Carlos Gamma: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
| rowspan="2" |Degrees
| rowspan="2" |Degrees
! rowspan="2" |''ed233\420-3.5¢''
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |11/9-et (~ed11\19)
! rowspan="2" |11/9-et (~ed11\19)
Line 20: Line 20:
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+3.5¢''
! rowspan="2" |''ed37\60+5¢''
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 26: Line 26:
|-
|-
| | 1
| | 1
|''33.11-33.29''
|''33.04-33.29''
|34.44
|34.44
|34.74
|34.74
Line 34: Line 34:
|35.45
|35.45
|35.79
|35.79
|''37-37.175''
|''37-37.25''
|-
|-
| | 2
| | 2
|''66.22-66.''57
|''66.07-66.''57
|68.89
|68.89
|69.48
|69.48
Line 45: Line 45:
|70.91
|70.91
|71.58
|71.58
|''74-74.35''
|''74-74.5''
|-
|-
| | 3
| | 3
|''99.33-99.86''
|''99.11-99.86''
|103.33
|103.33
|104.22
|104.22
Line 56: Line 56:
|106.36
|106.36
|107.37
|107.37
|''111-111.525''
|''111-111.75''
|-
|-
| | 4
| | 4
|''132.44-133.14''
|''132.14-133.14''
|137.78
|137.78
|138.96
|138.96
Line 67: Line 67:
|141.81
|141.81
|143.16
|143.16
|''148-148.7''
|''148-149''
|-
|-
| | 5
| | 5
|''165.55-166.43''
|''165.18-166.43''
|172.22
|172.22
|173.7
|173.7
Line 78: Line 78:
|177.27
|177.27
|178.95
|178.95
|''185-185.875''
|''185-186.25''
|-
|-
| | 6
| | 6
|''198.66-199.71''
|''198.21-199.71''
|206.67
|206.67
|208.445
|208.445
Line 89: Line 89:
|212.72
|212.72
|214.74
|214.74
|''222-223.05''
|''222-223.5''
|-
|-
| | 7
| | 7
|''231.775-233''
|''231.25-233''
|241.11
|241.11
|243.19
|243.19
Line 100: Line 100:
|248.17
|248.17
|250.53
|250.53
|''259-260.225''
|''259-260.75''
|-
|-
| | 8
| | 8
|''264.89-266.29''
|''264.29-266.29''
|275.56
|275.56
|277.93
|277.93
Line 111: Line 111:
|283.63
|283.63
|286.32
|286.32
|''296-297.4''
|''296-298''
|-
|-
| | 9
| | 9
|''298-299.57''
|''297.32-299.57''
|310
|310
|312.67
|312.67
Line 122: Line 122:
|319.08
|319.08
|322.105
|322.105
|''333-334.575''
|''333-335.25''
|-
|-
| | 10
| | 10
|''331.11-332.86''
|''330.35-332.86''
|344.44
|344.44
|347.41
|347.41
Line 133: Line 133:
|354.53
|354.53
|357.895
|357.895
|''370-371.75''
|''370-372.5''
|-
|-
| | 11
| | 11
|''364.22-366.14''
|''363.39-366.14''
|378.89
|378.89
|382.15
|382.15
Line 144: Line 144:
|389.99
|389.99
|393.68
|393.68
|''407-408.925''
|''407-409.75''
|-
|-
| | 12
| | 12
|''397.33-399.43''
|''396.43-399.43''
|413.33
|413.33
|416.89
|416.89
Line 155: Line 155:
|425.44
|425.44
|429.47
|429.47
|''444-446.1''
|''444-447''
|-
|-
| | 13
| | 13
|''430.44-432.71''
|''429.46-432.71''
|447.78
|447.78
|451.63
|451.63
Line 166: Line 166:
|460.89
|460.89
|465.26
|465.26
|''481-483.275''
|''481-484.25''
|-
|-
| | 14
| | 14
|''463.55-466''
