Carlos Gamma: Difference between revisions

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{{interwiki
|en = Carlos_Gamma
|de = Carlos_Gamma
}}
{{Wikipedia|Gamma scale}}
{{Wikipedia|Gamma scale}}
'''Carlos Gamma''' is a non-octave [[equal temperament]] whose step size is 35.0985422804 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>. It was invented by [[Wendy Carlos]].
'''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]].


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{{cent}}<ref>Wendy Carlos, "Tuning: At the Crossroads", ''Computer Music Journal'', vol. 11 no. 1, 1987, pp. 29-43</ref><ref>Wendy Carlos, ''Three Asymmetric Divisions of the Octave''. </ref>. 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>


== Theory ==
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 optimized the tuning on 3/2, 5/4, and 6/5, such that the tuning divides the octave in <math>\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 [[EDF|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.
Carlos Gamma is closely related to the [[gammic]] temperament.
Line 12: 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"
! rowspan="2" |Degrees
!Degrees
! rowspan="2" |''ed233\420-5¢''
!
! rowspan="2" |ed31\54
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed696¢ (~69ed4!)
! rowspan="2" |ed32\55
! rowspan="2" |ed700¢=''r¢''
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+5¢''
|-
!(~ed17\29)
!(~ed10\17)
|-
|-
| | 1
|1
|''33.04-33.29''
|35.098542
|34.44
|34.74
|34.8
|34.91
|''35''
| | 35.1
|35.18
|35.29
|35.4
|35.45
|35.79
|''37-37.25''
|-
|-
| | 2
| |2
|''66.07-66.''57
| |70.197085
|68.89
|69.48
|69.6
|69.82
|''70''
| | 70.2
|70.36
|70.59
|70.8
|70.91
|71.58
|''74-74.5''
|-
|-
| | 3
| |3
|''99.11-99.86''
| | 105.295627
|103.33
|104.22
|104.4
|104.73
|''105''
| | 105.29
|105.545
|105.88
|106.2
|106.36
|107.37
|''111-111.75''
|-
|-
| | 4
| |4
|''132.14-133.14''
| |140.394169
|137.78
|138.96
|139.2
|139.64
|''140''
| | 140.39
|140.72
|141.17
|141.6
|141.81
|143.16
|''148-149''
|-
|-
| | 5
| |5
|''165.18-166.43''
| |175.492711
|172.22
|173.7
|174
|174.545
|''175''
| | 175.49
|175.91
|176.46
|177
|177.27
|178.95
|''185-186.25''
|-
|-
| | 6
| |6
|''198.21-199.71''
| |210.591254
|206.67
|208.445
|208.8
|209.455
|''210''
| | 210.59
|211.09
|211.76
|212.4
|212.72
|214.74
|''222-223.5''
|-
|-
| | 7
| |7
|''231.25-233''
| |245.689796
|241.11
|243.19
|243.6
|244.36
|''245''
| | 245.68
|246.27
|247.05
|247.8
|248.17
|250.53
|''259-260.75''
|-
|-
| | 8
| |8
|''264.29-266.29''
| | 280.788338
|275.56
|277.93
|278.4
|279.27
|''280''
| | 280.78
|281.45
|282.34
|283.2
|283.63
|286.32
|''296-298''
|-
|-
| | 9
| |9
|''297.32-299.57''
| |315.886881
|310
|312.67
|313.2
|314.18
|''315''
| | 315.88
|316.64
|317.635
|318.6
|319.08
|322.105
|''333-335.25''
|-
|-
| | 10
| |10
|''330.35-332.86''
| |350.985423
|344.44
|347.41
|348
|349.09
|''350''
| | 350.98
|351.82
|352.93
|354
|354.53
|357.895
|''370-372.5''
|-
|-
| | 11
| |11
|''363.39-366.14''
| |386.083965
|378.89
|382.15
|382.8
|384
|''385''
| | 386.075
|387
|388.22
|389.4
|389.99
|393.68
|''407-409.75''
|-
|-
| | 12
| |12
|''396.43-399.43''
| |421.182507
|413.33
|416.89
|417.6
|418.91
|''420''
| | 421.17
|422.18
|423.51
|424.8
|425.44
|429.47
|''444-447''
|-
|-
| | 13
| |13
|''429.46-432.71''
| |456.281050
|447.78
|451.63
|452.4
|453.82
|''455''
| | 456.27
|457.36
|458.81
|460.2
|460.89
|465.26
|''481-484.25''
|-
|-
| | 14
| |14
|''462.5-466''
| |491.379592
|482.22
|486.37
|487.2
|488.73
|''490''
| |491.37
|492.545
|494.1
|495.6
|496.345
|501.05
|''518-521.5''
|-
|-
| | 15
| |15
|''495.54-499.29''
| |526.478134
|516.67
|521.11
|522
|523.64
