Carlos Gamma: Difference between revisions

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Line 15: Line 15:
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |11/9-et (~ed11\19)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed696¢ (~69ed4!)
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! colspan="2" |Pyrite
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |ed34\57
Line 29: Line 31:
|34.44
|34.44
|34.74
|34.74
|34.8
| | 35.1
| | 35.1
|35.18
|35.18
|35.29
|35.29
|35.4
|35.45
|35.45
|35.79
|35.79
Line 40: Line 44:
|68.89
|68.89
|69.48
|69.48
|69.6
| | 70.2
| | 70.2
|70.36
|70.36
|70.59
|70.59
|70.8
|70.91
|70.91
|71.58
|71.58
Line 51: Line 57:
|103.33
|103.33
|104.22
|104.22
|104.4
| | 105.29
| | 105.29
|105.545
|105.545
|105.88
|105.88
|106.2
|106.36
|106.36
|107.37
|107.37
Line 62: Line 70:
|137.78
|137.78
|138.96
|138.96
|139.2
| | 140.39
| | 140.39
|140.72
|140.72
|141.17
|141.17
|141.6
|141.81
|141.81
|143.16
|143.16
Line 73: Line 83:
|172.22
|172.22
|173.7
|173.7
|174
| | 175.49
| | 175.49
|175.91
|175.91
|176.46
|176.46
|177
|177.27
|177.27
|178.95
|178.95
Line 84: Line 96:
|206.67
|206.67
|208.445
|208.445
|208.8
| | 210.59
| | 210.59
|211.09
|211.09
|211.76
|211.76
|212.4
|212.72
|212.72
|214.74
|214.74
Line 95: Line 109:
|241.11
|241.11
|243.19
|243.19
|243.6
| | 245.68
| | 245.68
|246.27
|246.27
|247.05
|247.05
|247.8
|248.17
|248.17
|250.53
|250.53
Line 106: Line 122:
|275.56
|275.56
|277.93
|277.93
|278.4
| | 280.78
| | 280.78
|281.45
|281.45
|282.34
|282.34
|283.2
|283.63
|283.63
|286.32
|286.32
Line 117: Line 135:
|310
|310
|312.67
|312.67
|313.2
| | 315.88
| | 315.88
|316.64
|316.64
|317.635
|317.635
|318.6
|319.08
|319.08
|322.105
|322.105
Line 128: Line 148:
|344.44
|344.44
|347.41
|347.41
|348
| | 350.98
| | 350.98
|351.82
|351.82
|352.93
|352.93
|354
|354.53
|354.53
|357.895
|357.895
Line 139: Line 161:
|378.89
|378.89
|382.15
|382.15
|382.8
| | 386.075
| | 386.075
|387
|387
|388.22
|388.22
|389.4
|389.99
|389.99
|393.68
|393.68
Line 150: Line 174:
|413.33
|413.33
|416.89
|416.89
|417.6
| | 421.17
| | 421.17
|422.18
|422.18
|423.51
|423.51
|424.8
|425.44
|425.44
|429.47
|429.47
Line 161: Line 187:
|447.78
|447.78
|451.63
|451.63
|452.4
| | 456.27
| | 456.27
|457.36
|457.36
|458.81
|458.81
|460.2
|460.89
|460.89
|465.26
|465.26
Line 172: Line 200:
|482.22
|482.22
|486.37
|486.37
|487.2
| |491.37
| |491.37
|492.545
|492.545
|494.1
|494.1
|495.6
|496.345
|496.345
|501.05
|501.05
Line 183: Line 213:
|516.67
|516.67
|521.11
|521.11
|522
| | 526.47
| | 526.47
|527.73
|527.73
|529.39
|529.39
|531
|531.8
|531.8
|536.84
|536.84
Line 194: Line 226:
|551.11
|551.11
|555.85
|555.85
|556.8
| | 561.56
| | 561.56
|562.91
|562.91
|564.68
|564.68
|566.4
|567.25
|567.25
|572.63
|572.63
Line 205: Line 239:
|585.56
|585.56
|590.59
|590.59
|591.6
| | 596.66
| | 596.66
|598.09
|598.09
|599.98
|599.98
|601.8
|602.705
|602.705
|608.42
|608.42
Line 216: Line 252:
|620
|620
|625.33
|625.33
|626.4
| | 631.76
| | 631.76
|633.27
|633.27
|635.27
|635.27
|637.2
|638.16
|638.16
|644.21
|644.21
Line 227: Line 265:
|654.44
|654.44
|660.075
|660.075
|661.2
| | 666.86
| | 666.86
|668.45
|668.45
|670.56
|670.56
|672.6
|673.61
|673.61
|680
|680
Line 238: Line 278:
|688.89
|688.89
|694.82
|694.82
|696
| | 701.955
| | 701.955
|703.64
|703.64
