| Cents
|
Rank-1 temperament
|
| 10877.6643
|
1EDZ (e2π (exp(2*pi), "zetave"), 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
|