Carlos Gamma
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 \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
- 180db_[130] - Aphex Twin (2022)
- SpeedRun (2021) – 11ed5/4 tuning, microtonal chiptune
- Adagio Gamma (2009) – play | blog
- Gammalan (2009) – play | blog
- Moonlight Gamma Serenade (2009) – play | blog
- Bix in the sky with Gamma (2009) – play | blog
- An Irishman in Guangdong (2009) – play | blog
- Chameleons in the Dark (2009) – play | blog
- East Of The Moon (2010) – blog | YouTube
- The Singing Alchemist (2010) – play | blog
- Micro Vocoder 1 (2010) – blog | YouTube
- Namul1 (2010) – play | blog
- Namul2 (2010) – play | blog
- Hal Trumpetti (2010) – play | blog
- Talking Gamma In Your Sleep (2010) – play | blog
- Gamma Raga (2010) – play | blog
- from The Solstice Song (2010)
- Conference of Flutes (2010) – play | blog
- Bicycles and Bowls (2010) – play | blog
- Elba Gamma (2010) – blog | YouTube
- Double Trouble 1 (2010) – blog | YouTube
- Double Trouble 2 (2010) – blog | YouTube
- Invocation (2010) – blog | YouTube
- KYMI Exercise #1 (2010) – blog | YouTube
- Gammatar (2011) blog | split-notes – 9-piece album
- "Gammatar" – play · Gamma Elegy (2009) – play | blog
- "Glorious 61" – play · Glorious 60 (2009) – play | blog
- "Glorious Guitars" – play · Glorious Guitars (2009) – play | blog
- "Jingle Gamma Bells" – play · Jingle Gamma Bells (2010) – blog | YouTube
- "Delta Gamma Blues" – play · Delta Gamma Blues (2010) – play | blog
- "Chameleons In The Sun" – play · Chameleons In The Sun (2009) – play | blog
- "Gamma Monk" – play · Gamma Monk (2009) – play | blog
- "Autumnal Modulations" – play · Autumnal Modulations (2010) – play | blog
- "Gamma Breezin'" – play · Gamma Breezin' (2010) – play | blog
- Out of Gamma Body Experience (2014) – play | blog
- Gamma Meditation (2015) – play | blog
- Sea Of Tranquility (2015) – play | blog
- Organum 1 (2015) – play | blog
- Organum 2 (2015) – play | blog
- Adagio Gamma X (2016) – blog | YouTube
- Far Away From Home (2017) – blog | YouTube
- Lament for Marco (2017) – blog | YouTube
- Forward Gamma March (2018) – play | blog
- J.F.Sebastian's Lullaby (2018) – blog | play
- Gamma Quarantine (2020) – blog | YouTube
- Babylon Gamma (2021) – play | blog
- Gamma Constant Structures (2021) – play | blog
- Early Heaven (2023) – play | blog
See also
- Carlos' equal scales
- Carlos Harmonic
- Carlos Super Just