|705.86
|705.86
|708
|709.065
|709.065
|715.79
|715.79
Line 249: Line 291:
|723.33
|723.33
|729.56
|729.56
|732.8
|737.05
|737.05
|738.82
|738.82
|741.15
|741.15
|743.4
|744.52
|744.52
|751.58
|751.58
Line 260: Line 304:
|757.78
|757.78
|764.3
|764.3
|765.6
|772.15
|772.15
|774
|774
|776.44
|776.44
|778.8
|779.97
|779.97
|787.37
|787.37
Line 271: Line 317:
|792.22
|792.22
|799.04
|799.04
|800.4
|807.25
|807.25
|809.18
|809.18
|811.73
|811.73
|813.2
|815.425
|815.425
|823.16
|823.16
Line 282: Line 330:
|826.67
|826.67
|833.78
|833.78
|835.2
|842.35
|842.35
|844.36
|844.36
|847.03
|847.03
|848.6
|850.88
|850.88
|858.95
|858.95
Line 293: Line 343:
|861.11
|861.11
|868.52
|868.52
|870
|877.44
|877.44
|879.545
|879.545
|882.32
|882.32
|885
|886.33
|886.33
|894.74
|894.74
Line 304: Line 356:
|895.6
|895.6
|903.26
|903.26
|904.8
|912.54
|912.54
|914.73
|914.73
|917.61
|917.61
|920.4
|921.78
|921.78
|930.53
|930.53
Line 315: Line 369:
|930
|930
|938
|938
|939.6
|947.64
|947.64
|949.91
|949.91
|952.905
|952.905
|955.8
|957.24
|957.24
|966.32
|966.32
Line 326: Line 382:
|964.4
|964.4
|972.74
|972.74
|974.4
|982.74
|982.74
|985.09
|985.09
|988.2
|988.2
|991.2
|992.69
|992.69
|1002.105
|1002.105
Line 337: Line 395:
|998.89
|998.89
|1007.48
|1007.48
|1009.2
|1017.835
|1017.835
|1020.27
|1020.27
|1023.49
|1023.49
|1026.6
|1028.14
|1028.14
|1039.895
|1039.895
Line 348: Line 408:
|1033.33
|1033.33
|1042.22
|1042.22
|1044
|1052.93
|1052.93
|1055.45
|1055.45
|1058.78
|1058.78
|1062
|1063.6
|1063.6
|1073.68
|1073.68
Line 359: Line 421:
|1067.78
|1067.78
|1076.965
|1076.965
|1078.8
|1088.03
|1088.03
|1090.64
|1090.64
|1094.08
|1094.08
|1097.4
|1099.05
|1099.05
|1109.47
|1109.47
Line 370: Line 434:
|1102.22
|1102.22
|1111.705
|1111.705
|1113.6
|1123.13
|1123.13
|1125.82
|1125.82
|1129.37
|1129.37
|1132.8
|1134.5
|1134.5
|1145.26
|1145.26
Line 381: Line 447:
|1136.67
|1136.67
|1146.45
|1146.45
|1148.4
|1158.23
|1158.23
|1161
|1161
|1164.66
|1164.66
|1168.2
|1169.96
|1169.96
|1181.05
|1181.05
Line 392: Line 460:
|1171.1
|1171.1
|1181.19
|1181.19
|1183.2
|1193.32
|1193.32
|1196.18
|1196.18
|1199.95
|1199.95
|1203.6
|1205.41
|1205.41
|1216.84
|1216.84
Line 403: Line 473:
|1205.56
|1205.56
|1215.93
|1215.93
|1218
|1228.42
|1228.42
|1231.36
|1231.36
|1235.25
|1235.25
|1239
|1240.86
|1240.86
|1252.63
|1252.63
Line 414: Line 486:
|1240
|1240
|1250.67
|1250.67
|1252.8
|1263.52
|1263.52
|1266.545
|1266.545
|1270.54
|1270.54
|1274.4
|1276.32
|1276.32
|1288.42
|1288.42
Line 425: Line 499:
|1274.44
|1274.44
|1285.41
|1285.41
|1287.6
|1298.62
|1298.62
|1301.73
|1301.73
|1305.83
|1305.83
|1309.8
|1311.77
|1311.77
|1324.42
|1324.42
Line 436: Line 512:
|1308.89
|1308.89
|1320.15
|1320.15
|1322.4
|1333.715
|1333.715
|1336.91
|1336.91
|1341.125
|1341.125
|1345.2
|1347.22
|1347.22
|1360
|1360
Line 447: Line 525:
|1343.33
|1343.33
|1354.89
|1354.89
|1357.2
|1368.81
|1368.81
|1372.09
|1372.09
|1376.42
|1376.42
|1380.6
|1382.68
|1382.68
|1395.79
|1395.79
Line 458: Line 538:
|1377.78
|1377.78
|1389.6
|1389.6
|1392
|1403.91
|1403.91
|1407.27
|1407.27
|1411.71
|1411.71
|1416
|1418.13
|1418.13
|1431.6
|1431.6

Revision as of 01:21, 13 August 2019

Carlos Gamma is the equal division of the just perfect fifth into twenty parts of 35.0978 cents each (20ED3/2), corresponding to 34.1902 edo.

