Microtonal music by Gene Ward Smith: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are some of the microtonal pieces of [[Gene_Ward_Smith|Gene Ward Smith]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-31 12:01:23 UTC</tt>.<br>
: The original revision id was <tt>249715754</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">Below are some of the microtonal pieces of [[Gene Ward Smith]].


==Chromosounds==  
== ''Chromosounds'' ==
In [[46edo]]. Forty-six is the number of human chromosomes, but more relevantly has many useful properties as a temperament.
In [[46edo]]. Forty-six is the number of human chromosomes, but more relevantly has many useful properties as a temperament.
http://www.archive.org/details/Chromosounds [[http://www.archive.org/download/Chromosounds/Genewardsmith-Chromosounds.mp3|play]]
[[http://www.archive.org/download/Chromosounds/Genewardsmith-Chromosounds.mp3|GPO Jazz version rendered by Chris Vaisvil]]


==Choraled==
* [http://www.archive.org/details/Chromosounds details] | [http://www.archive.org/download/Chromosounds/Genewardsmith-Chromosounds.mp3 play]
This string quartet movement keeps trying to turn itself into a nice simple chorale, but gets distracted by various confusions and complexities. The chorale has been choraled. The piece is in a 26-note scale in the [[Hemifamity family|hemifamity temperament]], which is the 5120/5103 [[Planar Temperament|planar]] 7-limit temperament. It is in a synchronized tetrad beating tuning, which is a good one for hemifamity.
* [http://micro.soonlabel.com/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3 GPO Jazz version rendered by Chris Vaisvil]
http://www.archive.org/details/Choraled
[[http://www.archive.org/download/Choraled/Genewardsmith-Choraled.mp3|play]]


==Dreyfus==  
== ''Choraled'' ==
In the movie The Pink Panther Strikes Again, an insane Inspector Dreyfus escapes and terrorizes the world before accidentally disintegrating himself with his own death ray. As he slowly disappears, he plays the organ. This is my idea of music appropriate to such a condition; it is in the Octoid[72] scale of [[Ragismic microtemperaments|octoid temperament]], 72 notes out of [[224edo]]. To quote from the film, "What is the price of one piano compared to the terrible crime that's been committed here?"
This string quartet movement keeps trying to turn itself into a nice simple chorale, but gets distracted by various confusions and complexities. The chorale has been choraled. The piece is in a 26-note scale in the [[Hemifamity family|hemifamity temperament]], which is the 5120/5103 [[rank-3 temperament|planar]] 7-limit temperament. It is in a synchronized tetrad beating tuning, which is a good one for hemifamity.
http://www.archive.org/details/Dreyfus
[[http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3|play]]


==Bodacious Breed==  
* [http://www.archive.org/details/Choraled details] | [http://www.archive.org/download/Choraled/Genewardsmith-Choraled.mp3 play]
 
== ''Dreyfus'' ==
<soundcloud>https://soundcloud.com/genewardsmith/genewardsmith-dreyfus</soundcloud>
 
In the movie The Pink Panther Strikes Again, an insane Inspector Dreyfus escapes and terrorizes the world before accidentally disintegrating himself with his own death ray. As he slowly disappears, he plays the organ. This is my idea of music appropriate to such a condition; it is in the Octoid[72] scale of [[Ragismic_microtemperaments|octoid temperament]], 72 notes out of [[224edo]]. To quote from the film, "What is the price of one piano compared to the terrible crime that's been committed here?"
 
* [https://www.archive.org/details/Dreyfus details] | [https://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play]
 
== ''Bodacious Breed'' ==
Symphonic music in the 2401/2400-planar [[Breed family|breed temperament]], tuned to [[441edo]].
Symphonic music in the 2401/2400-planar [[Breed family|breed temperament]], tuned to [[441edo]].
http://www.archive.org/details/BodaciousBreed
[[http://www.archive.org/download/BodaciousBreed/Genewardsmith-BodaciousBreed.mp3|play]]


==Rough Diamond==  
* [http://www.archive.org/details/BodaciousBreed details] | [http://www.archive.org/download/BodaciousBreed/Genewardsmith-BodaciousBreed.mp3 play]
 
