Carlos Gamma: Difference between revisions

'''Carlos Gamma''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 35.099{{cent}}. In this temperament, the interval of 20 steps approximates [[3/2]], that of 11 steps approximates [[5/4]], and that of 9 steps approximates [[6/5]].

== Theory ==

Carlos provided the tuning of 35.1{{cent}}<ref>Wendy Carlos, "Tuning: At the Crossroads", ''Computer Music Journal'', vol. 11 no. 1, 1987, pp. 29-43</ref><ref>Wendy Carlos, ''Three Asymmetric Divisions of the Octave''. </ref>. Based on her work, Dave Benson optimized the temperament for 3/2, 5/4, and 6/5, such that the tuning divides the octave in

 

\frac{20^2 + 11^2 + 9^2}{20\log_2(3/2) + 11\log_2(5/4) + 9\log_2(6/5)} ≃ 34.189454

 

equal steps and the fifth in 19.999549 equal steps of 35.0985422804{{cent}} each. It is thus very close to the [[EDF|equal division of the just perfect fifth]] into twenty parts of 35.0978{{cent}} each ([[20edf]]), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.

 

Carlos Gamma is closely related to the [[gammic]] temperament.

 

Lookalikes: [[34edo]], [[54edt]], [[96ed7]], [[171edo]]

 

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|35.098542

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| |561.576676

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| |666.872303

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|21

| 737.069388

|772.167930

|807.266472

|842.365015

|877.463557

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|912.562099

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| 947.660642

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|1017.857726

|1052.956268

|1088.054811

|1123.153353

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|33

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|1263.547522

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|1333.744607

|39

 

* [https://www.youtube.com/watch?v=MCNtpptAgLE ''180db_{{lbrack}}130{{rbrack}} - Aphex Twin''] (2022)

* [https://www.youtube.com/shorts/f-d_RMhgLOE ''Microtonal Improvisation in Carlos Gamma''] (2023)

 

; [[James Mulvale]]

* [https://youtu.be/2MseEBUhZBQ ''SpeedRun''] (2021) – 11ed5/4 tuning, microtonal chiptune

 

; [[Carlo Serafini]]

* ''Adagio Gamma'' (2009) – [http://www.seraph.it/dep/det/AdagioGamma.mp3 play] | [http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog]

* ''Gammalan'' (2009) – [http://www.seraph.it/dep/det/Gammalan.mp3 play] | [http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog]

* ''Moonlight Gamma Serenade'' (2009) – [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 play] | [http://www.seraph.it/blog_files/91c9f8975a11199a130e18bbc1c436ae-31.html blog]

* ''Bix in the sky with Gamma'' (2009) – [http://www.seraph.it/dep/det/BixInTheSkyWithGamma.mp3 play] | [http://www.seraph.it/blog_files/3be0c8f6ba38f8985d0d33aa529f51cd-40.html blog]

* ''An Irishman in Guangdong'' (2009) – [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 play] | [http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog]

* ''Chameleons in the Dark'' (2009) – [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 play] | [http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog]

* ''East Of The Moon'' (2010) – [http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.html blog] | [https://www.youtube.com/watch?v=o8dIJmpt8IY YouTube]

* ''The Singing Alchemist'' (2010) – [http://www.seraph.it/dep/det/TheSingingAlchemist.mp3 play] | [http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.html blog]

* ''Micro Vocoder 1'' (2010) – [http://www.seraph.it/blog_files/b7fcede2a50aa768948bf462836670d6-56.html blog] | [https://www.youtube.com/watch?v=r3xMmAI_DgM&feature=player_embedded YouTube]

* ''Namul1'' (2010) – [http://www.seraph.it/dep/det/Namul1.mp3 play] | [http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog]

* ''Namul2'' (2010) – [http://www.seraph.it/dep/det/Namul2.mp3 play] | [http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.html blog]

* ''Hal Trumpetti'' (2010) – [http://www.seraph.it/dep/det/HalTrumpetti.mp3 play] | [http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.html blog]

* ''Talking Gamma In Your Sleep'' (2010) – [http://www.seraph.it/dep/det/TalkingGammaInYourSleep.mp3 play] | [http://www.seraph.it/blog_files/39c23a1e5e5bdeb4e0fd2c574a21ca58-63.html blog]

* ''Gamma Raga'' (2010) – [http://www.seraph.it/dep/det/GammaRaga.mp3 play] | [http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.html blog]

* from [http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html ''The Solstice Song''] (2010)

** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 1"]

** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 3"] – 12et and Carlos gamma polysystemic

** [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 "Part 5"] – 12et and Carlos gamma polysystemic

* ''Conference of Flutes'' (2010) – [http://www.seraph.it/dep/det/ConferenceOfFlutes.mp3 play] | [http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.html blog]

* ''Bicycles and Bowls'' (2010) – [http://www.seraph.it/dep/det/BicyclesAndBowls.mp3 play] | [http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog]

* ''Elba Gamma'' (2010) – [http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog] | [https://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded YouTube]

* ''Double Trouble 1'' (2010) – [http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog] | [https://www.youtube.com/watch?v=iI8qoM_7KNA YouTube]

* ''Double Trouble 2'' (2010) – [http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog] | [https://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related YouTube]

* ''Invocation'' (2010) – [http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog] | [https://www.youtube.com/watch?v=s7pcu8U7BAU YouTube]

* ''KYMI Exercise #1'' (2010) – [http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.html blog] | [https://www.youtube.com/watch?v=cY6S-Gc7joM YouTube]