Theory

Article by Wendy Carlos

Gamma is a non-octave scale created by Wendy Carlos. It is closely related to the gammic temperament.

Lookalikes: 34edo, 54edt, 96ed7

Some Intervals

The first steps up to two just perfect fifths should give a feeling of the granularity of this system...

Degrees ed233\420-5¢ ed31\54 ed121/81 (~ed11\19) ed696¢ (~69ed4!) ed3/2 Pyrite ed708¢ ed122/81 (~ed13\22) ed34\57 ed37\60+5¢
(~ed17\29) (~ed10\17)
1 33.04-33.29 34.44 34.74 34.8 35.1 35.18 35.29 35.4 35.45 35.79 37-37.25
2 66.07-66.57 68.89 69.48 69.6 70.2 70.36 70.59 70.8 70.91 71.58 74-74.5
3 99.11-99.86 103.33 104.22 104.4 105.29 105.545 105.88 106.2 106.36 107.37 111-111.75
4 132.14-133.14 137.78 138.96 139.2 140.39 140.72 141.17 141.6 141.81 143.16 148-149
5 165.18-166.43 172.22 173.7 174 175.49 175.91 176.46 177 177.27 178.95 185-186.25
6 198.21-199.71 206.67 208.445 208.8 210.59 211.09 211.76 212.4 212.72 214.74 222-223.5
7 231.25-233 241.11 243.19 243.6 245.68 246.27 247.05 247.8 248.17 250.53 259-260.75
8 264.29-266.29 275.56 277.93 278.4 280.78 281.45 282.34 283.2 283.63 286.32 296-298
9 297.32-299.57 310 312.67 313.2 315.88 316.64 317.635 318.6 319.08 322.105 333-335.25
10 330.35-332.86 344.44 347.41 348 350.98 351.82 352.93 354 354.53 357.895 370-372.5
11 363.39-366.14 378.89 382.15 382.8 386.075 387 388.22 389.4 389.99 393.68 407-409.75
12 396.43-399.43 413.33 416.89 417.6 421.17 422.18 423.51 424.8 425.44 429.47 444-447
13 429.46-432.71 447.78 451.63 452.4 456.27 457.36 458.81 460.2 460.89 465.26 481-484.25
14 462.5-466 482.22 486.37 487.2 491.37 492.545 494.1 495.6 496.345 501.05 518-521.5
15 495.54-499.29 516.67 521.11 522 526.47 527.73 529.39 531 531.8 536.84 555-558.75
16 528.57-532.57 551.11 555.85 556.8 561.56 562.91 564.68 566.4 567.25 572.63 592-596
17 561.61-565.86 585.56 590.59 591.6 596.66 598.09 599.98 601.8 602.705 608.42 629-633.25
18 594.64-599.14 620 625.33 626.4 631.76 633.27 635.27 637.2 638.16 644.21 666-670.5
19 627.68-632.43 654.44 660.075 661.2 666.86 668.45 670.56 672.6 673.61 680 703-707.75
20 660.71-665.71 688.89 694.82 696 701.955 703.64 705.86 708 709.065 715.79 740-745
21 693.75-699 723.33 729.56 732.8 737.05 738.82 741.15 743.4 744.52 751.58 777-782.25
22 726.79-732.29 757.78 764.3 765.6 772.15 774 776.44 778.8 779.97 787.37 814-819.5
23 759.82-765.57 792.22 799.04 800.4 807.25 809.18 811.73 813.2 815.425 823.16 851-856.75
24 792.86-798.86 826.67 833.78 835.2 842.35 844.36 847.03 848.6 850.88 858.95 888-894
25 825.89-832.14 861.11 868.52 870 877.44 879.545 882.32 885 886.33 894.74 925-931.25
26 858.93-865.43 895.6 903.26 904.8 912.54 914.73 917.61 920.4 921.78 930.53 962-968.5
27 891.96-898.71 930 938 939.6 947.64 949.91 952.905 955.8 957.24 966.32 999-1005.75
28 925-932 964.4 972.74 974.4 982.74 985.09 988.2 991.2 992.69 1002.105 1036-1043
29 958.04-965.29 998.89 1007.48 1009.2 1017.835 1020.27 1023.49 1026.6 1028.14 1039.895 1073-1081.25
30 991.07-998.57 1033.33 1042.22 1044 1052.93 1055.45 1058.78 1062 1063.6 1073.68 1110-1117.5
31 1024.11-1031.86 1067.78 1076.965 1078.8 1088.03 1090.64 1094.08 1097.4 1099.05 1109.47 1147-1154.75
32 1057.14-1065.14 1102.22 1111.705 1113.6 1123.13 1125.82 1129.37 1132.8 1134.5 1145.26 1184-1192
33 1090.18-1098.43 1136.67 1146.45 1148.4 1158.23 1161 1164.66 1168.2 1169.96 1181.05 1221-1229.25
34 1123.21-1131.71 1171.1 1181.19 1183.2 1193.32 1196.18 1199.95 1203.6 1205.41 1216.84 1258-1266.5
35 1156.25-1165 1205.56 1215.93 1218 1228.42 1231.36 1235.25 1239 1240.86 1252.63 1295-1303.75
36 1189.29-1198.29 1240 1250.67 1252.8 1263.52 1266.545 1270.54 1274.4 1276.32 1288.42 1332-1341
37 1222.32-1231.57 1274.44 1285.41 1287.6 1298.62 1301.73 1305.83 1309.8 1311.77 1324.42 1369-1377.25
38 1255.36-1263.86 1308.89 1320.15 1322.4 1333.715 1336.91 1341.125 1345.2 1347.22 1360 1406-1415.5
39 1288.39-1298.14 1343.33 1354.89 1357.2 1368.81 1372.09 1376.42 1380.6 1382.68 1395.79 1443-1452.75
40 1321.43-1331.43 1377.78 1389.6 1392 1403.91 1407.27 1411.71 1416 1418.13 1431.6 1480-1490

