Carlos Gamma: Difference between revisions

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Line 12: Line 12:


{| class="wikitable"
{| class="wikitable"
| rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed696¢ (~69ed4!)
! rowspan="2" |ed696¢ (~69ed4!)
! rowspan="2" |ed32\55
! rowspan="2" |ed700¢=''r¢''
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! colspan="2" |Pyrite
Line 32: Line 34:
|34.74
|34.74
|34.8
|34.8
|34.91
|''35''
| | 35.1
| | 35.1
|35.18
|35.18
Line 45: Line 49:
|69.48
|69.48
|69.6
|69.6
|69.82
|''70''
| | 70.2
| | 70.2
|70.36
|70.36
Line 58: Line 64:
|104.22
|104.22
|104.4
|104.4
|104.73
|''105''
| | 105.29
| | 105.29
|105.545
|105.545
Line 71: Line 79:
|138.96
|138.96
|139.2
|139.2
|139.64
|''140''
| | 140.39
| | 140.39
|140.72
|140.72
Line 84: Line 94:
|173.7
|173.7
|174
|174
|174.545
|''175''
| | 175.49
| | 175.49
|175.91
|175.91
Line 97: Line 109:
|208.445
|208.445
|208.8
|208.8
|209.455
|''210''
| | 210.59
| | 210.59
|211.09
|211.09
Line 110: Line 124:
|243.19
|243.19
|243.6
|243.6
|244.36
|''245''
| | 245.68
| | 245.68
|246.27
|246.27
Line 123: Line 139:
|277.93
|277.93
|278.4
|278.4
|279.27
|''280''
| | 280.78
| | 280.78
|281.45
|281.45
Line 136: Line 154:
|312.67
|312.67
|313.2
|313.2
|314.18
|''315''
| | 315.88
| | 315.88
|316.64
|316.64
Line 149: Line 169:
|347.41
|347.41
|348
|348
|349.09
|''350''
| | 350.98
| | 350.98
|351.82
|351.82
Line 162: Line 184:
|382.15
|382.15
|382.8
|382.8
|384
|''385''
| | 386.075
| | 386.075
|387
|387
Line 175: Line 199:
|416.89
|416.89
|417.6
|417.6
|418.91
|''420''
| | 421.17
| | 421.17
|422.18
|422.18
Line 188: Line 214:
|451.63
|451.63
|452.4
|452.4
|453.82
|''455''
| | 456.27
| | 456.27
|457.36
|457.36
Line 201: Line 229:
|486.37
|486.37
|487.2
|487.2
|488.73
|''490''
| |491.37
| |491.37
|492.545
|492.545
Line 214: Line 244:
|521.11
|521.11
|522
|522
|523.64
|''525''
| | 526.47
| | 526.47
|527.73
|527.73
Line 227: Line 259:
|555.85
|555.85
|556.8
|556.8
|558.545
|''560''
| | 561.56
| | 561.56
|562.91
|562.91
Line 240: Line 274:
|590.59
|590.59
|591.6
|591.6
|593.455
|''595''
| | 596.66
| | 596.66
|598.09
|598.09
Line 253: Line 289:
|625.33
|625.33
|626.4
|626.4
|628.36
|''630''
| | 631.76
| | 631.76
|633.27
|633.27
Line 266: Line 304:
|660.075
|660.075
|661.2
|661.2
|663.27
|''665''
| | 666.86
| | 666.86
|668.45
|668.45
Line 279: Line 319:
|694.82
|694.82
|696
|696
|698.18
|''700''
| | 701.955
| | 701.955
|703.64
|703.64
Line 292: Line 334:
|729.56
|729.56
|732.8
|732.8
|733.09
|''735''
|737.05
|737.05
|738.82
|738.82
Line 305: Line 349:
|764.3
|764.3
|765.6
|765.6
|768
|''770''
|772.15
|772.15
|774
|774
Line 318: Line 364:
|799.04
|799.04
|800.4
|800.4
|802.91
|''805''
|807.25
|807.25
|809.18
|809.18
Line 331: Line 379:
|833.78
|833.78
|835.2
|835.2
|837.82
|''840''
|842.35
|842.35
|844.36
|844.36
Line 344: Line 394:
|868.52
|868.52
|870
|870
|872.73
|''875''
|877.44
|877.44
|879.545
|879.545
Line 357: Line 409:
|903.26
|903.26
|904.8
|904.8
|907.64
|''910''
|912.54
|912.54
|914.73
|914.73
Line 370: Line 424:
|938
|938
|939.6
|939.6
|942.545
|''945''
|947.64
|947.64
|949.91
|949.91
Line 383: Line 439:
|972.74
|972.74
|974.4
|974.4
|977.455
|''980''
|982.74
|982.74
|985.09
|985.09
Line 396: Line 454:
|1007.48
|1007.48
|1009.2
|1009.2
|1012.36
|''1015''
|1017.835
|1017.835
|1020.27
|1020.27
Line 409: Line 469:
|1042.22
|1042.22
|1044
|1044
|1047.27
|''1050''
|1052.93
|1052.93
|1055.45
|1055.45
Line 422: Line 484:
|1076.965
|1076.965
|1078.8
|1078.8
|1082.18
|''1085''
|1088.03
|1088.03
|1090.64
|1090.64
Line 435: Line 499:
|1111.705
|1111.705
|1113.6
|1113.6
|1117.09
|''1120''
|1123.13
|1123.13
|1125.82
|1125.82
Line 448: Line 514:
|1146.45
|1146.45
|1148.4
|1148.4
|1152
|''1155''
|1158.23
|1158.23
|1161
|1161
Line 461: Line 529:
|1181.19
|1181.19
|1183.2
|1183.2
|1186.91
|''1190''
|1193.32
|1193.32
|1196.18
|1196.18
Line 474: Line 544:
|1215.93
|1215.93
|1218
|1218
|1221.82
|''1225''
|1228.42
|1228.42
|1231.36
|1231.36
Line 487: Line 559:
|1250.67
|1250.67
|1252.8
|1252.8
|1256.73
|''1260''
|1263.52
|1263.52
|1266.545
|1266.545
Line 500: Line 574:
|1285.41
|1285.41
|1287.6
|1287.6
|1291.64
|''1295''
|1298.62
|1298.62
|1301.73
|1301.73
Line 513: Line 589:
|1320.15
|1320.15
|1322.4
|1322.4
|1326.545
|''1330''
|1333.715
|1333.715
|1336.91
|1336.91
Line 526: Line 604:
|1354.89
|1354.89
|1357.2
|1357.2
|1361.455
|''1365''
|1368.81
|1368.81
|1372.09
|1372.09
Line 539: Line 619:
|1389.6
|1389.6
|1392
|1392
|1396.36
|''1400''
|1403.91
|1403.91
|1407.27
|1407.27

