List of rank one temperaments by step size
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Cents | Rank 1 temperament |
---|---|
10877.6643 | e2π (exp(2*pi)), the "natural" unit of the Riemann zeta function |
1901.9550 | 1EDT (3/1, "tritave") |
1200.0000 | 1EDO (2/1, "octave") |
950.9775 | 2EDT |
833.0903 | 1ED1.618 (phi, "Golden Ratio") |
701.9550 | 1EDF (3/2, "perfect fifth") |
633.9850 | 3EDT |
600.0000 | 2EDO |
475.4888 | 4EDT |
416.5451 | 2ED1.618 |
400.0000 | 3EDO |
380.3910 | 5EDT |
350.9775 | 2EDF |
316.9925 | 6EDT |
300.0000 | 4EDO |
277.6968 | 3ED1.618 |
271.7079 | 7EDT |
240.0000 | 5EDO |
237.7444 | 8EDT |
233.9850 | 3EDF |
211.3283 | 9EDT |
208.2726 | 4ED1.618 |
200.0000 | 6EDO |
190.1955 | 10EDT |
175.4888 | 4EDF (suggested as a theoretical basis for Georgian music) |
172.9050 | 11EDT |
171.4286 | 7EDO |
166.6181 | 5ED1.618 |
158.4963 | 12EDT |
150.0000 | 8EDO |
146.4760 | TOP 3.5 BP == TOP 3.5.7 BP |
146.3042 | 13EDT (Bohlen-Pierce equal temperament) |
140.3910 | 5EDF |
138.8484 | 6ED1.618 |
135.8539 | 14EDT |
133.3333 | 9EDO |
126.7970 | 15EDT |
120.0000 | 10EDO |
119.0129 | 7ED1.618 |
118.8722 | 16EDT |
116.9925 | 6EDF |
111.8797 | 17EDT |
109.0909 | 11EDO |
105.6642 | 18EDT |
104.1363 | 8ED1.618 |
100.2793 | 7EDF |
100.1029 | 19EDT |
100.0000 | 12EDO (standard equal temperament) |
95.0978 | 20EDT |
92.5656 | 9ED1.618 |
92.3077 | 13EDO |
90.5693 | 21EDT |
88.0000 | 88cET |
87.7444 | 8EDF |
86.4525 | 22EDT |
85.7143 | 14EDO |
83.3090 | 10ED1.618 |
82.6937 | 23EDT |
80.0000 | 15EDO |
79.2481 | 24EDT |
77.9950 | Carlos alpha (that is, 9EDF) |
77.6279 | TOP 11-limit valentine, no octaves |
76.0782 | 25EDT |
75.7355 | 11ED1.618 |
75.0000 | 16EDO |
73.1521 | 26EDT |
70.5882 | 17EDO |
70.4428 | 27EDT |
70.1955 | 10EDF |
69.4242 | 12ED1.618 |
67.9270 | 28EDT |
66.6667 | 18EDO |
65.5847 | 29EDT |
64.0839 | 13ED1.618 |
63.8141 | Carlos beta (that is, 11EDF) |
63.3985 | 30EDT |
63.1579 | 19EDO |
61.3534 | 31EDT |
60.0000 | 20EDO |
59.5064 | 14ED1.618 |
59.4361 | 32EDT |
58.4963 | 12EDF |
57.6350 | 33EDT |
57.1429 | 21EDO |
55.9399 | 34EDT |
55.5394 | 15ED1.618 |
54.5455 | 22EDO |
54.3416 | 35EDT |
53.9965 | 13EDF |
52.8321 | 36EDT |
52.1739 | 23EDO |
52.0681 | 16ED1.618 |
51.4042 | 37EDT |
50.1396 | 14EDF |
50.0514 | 38EDT |
50.0000 | 24EDO |
49.0053 | 17ED1.618 |
48.7681 | 39EDT |
48.0000 | 25EDO |
47.5489 | 40EDT |
46.7970 | 15EDF |
46.3891 | 41EDT |
46.2828 | 18ED1.618 |
46.1538 | 26EDO |
45.2846 | 42EDT |
44.4444 | 27EDO |
44.2315 | 43EDT |
43.8722 | 16EDF |
43.8469 | 19ED1.618 |
43.2263 | 44EDT |
42.8571 | 28EDO |
42.2657 | 45EDT |
41.6545 | 20ED1.618 |
41.3793 | 29EDO |