|''462.5-466''
|482.22
|482.22
|486.37
|486.37
Line 177: Line 177:
|496.345
|496.345
|501.05
|501.05
|''518-520.45''
|''518-521.5''
|-
|-
| | 15
| | 15
|''497.66-499.29''
|''495.54-499.29''
|516.67
|516.67
|521.11
|521.11
Line 188: Line 188:
|531.8
|531.8
|536.84
|536.84
|''555-557.625''
|''555-558.75''
|-
|-
| | 16
| | 16
|''529.77-532.57''
|''528.57-532.57''
|551.11
|551.11
|555.85
|555.85
Line 199: Line 199:
|567.25
|567.25
|572.63
|572.63
|''592-594.8''
|''592-596''
|-
|-
| | 17
| | 17
|''562.88-565.86''
|''561.61-565.86''
|585.56
|585.56
|590.59
|590.59
Line 210: Line 210:
|602.705
|602.705
|608.42
|608.42
|''629-631.975''
|''629-633.25''
|-
|-
| | 18
| | 18
|''596-599.14''
|''594.64-599.14''
|620
|620
|625.33
|625.33
Line 221: Line 221:
|638.16
|638.16
|644.21
|644.21
|''666-669.15''
|''666-670.5''
|-
|-
| | 19
| | 19
|''629.1-632.43''
|''627.68-632.43''
|654.44
|654.44
|660.075
|660.075
Line 232: Line 232:
|673.61
|673.61
|680
|680
|''703-706.325''
|''703-707.75''
|-
|-
| | 20
| | 20
|''662.21-665.71''
|''660.71-665.71''
|688.89
|688.89
|694.82
|694.82
Line 243: Line 243:
|709.065
|709.065
|715.79
|715.79
|''740-743.5''
|''740-745''
|-
|-
|21
|21
|''695.325-699''
|''693.75-699''
|723.33
|723.33
|729.56
|729.56
Line 254: Line 254:
|744.52
|744.52
|751.58
|751.58
|''777-780.675''
|''777-782.25''
|-
|-
|22
|22
|''728.44-732.29''
|''726.79-732.29''
|757.78
|757.78
|764.3
|764.3
Line 265: Line 265:
|779.97
|779.97
|787.37
|787.37
|''814-817.85''
|''814-819.5''
|-
|-
|23
|23
|''761.55-765.57''
|''759.82-765.57''
|792.22
|792.22
|799.04
|799.04
Line 276: Line 276:
|815.425
|815.425
|823.16
|823.16
|''851-855.025''
|''851-856.75''
|-
|-
|24
|24
|''794.66-798.86''
|''792.86-798.86''
|826.67
|826.67
|833.78
|833.78
Line 287: Line 287:
|850.88
|850.88
|858.95
|858.95
|''888-892.2''
|''888-894''
|-
|-
|25
|25
|''827.77-832.14''
|''825.89-832.14''
|861.11
|861.11
|868.52
|868.52
Line 298: Line 298:
|886.33
|886.33
|894.74
|894.74
|''925-929.375''
|''925-931.25''
|-
|-
|26
|26
|''860.88-865.43''
|''858.93-865.43''
|895.6
|895.6
|903.26
|903.26
Line 309: Line 309:
|921.78
|921.78
|930.53
|930.53
|''962-966.55''
|''962-968.5''
|-
|-
|27
|27
|''893.99-898.71''
|''891.96-898.71''
|930
|930
|938
|938
Line 320: Line 320:
|957.24
|957.24
|966.32
|966.32
|''999-1003.725''
|''999-1005.75''
|-
|-
|28
|28
|''927.1-932''
|''925-932''
|964.4
|964.4
|972.74
|972.74
Line 331: Line 331:
|992.69
|992.69
|1002.105
|1002.105
|''1036-1040.9''
|''1036-1043''
|-
|-
|29
|29
|''960.21-965.29''
|''958.04-965.29''
|998.89
|998.89
|1007.48
|1007.48
Line 342: Line 342:
|1028.14
|1028.14
|1039.895
|1039.895
|''1073-1078.075''
|''1073-1081.25''