== ''Rough Diamond'' ==
Symphonic con brio using the Partch [[Diamonds|13-limit tonality diamond]] tuned as a scale.
Symphonic con brio using the Partch [[Diamonds|13-limit tonality diamond]] tuned as a scale.
http://www.archive.org/details/RoughDiamond
[[http://www.archive.org/download/RoughDiamond/Genewardsmith-RoughDiamond.mp3|play]]


==Ostinato on a difference set==  
* [http://www.archive.org/details/RoughDiamond details] | [http://www.archive.org/download/RoughDiamond/Genewardsmith-RoughDiamond.mp3 play]
 
== ''Ostinato on a difference set'' ==
This is a severely mathematical exercise applying the 13-element perfect difference set to the 13-element 7-limit tonality diamond. The violin riffs on the difference set, and with the clarinet permutes through various interval relationships, including unisons.
This is a severely mathematical exercise applying the 13-element perfect difference set to the 13-element 7-limit tonality diamond. The violin riffs on the difference set, and with the clarinet permutes through various interval relationships, including unisons.
http://www.archive.org/details/OstinatoOnADifferenceSet
[[http://www.archive.org/download/OstinatoOnADifferenceSet/Genewardsmith-OstinatoOnADifferenceSet.mp3|play]]


==Trio in Orwell==  
* [http://www.archive.org/details/OstinatoOnADifferenceSet details] | [http://www.archive.org/download/OstinatoOnADifferenceSet/Genewardsmith-OstinatoOnADifferenceSet.mp3 play]
A trio for clarinet, English horn and banjo in the [[Semicomma family|orwell temperament]], the 22&amp;31 rank two regular temperament. This is partly in the 9 note MOS of orwell, and partly explores farther, some of it becoming chromatic within the ambient tuning of the [[53edo|53 equal division]] of the octave.
 
http://www.archive.org/details/TrioInOrwell
=='' Trio in Orwell'' ==
[[http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3|play]]
A trio for clarinet, English horn and banjo in the [[orwell]] temperament, the 22&amp;31 rank two regular temperament. This is partly in the 9 note MOS of orwell, and partly explores farther, some of it becoming chromatic within the ambient tuning of the [[53edo|53 equal division of the octave]].
 
* [http://www.archive.org/details/TrioInOrwell details] | [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play]


==Threnody for the Victims of Wolfgang Amadeus Mozart==  
== ''Threnody for the Victims of Wolfgang Amadeus Mozart'' ==
The tuning is 13-limit JI, or [[6079edo]] if you want to get technical
The tuning is 13-limit JI, or [[6079edo]] if you want to get technical
http://www.archive.org/details/ThrenodyForTheVictimsOfWolfgangAmadeusMozart
[[http://www.archive.org/download/ThrenodyForTheVictimsOfWolfgangAmadeusMozart/Genewardsmith-ThrenodyForTheVictimsOfWolfgangAmadeusMozart.mp3|play]]


==Rachmaninoff Plays Blackjack==  
* [http://www.archive.org/details/ThrenodyForTheVictimsOfWolfgangAmadeusMozart details] | [http://www.archive.org/download/ThrenodyForTheVictimsOfWolfgangAmadeusMozart/Genewardsmith-ThrenodyForTheVictimsOfWolfgangAmadeusMozart.mp3 play]
This is in the 21-note [[Blackjack scale]] of [[Gamelismic clan|miracle temperament]], which has attracted some notice of late. The tuning is [[175edo]], and the melody was stolen from Sergei, and then folded, spindled, and mutilated. The rest is my fault.
 
http://www.archive.org/details/RachmaninoffPlaysBlackjack
== ''Rachmaninoff Plays Blackjack'' ==
[[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3|play]]
This is in the 21-note [[Blackjack scale]] of [[miracle]] temperament, which has attracted some notice of late. The tuning is [[175edo]], and the melody was stolen from Sergei, and then folded, spindled, and mutilated. The rest is my fault.
 