|''525''
| | 526.47
|527.73
|529.39
|531
|531.8
|536.84
|''555-558.75''
|-
|-
| | 16
| |16
|''528.57-532.57''
| |561.576676
|551.11
|555.85
|556.8
|558.545
|''560''
| | 561.56
|562.91
|564.68
|566.4
|567.25
|572.63
|''592-596''
|-
|-
| | 17
| |17
|''561.61-565.86''
| |596.675219
|585.56
|590.59
|591.6
|593.455
|''595''
| | 596.66
|598.09
|599.98
|601.8
|602.705
|608.42
|''629-633.25''
|-
|-
| | 18
| |18
|''594.64-599.14''
| |631.773761
|620
|625.33
|626.4
|628.36
|''630''
| | 631.76
|633.27
|635.27
|637.2
|638.16
|644.21
|''666-670.5''
|-
|-
| | 19
| |19
|''627.68-632.43''
| |666.872303
|654.44
|660.075
|661.2
|663.27
|''665''
| | 666.86
|668.45
|670.56
|672.6
|673.61
|680
|''703-707.75''
|-
|-
| | 20
| |20
|''660.71-665.71''
| |701.970846
|688.89
|694.82
|696
|698.18
|''700''
| | 701.955
|703.64
|705.86
|708
|709.065
|715.79
|''740-745''
|-
|-
|21
|21
|''693.75-699''
| 737.069388
|723.33
|729.56
|732.8
|733.09
|''735''
|737.05
|738.82
|741.15
|743.4
|744.52
|751.58
|''777-782.25''
|-
|-
|22
|22
|''726.79-732.29''
|772.167930
|757.78
|764.3
|765.6
|768
|''770''
|772.15
|774
|776.44
|778.8
|779.97
|787.37
|''814-819.5''
|-
|-
|23
|23
|''759.82-765.57''
|807.266472
|792.22
|799.04
|800.4
|802.91
|''805''
|807.25
|809.18
|811.73
|813.2
|815.425
|823.16
|''851-856.75''
|-
|-
|24
| 24
|''792.86-798.86''
|842.365015
|826.67
|833.78
|835.2
|837.82
|''840''
|842.35
|844.36
|847.03
|848.6
|850.88
|858.95
|''888-894''
|-
|-
|25
|25
|''825.89-832.14''
|877.463557
|861.11
|868.52
|870
|872.73
|''875''
|877.44
|879.545
|882.32
|885
|886.33
|894.74
|''925-931.25''
|-
|-
|26
| 26
|''858.93-865.43''
|912.562099
|895.6
|903.26
|904.8
|907.64
|''910''
|912.54
|914.73
|917.61
|920.4
|921.78
|930.53
|''962-968.5''
|-
|-
|27
|27
|''891.96-898.71''
| 947.660642
|930
|938
|939.6
|942.545
|''945''
|947.64
|949.91
|952.905
|955.8
|957.24
|966.32
|''999-1005.75''
|-
|-
|28
|28
|''925-932''
| 982.759184
|964.4
|972.74
|974.4
|977.455
|''980''
|982.74
|985.09
|988.2
|991.2
|992.69
|1002.105
|''1036-1043''
|-
|-
|29
|29
|''958.04-965.29''
|1017.857726
|998.89
|1007.48
|1009.2
|1012.36
|''1015''
|1017.835
|1020.27
|1023.49
|1026.6
|1028.14
|1039.895
|''1073-1081.25''
|-
|-
|30
| 30
|''991.07-998.''57
|1052.956268
|1033.33
|1042.22
|1044
|1047.27
|''1050''
|1052.93
|1055.45
|1058.78
|1062
|1063.6
|1073.68
|''1110-1117.5''
|-
|-
|31
| 31
|''1024.11-1031.86''
|1088.054811
|1067.78
|1076.965
|1078.8
|1082.18
|''1085''
|1088.03
|1090.64
|1094.08
|1097.4
|1099.05
|1109.47
|''1147-1154.75''
|-
|-
|32
|32
|''1057.14-1065.14''
|1123.153353
|1102.22
|1111.705
|1113.6
|1117.09
|''1120''
|1123.13
|1125.82
|1129.37
|1132.8
|1134.5
|1145.26
|''1184-1192''
|-
|-
|33
|33
|''1090.18-1098.43''
|1158.251895
|1136.67
|1146.45
|1148.4
|1152
|''1155''
|1158.23
|1161
|1164.66
|1168.2
|1169.96
|1181.05
|''1221-1229.25''
|-
|-
|34
| 34
|''1123.21-1131.71''
|1193.350438
|1171.1
|1181.19
|1183.2
|1186.91
|''1190''
|1193.32
|1196.18
|1199.95
|1203.6
|1205.41
|1216.84
|''1258-1266.5''
|-
|-
|35
|35
|''1156.25-1165''
| 1228.448980
|1205.56
|1215.93
|1218
|1221.82
|''1225''
|1228.42
|1231.36
|1235.25
|1239
|1240.86
|1252.63
|''1295-1303.75''
|-
|-
|36
|36
|''1189.29-1198.29''
|1263.547522
|1240
|1250.67
|1252.8
|1256.73
|''1260''
|1263.52
|1266.545
|1270.54
|1274.4
|1276.32
|1288.42
|''1332-1341''
|-
|-
|37
| 37
|''1222.32-1231.57''
|1298.646064
|1274.44
|1285.41
|1287.6
|1291.64
|''1295''
|1298.62
|1301.73
|1305.83
|1309.8
|1311.77
|1324.42
|''1369-1377.25''
|-
|-
|38
|38
|''1255.36-1263.''86
|1333.744607
|1308.89
|1320.15
|1322.4
|1326.545
|''1330''
|1333.715
|1336.91
|1341.125
|1345.2
|1347.22
|1360
|''1406-1415.5''
|-
|-
|39
|39
