Carlos Gamma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
m See also: link description
Hstraub (talk | contribs)
Link to German
Tags: Mobile edit Mobile web edit
 
(5 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{{interwiki
|en = Carlos_Gamma
|de = Carlos_Gamma
}}
{{Wikipedia|Gamma scale}}
{{Wikipedia|Gamma scale}}
'''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]].
'''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]].
Line 9: Line 13:
</math>
</math>


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 ([[20ed3/2]]), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.
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.
Carlos Gamma is closely related to the [[gammic]] temperament.
Line 16: Line 20:


== Intervals ==
== Intervals ==
The first steps up to two just perfect fifths should give a feeling of the granularity of this system…
The first steps up to two perfect fifths should give a feeling of the granularity of this system…
{| class="wikitable"
{| class="wikitable"
!Degrees
!Degrees
Line 22: Line 26:
|-
|-
|1
|1
|35.1
|35.098542
|-
|-
| |2
| |2
| |70.2
| |70.197085
|-
|-
| |3
| |3
| | 105.29
| | 105.295627
|-
|-
| |4
| |4
| |140.39
| |140.394169
|-
|-
| |5
| |5
| |175.49
| |175.492711
|-
|-
| |6
| |6
| |210.59
| |210.591254
|-
|-
| |7
| |7
| |245.68
| |245.689796
|-
|-
| |8
| |8
| | 280.78
| | 280.788338
|-
|-
| |9
| |9
| |315.88
| |315.886881
|-
|-
| |10
| |10
| |350.98
| |350.985423
|-
|-
| |11
| |11
| |386.075
| |386.083965
|-
|-
| |12
| |12
| |421.17
| |421.182507
|-
|-
| |13
| |13
| |456.27
| |456.281050
|-
|-
| |14
| |14
| |491.37
| |491.379592
|-
|-
| |15
| |15
| |526.47
| |526.478134
|-
|-
| |16
| |16
| |561.56
| |561.576676
|-
|-
| |17
| |17
| |596.66
| |596.675219
|-
|-
| |18
| |18
| |631.76
| |631.773761
|-
|-
| |19
| |19
| |666.86
| |666.872303
|-
|-
| |20
| |20
| |701.955
| |701.970846
|-
|-
|21
|21
| 737.05
| 737.069388
|-
|-
|22
|22
|772.15
|772.167930
|-
|-
|23
|23
|807.25
|807.266472
|-
|-
| 24
| 24
|842.35
|842.365015
|-
|-
|25
|25
|877.44
|877.463557
|-
|-
| 26
| 26
|912.54
|912.562099
|-
|-
|27
|27
| 947.64
| 947.660642
|-
|-
|28
|28
| 982.74
| 982.759184
|-
|-
|29
|29
|1017.835
|1017.857726
|-
|-
| 30
| 30
|1052.93
|1052.956268
|-
|-
| 31
| 31
|1088.03
|1088.054811
|-
|-
|32
|32
|1123.13
|1123.153353
|-
|-
|33
|33
|1158.23
|1158.251895
|-
|-
| 34
| 34
|1193.32
|1193.350438
|-
|-
|35
|35
| 1228.42
| 1228.448980
|-
|-
|36
|36
|1263.52
|1263.547522
|-
|-
| 37
| 37
|1298.62
|1298.646064
|-
|-
|38
|38
|1333.715
|1333.744607
|-
|-
|39
|39
|1368.81
|1368.843149
|-
|-
|40
|40
|1403.91
|1403.941691
|}
|}


== Music ==
== Music ==
; [[Bryan Deister]]
; [[Bryan Deister]]
* ''180db_[130] - Aphex Twin'' [https://www.youtube.com/watch?v=MCNtpptAgLE (video)]
* [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]]
; [[James Mulvale]]
* [https://youtu.be/2MseEBUhZBQ SpeedRun] - Microtonal Chiptune
* [https://youtu.be/2MseEBUhZBQ ''SpeedRun''] (2021) – 11ed5/4 tuning, microtonal chiptune