|-
|-
|30
|30
|''993.32-998.''57
|''991.07-998.''57
|1033.33
|1033.33
|1042.22
|1042.22
Line 353: Line 353:
|1063.6
|1063.6
|1073.68
|1073.68
|''1110-1115.25''
|''1110-1117.5''
|-
|-
|31
|31
|''1026.43-1031.86''
|''1024.11-1031.86''
|1067.78
|1067.78
|1076.965
|1076.965
Line 364: Line 364:
|1099.05
|1099.05
|1109.47
|1109.47
|''1147-1152.425''
|''1147-1154.75''
|-
|-
|32
|32
|''1059.54-1065.14''
|''1057.14-1065.14''
|1102.22
|1102.22
|1111.705
|1111.705
Line 375: Line 375:
|1134.5
|1134.5
|1145.26
|1145.26
|''1184-1189.6''
|''1184-1192''
|-
|-
|33
|33
|''1092.65-1098.43''
|''1090.18-1098.43''
|1136.67
|1136.67
|1146.45
|1146.45
Line 386: Line 386:
|1169.96
|1169.96
|1181.05
|1181.05
|''1221-1226.775''
|''1221-1229.25''
|-
|-
|34
|34
|''1125.76-1131.71''
|''1123.21-1131.71''
|1171.1
|1171.1
|1181.19
|1181.19
Line 397: Line 397:
|1205.41
|1205.41
|1216.84
|1216.84
|''1258-1263.95''
|''1258-1266.5''
|-
|-
|35
|35
|''1158.875-1165''
|''1156.25-1165''
|1205.56
|1205.56
|1215.93
|1215.93
Line 408: Line 408:
|1240.86
|1240.86
|1252.63
|1252.63
|''1295-1301.125''
|''1295-1303.75''
|-
|-
|36
|36
|''1192-1198.29''
|''1189.29-1198.29''
|1240
|1240
|1250.67
|1250.67
Line 419: Line 419:
|1276.32
|1276.32
|1288.42
|1288.42
|''1332-1338.3''
|''1332-1341''
|-
|-
|37
|37
|''1225.1-1231.57''
|''1222.32-1231.57''
|1274.44
|1274.44
|1285.41
|1285.41
Line 430: Line 430:
|1311.77
|1311.77
|1324.42
|1324.42
|''1369-1375.475''
|''1369-1377.25''
|-
|-
|38
|38
|''1258.21-1263.''86
|''1255.36-1263.''86
|1308.89
|1308.89
|1320.15
|1320.15
Line 441: Line 441:
|1347.22
|1347.22
|1360
|1360
|''1406-1412.65''
|''1406-1415.5''
|-
|-
|39
|39
|''1291.32-1298.14''
|''1288.39-1298.14''
|1343.33
|1343.33
|1354.89
|1354.89
Line 452: Line 452:
|1382.68
|1382.68
|1395.79
|1395.79
|''1443-1449.825''
|''1443-1452.75''
|-
|-
|40
|40
|''1324.43-1331.43''
|''1321.43-1331.43''
|1377.78
|1377.78
|1389.6
|1389.6
Line 463: Line 463:
|1418.13
|1418.13
|1431.6
|1431.6
|''1480-1487''
|''1480-1490''
|}
|}


Revision as of 21:01, 12 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 11/9-et (~ed11\19) ed3/2 Pyrite ed122/81 (~ed13\22) ed34\57 ed37\60+5¢
(~ed17\29) (~ed10\17)
1 33.04-33.29 34.44 34.74 35.1 35.18 35.29 35.45 35.79 37-37.25
2 66.07-66.57 68.89 69.48 70.2 70.36 70.59 70.91 71.58 74-74.5
3 99.11-99.86 103.33 104.22 105.29 105.545 105.88 106.36 107.37 111-111.75
4 132.14-133.14 137.78 138.96 140.39 140.72 141.17 141.81 143.16 148-149
5 165.18-166.43 172.22 173.7 175.49 175.91 176.46 177.27 178.95 185-186.25
6 198.21-199.71 206.67 208.445 210.59 211.09 211.76 212.72 214.74 222-223.5
7 231.25-233 241.11 243.19 245.68 246.27 247.05 248.17 250.53 259-260.75