|''1288.39-1298.14''
|1368.843149
|1343.33
|1354.89
|1357.2
|1361.455
|''1365''
|1368.81
|1372.09
|1376.42
|1380.6
|1382.68
|1395.79
|''1443-1452.75''
|-
|-
|40
|40
|''1321.43-1331.43''
|1403.941691
|1377.78
|1389.6
|1392
|1396.36
|''1400''
|1403.91
|1407.27
|1411.71
|1416
|1418.13
|1431.6
|''1480-1490''
|}
|}


== Compositions ==
== Music ==
* [http://www.seraph.it/dep/det/AdagioGamma.mp3 Adagio Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/140006ae42b0d87bb0903cdd857fa62c-24.html blog entry])
; [[Bryan Deister]]
* [http://www.seraph.it/dep/det/Gammalan.mp3 Gammalan] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ef1a7e2088ff6ad32fc50cbd4b2a601d-25.html blog entry])
* [https://www.youtube.com/watch?v=MCNtpptAgLE ''180db_{{lbrack}}130{{rbrack}} - Aphex Twin''] (2022)
* [http://www.seraph.it/dep/det/moonlightgammaserenade.mp3 Moonlight Gamma Serenade] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/91c9f8975a11199a130e18bbc1c436ae-31.html blog entry])
* [https://www.youtube.com/shorts/f-d_RMhgLOE ''Microtonal Improvisation in Carlos Gamma''] (2023)
* [http://www.seraph.it/dep/det/BixInTheSkyWithGamma.mp3 Bix In The Sky With Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3be0c8f6ba38f8985d0d33aa529f51cd-40.html blog entry])
 
* [http://www.seraph.it/dep/det/AnIrishmanInGuangdong.mp3 An Irishman In Guangdong] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/eea975e524f69f869408c8fccc3ff274-41.html blog entry])
; [[James Mulvale]]
* [http://www.seraph.it/dep/det/ChameleonsInTheDark.mp3 Chameleons In The Dark] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/f743270786dc14253dae1d90fd827c5a-43.html blog entry])
* [https://youtu.be/2MseEBUhZBQ ''SpeedRun''] (2021) – 11ed5/4 tuning, microtonal chiptune
* [http://www.seraph.it/dep/det/GammaElegy.mp3 Gamma Elegy] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dada89373d85adfc7c01a844eb0d4693-46.html blog entry])
 
* [http://www.seraph.it/dep/det/GloriousGuitars.mp3 Glorious Guitars] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html blog entry])
; [[Carlo Serafini]]
* [http://www.seraph.it/dep/det/ChameleonsInTheSun.mp3 Chameleons In The Sun] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/5b5e9af886df068be22fdfe37523eba3-48.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/GammaMonk.mp3 Gamma Monk] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/c883c0c218b0e1a9767e1ae71d700e8f-49.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.youtube.com/watch?v=o8dIJmpt8IY East Of The Moon (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/5dfe4aeb16f360dd16dd93bada02c021-53.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/TheSingingAlchemist.mp3 The Singing Alchemist] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dc22d50ef807215177743a8c0adb6e8b-55.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.youtube.com/watch?v=r3xMmAI_DgM&feature=player_embedded Micro Vocoder 1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/b7fcede2a50aa768948bf462836670d6-56.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/Namul1.mp3 Namul1] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.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/Namul2.mp3 Namul 2] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/21e1fd914125f5840789ab05eda26643-59.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/DeltaGammaBlues.mp3 Delta Gamma Blues] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/90950fe2c088f39d304b8c4f2f1d0c3e-60.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/HalTrumpetti.mp3 Hal Trumpetti] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/7dc6017950283556600a376bec4dd354-62.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/TalkingGammaInYourSleep.mp3 Talking Gamma In Your Sleep] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/39c23a1e5e5bdeb4e0fd2c574a21ca58-63.html blog entry])
