Carlos Gamma: Difference between revisions
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{{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]]. | ||
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== Intervals == | == Intervals == | ||
The first steps up to two | 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. | |35.098542 | ||
|- | |- | ||
| |2 | | |2 | ||
| |70. | | |70.197085 | ||
|- | |- | ||
| |3 | | |3 | ||
| | 105. | | | 105.295627 | ||
|- | |- | ||
| |4 | | |4 | ||
| |140. | | |140.394169 | ||
|- | |- | ||
| |5 | | |5 | ||
| |175. | | |175.492711 | ||
|- | |- | ||
| |6 | | |6 | ||
| |210. | | |210.591254 | ||
|- | |- | ||
| |7 | | |7 | ||
| |245. | | |245.689796 | ||
|- | |- | ||
| |8 | | |8 | ||
| | 280. | | | 280.788338 | ||
|- | |- | ||
| |9 | | |9 | ||
| |315. | | |315.886881 | ||
|- | |- | ||
| |10 | | |10 | ||
| |350. | | |350.985423 | ||
|- | |- | ||
| |11 | | |11 | ||
| |386. | | |386.083965 | ||
|- | |- | ||
| |12 | | |12 | ||
| |421. | | |421.182507 | ||
|- | |- | ||
| |13 | | |13 | ||
| |456. | | |456.281050 | ||
|- | |- | ||
| |14 | | |14 | ||
| |491. | | |491.379592 | ||
|- | |- | ||
| |15 | | |15 | ||
| |526. | | |526.478134 | ||
|- | |- | ||
| |16 | | |16 | ||
| |561. | | |561.576676 | ||
|- | |- | ||
| |17 | | |17 | ||
| |596. | | |596.675219 | ||
|- | |- | ||
| |18 | | |18 | ||
| |631. | | |631.773761 | ||
|- | |- | ||
| |19 | | |19 | ||
| |666. | | |666.872303 | ||
|- | |- | ||
| |20 | | |20 | ||
| |701. | | |701.970846 | ||
|- | |- | ||
|21 | |21 | ||
| 737. | | 737.069388 | ||
|- | |- | ||
|22 | |22 | ||
|772. | |772.167930 | ||
|- | |- | ||
|23 | |23 | ||
|807. | |807.266472 | ||
|- | |- | ||
| 24 | | 24 | ||
|842. | |842.365015 | ||
|- | |- | ||
|25 | |25 | ||
|877. | |877.463557 | ||
|- | |- | ||
| 26 | | 26 | ||
|912. | |912.562099 | ||
|- | |- | ||
|27 | |27 | ||
| 947. | | 947.660642 | ||
|- | |- | ||
|28 | |28 | ||
| 982. | | 982.759184 | ||
|- | |- | ||
|29 | |29 | ||
|1017. | |1017.857726 | ||
|- | |- | ||
| 30 | | 30 | ||
|1052. | |1052.956268 | ||
|- | |- | ||
| 31 | | 31 | ||
|1088. | |1088.054811 | ||
|- | |- | ||
|32 | |32 | ||
|1123. | |1123.153353 | ||
|- | |- | ||
|33 | |33 | ||
|1158. | |1158.251895 | ||
|- | |- | ||
| 34 | | 34 | ||
|1193. | |1193.350438 | ||
|- | |- | ||
|35 | |35 | ||
| 1228. | | 1228.448980 | ||
|- | |- | ||
|36 | |36 | ||
|1263. | |1263.547522 | ||
|- | |- | ||
| 37 | | 37 | ||
|1298. | |1298.646064 | ||
|- | |- | ||
|38 | |38 | ||
|1333. | |1333.744607 | ||
|- | |- | ||
|39 | |39 | ||
|1368. | |1368.843149 | ||
|- | |- | ||
|40 | |40 | ||
|1403. | |1403.941691 | ||
|} | |} | ||
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; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/watch?v=MCNtpptAgLE ''180db_{{lbrack}}130{{rbrack}} - Aphex Twin''] (2022) | * [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]] | ||