Keenan's EDO impressions: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 337249226 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 373737258 - 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: | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-10-16 21:00:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>373737258</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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[[11edo|11]] - Every other note of [[22edo|22]]. This makes it a great 2.9.7.11 temperament. Includes [[machine]], [[orgone]], [[http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11]] and [[http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11]] | [[11edo|11]] - Every other note of [[22edo|22]]. This makes it a great 2.9.7.11 temperament. Includes [[machine]], [[orgone]], [[http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11]] and [[http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11]] | ||
[[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 | [[13edo|13]] - Every other note of [[26edo|26]]. This makes it a good temperament for a 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]]/[[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*). | [[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*). Also don't forget the presence of DTMF ("touch tone") tones. Any phone number is a two-part piece of music! | ||
[[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 | [[16edo|16]] (aka 25edt, "armodue semitones") - [[Mavila]]/armodue. 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]].) | ||
[[17edo|17]] (aka [[27edt]], "superpyth 1/3-tones") - Really good no-5's system; [[Supra|supra]], [[bleu]], etc. The lack of 5-limit harmony forces you to think xenharmonically, but the nice accurate 3/2s form a solid familiar backbone you can depend on when things get too crazy. | [[17edo|17]] (aka [[27edt]], "superpyth 1/3-tones") - Really good no-5's system; [[Supra|supra]], [[bleu]], etc. The lack of 5-limit harmony forces you to think xenharmonically, but the nice accurate 3/2s form a solid familiar backbone you can depend on when things get too crazy. Also, neutral third scales are awesome. Compatible (not perfectly, of course) with a large number of maqamat. | ||
[[18edo|18]] - Almost totally useless. | [[18edo|18]] - Almost totally useless. | ||
[[19edo|19]] (aka 30edt, "meantone 1/3-tones") - 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. | [[19edo|19]] (aka 30edt, "meantone 1/3-tones") - 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. | ||
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[[22edo|22]] (aka 35edt, "superpyth 1/4-tones") - 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. | [[22edo|22]] (aka 35edt, "superpyth 1/4-tones") - 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]] (aka "hornbostel 1/3-tones") - Mavila system similar to 16, but has [[superpelog]] in addition. Nothing to write home about. | [[23edo|23]] (aka "hornbostel 1/3-tones") - Mavila system similar to 16, but has [[superpelog]] in addition. Nothing to write home about. | ||
[[24edo|24]] (aka 38edt, "standard 1/4-tones") - Very worthwhile, and underrated because of its long history of "microtonal" (rather than "xenharmonic") use. Really nails the 2.3.11 subgroup, and has all the familiar meantone harmony (and diatonic scale) of 12edo.</pre></div> | [[24edo|24]] (aka 38edt, "standard 1/4-tones") - Very worthwhile, and underrated because of its long history of "microtonal" (rather than "xenharmonic") use. Really nails the 2.3.11 subgroup, and has all the familiar meantone harmony (and diatonic scale) of 12edo. The basis of much low-level maqam music theory (maqamat are often presented as quarter tones). | ||
[[25edo|25]] (either "blackwood 1/5-tones" or "armodue 1/3-tones") - Can be treated in two different ways (blackwood or mavila/armodue) depending on which interval you consider "the fifth" or "3/2". Too many notes for either one of them - why not use 15 or 16 instead? | |||
[[26edo|26]] (aka 41edt, "flattone 1/4-tones") - The forgotten meantone EDO, and the first true [[flattone]] EDO. Flattone is amazing because 8/7 and 7/6 are swapped from their roles in 7-limit meantone temperament, and because flattone[12] is much easier to hear as unequal than meantone[12]. Also has [[injera]] and [[cynder]]/[[mothra]]. | |||
[[27edo|27]] (aka 43edt, "superpyth 1/5-tones") - First true [[tetracot]]/[[modus]] EDO. Otherwise, it has an interesting combination of things (superpyth, neutral thirds, augene, sensi), which, however, all exist in smaller EDOs.</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"><html><head><title>Keenan's EDO impressions</title></head><body><a class="wiki_link" href="/1edo">1</a> - People ought to write more 2-limit music. (Or not.)<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>Keenan's EDO impressions</title></head><body><a class="wiki_link" href="/1edo">1</a> - People ought to write more 2-limit music. (Or not.)<br /> | ||
