Keenan's EDO impressions: Difference between revisions

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[[12edo|12]] (aka [[19edt]]) - 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]].

[[15edo|15]] (aka 24edt) - 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) - [[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]].)

[[19edo|19]] (aka 30edt) - First EDO with a meantone diatonic scale (5L2s proper), but not only meantone! [[Negri]] is awesome, [[godzilla]] is awesome, [[sensi]] is awesome, and [[keemun]] and [[magic]] are both quite interesting. Excellent EDO to promote to newcomers because it works beautifully with standard meantone notation and familiar meantone harmony is possible, but again, it's so much more than meantone. Xenharmonic scales and comma pumps abound.

[[20edo|20]] - More-complicated version of [[blackwood]], not much else. Instead of [5edo interval], minor, major, [5edo interval] it now goes [5edo interval], minor, neutral, major, [5edo interval]. Big deal. I'd choose 15 over 20 any day because it has porcupine.

[[22edo|22]] (aka 35edt) - Amazing and mind-blowing; many great [[22edo#Theory-Properties%20of%2022%20equal%20temperament-Linear%20Temperaments|temperaments]]. Not much reason to use more notes per octave than this, if you ask me.

[[23edo|23]] - Mavila system similar to 16, but has [[superpelog]] in addition. Nothing to write home about.

<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;Keenan's EDO impressions&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/1edo"&gt;1&lt;/a&gt; - People ought to write more 2-limit music. (Or not.)&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;) - 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="/15edo"&gt;15&lt;/a&gt; (aka 24edt) - 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) - &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="/19edo"&gt;19&lt;/a&gt; (aka 30edt) - First EDO with a meantone diatonic scale (5L2s proper), but not only meantone! &lt;a class="wiki_link" href="/Negri"&gt;Negri&lt;/a&gt; is awesome, &lt;a class="wiki_link" href="/godzilla"&gt;godzilla&lt;/a&gt; is awesome, &lt;a class="wiki_link" href="/sensi"&gt;sensi&lt;/a&gt; is awesome, and &lt;a class="wiki_link" href="/keemun"&gt;keemun&lt;/a&gt; and &lt;a class="wiki_link" href="/magic"&gt;magic&lt;/a&gt; are both quite interesting. Excellent EDO to promote to newcomers because it works beautifully with standard meantone notation and familiar meantone harmony is possible, but again, it's so much more than meantone. Xenharmonic scales and comma pumps abound.&lt;br /&gt;

&lt;a class="wiki_link" href="/20edo"&gt;20&lt;/a&gt; - More-complicated version of &lt;a class="wiki_link" href="/blackwood"&gt;blackwood&lt;/a&gt;, not much else. Instead of [5edo interval], minor, major, [5edo interval] it now goes [5edo interval], minor, neutral, major, [5edo interval]. Big deal. I'd choose 15 over 20 any day because it has porcupine.&lt;br /&gt;

&lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt; (aka 35edt) - Amazing and mind-blowing; many great &lt;a class="wiki_link" href="/22edo#Theory-Properties%20of%2022%20equal%20temperament-Linear%20Temperaments"&gt;temperaments&lt;/a&gt;. Not much reason to use more notes per octave than this, if you ask me.&lt;br /&gt;

&lt;a class="wiki_link" href="/23edo"&gt;23&lt;/a&gt; - Mavila system similar to 16, but has &lt;a class="wiki_link" href="/superpelog"&gt;superpelog&lt;/a&gt; in addition. Nothing to write home about.&lt;br /&gt;