* [http://www.archive.org/details/RachmaninoffPlaysBlackjack details] | [http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play]


==Kotekant==  
== ''Kotekant'' ==
Kotekan is a type of Balinese Gamelan music involving fast interlocking parts. In this style there are two independent parts called polos and sangsih, each of which fills in the gaps of the other to form a complete rhythmic texture. This piece does something similar, only in [[72edo]].
Kotekan is a type of Balinese Gamelan music involving fast interlocking parts. In this style there are two independent parts called polos and sangsih, each of which fills in the gaps of the other to form a complete rhythmic texture. This piece does something similar, only in [[72edo]].
http://www.archive.org/details/Kotekant
[[http://www.archive.org/download/Kotekant/kotekant.mp3|play]]


==Music For Your Ears==  
* [http://www.archive.org/details/Kotekant details] | [http://www.archive.org/download/Kotekant/kotekant.mp3 play]
 
== ''Music For Your Ears'' ==
If you exchange 3/2 with 5/3 and 7/4 with 10/7, leaving 2 and 5 fixed, the resulting involution map also interchanges 126/125 and 64/63. If 126/125 is tempered out on one side of the exchange and 64/63 on the other, a tempered but of music can be sent to another bit in another temperament. This piece, dating to 2002, moves from [[46edo]], which tempers out 126/125, to [[27edo]], which tempers out 64/63, and back again using this method.
If you exchange 3/2 with 5/3 and 7/4 with 10/7, leaving 2 and 5 fixed, the resulting involution map also interchanges 126/125 and 64/63. If 126/125 is tempered out on one side of the exchange and 64/63 on the other, a tempered but of music can be sent to another bit in another temperament. This piece, dating to 2002, moves from [[46edo]], which tempers out 126/125, to [[27edo]], which tempers out 64/63, and back again using this method.
http://www.archive.org/details/MusicForYourEars
[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]


==Night on Porcupine Mountain==
* [http://www.archive.org/details/MusicForYourEars details] | [http://www.archive.org/download/MusicForYourEars/musicfor.mp3 play]
Mussorgky's Night on Bald Mountain isn't precisely found below; it has been "porcupinized" to a version in the [[Porcupine family|porcupine temperament]], tuned to [[22edo]] instead of [[12edo]]. Porcupine is the rank two ("linear") temperament which tempers out the porcupine comma, 250/243, instead of the 81/80 of meantone, and which divides the fourth into three equal parts, which define the generator. These parts can be tuned to three minor whole tone steps of [[22edo]], which is what Modest and I have done here.
http://www.archive.org/details/NightOnPorcupineMountain
[[http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3|play]]


==Pacem==  
== ''Night on Porcupine Mountain'' ==
Three twelve-note [[Fokker blocks]] can be constructed from 125/108 and 135/128, which give a scale which can be ordered according to the resulting val, which is &lt;12 19 27|. Below I have tuned the radiant Dona Nobis Pacem from Bach's Mass in b minor to one of these scales and orderings: 10/9 9/8 5/4 6/5 4/3 25/16 3/2 5/3 8/5 15/8 25/12 2. It comes out sounding very different!
Mussorgky's Night on Bald Mountain isn't precisely found below; it has been "porcupinized" to a version in the [[porcupine]] temperament, tuned to [[22edo]] instead of [[12edo]]. Porcupine is the rank two ("linear") temperament which tempers out the porcupine comma, 250/243, instead of the 81/80 of meantone, and which divides the fourth into three equal parts, which define the generator. These parts can be tuned to three minor whole tone steps of 22edo, which is what Modest and I have done here.
http://www.archive.org/details/Pacem
 
[[http://www.archive.org/download/Pacem/Genewardsmithbach-Pacem.mp3|play]]
* [http://www.archive.org/details/NightOnPorcupineMountain details] | [http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3 play]
 
== ''Pacem'' ==
Three twelve-note [[Fokker block]]s can be constructed from 125/108 and 135/128, which give a scale which can be ordered according to the resulting val, which is &lt;12 19 27|. Below I have tuned the radiant Dona Nobis Pacem from Bach's Mass in b minor to one of these scales and orderings: 10/9 9/8 5/4 6/5 4/3 25/16 3/2 5/3 8/5 15/8 25/12 2. It comes out sounding very different!
 
