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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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| de = 96-EDO
: This revision was by author [[User:tonysalinas|tonysalinas]] and made on <tt>2007-09-17 04:32:00 UTC</tt>.<br>
| en = 96edo
: The original revision id was <tt>8059833</tt>.<br>
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<h4>Original Wikitext content:</h4>
{{Infobox ET}}
<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">96 equal divisions of the octave was first used by Julian Carrillo who built a piano with 96 notes to the octave
{{Wikipedia|96 equal temperament}}
{{ED intro}}


LINKS TO JULIAN CARRILLO
== Theory ==
As a [[5-limit]] system, 96edo can be characterized by the fact that it tempers out both the [[Pythagorean comma]], 531441/524288, [[Würschmidt's comma]], 393216/390625, the [[unicorn comma]], 1594323/1562500, and the [[kwazy comma]], {{monzo| -53 10 16 }}. It therefore has the same familiar 700{{c}} fifth as [[12edo]], and has a best major third of 387.5{{c}}, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the [[würschmidt family]] of temperaments. It also tempers out the unicorn comma, and serves a way of tuning temperaments in the [[unicorn family]]. It supports [[Substitute harmonic#Sitcom|sitcom]] temperament.


=[[http://paginas.tol.itesm.mx/campus/L00280370/carrillo.html|Julian Carrillo and the 13th Sound a microtonal musical system]]=
One notable benefit of 96edo's representation of the 5-limit is that its dramatic narrowing of [[81/80]] allows for a less dissonant [[~]][[40/27]] wolf fifth. This allows for the potential of a 12-note subset of 96edo being seen as a [[well temperament]], and as part of an equal temperament, this scale could be rotated around during the run-time of a piece of music.


* [[http://paginas.tol.itesm.mx/campus/L00280370/julian.html|Julián Carrillo y el Sonido 13]] por Ernesto Solís Winkler. Versión en Inglés y Español.
In the [[7-limit]], 96 has two possible mappings for [[7/4]], a sharp one of 975{{c}} from the [[patent val]], and a flat one of 962.5{{c}} from 96d. Using the sharp mapping, 96 tempers out [[225/224]] and [[support]]s 7-limit [[würschmidt]] temperament, and using the flat mapping it tempers out [[126/125]] and supports [[worschmidt]] temperament. We can also dispense with 7 altogether, and use it as a no-sevens system, where it tempers out [[243/242]] in the 11-limit and [[676/675]] in the 13-limit. If we include 7, then the sharp mapping tempers out [[99/98]] and [[176/175]] in the 11-limit, and [[169/168]] in the 13-limit, and this provides the optimal patent val for the [[Marvel temperaments #Interpental|interpental temperament]]. With the flat 7 it tempers out [[385/384]] in the 11-limit and [[196/195]] and [[364/363]] in the 13-limit, and serves for the various temperaments of the unicorn family.
* [[http://brahms.ircam.fr/textes/c00000454/|Julián Carrillo]] (Centre George Pompidou)
* [[http://www.cenart.gob.mx/centros/cenidim/eventos/M_julian_carrillo.htm|Centro Nacional de Investigación, Documentación e Información Musical]]
*
[[http://www.myspace.com/juliancarrillo|Julián Carrillo en My Space]]
* [[http://www.smf.mx/boletin/Jul-96/articles/son13.html|Sonido 13: hacia el infinito musical]] por J.R. Martínez y S. Palomares-Sánchez.
* Dos movimientos de la //Suite Improntus//, para guitarra en cuartos de tono [[http://www.xs4all.nl/%7Ehuygensf/english/music.html|Stichting Huygens-Fokker Centrum voor Microtonale Muziek]]
* [[http://www.klassiekemuziekgids.net/componisten/carrillo.htm|Julián Carrillo]] ([[http://www.klassiekemuziekgids.net/index.html|klassiekemuziekgids.net]]) 
* [[http://www.cnca.gob.mx/cnca/nuevo/diarias/051199/testimon.html|Julián Carrillo: Testimonio de una vida]] Reseña de la reedición del libro editado por el gobierno de San Luis Potosí en 1992. (Gabriel Ríos) 
*
[[http://www.sauter-pianos.de/spanish/pianos/microtone.html|Pianos Sauter]] fue la fábrica alemana que construyó los pianos ideados por Julián Carrillo.
* Pianos metamorfoseadores en 16avos de tono**.**
&gt; [[mailto:[email protected]?subject=Carrillo%27s%20pianos|Ulrich Sauter]] | [[http://www.sauter-pianos.de/deutsch/|Sauter Pianos]]
* [[http://www.zeitklang.de/cd_thecarrillo.htm|The Carrillo Tone Piano 1/16]] CD with works by Ernest Helmuth Flammer, Marc Kilchenmann, Bernfried E. G. Pröve, Martin Imholz, Franck Cristoph Yeznikian, Werner Grimmel, and Alain Bancquart, using Carrillo's 16th tone piano. http://www.zeitklang.de/
* [[http://www.jornada.unam.mx/2005/07/10/a02n2cul.php|Articulo La Jornada]]  
* [[http://sepiensa.org.mx/contenidos/menu_arte/l_mexXX/sigloxx/carrillo/1.htm|Sonido 13 una explicación sencilla por Jesús Herrera .]]  
* [[http://www.orphee.com/madreng.htm|Rafael Adame and the First Guitar Concerto of the Twentieth Century]]
* [[http://www.anaphoria.com/novaro.html|The Augusto Novaro Society]]  
* [[http://www.geocities.com/Bernalorg/|Estudio en 53 (Augusto Novaro)]] (Jesús Bernal, Mexican organist)
* [[http://mac-texier.ircam.fr/textes/c00001420/|Jean-Etienne Marie]]
* 
[[http://www.gimenezcacho.com/indexF.htm|Jimena Giménez Cacho ]]  
* 
[[http://cronica.diputados.gob.mx/DDebates/34/1er/Ord/19301121.html|Salón de Sesiones de la H. Cámara de Diputados. - México, D.F. a 21 de noviembre de 1930]]
*
[[http://www.microtono.net/desempolvando/sonido13.html|Microtono: El Sonido 13 en Ecuador]]  
* 
[[http://www.epdlp.com/compclasico.php?id=973|El Poder de la Palabra. Breve biografía de Julián Carrillo]]
*
[[http://www.guije.com/cosas/folk/carrillo.htm|Eduardo Sánchez, La Habana 1928]]
*
[[http://www.jornada.unam.mx/2005/12/11/sem-cacho.html|La Jornada, Jimena Jiménez, diciembre del 2005]]