* ''Namul1'' (2010) – [http://www.seraph.it/dep/det/Namul1.mp3 play] | [http://www.seraph.it/blog_files/a71f095266803b874c26f7b13c3bd20b-58.html blog]
* [http://www.seraph.it/dep/det/GammaRaga.mp3 Gamma Raga] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/cc6f0d7f9c85257c843f6a5990a8beff-64.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/sol/SolsticeSongP5.mp3 The Solstice Song - Part 5] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.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]
* [http://www.seraph.it/dep/det/GammaBreezin.mp3 Gamma Breezin'] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e4692c0e583f1f86d8efdc705e5d0b0c-67.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/ConferenceOfFlutes.mp3 Conference of Flutes] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e9b86c48d498ced631139e0af8f20a5a-69.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/BicyclesAndBowls.mp3 Bicycles and Bowls] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/931ae9c9f594da7bcead8d69300349f1-73.html blog entry])
* from [http://www.seraph.it/blog_files/b7d1e65adf0e9d93eeed220bea2d4479-66.html ''The Solstice Song''] (2010)
* [http://www.youtube.com/watch?v=uEQTzRVZWkE&feature=player_embedded Elba Gamma (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ce09fb08fffa7470ebb4200702129edf-75.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 1"]
* [http://www.youtube.com/watch?v=iI8qoM_7KNA Double Trouble 1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP1.mp3 "Part 3"] – 12et and Carlos gamma polysystemic
* [http://www.youtube.com/watch?v=dNNJ1hoQkhw&feature=related Double Trouble 2 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/10c767fd3bd1cadf413da8be511c10fa-77.html blog entry])
** [http://www.seraph.it/dep/sol/SolsticeSongP5.mp3 "Part 5"] – 12et and Carlos gamma polysystemic
* [http://www.seraph.it/dep/det/AutumnalModulations.mp3 Autumnal Modulations] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/15eb9cc6a8a58abab04319e332ac65d5-81.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.youtube.com/watch?v=s7pcu8U7BAU Invocation (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.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.youtube.com/watch?v=cY6S-Gc7joM KYMI #1 (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/9487bd24fa4b8670cb306e57069cf328-84.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.youtube.com/watch?v=QHrESeeUEGk Jingle Gamma Bells (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/93d1553538122dc28f0bb1f5a46fedeb-86.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://split-notes.com/spnt006.php Gammatar (the album)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/9a58ec270939f33b70f9db0d76cabfae-90.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]
* [http://electro-music.com/forum/phpbb-files/outofgammabodyexperience_149.mp3 Out of Gamma Body Experience] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/0ae0c7d29d4539d36e2ccc4a74f8207c-186.html blog entry])
* ''Invocation'' (2010) – [http://www.seraph.it/blog_files/cba5fea101e97ae6e80d4fcafeff5564-83.html blog] | [https://www.youtube.com/watch?v=s7pcu8U7BAU YouTube]
* [http://www.seraph.it/dep/det/GammaMeditation.mp3 Gamma Meditation] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.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]
