Carlos Gamma: Difference between revisions
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== | == Music == | ||
; [[Bryan Deister]] | |||
* [ | * ''180db_[130] - Aphex Twin'' [https://www.youtube.com/watch?v=MCNtpptAgLE (video)] | ||
* [http://www.seraph.it/dep/det/ | ; [[James Mulvale]] | ||
* [https://youtu.be/2MseEBUhZBQ SpeedRun] - Microtonal Chiptune | |||
; [[Carlo Serafini]] | |||
* [http://www.seraph.it/dep/det/AdagioGamma.mp3 Adagio Gamma] ([http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog entry]) | |||
* [http://www.seraph.it/dep/det/Gammalan.mp3 Gammalan] ([http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog entry]) | |||
* [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 Moonlight Gamma Serenade] ([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] ([http://www.seraph.it/blog_files/3be0c8f6ba38f8985d0d33aa529f51cd-40.html blog entry]) | |||
* [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 An Irishman In Guangdong] ([http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog entry]) | |||
* [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 Chameleons In The Dark] ([http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GammaElegy.mp3 Gamma Elegy] ([http://www.seraph.it/blog_files/dada89373d85adfc7c01a844eb0d4693-46.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GloriousGuitars.mp3 Glorious Guitars] ([http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html blog entry]) | |||
* [http://www.seraph.it/dep/det/ChameleonsInTheSun.mp3 Chameleons In The Sun] ([http://www.seraph.it/blog_files/5b5e9af886df068be22fdfe37523eba3-48.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GammaMonk.mp3 Gamma Monk] ([http://www.seraph.it/blog_files/c883c0c218b0e1a9767e1ae71d700e8f-49.html blog entry]) | |||
* [https://www.youtube.com/watch?v=o8dIJmpt8IY East Of The Moon (video)] ([http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.html blog entry]) | |||
* [http://www.seraph.it/dep/det/TheSingingAlchemist.mp3 The Singing Alchemist] ([http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.html blog entry]) | |||
* [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]) | |||
* [http://www.seraph.it/dep/det/Namul1.mp3 Namul1] ([http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog entry]) | |||
* [http://www.seraph.it/dep/det/Namul2.mp3 Namul 2] ([http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.html blog entry]) | |||
* [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/det/HalTrumpetti.mp3 Hal Trumpetti] ([http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.html blog entry]) | |||
* [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/det/GammaRaga.mp3 Gamma Raga] ([http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.html blog entry]) | |||
* [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 The Solstice Song - Part 5] ([http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GammaBreezin.mp3 Gamma Breezin'] ([http://www.seraph.it/blog_files/e4692c0e583f1f86d8efdc705e5d0b0c-67.html blog entry]) | |||
* [http://www.seraph.it/dep/det/ConferenceOfFlutes.mp3 Conference of Flutes] ([http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.html blog entry]) | |||
* [http://www.seraph.it/dep/det/BicyclesAndBowls.mp3 Bicycles and Bowls] ([http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog entry]) | |||
* [https://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded Elba Gamma (video)] ([http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog entry]) | |||
* [https://www.youtube.com/watch?v=iI8qoM_7KNA Double Trouble 1 (video)] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry]) | |||
* [https://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related Double Trouble 2 (video)] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry]) | |||
* [http://www.seraph.it/dep/det/AutumnalModulations.mp3 Autumnal Modulations] ([http://www.seraph.it/blog_files/15eb9cc6a8a58abab04319e332ac65d5-81.html blog entry]) | |||
* [https://www.youtube.com/watch?v=s7pcu8U7BAU Invocation (video)] ([http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog entry]) | |||
* [https://www.youtube.com/watch?v=cY6S-Gc7joM KYMI #1 (video)] ([http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.html blog entry]) | |||
* [https://www.youtube.com/watch?v=QHrESeeUEGk Jingle Gamma Bells (video)] ([http://www.seraph.it/blog_files/93d1553538122dc28f0bb1f5a46fedeb-86.html blog entry]) | |||
* [http://split-notes.com/spnt006.php Gammatar (the album)] ([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] ([http://www.seraph.it/blog_files/0ae0c7d29d4539d36e2ccc4a74f8207c-186.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GammaMeditation.mp3 Gamma Meditation] ([http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog entry]) | |||
* [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 Sea Of Tranquility] ([http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog entry]) | |||
* [http://www.seraph.it/dep/det/Organum1.mp3 Organum 1] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry]) | |||
* [http://www.seraph.it/dep/det/Organum2.mp3 Organum 2] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog entry]) | |||
* [https://www.youtube.com/watch?v=8Brkwkf60qY Adagio Gamma X (video)] ([http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog entry]) | |||
* [https://youtu.be/xxpk5_X7elA Far Away From Home (video)] ([http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog entry]) | |||
* [https://youtu.be/d-J9IQdwWuw Lament for Marco (video)] ([http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog entry]) | |||
* [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 Forward Gamma March] ([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] ([http://www.seraph.it/blog_files/aa384d59ce236c5213161037463fb51e-256.html blog entry]) | |||
* [https://youtu.be/JVclaUbeKEs Gamma Quarantine (video)] ([http://www.seraph.it/blog_files/915d7be76fa98daf44f6e754adb9dbab-286.html blog entry]) | |||
* [http://www.seraph.it/dep/det/BabylonGamma.mp3 Babylon Gamma] ([http://www.seraph.it/blog_files/d33f9a1bbeed04e78c0a5f835fed784c-306.html blog entry]) | |||
* [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 Gamma Constant Structures] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog entry]) | |||
* [http://www.seraph.it/dep/det/EarlyHeaven.mp3 Early Heaven] ([http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog entry]) | |||
== See also == | == See also == | ||
Revision as of 09:54, 17 September 2023
Carlos Gamma is a non-octave equal temperament whose step size is 35.0985422804 cents[1]. It was invented by Wendy Carlos.
