Carlos Gamma

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\420-3.5¢	ed31\54	11/9-et (~ed11\19)	ed3/2	(~ed17\29)	(~ed10\17)	ed122/81 (~ed13\22)	ed34\57	ed37\60+3.5¢
Degrees	ed233\420-3.5¢	ed31\54	11/9-et (~ed11\19)	ed3/2	Pyrite		ed122/81 (~ed13\22)	ed34\57	ed37\60+3.5¢
1	33.11-33.29	34.44	34.74	35.1	35.18	35.29	35.45	35.79	37-37.175
2	66.22-66.57	68.89	69.48	70.2	70.36	70.59	70.91	71.58	74-74.35
3	99.33-99.86	103.33	104.22	105.29	105.545	105.88	106.36	107.37	111-111.525
4	132.44-133.14	137.78	138.96	140.39	140.72	141.17	141.81	143.16	148-148.7
5	165.55-166.43	172.22	173.7	175.49	175.91	176.46	177.27	178.95	185-185.875
6	198.66-199.71	206.67	208.445	210.59	211.09	211.76	212.72	214.74	222-223.05
7	231.775-233	241.11	243.19	245.68	246.27	247.05	248.17	250.53	259-260.225
8	264.89-266.29	275.56	277.93	280.78	281.45	282.34	283.63	286.32	296-297.4
9	298-299.57	310	312.67	315.88	316.64	317.635	319.08	322.105	333-334.575
10	331.11-332.86	344.44	347.41	350.98	351.82	352.93	354.53	357.895	370-371.75
11	364.22-366.14	378.89	382.15	386.075	387	388.22	389.99	393.68	407-408.925
12	397.33-399.43	413.33	416.89	421.17	422.18	423.51	425.44	429.47	444-446.1
13	430.44-432.71	447.78	451.63	456.27	457.36	458.81	460.89	465.26	481-483.275
14	463.55-466	482.22	486.37	491.37	492.545	494.1	496.345	501.05	518-520.45
15	497.66-499.29	516.67	521.11	526.47	527.73	529.39	531.8	536.84	555-557.625
16	529.77-532.57	551.11	555.85	561.56	562.91	564.68	567.25	572.63	592-594.8
17	562.88-565.86	585.56	590.59	596.66	598.09	599.98	602.705	608.42	629-631.975
18	596-599.14	620	625.33	631.76	633.27	635.27	638.16	644.21	666-669.15
19	629.1-632.43	654.44	660.075	666.86	668.45	670.56	673.61	680	703-706.325
20	662.21-665.71	688.89	694.82	701.955	703.64	705.86	709.065	715.79	740-743.5
21	695.325-699	723.33	729.56	737.05	738.82	741.15	744.52	751.58	777-780.675
22	728.44-732.29	757.78	764.3	772.15	774	776.44	779.97	787.37	814-817.85
23	761.55-765.57	792.22	799.04	807.25	809.18	811.73	815.425	823.16	851-855.025
24	794.66-798.86	826.67	833.78	842.35	844.36	847.03	850.88	858.95	888-892.2
25	827.77-832.14	861.11	868.52	877.44	879.545	882.32	886.33	894.74	925-929.375
26	860.88-865.43	895.6	903.26	912.54	914.73	917.61	921.78	930.53	962-966.55
27	893.99-898.71	930	938	947.64	949.91	952.905	957.24	966.32	999-1003.725
28	927.1-932	964.4	972.74	982.74	985.09	988.2	992.69	1002.105	1036-1040.9
29	960.21-965.29	998.89	1007.48	1017.835	1020.27	1023.49	1028.14	1039.895	1073-1078.075
30	993.32-998.57	1033.33	1042.22	1052.93	1055.45	1058.78	1063.6	1073.68	1110-1115.25
31	1026.43-1031.86	1067.78	1076.965	1088.03	1090.64	1094.08	1099.05	1109.47	1147-1152.425
32	1059.54-1065.14	1102.22	1111.705	1123.13	1125.82	1129.37	1134.5	1145.26	1184-1189.6
33	1092.65-1098.43	1136.67	1146.45	1158.23	1161	1164.66	1169.96	1181.05	1221-1226.775
34	1125.76-1131.71	1171.1	1181.19	1193.32	1196.18	1199.95	1205.41	1216.84	1258-1263.95
35	1158.875-1165	1205.56	1215.93	1228.42	1231.36	1235.25	1240.86	1252.63	1295-1301.125
36	1192-1198.29	1240	1250.67	1263.52	1266.545	1270.54	1276.32	1288.42	1332-1338.3
37	1225.1-1231.57	1274.44	1285.41	1298.62	1301.73	1305.83	1311.77	1324.42	1369-1375.475
38	1258.21-1263.86	1308.89	1320.15	1333.715	1336.91	1341.125	1347.22	1360	1406-1412.65
39	1291.32-1298.14	1343.33	1354.89	1368.81	1372.09	1376.42	1382.68	1395.79	1443-1449.825
40	1324.43-1331.43	1377.78	1389.6	1403.91	1407.27	1411.71	1418.13	1431.6	1480-1487