=== Prime harmonics ===
{{Harmonics in equal|96}}


[[http://www.zeitklang.de/cd_thecarrillo.htm|Listen to contemporary composers playing the 96edo Sauter piano called: 'Carrilla piano']]
=== As a tuning standard ===
A step of 96edo is known as a '''triamu''' (third MIDI-resolution unit, 3mu, 2<sup>3</sup> = 8 equal divisions of the 12edo semitone). The internal data structure of the 3mu requires one byte, with the first two bits reserved as flags, one to indicate the byte's status as data, and one to indicate the sign (+ or &minus;) showing the direction of the pitch-bend up or down, and three other bits which are not used.


[[http://www.esnips.com/_t_/96-edo| Improvised microtonal music for setar with 3 strings in 96-EDO.mp3 in Shaahin's esnips microtonal music folder]]</pre></div>
=== Subsets and supersets ===
<h4>Original HTML content:</h4>
Since 96 factors into {{factorization|96}}, 96edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48 }}. [[192edo]], which doubles it, corrects the 7th harmonic to near-just.
<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;96edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;96 equal divisions of the octave was first used by Julian Carrillo who built a piano with 96 notes to the octave&lt;br /&gt;
 
&lt;br /&gt;
== Intervals ==
LINKS TO JULIAN CARRILLO&lt;br /&gt;
{{Interval table}}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Julian Carrillo and the 13th Sound a microtonal musical system"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link_ext" href="http://paginas.tol.itesm.mx/campus/L00280370/carrillo.html" rel="nofollow"&gt;Julian Carrillo and the 13th Sound a microtonal musical system&lt;/a&gt;&lt;/h1&gt;
== Notation ==
&lt;br /&gt;
=== Ups and downs notation ===
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://paginas.tol.itesm.mx/campus/L00280370/julian.html" rel="nofollow"&gt;Julián Carrillo y el Sonido 13&lt;/a&gt; por Ernesto Solís Winkler. Versión en Inglés y Español.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://brahms.ircam.fr/textes/c00000454/" rel="nofollow"&gt;Julián Carrillo&lt;/a&gt; (Centre George Pompidou)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.cenart.gob.mx/centros/cenidim/eventos/M_julian_carrillo.htm" rel="nofollow"&gt;Centro Nacional de Investigación, Documentación e Información Musical&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;br /&gt;
96edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals:
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.myspace.com/juliancarrillo" rel="nofollow"&gt;Julián Carrillo en My Space&lt;/a&gt; &lt;br /&gt;
 