* [http://www.archive.org/details/Pacem details] | [http://www.archive.org/download/Pacem/Genewardsmithbach-Pacem.mp3 play]
 
== ''Pianodactyl'' ==
<soundcloud>https://soundcloud.com/genewardsmith/pianodactyl</soundcloud>


==Pianodactyl==
Pianodactyl is rhythmically complex, with lots of irregular starts and stops, and the name of the piece refers to Rodan. Strangely enough, however, it has nothing whatever to do with math rock.
Pianodactyl is rhythmically complex, with lots of irregular starts and stops, and the name of the piece refers to Rodan. Strangely enough, however, it has nothing whatever to do with math rock.


The name refers to [[Gamelismic clan|Rodan temperament]], the 26-note MOS of which is used for the scale. The tuning is [[87edo]]. I was tempted to switch tunings when Jacques Dudon posted his own 26-note tuning for Rodan, but equal temperaments are so convenient when using Scala, and 87 has the amazing property that it's exactly the same as the 13-limit Tenney-Euclidean pure-octaves ([[POTE tuning|POTE]]) tuning (well, the 8/7 generator is 0.00062 cents sharper: if you can comprehend that difference, my hat is off to you.)
The name refers to [[Rodan]] temperament, the 26-note MOS of which is used for the scale. The tuning is [[87edo]]. I was tempted to switch tunings when Jacques Dudon posted his own 26-note tuning for Rodan, but equal temperaments are so convenient when using Scala, and 87 has the amazing property that it's exactly the same as the 13-limit Tenney-Euclidean pure-octaves ([[POTE tuning|POTE]]) tuning (well, the 8/7 generator is 0.00062 cents sharper: if you can comprehend that difference, my hat is off to you.)


The name Rodan is the name of the temperament, one of the Japanese movie monster class which all have 8/7 (7/4) as generator. Rodan the Flying Monster is allegedly some sort of savage mutant pterodactyl, but the temperament is nicely behaved and wonderful if you like lots of 3 and 7 and slightly sharp fifths.
The name Rodan is the name of the temperament, one of the Japanese movie monster class which all have 8/7 (7/4) as generator. Rodan the Flying Monster is allegedly some sort of savage mutant pterodactyl, but the temperament is nicely behaved and wonderful if you like lots of 3 and 7 and slightly sharp fifths.


I used Dimitri Tymoczko's amazing dancing orbifolds to help me compose this, but he is in no way to blame for any defects in the result.
I used Dimitri Tymoczko's amazing dancing orbifolds to help me compose this, but he is in no way to blame for any defects in the result.
http://www.archive.org/details/Pianodactyl
[[http://www.archive.org/download/Pianodactyl/pianodactyl.mp3|play]]


==Trio for SoftSaturn, NebulaSing and TromBonehead==  
* [http://www.archive.org/details/Pianodactyl details] | [http://www.archive.org/download/Pianodactyl/pianodactyl.mp3 play]
SoftSaturn, NebulaSing and TromBonehead are three soundfonts in one of Bree Gorton's collection of tiny but effective soundfonts called "Gort's DoubleDecker". They are the three voices in a Renaissance-style trio in the [[Hobbits|hobbit scale]] [[guanyin22|Guanyin(22)]], a 22-note scale in the rank three [[Orwellismic family|guanyin temperament]] tempering out 176/175 and 540/539, which is tuned to [[111edo|111et]]. This is ostensibly an 11-limit scale, or at least it's an 11-limit hobbit, but 111 can handle much higher limits and a lot of the scale chords and intervals have higher-limit interpretations; I confined myself to using a touch of the 13-limit.
 
== ''Trio for SoftSaturn, NebulaSing and TromBonehead'' ==
SoftSaturn, NebulaSing and TromBonehead are three soundfonts in one of Bree Gorton's collection of tiny but effective soundfonts called "Gort's DoubleDecker". They are the three voices in a Renaissance-style trio in the [[hobbit scale]] [[guanyin22|Guanyin(22)]], a 22-note scale in the rank three [[guanyin]] temperament tempering out 176/175 and 540/539, which is tuned to [[111edo|111et]]. This is ostensibly an 11-limit scale, or at least it's an 11-limit hobbit, but 111 can handle much higher limits and a lot of the scale chords and intervals have higher-limit interpretations; I confined myself to using a touch of the 13-limit.