; [[Carlo Serafini]]
; [[Carlo Serafini]]
* [http://www.seraph.it/dep/det/AdagioGamma.mp3 Adagio Gamma] ([http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog entry])
* ''Adagio Gamma'' (2009) – [http://www.seraph.it/dep/det/AdagioGamma.mp3 play] | [http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog]
* [http://www.seraph.it/dep/det/Gammalan.mp3 Gammalan] ([http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog entry])
* ''Gammalan'' (2009) – [http://www.seraph.it/dep/det/Gammalan.mp3 play] | [http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog]
* [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 Moonlight Gamma Serenade] ([http://www.seraph.it/blog_files/91c9f8975a11199a130e18bbc1c436ae-31.html blog entry])
* ''Moonlight Gamma Serenade'' (2009) – [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 play] | [http://www.seraph.it/blog_files/91c9f8975a11199a130e18bbc1c436ae-31.html blog]
* [http://www.seraph.it/dep/det/BixInTheSkyWithGamma.mp3 Bix In The Sky With Gamma] ([http://www.seraph.it/blog_files/3be0c8f6ba38f8985d0d33aa529f51cd-40.html blog entry])
* ''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]
* [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 An Irishman In Guangdong] ([http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog entry])
* ''An Irishman in Guangdong'' (2009) – [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 play] | [http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog]
* [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 Chameleons In The Dark] ([http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog entry])
* ''Chameleons in the Dark'' (2009) – [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 play] | [http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog]
* [http://www.seraph.it/dep/det/GammaElegy.mp3 Gamma Elegy] ([http://www.seraph.it/blog_files/dada89373d85adfc7c01a844eb0d4693-46.html blog entry])
* ''East Of The Moon'' (2010) – [http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.html blog] | [https://www.youtube.com/watch?v=o8dIJmpt8IY YouTube]
* [http://www.seraph.it/dep/det/GloriousGuitars.mp3 Glorious Guitars] ([http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html blog entry])
* ''The Singing Alchemist'' (2010) – [http://www.seraph.it/dep/det/TheSingingAlchemist.mp3 play] | [http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.html blog]
* [http://www.seraph.it/dep/det/ChameleonsInTheSun.mp3 Chameleons In The Sun] ([http://www.seraph.it/blog_files/5b5e9af886df068be22fdfe37523eba3-48.html blog entry])
* ''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]
* [http://www.seraph.it/dep/det/GammaMonk.mp3 Gamma Monk] ([http://www.seraph.it/blog_files/c883c0c218b0e1a9767e1ae71d700e8f-49.html blog entry])
* ''Namul1'' (2010) – [http://www.seraph.it/dep/det/Namul1.mp3 play] | [http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog]
* [https://www.youtube.com/watch?v=o8dIJmpt8IY East Of The Moon (video)] ([http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.html blog entry])
* ''Namul2'' (2010) [http://www.seraph.it/dep/det/Namul2.mp3 play] | [http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.html blog]
* [http://www.seraph.it/dep/det/TheSingingAlchemist.mp3 The Singing Alchemist] ([http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.html blog entry])
* ''Hal Trumpetti'' (2010) – [http://www.seraph.it/dep/det/HalTrumpetti.mp3 play] | [http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.html blog]
* [https://www.youtube.com/watch?v=r3xMmAI_DgM&feature=player_embedded Micro Vocoder 1 (video)] ([http://www.seraph.it/blog_files/b7fcede2a50aa768948bf462836670d6-56.html blog entry])
* ''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]
* [http://www.seraph.it/dep/det/Namul1.mp3 Namul1] ([http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog entry])
* ''Gamma Raga'' (2010) – [http://www.seraph.it/dep/det/GammaRaga.mp3 play] | [http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.html blog]
* [http://www.seraph.it/dep/det/Namul2.mp3 Namul 2] ([http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.html blog entry])
* from [http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html ''The Solstice Song''] (2010)
* [http://www.seraph.it/dep/det/DeltaGammaBlues.mp3 Delta Gamma Blues] ([http://www.seraph.it/blog_files/90950fe2c088f39d304b8c4f2f1d0c3e-60.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 1"]
* [http://www.seraph.it/dep/det/HalTrumpetti.mp3 Hal Trumpetti] ([http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 3"] – 12et and Carlos gamma polysystemic
* [http://www.seraph.it/dep/det/TalkingGammaInYourSleep.mp3 Talking Gamma In Your Sleep] ([http://www.seraph.it/blog_files/39c23a1e5e5bdeb4e0fd2c574a21ca58-63.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 "Part 5"] – 12et and Carlos gamma polysystemic
* [http://www.seraph.it/dep/det/GammaRaga.mp3 Gamma Raga] ([http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.html blog entry])
* ''Conference of Flutes'' (2010) – [http://www.seraph.it/dep/det/ConferenceOfFlutes.mp3 play] | [http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.html blog]
* [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 The Solstice Song - Part 5] ([http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html blog entry])
* ''Bicycles and Bowls'' (2010) – [http://www.seraph.it/dep/det/BicyclesAndBowls.mp3 play] | [http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog]
* [http://www.seraph.it/dep/det/GammaBreezin.mp3 Gamma Breezin'] ([http://www.seraph.it/blog_files/e4692c0e583f1f86d8efdc705e5d0b0c-67.html blog entry])
* ''Elba Gamma'' (2010) – [http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog] | [https://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded YouTube]
* [http://www.seraph.it/dep/det/ConferenceOfFlutes.mp3 Conference of Flutes] ([http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.html blog entry])