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.smf.mx/boletin/Jul-96/articles/son13.html" rel="nofollow"&gt;Sonido 13: hacia el infinito musical&lt;/a&gt; por J.R. Martínez y S. Palomares-Sánchez.&lt;/li&gt;&lt;li&gt;Dos movimientos de la &lt;em&gt;Suite Improntus&lt;/em&gt;, para guitarra en cuartos de tono &lt;a class="wiki_link_ext" href="http://www.xs4all.nl/%7Ehuygensf/english/music.html" rel="nofollow"&gt;Stichting Huygens-Fokker Centrum voor Microtonale Muziek&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.klassiekemuziekgids.net/componisten/carrillo.htm" rel="nofollow"&gt;Julián Carrillo&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.klassiekemuziekgids.net/index.html" rel="nofollow"&gt;klassiekemuziekgids.net&lt;/a&gt;)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.cnca.gob.mx/cnca/nuevo/diarias/051199/testimon.html" rel="nofollow"&gt;Julián Carrillo: Testimonio de una vida&lt;/a&gt; Reseña de la reedición del libro editado por el gobierno de San Luis Potosí en 1992. (Gabriel Ríos)&lt;/li&gt;&lt;li&gt;&lt;br /&gt;
{{Sharpness-sharp8|96}}
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.sauter-pianos.de/spanish/pianos/microtone.html" rel="nofollow"&gt;Pianos Sauter&lt;/a&gt; fue la fábrica alemana que construyó los pianos ideados por Julián Carrillo.&lt;br /&gt;
 
&lt;ul&gt;&lt;li&gt;Pianos metamorfoseadores en 16avos de tono&lt;strong&gt;.&lt;/strong&gt;&lt;br /&gt;
== Approximation to JI ==
&lt;a class="wiki_link_ext" href="mailto:Ulrich.[email protected]?subject=Carrillo%27s%20pianos" rel="nofollow"&gt;Ulrich Sauter&lt;/a&gt; | &lt;a class="wiki_link_ext" href="http://www.sauter-pianos.de/deutsch/" rel="nofollow"&gt;Sauter Pianos&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.zeitklang.de/cd_thecarrillo.htm" rel="nofollow"&gt;The Carrillo Tone Piano 1/16&lt;/a&gt; CD with works by Ernest Helmuth Flammer, Marc Kilchenmann, Bernfried E. G. Pröve, Martin Imholz, Franck Cristoph Yeznikian, Werner Grimmel, and Alain Bancquart, using Carrillo's 16th tone piano. &lt;!-- ws:start:WikiTextUrlRule:118:http://www.zeitklang.de/ --&gt;&lt;a class="wiki_link_ext" href="http://www.zeitklang.de/" rel="nofollow"&gt;http://www.zeitklang.de/&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:118 --&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.jornada.unam.mx/2005/07/10/a02n2cul.php" rel="nofollow"&gt;Articulo La Jornada&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sepiensa.org.mx/contenidos/menu_arte/l_mexXX/sigloxx/carrillo/1.htm" rel="nofollow"&gt;Sonido 13 una explicación sencilla por Jesús Herrera .&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.orphee.com/madreng.htm" rel="nofollow"&gt;Rafael Adame and the First Guitar Concerto of the Twentieth Century&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.anaphoria.com/novaro.html" rel="nofollow"&gt;The Augusto Novaro Society&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.geocities.com/Bernalorg/" rel="nofollow"&gt;Estudio en 53 (Augusto Novaro)&lt;/a&gt; (Jesús Bernal, Mexican organist)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://mac-texier.ircam.fr/textes/c00001420/" rel="nofollow"&gt;Jean-Etienne Marie&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;br /&gt;
{{Q-odd-limit intervals}}
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.gimenezcacho.com/indexF.htm" rel="nofollow"&gt;Jimena Giménez Cacho &lt;/a&gt; &lt;br /&gt;
 