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<a class="wiki_link" href="/11edo">11</a> - Every other note of <a class="wiki_link" href="/22edo">22</a>. This makes it a great 2.9.7.11 temperament. Includes <a class="wiki_link" href="/machine">machine</a>, <a class="wiki_link" href="/orgone">orgone</a>, <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&amp;limit=2_9_7_11" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&amp;limit=2_9_7_11</a> and <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&amp;limit=2_9_7_11" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&amp;limit=2_9_7_11</a><br /> | <a class="wiki_link" href="/11edo">11</a> - Every other note of <a class="wiki_link" href="/22edo">22</a>. This makes it a great 2.9.7.11 temperament. Includes <a class="wiki_link" href="/machine">machine</a>, <a class="wiki_link" href="/orgone">orgone</a>, <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&amp;limit=2_9_7_11" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&amp;limit=2_9_7_11</a> and <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&amp;limit=2_9_7_11" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&amp;limit=2_9_7_11</a><br /> | ||
<a class="wiki_link" href="/12edo">12</a> (aka <a class="wiki_link" href="/19edt">19edt</a>, &quot;standard semitones&quot;) - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular <a class="wiki_link" href="/dominant">dominant</a> temperament. Also <a class="wiki_link" href="/augmented">augmented</a> and <a class="wiki_link" href="/diminished">diminished</a>. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of &quot;non-xenharmonic&quot; ensembles.<br /> | <a class="wiki_link" href="/12edo">12</a> (aka <a class="wiki_link" href="/19edt">19edt</a>, &quot;standard semitones&quot;) - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular <a class="wiki_link" href="/dominant">dominant</a> temperament. Also <a class="wiki_link" href="/augmented">augmented</a> and <a class="wiki_link" href="/diminished">diminished</a>. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of &quot;non-xenharmonic&quot; ensembles.<br /> | ||
<a class="wiki_link" href="/13edo">13</a> - Every other note of <a class="wiki_link" href="/26edo">26</a>. This makes it a good temperament for a | <a class="wiki_link" href="/13edo">13</a> - Every other note of <a class="wiki_link" href="/26edo">26</a>. This makes it a good temperament for a 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 <a class="wiki_link" href="/uncle">uncle</a> and <a class="wiki_link" href="/dicot">dicot</a>.<br /> | ||
<a class="wiki_link" href="/14edo">14</a> (aka &quot;whitewood semitones&quot;) - <a class="wiki_link" href="/Jamesbond">Jamesbond</a>, <a class="wiki_link" href="/bug">bug</a>/<a class="wiki_link" href="/semaphore">semaphore</a>, etc. (Quite bad whitewood tuning.) Pretty much misses &quot;minor&quot; and &quot;major&quot; thirds entirely, going straight from &quot;subminor&quot; to &quot;neutral&quot; to &quot;supermajor&quot;, which makes it very xenharmonic (thought not necessarily *pleasant*).<br /> | <a class="wiki_link" href="/14edo">14</a> (aka &quot;whitewood semitones&quot;) - <a class="wiki_link" href="/Jamesbond">Jamesbond</a>, <a class="wiki_link" href="/bug">bug</a>/<a class="wiki_link" href="/semaphore">semaphore</a>, etc. (Quite bad whitewood tuning.) Pretty much misses &quot;minor&quot; and &quot;major&quot; thirds entirely, going straight from &quot;subminor&quot; to &quot;neutral&quot; to &quot;supermajor&quot;, which makes it very xenharmonic (thought not necessarily *pleasant*). Also don't forget the presence of DTMF (&quot;touch tone&quot;) tones. Any phone number is a two-part piece of music!<br /> | ||
<a class="wiki_link" href="/15edo">15</a> (aka 24edt, &quot;blackwood 1/3-tones&quot;) - Very interesting for <a class="wiki_link" href="/blackwood">blackwood</a>, <a class="wiki_link" href="/porcupine">porcupine</a>, and others. A good all-around EDO. If you want to internalize <a class="wiki_link" href="/Porcupine%20intervals">porcupine interval categories</a>, use 15edo.<br /> | <a class="wiki_link" href="/15edo">15</a> (aka 24edt, &quot;blackwood 1/3-tones&quot;) - Very interesting for <a class="wiki_link" href="/blackwood">blackwood</a>, <a class="wiki_link" href="/porcupine">porcupine</a>, and others. A good all-around EDO. If you want to internalize <a class="wiki_link" href="/Porcupine%20intervals">porcupine interval categories</a>, use 15edo.<br /> | ||
<a class="wiki_link" href="/16edo">16</a> (aka 25edt, &quot;armodue semitones&quot;) - <a class="wiki_link" href="/Mavila">Mavila</a>/armodue | <a class="wiki_link" href="/16edo">16</a> (aka 25edt, &quot;armodue semitones&quot;) - <a class="wiki_link" href="/Mavila">Mavila</a>/armodue. 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, <a class="wiki_link" href="/gorgo">gorgo</a>.)<br /> | ||