It's "Renaissance-style" since three contrapuntal voices with a lot of near-imitation where the harmony is not conceived chordally but is defined by the conjunction of the horizontal motion of the voices is a Renaissance concept.
It's "Renaissance-style" since three contrapuntal voices with a lot of near-imitation where the harmony is not conceived chordally but is defined by the conjunction of the horizontal motion of the voices is a Renaissance concept.
http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297
 
[[http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3|play]]</pre></div>
* [http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297 details] | [http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3 play]
<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;Microtonal Music by Gene Ward Smith&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are some of the microtonal pieces of &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;.&lt;br /&gt;
[[Category:Listen]]
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Chromosounds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Chromosounds&lt;/h2&gt;
In &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;. Forty-six is the number of human chromosomes, but more relevantly has many useful properties as a temperament.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:144:http://www.archive.org/details/Chromosounds --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow"&gt;http://www.archive.org/details/Chromosounds&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:144 --&gt; &lt;a class="wiki_link_ext" href="http://www.archive.org/download/Chromosounds/Genewardsmith-Chromosounds.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Chromosounds/Genewardsmith-Chromosounds.mp3" rel="nofollow"&gt;GPO Jazz version rendered by Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Choraled"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Choraled&lt;/h2&gt;
This string quartet movement keeps trying to turn itself into a nice simple chorale, but gets distracted by various confusions and complexities. The chorale has been choraled. The piece is in a 26-note scale in the &lt;a class="wiki_link" href="/Hemifamity%20family"&gt;hemifamity temperament&lt;/a&gt;, which is the 5120/5103 &lt;a class="wiki_link" href="/Planar%20Temperament"&gt;planar&lt;/a&gt; 7-limit temperament. It is in a synchronized tetrad beating tuning, which is a good one for hemifamity.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:145:http://www.archive.org/details/Choraled --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Choraled" rel="nofollow"&gt;http://www.archive.org/details/Choraled&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:145 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Choraled/Genewardsmith-Choraled.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Dreyfus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Dreyfus&lt;/h2&gt;
In the movie The Pink Panther Strikes Again, an insane Inspector Dreyfus escapes and terrorizes the world before accidentally disintegrating himself with his own death ray. As he slowly disappears, he plays the organ. This is my idea of music appropriate to such a condition; it is in the Octoid[72] scale of &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;octoid temperament&lt;/a&gt;, 72 notes out of &lt;a class="wiki_link" href="/224edo"&gt;224edo&lt;/a&gt;. To quote from the film, &amp;quot;What is the price of one piano compared to the terrible crime that's been committed here?&amp;quot;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:146:http://www.archive.org/details/Dreyfus --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Dreyfus" rel="nofollow"&gt;http://www.archive.org/details/Dreyfus&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:146 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Bodacious Breed"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Bodacious Breed&lt;/h2&gt;
Symphonic music in the 2401/2400-planar &lt;a class="wiki_link" href="/Breed%20family"&gt;breed temperament&lt;/a&gt;, tuned to &lt;a class="wiki_link" href="/441edo"&gt;441edo&lt;/a&gt;.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:147:http://www.archive.org/details/BodaciousBreed --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/BodaciousBreed" rel="nofollow"&gt;http://www.archive.org/details/BodaciousBreed&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:147 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/BodaciousBreed/Genewardsmith-BodaciousBreed.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Rough Diamond"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Rough Diamond&lt;/h2&gt;
Symphonic con brio using the Partch &lt;a class="wiki_link" href="/Diamonds"&gt;13-limit tonality diamond&lt;/a&gt; tuned as a scale.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:148:http://www.archive.org/details/RoughDiamond --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/RoughDiamond" rel="nofollow"&gt;http://www.archive.org/details/RoughDiamond&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:148 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/RoughDiamond/Genewardsmith-RoughDiamond.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Ostinato on a difference set"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Ostinato on a difference set&lt;/h2&gt;