8 264.29-266.29 275.56 277.93 280.78 281.45 282.34 283.63 286.32 296-298
9 297.32-299.57 310 312.67 315.88 316.64 317.635 319.08 322.105 333-335.25
10 330.35-332.86 344.44 347.41 350.98 351.82 352.93 354.53 357.895 370-372.5
11 363.39-366.14 378.89 382.15 386.075 387 388.22 389.99 393.68 407-409.75
12 396.43-399.43 413.33 416.89 421.17 422.18 423.51 425.44 429.47 444-447
13 429.46-432.71 447.78 451.63 456.27 457.36 458.81 460.89 465.26 481-484.25
14 462.5-466 482.22 486.37 491.37 492.545 494.1 496.345 501.05 518-521.5
15 495.54-499.29 516.67 521.11 526.47 527.73 529.39 531.8 536.84 555-558.75
16 528.57-532.57 551.11 555.85 561.56 562.91 564.68 567.25 572.63 592-596
17 561.61-565.86 585.56 590.59 596.66 598.09 599.98 602.705 608.42 629-633.25
18 594.64-599.14 620 625.33 631.76 633.27 635.27 638.16 644.21 666-670.5
19 627.68-632.43 654.44 660.075 666.86 668.45 670.56 673.61 680 703-707.75
20 660.71-665.71 688.89 694.82 701.955 703.64 705.86 709.065 715.79 740-745
21 693.75-699 723.33 729.56 737.05 738.82 741.15 744.52 751.58 777-782.25
22 726.79-732.29 757.78 764.3 772.15 774 776.44 779.97 787.37 814-819.5
23 759.82-765.57 792.22 799.04 807.25 809.18 811.73 815.425 823.16 851-856.75
24 792.86-798.86 826.67 833.78 842.35 844.36 847.03 850.88 858.95 888-894
25 825.89-832.14 861.11 868.52 877.44 879.545 882.32 886.33 894.74 925-931.25
26 858.93-865.43 895.6 903.26 912.54 914.73 917.61 921.78 930.53 962-968.5
27 891.96-898.71 930 938 947.64 949.91 952.905 957.24 966.32 999-1005.75
28 925-932 964.4 972.74 982.74 985.09 988.2 992.69 1002.105 1036-1043
29 958.04-965.29 998.89 1007.48 1017.835 1020.27 1023.49 1028.14 1039.895 1073-1081.25
30 991.07-998.57 1033.33 1042.22 1052.93 1055.45 1058.78 1063.6 1073.68 1110-1117.5
31 1024.11-1031.86 1067.78 1076.965 1088.03 1090.64 1094.08 1099.05 1109.47 1147-1154.75
32 1057.14-1065.14 1102.22 1111.705 1123.13 1125.82 1129.37 1134.5 1145.26 1184-1192
33 1090.18-1098.43 1136.67 1146.45 1158.23 1161 1164.66 1169.96 1181.05 1221-1229.25
34 1123.21-1131.71 1171.1 1181.19 1193.32 1196.18 1199.95 1205.41 1216.84 1258-1266.5
35 1156.25-1165 1205.56 1215.93 1228.42 1231.36 1235.25 1240.86 1252.63 1295-1303.75
36 1189.29-1198.29 1240 1250.67 1263.52 1266.545 1270.54 1276.32 1288.42 1332-1341
37 1222.32-1231.57 1274.44 1285.41 1298.62 1301.73 1305.83 1311.77 1324.42 1369-1377.25
38 1255.36-1263.86 1308.89 1320.15 1333.715 1336.91 1341.125 1347.22 1360 1406-1415.5
39 1288.39-1298.14 1343.33 1354.89 1368.81 1372.09 1376.42 1382.68 1395.79 1443-1452.75
40 1321.43-1331.43 1377.78 1389.6 1403.91 1407.27 1411.71 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=42245"