&lt;ul&gt;&lt;li&gt;&lt;br /&gt;
== Regular temperament properties ==
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://cronica.diputados.gob.mx/DDebates/34/1er/Ord/19301121.html" rel="nofollow"&gt;Salón de Sesiones de la H. Cámara de Diputados. - México, D.F. a 21 de noviembre de 1930&lt;/a&gt;&lt;br /&gt;
{| class="wikitable center-4 center-5 center-6"
&lt;ul&gt;&lt;li&gt;&lt;br /&gt;
|-
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.microtono.net/desempolvando/sonido13.html" rel="nofollow"&gt;Microtono: El Sonido 13 en Ecuador&lt;/a&gt; &lt;br /&gt;
! rowspan="2" | [[Subgroup]]
&lt;ul&gt;&lt;li&gt;&lt;br /&gt;
! rowspan="2" | [[Comma list|Comma List]]
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.epdlp.com/compclasico.php?id=973" rel="nofollow"&gt;El Poder de la Palabra. Breve biografía de Julián Carrillo&lt;/a&gt;&lt;br /&gt;
! rowspan="2" | [[Mapping]]
&lt;ul&gt;&lt;li&gt;&lt;br /&gt;
! rowspan="2" | Optimal<br>8ve Stretch (¢)
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.guije.com/cosas/folk/carrillo.htm" rel="nofollow"&gt;Eduardo Sánchez, La Habana 1928&lt;/a&gt;&lt;br /&gt;
! colspan="2" | Tuning Error
&lt;ul&gt;&lt;li&gt;&lt;br /&gt;
|-
&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://www.jornada.unam.mx/2005/12/11/sem-cacho.html" rel="nofollow"&gt;La Jornada, Jimena Jiménez, diciembre del 2005&lt;/a&gt;&lt;br /&gt;
! [[TE error|Absolute]] (¢)
&lt;br /&gt;
! [[TE simple badness|Relative]] (%)
&lt;br /&gt;
|-
&lt;a class="wiki_link_ext" href="http://www.zeitklang.de/cd_thecarrillo.htm" rel="nofollow"&gt;Listen to contemporary composers playing the 96edo Sauter piano called: 'Carrilla piano'&lt;/a&gt;&lt;br /&gt;
| 2.3.5
&lt;br /&gt;
| 393216/390625, 531441/524288
&lt;a class="wiki_link_ext" href="http://www.esnips.com/_t_/96-edo" rel="nofollow"&gt; Improvised microtonal music for setar with 3 strings in 96-EDO.mp3 in Shaahin's esnips microtonal music folder&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
| {{mapping| 96 152 223 }}
| +0.240
| 0.732
| 5.86
|-
| 2.3.5.11
| 243/242, 5632/5625, 131769/131072
| {{mapping| 96 152 223 332 }}
| +0.276
| 0.637
| 5.10
|}
 
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|-
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>ratio*
! Temperament
|-
| 1
| 5\96
| 62.5
| 28/27
| [[Unicorn]] / [[camahueto]] (96d)
|-
| 1
| 21\96
| 262.5
| 64/55
| [[Subgroup temperaments #Spog|Spog]]
|-
| 1
| 29\96
| 362.5
| 16/13
| [[Buzzardsmic clan #Demibuzzard|Demibuzzard]] / [[interpental]] (96)
|-
| 1
| 31\96
| 387.5
| 5/4
| [[Würschmidt]] (96) / [[worschmidt]] (96d)
|-
| 2
| 5\96
| 62.5
| 28/27
| [[Monocerus]] (96d)
|-
| 2
| 13\96
| 162.5
| 11/10
| [[Gwazy]] (96) / [[bisupermajor]] (96d)
|-
| 2
| 25\96
| 312.5
| 6/5
| [[Vines]] (96d)
|-
| 12
| 31\96<br>(1\96)
| 387.5<br>(12.5)
| 5/4<br>(126/125)
| [[Compton]] (7-limit, 96)
|-
| 24
| 31\96<br>(1\96)
| 387.5<br>(12.5)
| 5/4<br>(245/243)
| [[Hours]] (96d)
|}
 
== Scales ==
* [[5- to 10-tone scales in 96edo]]
 
== History ==
96 equal divisions of the octave was first used by the Mexican composer and theorist [[Julián Carrillo]]. It has subsequently been used by a number of other composers.
 