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 optimized the tuning on 3/2, 5/4, and 6/5, such that the tuning divides the octave in [math]\displaystyle{ \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 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.
Carlos Gamma is closely related to the gammic temperament.
Lookalikes: 34edo, 54edt, 96ed7, 171edo
Intervals
The first steps up to two just perfect fifths should give a feeling of the granularity of this system…
| Degrees | |
|---|---|
| 1 | 35.1 |
| 2 | 70.2 |
| 3 | 105.29 |
| 4 | 140.39 |
| 5 | 175.49 |
| 6 | 210.59 |
| 7 | 245.68 |
| 8 | 280.78 |
| 9 | 315.88 |
| 10 | 350.98 |
| 11 | 386.075 |
| 12 | 421.17 |
| 13 | 456.27 |
| 14 | 491.37 |
| 15 | 526.47 |
| 16 | 561.56 |
| 17 | 596.66 |
| 18 | 631.76 |
| 19 | 666.86 |
| 20 | 701.955 |
| 21 | 737.05 |
| 22 | 772.15 |
| 23 | 807.25 |
| 24 | 842.35 |
| 25 | 877.44 |
| 26 | 912.54 |
| 27 | 947.64 |
| 28 | 982.74 |
| 29 | 1017.835 |
| 30 | 1052.93 |
| 31 | 1088.03 |
| 32 | 1123.13 |
| 33 | 1158.23 |
| 34 | 1193.32 |
| 35 | 1228.42 |
| 36 | 1263.52 |
| 37 | 1298.62 |
| 38 | 1333.715 |
| 39 | 1368.81 |
| 40 | 1403.91 |
Music
- 180db_[130] - Aphex Twin (video)
- SpeedRun - Microtonal Chiptune
- Adagio Gamma (blog entry)
- Gammalan (blog entry)
- Moonlight Gamma Serenade (blog entry)
- Bix In The Sky With Gamma (blog entry)
- An Irishman In Guangdong (blog entry)
- Chameleons In The Dark (blog entry)
- Gamma Elegy (blog entry)
- Glorious Guitars (blog entry)
- Chameleons In The Sun (blog entry)
- Gamma Monk (blog entry)
- East Of The Moon (video) (blog entry)
- The Singing Alchemist (blog entry)
- Micro Vocoder 1 (video) (blog entry)
- Namul1 (blog entry)
- Namul 2 (blog entry)
- Delta Gamma Blues (blog entry)
- Hal Trumpetti (blog entry)
- Talking Gamma In Your Sleep (blog entry)
- Gamma Raga (blog entry)
- The Solstice Song - Part 5 (blog entry)
- Gamma Breezin' (blog entry)
- Conference of Flutes (blog entry)
- Bicycles and Bowls (blog entry)
- Elba Gamma (video) (blog entry)
- Double Trouble 1 (video) (blog entry)
- Double Trouble 2 (video) (blog entry)
- Autumnal Modulations (blog entry)
- Invocation (video) (blog entry)
- KYMI #1 (video) (blog entry)
- Jingle Gamma Bells (video) (blog entry)
- Gammatar (the album) (blog entry)
- Out of Gamma Body Experience (blog entry)
- Gamma Meditation (blog entry)
- Sea Of Tranquility (blog entry)
- Organum 1 (blog entry)
- Organum 2 (blog entry)
- Adagio Gamma X (video) (blog entry)
- Far Away From Home (video) (blog entry)
- Lament for Marco (video) (blog entry)
- Forward Gamma March (blog entry)
- J.F.Sebastian's Lullaby (blog entry)
- Gamma Quarantine (video) (blog entry)
- Babylon Gamma (blog entry)
- Gamma Constant Structures (blog entry)
- Early Heaven (blog entry)
See also
Reference
- ↑ Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43