This is a severely mathematical exercise applying the 13-element perfect difference set to the 13-element 7-limit tonality diamond. The violin riffs on the difference set, and with the clarinet permutes through various interval relationships, including unisons.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:149:http://www.archive.org/details/OstinatoOnADifferenceSet --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/OstinatoOnADifferenceSet" rel="nofollow"&gt;http://www.archive.org/details/OstinatoOnADifferenceSet&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:149 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/OstinatoOnADifferenceSet/Genewardsmith-OstinatoOnADifferenceSet.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Trio in Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Trio in Orwell&lt;/h2&gt;
A trio for clarinet, English horn and banjo in the &lt;a class="wiki_link" href="/Semicomma%20family"&gt;orwell temperament&lt;/a&gt;, the 22&amp;amp;31 rank two regular temperament. This is partly in the 9 note MOS of orwell, and partly explores farther, some of it becoming chromatic within the ambient tuning of the &lt;a class="wiki_link" href="/53edo"&gt;53 equal division&lt;/a&gt; of the octave.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:150:http://www.archive.org/details/TrioInOrwell --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioInOrwell" rel="nofollow"&gt;http://www.archive.org/details/TrioInOrwell&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:150 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Threnody for the Victims of Wolfgang Amadeus Mozart"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Threnody for the Victims of Wolfgang Amadeus Mozart&lt;/h2&gt;
The tuning is 13-limit JI, or &lt;a class="wiki_link" href="/6079edo"&gt;6079edo&lt;/a&gt; if you want to get technical&lt;br /&gt;
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&lt;a class="wiki_link_ext" href="http://www.archive.org/download/ThrenodyForTheVictimsOfWolfgangAmadeusMozart/Genewardsmith-ThrenodyForTheVictimsOfWolfgangAmadeusMozart.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Rachmaninoff Plays Blackjack"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Rachmaninoff Plays Blackjack&lt;/h2&gt;
This is in the 21-note &lt;a class="wiki_link" href="/Blackjack%20scale"&gt;Blackjack scale&lt;/a&gt; of &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;miracle temperament&lt;/a&gt;, which has attracted some notice of late. The tuning is &lt;a class="wiki_link" href="/175edo"&gt;175edo&lt;/a&gt;, and the melody was stolen from Sergei, and then folded, spindled, and mutilated. The rest is my fault.&lt;br /&gt;
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&lt;a class="wiki_link_ext" href="http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Kotekant"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Kotekant&lt;/h2&gt;
Kotekan is a type of Balinese Gamelan music involving fast interlocking parts. In this style there are two independent parts called polos and sangsih, each of which fills in the gaps of the other to form a complete rhythmic texture. This piece does something similar, only in &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:153:http://www.archive.org/details/Kotekant --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Kotekant" rel="nofollow"&gt;http://www.archive.org/details/Kotekant&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:153 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Kotekant/kotekant.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Music For Your Ears"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Music For Your Ears&lt;/h2&gt;
If you exchange 3/2 with 5/3 and 7/4 with 10/7, leaving 2 and 5 fixed, the resulting involution map also interchanges 126/125 and 64/63. If 126/125 is tempered out on one side of the exchange and 64/63 on the other, a tempered but of music can be sent to another bit in another temperament. This piece, dating to 2002, moves from &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, which tempers out 126/125, to &lt;a class="wiki_link" href="/27edo"&gt;27edo&lt;/a&gt;, which tempers out 64/63, and back again using this method.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:154:http://www.archive.org/details/MusicForYourEars --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow"&gt;http://www.archive.org/details/MusicForYourEars&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:154 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/MusicForYourEars/musicfor.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Night on Porcupine Mountain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Night on Porcupine Mountain&lt;/h2&gt;