* ''Gammatar'' (2011) [http://www.seraph.it/blog_files/9a58ec270939f33b70f9db0d76cabfae-90.html blog] | [http://split-notes.com/spnt006.php split-notes] – 9-piece album

** "Gammatar" – [http://www.seraph.it/dep/gtr/01Gammatar.mp3 play] · ''Gamma Elegy'' (2009) – [http://www.seraph.it/dep/det/GammaElegy.mp3 play] | [http://www.seraph.it/blog_files/dada89373d85adfc7c01a844eb0d4693-46.html blog]

** "Glorious 61" – [http://www.seraph.it/dep/gtr/02Glorious61.mp3 play] · ''Glorious 60'' (2009) – [http://www.seraph.it/dep/det/Glorious60.mp3 play] | [http://www.seraph.it/blog_files/e70b1f26417497ff77c1effb949bd604-50.html blog]

** "Glorious Guitars" – [http://www.seraph.it/dep/gtr/03GloriousGuitars.mp3 play] · ''Glorious Guitars'' (2009) – [http://www.seraph.it/dep/det/GloriousGuitars.mp3 play] | [http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html blog]

** "Jingle Gamma Bells" – [http://www.seraph.it/dep/gtr/04JingleGammaBells.mp3 play] · ''Jingle Gamma Bells'' (2010) – [http://www.seraph.it/blog_files/93d1553538122dc28f0bb1f5a46fedeb-86.html blog] | [https://www.youtube.com/watch?v=QHrESeeUEGk YouTube]

** "Delta Gamma Blues" – [http://www.seraph.it/dep/gtr/05DeltaGammaBlues.mp3 play] · ''Delta Gamma Blues'' (2010) – [http://www.seraph.it/dep/det/DeltaGammaBlues.mp3 play] | [http://www.seraph.it/blog_files/90950fe2c088f39d304b8c4f2f1d0c3e-60.html blog]

** "Chameleons In The Sun" – [http://www.seraph.it/dep/gtr/06ChameleonsInTheSun.mp3 play] · ''Chameleons In The Sun'' (2009) – [http://www.seraph.it/dep/det/ChameleonsInTheSun.mp3 play] | [http://www.seraph.it/blog_files/5b5e9af886df068be22fdfe37523eba3-48.html blog]

** "Gamma Monk" – [http://www.seraph.it/dep/gtr/07GammaMonk.mp3 play] · ''Gamma Monk'' (2009) – [http://www.seraph.it/dep/det/GammaMonk.mp3 play] | [http://www.seraph.it/blog_files/c883c0c218b0e1a9767e1ae71d700e8f-49.html blog]

** "Autumnal Modulations" – [http://www.seraph.it/dep/gtr/08AutumnalModulations.mp3 play] · ''Autumnal Modulations'' (2010) – [http://www.seraph.it/dep/det/AutumnalModulations.mp3 play] | [http://www.seraph.it/blog_files/15eb9cc6a8a58abab04319e332ac65d5-81.html blog]

** "Gamma Breezin'" – [http://www.seraph.it/dep/gtr/09GammaBreezin.mp3 play] · ''Gamma Breezin''' (2010) – [http://www.seraph.it/dep/det/GammaBreezin.mp3 play] | [http://www.seraph.it/blog_files/e4692c0e583f1f86d8efdc705e5d0b0c-67.html blog]

* ''Out of Gamma Body Experience'' (2014) – [http://electro-music.com/forum/phpbb-files/outofgammabodyexperience_149.mp3 play] | [http://www.seraph.it/blog_files/0ae0c7d29d4539d36e2ccc4a74f8207c-186.html blog]

* ''Gamma Meditation'' (2015) – [http://www.seraph.it/dep/det/GammaMeditation.mp3 play] | [http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog]

* ''Sea Of Tranquility'' (2015) – [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 play] | [http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog]

* ''Organum 1'' (2015) – [http://www.seraph.it/dep/det/Organum1.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]

* ''Organum 2'' (2015) – [http://www.seraph.it/dep/det/Organum2.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]

* ''Adagio Gamma X'' (2016) – [http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog] | [https://www.youtube.com/watch?v=8Brkwkf60qY YouTube]

* ''Far Away From Home'' (2017) – [http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog] | [https://youtu.be/xxpk5_X7elA YouTube]

* ''Lament for Marco'' (2017) – [http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog] | [https://youtu.be/d-J9IQdwWuw YouTube]

* ''Forward Gamma March'' (2018) – [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 play] | [http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.html blog]

* ''J.F.Sebastian's Lullaby'' (2018) – [http://www.seraph.it/blog_files/aa384d59ce236c5213161037463fb51e-256.html blog] | [http://www.seraph.it/dep/det/J.F.Sebastian's%20Lullaby.mp3 play]

* ''Gamma Quarantine'' (2020) – [http://www.seraph.it/blog_files/915d7be76fa98daf44f6e754adb9dbab-286.html blog] | [https://youtu.be/JVclaUbeKEs YouTube]

* ''Babylon Gamma'' (2021) – [http://www.seraph.it/dep/det/BabylonGamma.mp3 play] | [http://www.seraph.it/blog_files/d33f9a1bbeed04e78c0a5f835fed784c-306.html blog]

* ''Gamma Constant Structures'' (2021) – [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 play] | [http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog]

* ''Early Heaven'' (2023) – [http://www.seraph.it/dep/det/EarlyHeaven.mp3 play] | [http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog]

 

; [[MagentaFlavouredMusic]]

* [https://youtu.be/1HkykxbKBHE ''Carlama'']

 

== See also ==

 

<references/>

 

== External links ==

* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article | ''Three Asymmetric Divisions of the Octave'']

 

[[Category:Equal-step tuning]]