=== Carrillo ===
{{Main| Julián Carrillo }}
 
=== Other composers ===
Works for the [http://www.sauter-pianos.de/english/pianos/microtone.html Sauter's 1/16tone microtone piano] by the composers [http://presence.or.at/einklang/Archiv/archiv_Komponisten_E.htm#flammer Ernest Helmuth Flammer], Marc Kilchenmann, Bernfried E. G. Pröve, [http://www.musinfo.ch/index.php?content=maske_werke&pers_id=150&name=Imholz&vorname=Martin&setLanguage=en Martin Imholz], Franck Cristoph Yeznikian, [http://www.schauhoer-verlag.de/cms/file_download/13/Vita_WMG_lang.pdf Werner Grimmel], and [http://www.moderecords.com/catalog/120_121bancquart.html Alain Bancquart], are recompilated on this CD: [http://www.dominikblum.ch/carillo_d.shtml 'The Carrillo tone piano'] .
 
* [http://www.96edo.com/ Mohajeri, Shaahin]
* [http://mac-texier.ircam.fr/textes/c00001420/ Marie, Jean-Etienne]
* [[Wikipedia: Pascale Criton|Criton, Pascale]]
* [http://www.tonysalinas.com/ Martin Salinas, J.A.] [[Autumn|'Autumn' conic bellophone &amp; mixed quintet.mp3]] / [[Conic_Bellophone_in_96edo|Pictures of the 96edo conic bellophone]]
* [[Wikipedia: Georg Friedrich Haas|Haas, Georg Friedrich]], "flow and friction"
 
== Instruments ==
 
The piano manufacturer [https://www.sauter-pianos.de/en Sauter] produces an acoustic piano tuned in 96edo:
 
[https://www.sauter-pianos.de/en/microtone Sauter 1/16 Tone piano]
 
; Lumatone
* [[Lumatone mapping for 96edo]]
 
== Music ==
 
=== 20th century ===
 
; [[Julián Carrillo]]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3 ''Cromometrofonía #1'']{{dead link}}
* [https://www.youtube.com/watch?v=tDHMnlQri3g ''Preludio a Colon''] (1925)
 
=== 21st century ===
 
; Various composers (Alain Bancquart, Ernst Helmuth Flammer, Werner Grimmel, Marin Imholz, Marc Kilchenmann, Bernfried E. G. Pröve, Franck Christoph Yeznikian, Sylvaine Billier, Dominik Blum, Martine Joste)
* [https://www.discogs.com/sell/release/17561818 The Carillo 1/16-Tone Piano.] (2003)
 
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/8xqjUkuZFaI ''microtonal improvisation in 96edo''] (2025)
 
; [[Shahiin Mohajeri]]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3 ''4gah for brass'']{{dead link}}
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3 ''Endless life'']{{dead link}}
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Heroic%20elegy.mp3 ''Heroic elegy'']{{dead link}}
 
; [[Juhani Nuorvala]]
* [https://www.youtube.com/watch?v=aAHkjOvplVg ''Kellot (Bells)''] (2025) – in Porcupine[7], 96edo tuning
 
; [[Tony Salinas]]
* [[:File:01_-_Autumn_1.mp3|''Autumn'' for conic bellophone and mixed quintet]] (2007)
; [[Randy Wells]]
* [https://www.youtube.com/watch?v=XuS8VxDnJm4 ''Butterfly Skin''] (2021)
* [https://www.youtube.com/watch?v=HfZtsiGUmOA ''Dream of a memory, memory of a dream''] (2021)
* [https://www.youtube.com/watch?v=QAnOwQY55bE ''The Persistence of Memory''] (2021)
 
; [[Anne Veinberg]]
* [https://www.youtube.com/watch?v=IEnlgXFAfd4 ''Short impro on the 96 tone Carrillo piano''] (2014)
 
== See also ==
* [[Equal-step tuning|Equal multiplications]] of MIDI-resolution units
** [[24edo]] (1mu tuning)
** [[48edo]] (2mu tuning)
** [[192edo]] (4mu tuning)
** [[384edo]] (5mu tuning)
** [[768edo]] (6mu tuning)
** [[1536edo]] (7mu tuning)
** [[3072edo]] (8mu tuning)
** [[6144edo]] (9mu tuning)
** [[12288edo]] (10mu tuning)
** [[24576edo]] (11mu tuning)
** [[49152edo]] (12mu tuning)
** [[98304edo]] (13mu tuning)
** [[196608edo]] (14mu tuning)
 
== External links ==
* [http://tonalsoft.com/enc/number/3mu.aspx 3mu / triamu] on [[Tonalsoft Encyclopedia]]
 
[[Category:Listen]]
[[Category:Unicorn]]
[[Category:Würschmidt]]
[[Category:Interpental]]
Retrieved from "https://en.xen.wiki/w/96edo"