Revision as of 21:35, 19 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!) ed32\55 ed700¢=r¢ 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 34.91 35 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 69.82 70 70.2 70.36 70.59 70.8 70.91 71.58 74-74.5
3 99.11-99.86 103.33 104.22 104.4 104.73 105 105.29 105.545 105.88 106.2 106.36 107.37 111-111.75
4 132.14-133.14 137.78 138.96 139.2 139.64 140 140.39 140.72 141.17 141.6 141.81 143.16 148-149
5 165.18-166.43 172.22 173.7 174 174.545 175 175.49 175.91 176.46 177 177.27 178.95 185-186.25
6 198.21-199.71 206.67 208.445 208.8 209.455 210 210.59 211.09 211.76 212.4 212.72 214.74 222-223.5
7 231.25-233 241.11 243.19 243.6 244.36 245 245.68 246.27 247.05 247.8 248.17 250.53 259-260.75
8 264.29-266.29 275.56 277.93 278.4 279.27 280 280.78 281.45 282.34 283.2 283.63 286.32 296-298
9 297.32-299.57 310 312.67 313.2 314.18 315 315.88 316.64 317.635 318.6 319.08 322.105 333-335.25
10 330.35-332.86 344.44 347.41 348 349.09 350 350.98 351.82 352.93 354 354.53 357.895 370-372.5
11 363.39-366.14 378.89 382.15 382.8 384 385 386.075 387 388.22 389.4 389.99 393.68 407-409.75
12 396.43-399.43 413.33 416.89 417.6 418.91 420 421.17 422.18 423.51 424.8 425.44 429.47 444-447
13 429.46-432.71 447.78 451.63 452.4 453.82 455 456.27 457.36 458.81 460.2 460.89 465.26 481-484.25
14 462.5-466 482.22 486.37 487.2 488.73 490 491.37 492.545 494.1 495.6 496.345 501.05 518-521.5
15 495.54-499.29 516.67 521.11 522 523.64 525 526.47 527.73 529.39 531 531.8 536.84 555-558.75
16 528.57-532.57 551.11 555.85 556.8 558.545 560 561.56 562.91 564.68 566.4 567.25 572.63 592-596
17 561.61-565.86 585.56 590.59 591.6 593.455 595 596.66 598.09 599.98 601.8 602.705 608.42 629-633.25
18 594.64-599.14 620 625.33 626.4 628.36 630 631.76 633.27 635.27 637.2 638.16 644.21 666-670.5
19 627.68-632.43 654.44 660.075 661.2 663.27 665 666.86 668.45 670.56 672.6 673.61 680 703-707.75
20 660.71-665.71 688.89 694.82 696 698.18 700 701.955 703.64 705.86 708 709.065 715.79 740-745
21 693.75-699 723.33 729.56 732.8 733.09 735 737.05 738.82 741.15 743.4 744.52 751.58 777-782.25
22 726.79-732.29 757.78 764.3 765.6 768 770 772.15 774 776.44 778.8 779.97 787.37 814-819.5
23 759.82-765.57 792.22 799.04 800.4 802.91 805 807.25 809.18 811.73 813.2 815.425 823.16 851-856.75
24 792.86-798.86 826.67 833.78 835.2 837.82 840 842.35 844.36 847.03 848.6 850.88 858.95 888-894
25 825.89-832.14 861.11 868.52 870 872.73 875 877.44 879.545 882.32 885 886.33 894.74 925-931.25
26 858.93-865.43 895.6 903.26 904.8 907.64 910 912.54 914.73 917.61 920.4 921.78 930.53 962-968.5
27 891.96-898.71 930 938 939.6 942.545 945 947.64 949.91 952.905 955.8 957.24 966.32 999-1005.75
28 925-932 964.4 972.74 974.4 977.455 980 982.74 985.09 988.2 991.2 992.69 1002.105 1036-1043
29 958.04-965.29 998.89 1007.48 1009.2 1012.36 1015 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 1047.27 1050 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 1082.18 1085 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 1117.09 1120 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 1152 1155 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 1186.91 1190 1193.32 1196.18 1199.95 1203.6 1205.41 1216.84 1258-1266.5
35 1156.25-1165 1205.56 1215.93 1218 1221.82 1225 1228.42 1231.36 1235.25 1239 1240.86 1252.63 1295-1303.75
36 1189.29-1198.29 1240 1250.67 1252.8 1256.73 1260 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 1291.64 1295 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 1326.545 1330 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 1361.455 1365 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 1396.36 1400 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)

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