41.3468 | 46EDT |
41.2915 | 17EDF |
40.4671 | 47EDT |
40.0000 | 30EDO |
39.6710 | 21ED1.618 |
39.6241 | 48EDT |
38.9975 | 18EDF |
38.8154 | 49EDT |
38.7097 | 31EDO |
38.0391 | 50EDT |
37.8677 | 22ED1.618 |
37.5000 | 32EDO |
37.2932 | 51EDT |
36.9450 | 19EDF |
36.5761 | 52EDT |
36.3636 | 33EDO |
36.2213 | 23ED1.618 |
35.8859 | 53EDT |
35.2941 | 34EDO |
35.2214 | 54EDT |
35.0978 | Carlos gamma (that is, 20EDF) |
34.7121 | 24ED1.618 |
34.5810 | 55EDT |
34.2857 | 35EDO |
33.9635 | 56EDT |
33.4264 | 21EDF |
33.3676 | 57EDT |
33.3333 | 36EDO |
33.3236 | 25ED1.618 |
32.7923 | 58EDT |
32.4324 | 37EDO |
32.2365 | 59EDT |
32.0419 | 26ED1.618 |
31.9070 | 22EDF |
31.6993 | 60EDT |
3F789 | 38EDO |
31.1796 | 61EDT |
30.8552 | 27ED1.618 |
30.7692 | 39EDO |
30.6767 | 62EDT |
30.5198 | 23EDF |
30.1898 | 63EDT |
30.0000 | 40EDO |
29.7532 | 28ED1.618 |
29.7180 | 64EDT |
29.2683 | 41EDO |
29.2608 | 65EDT |
29.2481 | 24EDF |
28.8175 | 66EDT |
28.7273 | 29ED1.618 |
28.5714 | 42EDO |
28.3874 | 67EDT |
28.0782 | 25EDF |
27.9699 | 68EDT |
27.9070 | 43EDO |
27.7697 | 30ED1.618 |
27.5646 | 69EDT |
27.2727 | 44EDO |
27.1708 | 70EDT |
26.9983 | 26EDF |
26.8739 | 31ED1.618 |
26.7881 | 71EDT |
26.6667 | 45EDO |
26.4160 | 72EDT |
26.0870 | 46EDO |
26.0542 | 73EDT |
26.0341 | 32ED1.618 |
25.9983 | 27EDF |
25.7021 | 74EDT |
25.5319 | 47EDO |
25.3594 | 75EDT |
25.2452 | 33ED1.618 |
25.0698 | 28EDF |
25.0257 | 76EDT |
25.0000 | 48EDO |
24.7007 | 77EDT |
24.5027 | 34ED1.618 |
24.4898 | 49EDO |
24.3840 | 78EDT |
24.2053 | 29EDF |
24.0754 | 79EDT |
24.0000 | 50EDO |
23.8026 | 35ED1.618 |
23.7744 | 80EDT |
23.5294 | 51EDO |
23.4809 | 81EDT |
23.3985 | 30EDF |
23.1946 | 82EDT |
23.1414 | 36ED1.618 |
23.0769 | 52EDO |
22.9151 | 83EDT |
22.6437 | 31EDF |
22.6423 | 84EDT |
22.6415 | 53EDO |
22.5160 | 37ED1.618 |
22.3759 | 85EDT |
22.2222 | 54EDO |
22.1158 | 86EDT |
21.9361 | 32EDF |
21.9234 | 38ED1.618 |
21.8616 | 87EDT |
21.8182 | 55EDO |
21.6131 | 88EDT |
21.4286 | 56EDO |
21.3703 | 89EDT |
21.3613 | 39ED1.618 |
21.2714 | 33EDF |
21.1328 | 90EDT |
21.0526 | 57EDO |
20.9006 | 91EDT |
20.8273 | 40ED1.618 |
20.6897 | 58EDO |
20.6734 | 92EDT |
20.6457 | 34EDF |
20.4511 | 93EDT |
20.3390 | 59EDO |
20.3193 | 41ED1.618 |
20.2336 | 94EDT |
20.0559 | 35EDF |
20.0206 | 95EDT |
20.0000 | 60EDO |
19.8355 | 42ED1.618 |
19.8120 | 96EDT |
19.6721 | 61EDO |
19.6078 | 97EDT |
19.4988 | 36EDF |
19.4077 | 98EDT |
19.3742 | 43ED1.618 |
19.3548 | 62EDO |
19.2117 | 99EDT |
19.0476 | 63EDO |
19.0196 | 100EDT |
18.9718 | 37EDF |
18.9339 | 44ED1.618 |
18.8312 | 101EDT |
18.7500 | 64EDO |
18.6466 | 102EDT |
18.5131 | 45ED1.618 |
18.4725 | 38EDF |