Mussorgky's Night on Bald Mountain isn't precisely found below; it has been &amp;quot;porcupinized&amp;quot; to a version in the &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine temperament&lt;/a&gt;, tuned to &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; instead of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. Porcupine is the rank two (&amp;quot;linear&amp;quot;) temperament which tempers out the porcupine comma, 250/243, instead of the 81/80 of meantone, and which divides the fourth into three equal parts, which define the generator. These parts can be tuned to three minor whole tone steps of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, which is what Modest and I have done here.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:155:http://www.archive.org/details/NightOnPorcupineMountain --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/NightOnPorcupineMountain" rel="nofollow"&gt;http://www.archive.org/details/NightOnPorcupineMountain&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:155 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/NightOnPorcupineMountain/Genewardsmithmussorgsky-NightOnPorcupineMountain.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Pacem"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Pacem&lt;/h2&gt;
Three twelve-note &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker blocks&lt;/a&gt; can be constructed from 125/108 and 135/128, which give a scale which can be ordered according to the resulting val, which is &amp;lt;12 19 27|. Below I have tuned the radiant Dona Nobis Pacem from Bach's Mass in b minor to one of these scales and orderings: 10/9 9/8 5/4 6/5 4/3 25/16 3/2 5/3 8/5 15/8 25/12 2. It comes out sounding very different!&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:156:http://www.archive.org/details/Pacem --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Pacem" rel="nofollow"&gt;http://www.archive.org/details/Pacem&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:156 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Pacem/Genewardsmithbach-Pacem.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-Pianodactyl"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Pianodactyl&lt;/h2&gt;
Pianodactyl is rhythmically complex, with lots of irregular starts and stops, and the name of the piece refers to Rodan. Strangely enough, however, it has nothing whatever to do with math rock.&lt;br /&gt;
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The name refers to &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan temperament&lt;/a&gt;, the 26-note MOS of which is used for the scale. The tuning is &lt;a class="wiki_link" href="/87edo"&gt;87edo&lt;/a&gt;. I was tempted to switch tunings when Jacques Dudon posted his own 26-note tuning for Rodan, but equal temperaments are so convenient when using Scala, and 87 has the amazing property that it's exactly the same as the 13-limit Tenney-Euclidean pure-octaves (&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE&lt;/a&gt;) tuning (well, the 8/7 generator is 0.00062 cents sharper: if you can comprehend that difference, my hat is off to you.)&lt;br /&gt;
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The name Rodan is the name of the temperament, one of the Japanese movie monster class which all have 8/7 (7/4) as generator. Rodan the Flying Monster is allegedly some sort of savage mutant pterodactyl, but the temperament is nicely behaved and wonderful if you like lots of 3 and 7 and slightly sharp fifths.&lt;br /&gt;
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I used Dimitri Tymoczko's amazing dancing orbifolds to help me compose this, but he is in no way to blame for any defects in the result.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:157:http://www.archive.org/details/Pianodactyl --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Pianodactyl" rel="nofollow"&gt;http://www.archive.org/details/Pianodactyl&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:157 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/Pianodactyl/pianodactyl.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Trio for SoftSaturn, NebulaSing and TromBonehead"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Trio for SoftSaturn, NebulaSing and TromBonehead&lt;/h2&gt;
SoftSaturn, NebulaSing and TromBonehead are three soundfonts in one of Bree Gorton's collection of tiny but effective soundfonts called &amp;quot;Gort's DoubleDecker&amp;quot;. They are the three voices in a Renaissance-style trio in the &lt;a class="wiki_link" href="/Hobbits"&gt;hobbit scale&lt;/a&gt; &lt;a class="wiki_link" href="/guanyin22"&gt;Guanyin(22)&lt;/a&gt;, a 22-note scale in the rank three &lt;a class="wiki_link" href="/Orwellismic%20family"&gt;guanyin temperament&lt;/a&gt; tempering out 176/175 and 540/539, which is tuned to &lt;a class="wiki_link" href="/111edo"&gt;111et&lt;/a&gt;. This is ostensibly an 11-limit scale, or at least it's an 11-limit hobbit, but 111 can handle much higher limits and a lot of the scale chords and intervals have higher-limit interpretations; I confined myself to using a touch of the 13-limit.&lt;br /&gt;
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It's &amp;quot;Renaissance-style&amp;quot; since three contrapuntal voices with a lot of near-imitation where the harmony is not conceived chordally but is defined by the conjunction of the horizontal motion of the voices is a Renaissance concept.&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:158:http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297 --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297" rel="nofollow"&gt;http://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:158 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>