Compositions

Adagio Gamma by Carlo Serafini (blog entry)

Gammalan by Carlo Serafini (blog entry)

Moonlight Gamma Serenade by Carlo Serafini (blog entry)

Bix In The Sky With Gamma by Carlo Serafini (blog entry)

An Irishman In Guangdong by Carlo Serafini (blog entry)

Chameleons In The Dark by Carlo Serafini (blog entry)

Gamma Elegy by Carlo Serafini (blog entry)

Glorious Guitars by Carlo Serafini (blog entry)

Chameleons In The Sun by Carlo Serafini (blog entry)

Gamma Monk by Carlo Serafini (blog entry)

East Of The Moon (video) by Carlo Serafini (blog entry)

The Singing Alchemist by Carlo Serafini (blog entry)

Micro Vocoder 1 (video) by Carlo Serafini (blog entry)

Namul1 by Carlo Serafini (blog entry)

Namul 2 by Carlo Serafini (blog entry)

Delta Gamma Blues by Carlo Serafini (blog entry)

Hal Trumpetti by Carlo Serafini (blog entry)

Talking Gamma In Your Sleep by Carlo Serafini (blog entry)

Gamma Raga by Carlo Serafini (blog entry)

The Solstice Song - Part 5 by Carlo Serafini (blog entry)

Gamma Breezin' by Carlo Serafini (blog entry)

Conference of Flutes by Carlo Serafini (blog entry)

Bicycles and Bowls by Carlo Serafini (blog entry)

Elba Gamma (video) by Carlo Serafini (blog entry)

Double Trouble 1 (video) by Carlo Serafini (blog entry)

Double Trouble 2 (video) by Carlo Serafini (blog entry)

Autumnal Modulations by Carlo Serafini (blog entry)

Invocation (video) by Carlo Serafini (blog entry)

KYMI #1 (video) by Carlo Serafini (blog entry)

Jingle Gamma Bells (video) by Carlo Serafini (blog entry)

Gammatar (the album) by Carlo Serafini (blog entry)

Out of Gamma Body Experience by Carlo Serafini (blog entry)

Gamma Meditation by Carlo Serafini (blog entry)

Sea Of Tranquility by Carlo Serafini (blog entry)

Organum 1 by Carlo Serafini (blog entry)

Organum 2 by Carlo Serafini (blog entry)

Adagio Gamma X (video) by Carlo Serafini (blog entry)

Far Away From Home (video) by Carlo Serafini (blog entry)

Lament for Marco (video) by Carlo Serafini (blog entry)

Forward Gamma March by Carlo Serafini (blog entry)

J.F.Sebastian's Lullaby by Carlo Serafini (blog entry)

Retrieved from "https://en.xen.wiki/index.php?title=Carlos_Gamma&oldid=42247"