<a class="wiki_link" href="/17edo">17</a> (aka <a class="wiki_link" href="/27edt">27edt</a>, &quot;superpyth 1/3-tones&quot;) - Really good no-5's system; <a class="wiki_link" href="/Supra">supra</a>, <a class="wiki_link" href="/bleu">bleu</a>, etc. The lack of 5-limit harmony forces you to think xenharmonically, but the nice accurate 3/2s form a solid familiar backbone you can depend on when things get too crazy.<br /> | <a class="wiki_link" href="/17edo">17</a> (aka <a class="wiki_link" href="/27edt">27edt</a>, &quot;superpyth 1/3-tones&quot;) - Really good no-5's system; <a class="wiki_link" href="/Supra">supra</a>, <a class="wiki_link" href="/bleu">bleu</a>, etc. The lack of 5-limit harmony forces you to think xenharmonically, but the nice accurate 3/2s form a solid familiar backbone you can depend on when things get too crazy. Also, neutral third scales are awesome. Compatible (not perfectly, of course) with a large number of maqamat.<br /> | ||
<a class="wiki_link" href="/18edo">18</a> - Almost totally useless.<br /> | <a class="wiki_link" href="/18edo">18</a> - Almost totally useless.<br /> | ||
<a class="wiki_link" href="/19edo">19</a> (aka 30edt, &quot;meantone 1/3-tones&quot;) - First EDO with a meantone diatonic scale (5L2s proper), but not only meantone! <a class="wiki_link" href="/Negri">Negri</a> is awesome, <a class="wiki_link" href="/godzilla">godzilla</a> is awesome, <a class="wiki_link" href="/sensi">sensi</a> is awesome, and <a class="wiki_link" href="/keemun">keemun</a> and <a class="wiki_link" href="/magic">magic</a> 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.<br /> | <a class="wiki_link" href="/19edo">19</a> (aka 30edt, &quot;meantone 1/3-tones&quot;) - First EDO with a meantone diatonic scale (5L2s proper), but not only meantone! <a class="wiki_link" href="/Negri">Negri</a> is awesome, <a class="wiki_link" href="/godzilla">godzilla</a> is awesome, <a class="wiki_link" href="/sensi">sensi</a> is awesome, and <a class="wiki_link" href="/keemun">keemun</a> and <a class="wiki_link" href="/magic">magic</a> 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.<br /> | ||
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<a class="wiki_link" href="/22edo">22</a> (aka 35edt, &quot;superpyth 1/4-tones&quot;) - Amazing and mind-blowing; many great <a class="wiki_link" href="/22edo#Theory-Properties%20of%2022%20equal%20temperament-Linear%20Temperaments">temperaments</a>. Not much reason to use more notes per octave than this, if you ask me.<br /> | <a class="wiki_link" href="/22edo">22</a> (aka 35edt, &quot;superpyth 1/4-tones&quot;) - Amazing and mind-blowing; many great <a class="wiki_link" href="/22edo#Theory-Properties%20of%2022%20equal%20temperament-Linear%20Temperaments">temperaments</a>. Not much reason to use more notes per octave than this, if you ask me.<br /> | ||
<a class="wiki_link" href="/23edo">23</a> (aka &quot;hornbostel 1/3-tones&quot;) - Mavila system similar to 16, but has <a class="wiki_link" href="/superpelog">superpelog</a> in addition. Nothing to write home about.<br /> | <a class="wiki_link" href="/23edo">23</a> (aka &quot;hornbostel 1/3-tones&quot;) - Mavila system similar to 16, but has <a class="wiki_link" href="/superpelog">superpelog</a> in addition. Nothing to write home about.<br /> | ||
<a class="wiki_link" href="/24edo">24</a> (aka 38edt, &quot;standard 1/4-tones&quot;) - Very worthwhile, and underrated because of its long history of &quot;microtonal&quot; (rather than &quot;xenharmonic&quot;) use. Really nails the 2.3.11 subgroup, and has all the familiar meantone harmony (and diatonic scale) of 12edo.</body></html></pre></div> | <a class="wiki_link" href="/24edo">24</a> (aka 38edt, &quot;standard 1/4-tones&quot;) - Very worthwhile, and underrated because of its long history of &quot;microtonal&quot; (rather than &quot;xenharmonic&quot;) use. Really nails the 2.3.11 subgroup, and has all the familiar meantone harmony (and diatonic scale) of 12edo. The basis of much low-level maqam music theory (maqamat are often presented as quarter tones).<br /> | ||
<a class="wiki_link" href="/25edo">25</a> (either &quot;blackwood 1/5-tones&quot; or &quot;armodue 1/3-tones&quot;) - Can be treated in two different ways (blackwood or mavila/armodue) depending on which interval you consider &quot;the fifth&quot; or &quot;3/2&quot;. Too many notes for either one of them - why not use 15 or 16 instead?<br /> | |||
<a class="wiki_link" href="/26edo">26</a> (aka 41edt, &quot;flattone 1/4-tones&quot;) - The forgotten meantone EDO, and the first true <a class="wiki_link" href="/flattone">flattone</a> EDO. Flattone is amazing because 8/7 and 7/6 are swapped from their roles in 7-limit meantone temperament, and because flattone[12] is much easier to hear as unequal than meantone[12]. Also has <a class="wiki_link" href="/injera">injera</a> and <a class="wiki_link" href="/cynder">cynder</a>/<a class="wiki_link" href="/mothra">mothra</a>.<br /> | |||
<a class="wiki_link" href="/27edo">27</a> (aka 43edt, &quot;superpyth 1/5-tones&quot;) - First true <a class="wiki_link" href="/tetracot">tetracot</a>/<a class="wiki_link" href="/modus">modus</a> EDO. Otherwise, it has an interesting combination of things (superpyth, neutral thirds, augene, sensi), which, however, all exist in smaller EDOs.</body></html></pre></div> | |||