Carlos Gamma: Difference between revisions

'''Carlos Gamma''' is a non-octave [[equal temperament]] whose step size is 35.0985422804 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>.

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]]. [[Wendy Carlos]] optimized the tuning on 3/2, 5/4, and 6/5, such that the tuning divides the octave in <math>\frac{20^2 + 11^2 + 9^2}{20\log_2(3/2) + 11\log_2(5/4) + 9\log_2(6/5)}</math> ≃ 34.189454 equal steps and the fifth in 19.999549 equal steps of 35.098542 cents each. It is thus very close to the [[EDF|equal division of the just perfect fifth]] into twenty parts of 35.0978 cents each (20ed3/2), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.  

Gamma is a non-octave scale created by Wendy Carlos. It is closely related to the [[gammic]] temperament.

== Compositions ==

* [http://www.seraph.it/dep/det/AdagioGamma.mp3 Adagio Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog entry])

* [http://www.seraph.it/dep/det/Gammalan.mp3 Gammalan] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog entry])

* [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 Moonlight Gamma Serenade] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/91c9f8975a11199a130e18bbc1c436ae-31.html blog entry])

* [http://www.seraph.it/dep/det/BixInTheSkyWithGamma.mp3 Bix In The Sky With Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3be0c8f6ba38f8985d0d33aa529f51cd-40.html blog entry])

* [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 An Irishman In Guangdong] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog entry])

* [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 Chameleons In The Dark] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog entry])

* [http://www.seraph.it/dep/det/GammaElegy.mp3 Gamma Elegy] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dada89373d85adfc7c01a844eb0d4693-46.html blog entry])

* [http://www.seraph.it/dep/det/GloriousGuitars.mp3 Glorious Guitars] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html blog entry])

* [http://www.seraph.it/dep/det/ChameleonsInTheSun.mp3 Chameleons In The Sun] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/5b5e9af886df068be22fdfe37523eba3-48.html blog entry])

* [http://www.seraph.it/dep/det/GammaMonk.mp3 Gamma Monk] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/c883c0c218b0e1a9767e1ae71d700e8f-49.html blog entry])

* [http://www.youtube.com/watch?v=o8dIJmpt8IY East Of The Moon (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.html blog entry])

* [http://www.seraph.it/dep/det/TheSingingAlchemist.mp3 The Singing Alchemist] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.html blog entry])

* [http://www.youtube.com/watch?v=r3xMmAI_DgM&feature=player_embedded Micro Vocoder 1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/b7fcede2a50aa768948bf462836670d6-56.html blog entry])

* [http://www.seraph.it/dep/det/Namul1.mp3 Namul1] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog entry])

* [http://www.seraph.it/dep/det/Namul2.mp3 Namul 2] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.html blog entry])

* [http://www.seraph.it/dep/det/DeltaGammaBlues.mp3 Delta Gamma Blues] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/90950fe2c088f39d304b8c4f2f1d0c3e-60.html blog entry])

* [http://www.seraph.it/dep/det/HalTrumpetti.mp3 Hal Trumpetti] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.html blog entry])

* [http://www.seraph.it/dep/det/TalkingGammaInYourSleep.mp3 Talking Gamma In Your Sleep] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/39c23a1e5e5bdeb4e0fd2c574a21ca58-63.html blog entry])

* [http://www.seraph.it/dep/det/GammaRaga.mp3 Gamma Raga] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.html blog entry])

* [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 The Solstice Song - Part 5] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html blog entry])

* [http://www.seraph.it/dep/det/GammaBreezin.mp3 Gamma Breezin'] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e4692c0e583f1f86d8efdc705e5d0b0c-67.html blog entry])

* [http://www.seraph.it/dep/det/ConferenceOfFlutes.mp3 Conference of Flutes] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.html blog entry])

* [http://www.seraph.it/dep/det/BicyclesAndBowls.mp3 Bicycles and Bowls] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog entry])

* [http://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded Elba Gamma (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog entry])

* [http://www.youtube.com/watch?v=iI8qoM_7KNA Double Trouble 1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])

* [http://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related Double Trouble 2 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])

* [http://www.seraph.it/dep/det/AutumnalModulations.mp3 Autumnal Modulations] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/15eb9cc6a8a58abab04319e332ac65d5-81.html blog entry])

* [http://www.youtube.com/watch?v=s7pcu8U7BAU Invocation (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog entry])

* [http://www.youtube.com/watch?v=cY6S-Gc7joM KYMI #1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.html blog entry])

* [http://www.youtube.com/watch?v=QHrESeeUEGk Jingle Gamma Bells (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/93d1553538122dc28f0bb1f5a46fedeb-86.html blog entry])

* [http://split-notes.com/spnt006.php Gammatar (the album)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/9a58ec270939f33b70f9db0d76cabfae-90.html blog entry])

* [http://electro-music.com/forum/phpbb-files/outofgammabodyexperience_149.mp3 Out of Gamma Body Experience] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/0ae0c7d29d4539d36e2ccc4a74f8207c-186.html blog entry])

* [http://www.seraph.it/dep/det/GammaMeditation.mp3 Gamma Meditation] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog entry])

* [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 Sea Of Tranquility] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog entry])

* [http://www.seraph.it/dep/det/Organum1.mp3 Organum 1] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry])

* [http://www.seraph.it/dep/det/Organum2.mp3 Organum 2] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry])

* [https://www.youtube.com/watch?v=8Brkwkf60qY Adagio Gamma X (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog entry])

* [https://youtu.be/xxpk5_X7elA Far Away From Home (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog entry])

* [https://youtu.be/d-J9IQdwWuw Lament for Marco (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog entry])

* [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 Forward Gamma March] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.html blog entry])

* [http://www.seraph.it/dep/det/J.F.Sebastian's%20Lullaby.mp3 J.F.Sebastian's Lullaby] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/aa384d59ce236c5213161037463fb51e-256.html blog entry])

* [https://youtu.be/JVclaUbeKEs Gamma Quarantine (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/915d7be76fa98daf44f6e754adb9dbab-286.html blog entry])

* [http://www.seraph.it/dep/det/BabylonGamma.mp3 Babylon Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/d33f9a1bbeed04e78c0a5f835fed784c-306.html blog entry])

* [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 Gamma Constant Structures] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog entry])

{{Todo| cleanup | expand }}