18.4656 | 103EDT |
18.4615 | 65EDO |
18.2880 | 104EDT |
18.1818 | 66EDO |
18.1139 | 105EDT |
18.1107 | 46ED1.618 |
17.9988 | 39EDF |
17.9430 | 106EDT |
17.9104 | 67EDO |
17.7753 | 107EDT |
17.7253 | 47ED1.618 |
17.6471 | 68EDO |
17.6107 | 108EDT |
17.5489 | 40EDF |
17.4491 | 109EDT |
17.3913 | 69EDO |
17.3560 | 48ED1.618 |
17.2905 | 110EDT |
17.1429 | 70EDO |
17.1347 | 111EDT |
17.1209 | 41EDF |
17.0018 | 49ED1.618 |
16.9817 | 112EDT |
16.9014 | 71EDO |
16.8315 | 113EDT |
16.7132 | 42EDF |
16.6838 | 114EDT |
16.6667 | 72EDO |
16.6618 | 50ED1.618 |
16.5387 | 115EDT |
16.4384 | 73EDO |
16.3962 | 116EDT |
16.3351 | 51ED1.618 |
16.3245 | 43EDF |
16.2560 | 117EDT |
16.2162 | 74EDO |
16.1183 | 118EDT |
16.0210 | 52ED1.618 |
16.0000 | 75EDO |
15.9828 | 119EDT |
15.9535 | 44EDF |
15.8496 | 120EDT |
15.7895 | 76EDO |
15.7187 | 53ED1.618 |
15.7186 | 121EDT |
15.5990 | 45EDF |
15.5898 | 122EDT |
15.5844 | 77EDO |
15.4630 | 123EDT |
15.4276 | 54ED1.618 |
15.3846 | 78EDO |
15.3383 | 124EDT |
15.2599 | 46EDF |
15.2156 | 125EDT |
15.1899 | 79EDO |
15.1471 | 55ED1.618 |
15.0949 | 126EDT |
15.0000 | 80EDO |
14.9760 | 127EDT |
14.9352 | 47EDF |
14.8766 | 56ED1.618 |
14.8590 | 128EDT |
14.8148 | 81EDO |
14.7438 | 129EDT |
14.6341 | 82EDO |
14.6304 | 130EDT |
14.6241 | 48EDF |
14.6156 | 57ED1.618 |
14.5187 | 131EDT |
14.4578 | 83EDO |
14.4088 | 132EDT |
14.3636 | 58ED1.618 |
14.3256 | 49EDF |
14.3004 | 133EDT |
14.2857 | 84EDO |
14.1937 | 134EDT |
14.1202 | 59ED1.618 |
14.1176 | 85EDO |
14.0886 | 135EDT |
14.0391 | 50EDF |
13.9850 | 136EDT |
13.9535 | 86EDO |
13.8848 | 60ED1.618 |
13.8829 | 137EDT |
13.7931 | 87EDO |
13.7823 | 138EDT |
13.7638 | 51EDF |
13.6831 | 139EDT |
13.6572 | 61ED1.618 |
13.6364 | 88EDO |
13.5854 | 140EDT |
13.4991 | 52EDF |
13.4890 | 141EDT |
13.4831 | 89EDO |
13.4369 | 62ED1.618 |
13.3940 | 142EDT |
13.3333 | 90EDO |
13.3004 | 143EDT |
13.2444 | 53EDF |
13.2237 | 63ED1.618 |
13.2080 | 144EDT |
13.1868 | 91EDO |
13.1169 | 145EDT |
13.0435 | 92EDO |
13.0271 | 146EDT |
13.0170 | 64ED1.618 |
12.9992 | 54EDF |
12.9385 | 147EDT |
12.9032 | 93EDO |
12.8510 | 148EDT |
12.8168 | 65ED1.618 |
12.7660 | 94EDO |
12.7648 | 149EDT |
12.7628 | 55EDF |
12.6797 | 150EDT |
12.6316 | 95EDO |
12.6226 | 66ED1.618 |
12.5957 | 151EDT |
12.5349 | 56EDF |
12.5129 | 152EDT |
12.5000 | 96EDO |
12.4342 | 67ED1.618 |
12.4311 | 153EDT |
12.3711 | 97EDO |
12.3504 | 154EDT |
12.3150 | 57EDF |
12.2707 | 155EDT |
12.2513 | 68ED1.618 |
12.2449 | 98EDO |
12.1920 | 156EDT |
12.1212 | 99EDO |
12.1144 | 157EDT |
12.1027 | 58EDF |
12.0738 | 69ED1.618 |
12.0377 | 158EDT |
12.0000 | 100EDO |
1.0000 | 1200EDO |