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{ \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 (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 (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