermajor", which makes it very xenharmonic (thought not necessarily *pleasant*).
[[15edo|15]] (aka 24edt, "blackwood 1/3-tones") - Very interesting for [[blackwood]], [[porcupine]], and others. A good all-around EDO. If you want to internalize [[Porcupine intervals|porcupine interval categories]], use 15edo.
[[15edo|15]] (aka 24edt, "blackwood 1/3-tones") - Very interesting for [[blackwood]], [[porcupine]], and others. A good all-around EDO. If you want to internalize [[Porcupine intervals|porcupine interval categories]], use 15edo.
[[16edo|16]] (aka 25edt, "armodue semitones") - [[Mavila]]/armodue; those Italians love it. Really versatile and interesting - if you don't mind the lack of reasonable 3/2s. On the other hand you can treat it as an all-encompassing gamelan EDO where the beating fifths are an advantage. (The one advantage it has over 9edo in this respect is its slendro approximation, [[gorgo]].)
[[16edo|16]] (aka 25edt, "armodue semitones") - [[Mavila]]/armodue; those Italians love it. Really versatile and interesting - if you don't mind the lack of reasonable 3/2s. On the other hand you can treat it as an all-encompassing gamelan EDO where the beating fifths are an advantage. (The one advantage it has over 9edo in this respect is its slendro approximation, [[gorgo]].)
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&lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt; (aka &lt;a class="wiki_link" href="/19edt"&gt;19edt&lt;/a&gt;, &amp;quot;standard semitones&amp;quot;) - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt; temperament. Also &lt;a class="wiki_link" href="/augmented"&gt;augmented&lt;/a&gt; and &lt;a class="wiki_link" href="/diminished"&gt;diminished&lt;/a&gt;. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of &amp;quot;non-xenharmonic&amp;quot; ensembles.&lt;br /&gt;
&lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt; (aka &lt;a class="wiki_link" href="/19edt"&gt;19edt&lt;/a&gt;, &amp;quot;standard semitones&amp;quot;) - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt; temperament. Also &lt;a class="wiki_link" href="/augmented"&gt;augmented&lt;/a&gt; and &lt;a class="wiki_link" href="/diminished"&gt;diminished&lt;/a&gt;. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of &amp;quot;non-xenharmonic&amp;quot; ensembles.&lt;br /&gt;
&lt;a class="wiki_link" href="/13edo"&gt;13&lt;/a&gt; - Every other note of &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;. This makes it a good temperament for a large subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including &lt;a class="wiki_link" href="/uncle"&gt;uncle&lt;/a&gt; and &lt;a class="wiki_link" href="/dicot"&gt;dicot&lt;/a&gt;.&lt;br /&gt;
&lt;a class="wiki_link" href="/13edo"&gt;13&lt;/a&gt; - Every other note of &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;. This makes it a good temperament for a large subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including &lt;a class="wiki_link" href="/uncle"&gt;uncle&lt;/a&gt; and &lt;a class="wiki_link" href="/dicot"&gt;dicot&lt;/a&gt;.&lt;br /&gt;
&lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt; (aka &amp;quot;whitewood semitones&amp;quot;) - &lt;a class="wiki_link" href="/Jamesbond"&gt;Jamesbond&lt;/a&gt;, &lt;a class="wiki_link" href="/bug"&gt;bug&lt;/a&gt;/&lt;a class="wiki_link" href="/semiphore"&gt;semiphore&lt;/a&gt;, etc. (Quite bad whitewood tuning.) Pretty much misses &amp;quot;minor&amp;quot; and &amp;quot;major&amp;quot; thirds entirely, going straight from &amp;quot;subminor&amp;quot; to &amp;quot;neutral&amp;quot; to &amp;quot;supermajor&amp;quot;, which makes it very xenharmonic (thought not necessarily *pleasant*).&lt;br /&gt;
&lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt; (aka &amp;quot;whitewood semitones&amp;quot;) - &lt;a class="wiki_link" href="/Jamesbond"&gt;Jamesbond&lt;/a&gt;, &lt;a class="wiki_link" href="/bug"&gt;bug&lt;/a&gt;/&lt;a class="wiki_link" href="/semaphore"&gt;semaphore&lt;/a&gt;, etc. (Quite bad whitewood tuning.) Pretty much misses &amp;quot;minor&amp;quot; and &amp;quot;major&amp;quot; thirds entirely, going straight from &amp;quot;subminor&amp;quot; to &amp;quot;neutral&amp;quot; to &amp;quot;supermajor&amp;quot;, which makes it very xenharmonic (thought not necessarily *pleasant*).&lt;br /&gt;
&lt;a class="wiki_link" href="/15edo"&gt;15&lt;/a&gt; (aka 24edt, &amp;quot;blackwood 1/3-tones&amp;quot;) - Very interesting for &lt;a class="wiki_link" href="/blackwood"&gt;blackwood&lt;/a&gt;, &lt;a class="wiki_link" href="/porcupine"&gt;porcupine&lt;/a&gt;, and others. A good all-around EDO. If you want to internalize &lt;a class="wiki_link" href="/Porcupine%20intervals"&gt;porcupine interval categories&lt;/a&gt;, use 15edo.&lt;br /&gt;
&lt;a class="wiki_link" href="/15edo"&gt;15&lt;/a&gt; (aka 24edt, &amp;quot;blackwood 1/3-tones&amp;quot;) - Very interesting for &lt;a class="wiki_link" href="/blackwood"&gt;blackwood&lt;/a&gt;, &lt;a class="wiki_link" href="/porcupine"&gt;porcupine&lt;/a&gt;, and others. A good all-around EDO. If you want to internalize &lt;a class="wiki_link" href="/Porcupine%20intervals"&gt;porcupine interval categories&lt;/a&gt;, use 15edo.&lt;br /&gt;
&lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt; (aka 25edt, &amp;quot;armodue semitones&amp;quot;) - &lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt;/armodue; those Italians love it. Really versatile and interesting - if you don't mind the lack of reasonable 3/2s. On the other hand you can treat it as an all-encompassing gamelan EDO where the beating fifths are an advantage. (The one advantage it has over 9edo in this respect is its slendro approximation, &lt;a class="wiki_link" href="/gorgo"&gt;gorgo&lt;/a&gt;.)&lt;br /&gt;
&lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt; (aka 25edt, &amp;quot;armodue semitones&amp;quot;) - &lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt;/armodue; those Italians love it. Really versatile and interesting - if you don't mind the lack of reasonable 3/2s. On the other hand you can treat it as an all-encompassing gamelan EDO where the beating fifths are an advantage. (The one advantage it has over 9edo in this respect is its slendro approximation, &lt;a class="wiki_link" href="/gorgo"&gt;gorgo&lt;/a&gt;.)&lt;br /&gt;