* ''Double Trouble 1'' (2010) – [http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog] | [https://www.youtube.com/watch?v=iI8qoM_7KNA YouTube]
* [http://www.seraph.it/dep/det/BicyclesAndBowls.mp3 Bicycles and Bowls] ([http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog entry])
* ''Double Trouble 2'' (2010) – [http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog] | [https://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related YouTube]
* [https://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded Elba Gamma (video)] ([http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog entry])
* ''Invocation'' (2010) – [http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog] | [https://www.youtube.com/watch?v=s7pcu8U7BAU YouTube]
* [https://www.youtube.com/watch?v=iI8qoM_7KNA Double Trouble 1 (video)] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])
* ''KYMI Exercise #1'' (2010) – [http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.html blog] | [https://www.youtube.com/watch?v=cY6S-Gc7joM YouTube]
* [https://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related Double Trouble 2 (video)] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])
* ''Gammatar'' (2011) [http://www.seraph.it/blog_files/9a58ec270939f33b70f9db0d76cabfae-90.html blog] | [http://split-notes.com/spnt006.php split-notes] – 9-piece album
* [http://www.seraph.it/dep/det/AutumnalModulations.mp3 Autumnal Modulations] ([http://www.seraph.it/blog_files/15eb9cc6a8a58abab04319e332ac65d5-81.html blog entry])
** "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]
* [https://www.youtube.com/watch?v=s7pcu8U7BAU Invocation (video)] ([http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog entry])
** "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]
* [https://www.youtube.com/watch?v=cY6S-Gc7joM KYMI #1 (video)] ([http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.html blog entry])
** "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]
* [https://www.youtube.com/watch?v=QHrESeeUEGk Jingle Gamma Bells (video)] ([http://www.seraph.it/blog_files/93d1553538122dc28f0bb1f5a46fedeb-86.html blog entry])
** "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]
* [http://split-notes.com/spnt006.php Gammatar (the album)] ([http://www.seraph.it/blog_files/9a58ec270939f33b70f9db0d76cabfae-90.html blog entry])
** "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]
* [http://electro-music.com/forum/phpbb-files/outofgammabodyexperience_149.mp3 Out of Gamma Body Experience] ([http://www.seraph.it/blog_files/0ae0c7d29d4539d36e2ccc4a74f8207c-186.html blog entry])
** "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]
* [http://www.seraph.it/dep/det/GammaMeditation.mp3 Gamma Meditation] ([http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog entry])
** "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]
* [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 Sea Of Tranquility] ([http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog entry])
** "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]
* [http://www.seraph.it/dep/det/Organum1.mp3 Organum 1] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry])
** "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]
* [http://www.seraph.it/dep/det/Organum2.mp3 Organum 2] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry])
* ''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]
* [https://www.youtube.com/watch?v=8Brkwkf60qY Adagio Gamma X (video)] ([http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog entry])
* ''Gamma Meditation'' (2015) – [http://www.seraph.it/dep/det/GammaMeditation.mp3 play] | [http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog]
* [https://youtu.be/xxpk5_X7elA Far Away From Home (video)] ([http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog entry])
* ''Sea Of Tranquility'' (2015) – [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 play] | [http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog]
* [https://youtu.be/d-J9IQdwWuw Lament for Marco (video)] ([http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog entry])
* ''Organum 1'' (2015) – [http://www.seraph.it/dep/det/Organum1.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]
* [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 Forward Gamma March] ([http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.html blog entry])
* ''Organum 2'' (2015) – [http://www.seraph.it/dep/det/Organum2.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]
* [http://www.seraph.it/dep/det/J.F.Sebastian's%20Lullaby.mp3 J.F.Sebastian's Lullaby] ([http://www.seraph.it/blog_files/aa384d59ce236c5213161037463fb51e-256.html blog entry])
* ''Adagio Gamma X'' (2016) – [http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog] | [https://www.youtube.com/watch?v=8Brkwkf60qY YouTube]
* [https://youtu.be/JVclaUbeKEs Gamma Quarantine (video)] ([http://www.seraph.it/blog_files/915d7be76fa98daf44f6e754adb9dbab-286.html blog entry])
* ''Far Away From Home'' (2017) – [http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog] | [https://youtu.be/xxpk5_X7elA YouTube]
* [http://www.seraph.it/dep/det/BabylonGamma.mp3 Babylon Gamma] ([http://www.seraph.it/blog_files/d33f9a1bbeed04e78c0a5f835fed784c-306.html blog entry])
* ''Lament for Marco'' (2017) – [http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog] | [https://youtu.be/d-J9IQdwWuw YouTube]
* [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 Gamma Constant Structures] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog entry])
* ''Forward Gamma March'' (2018) – [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 play] | [http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.html blog]
* [http://www.seraph.it/dep/det/EarlyHeaven.mp3 Early Heaven] ([http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog entry])
* ''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 ==
== See also ==