* [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 Sea Of Tranquility] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.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/Organum1.mp3 Organum 1] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.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]
* [http://www.seraph.it/dep/det/Organum2.mp3 Organum 2] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.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=8Brkwkf60qY Adagio Gamma X (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.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://youtu.be/xxpk5_X7elA Far Away From Home (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.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]
* [https://youtu.be/d-J9IQdwWuw Lament for Marco (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.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://www.seraph.it/dep/det/ForwardGammaMarch.mp3 Forward Gamma March] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.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/J.F.Sebastian's%20Lullaby.mp3 J.F.Sebastian's Lullaby] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/aa384d59ce236c5213161037463fb51e-256.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]
* [https://youtu.be/JVclaUbeKEs Gamma Quarantine (video)] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/915d7be76fa98daf44f6e754adb9dbab-286.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/BabylonGamma.mp3 Babylon Gamma] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/d33f9a1bbeed04e78c0a5f835fed784c-306.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/GammaConstantStructures.mp3 Gamma Constant Structures] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.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]
* ''Gamma Meditation'' (2015) – [http://www.seraph.it/dep/det/GammaMeditation.mp3 play] | [http://www.seraph.it/blog_files/f4e2f44d30b32bb1b90f3c00d6c0c480-197.html blog]
* ''Sea Of Tranquility'' (2015) [http://www.seraph.it/dep/det/SeaOfTranquility.mp3 play] | [http://www.seraph.it/blog_files/e3c9fec40b5356be42308033c2c2fb61-200.html blog]
* ''Organum 1'' (2015) [http://www.seraph.it/dep/det/Organum1.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]
* ''Organum 2'' (2015) – [http://www.seraph.it/dep/det/Organum2.mp3 play] | [http://www.seraph.it/blog_files/dafd0e7332751c89286253d38df0da2a-201.html blog]
* ''Adagio Gamma X'' (2016) – [http://www.seraph.it/blog_files/e7cd6fb47169acbedac4aaf4d7d02086-226.html blog] | [https://www.youtube.com/watch?v=8Brkwkf60qY YouTube]
* ''Far Away From Home'' (2017) – [http://www.seraph.it/blog_files/25c9c788b3cd642d7c4954fdfe889310-243.html blog] | [https://youtu.be/xxpk5_X7elA YouTube]
* ''Lament for Marco'' (2017) [http://www.seraph.it/blog_files/ce7b875eb4f02eb597666fd61111226b-251.html blog] | [https://youtu.be/d-J9IQdwWuw YouTube]
* ''Forward Gamma March'' (2018) – [http://www.seraph.it/dep/det/ForwardGammaMarch.mp3 play] | [http://www.seraph.it/blog_files/0f88fc9f63abb474c4905ab8b367dce1-252.html blog]
* ''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 ==
* [[Carlos Alpha]]
* Carlos' equal scales
* [[Carlos Beta]]
** [[Carlos Alpha]]
** [[Carlos Beta]]
* [[Carlos harm|Carlos Harmonic]]
* [[Carlos harm|Carlos Harmonic]]
* [[Carlos super|Carlos Super Just]]
* [[Carlos super|Carlos Super Just]]
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== External links ==
== External links ==
* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article]
* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article | ''Three Asymmetric Divisions of the Octave'']


[[Category:Wendy Carlos]]
[[Category:Wendy Carlos]]