Latest revision as of 09:25, 2 January 2026

English Wikipedia has an article on:

Carlos Gamma is a non-octave equal temperament invented by Wendy Carlos, with step size about 35.099 ¢. 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 ¢[1][2]. 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

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

equal steps and the fifth in 19.999549 equal steps of 35.0985422804 ¢ each. It is thus very close to the equal division of the just perfect fifth into twenty parts of 35.0978 ¢ 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

Intervals

The first steps up to two perfect fifths should give a feeling of the granularity of this system…

Degrees
1 35.098542
2 70.197085
3 105.295627
4 140.394169
5 175.492711
6 210.591254
7 245.689796
8 280.788338
9 315.886881
10 350.985423
11 386.083965
12 421.182507
13 456.281050
14 491.379592
15 526.478134
16 561.576676
17 596.675219
18 631.773761
19 666.872303
20 701.970846
21 737.069388
22 772.167930
23 807.266472
24 842.365015
25 877.463557
26 912.562099
27 947.660642
28 982.759184
29 1017.857726
30 1052.956268
31 1088.054811
32 1123.153353
33 1158.251895
34 1193.350438
35 1228.448980
36 1263.547522
37 1298.646064
38 1333.744607
39 1368.843149
40 1403.941691

Music

Bryan Deister
James Mulvale
  • SpeedRun (2021) – 11ed5/4 tuning, microtonal chiptune
Carlo Serafini
MagentaFlavouredMusic

See also

Reference

  1. Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal, vol. 11 no. 1, 1987, pp. 29-43
  2. Wendy Carlos, Three Asymmetric Divisions of the Octave.

External links