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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
1ED1.5 (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
2ED1.5
316.9925
6EDT
300.0000
4EDO
277.6968
3ED1.618
271.7079
7EDT
240.0000
5EDO
237.7444
8EDT
233.9850
3ED1.5
211.3283
9EDT
208.2726
4ED1.618
200.0000
6EDO
190.1955
10EDT
175.4888
4ED1.5 (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
5ED1.5
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
6ED1.5
111.8797
17EDT
109.0909
11EDO
105.6642
18EDT
104.1363
8ED1.618
100.2793
7ED1.5
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
8ED1.5
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, 9ED1.5)
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
10ED1.5
69.4242
12ED1.618
67.9270
28EDT
66.6667
18EDO
65.5847
29EDT
64.0839
13ED1.618
63.8141
Carlos beta (that is, 11ED1.5)
63.3985
30EDT
63.1579
19EDO
61.3534
31EDT
60.0000
20EDO
59.5064
14ED1.618
59.4361
32EDT
58.4963
12ED1.5
57.6350
33EDT
57.1429
21EDO
55.9399
34EDT
55.5394
15ED1.618
54.5455
22EDO
54.3416
35EDT
53.9965
13ED1.5
52.8321
36EDT
52.1739
23EDO
52.0681
16ED1.618
51.4042
37EDT
50.1396
14ED1.5
50.0514
38EDT
50.0000
24EDO
49.0053
17ED1.618
48.7681
39EDT
48.0000
25EDO
47.5489
40EDT
46.7970
15ED1.5
46.3891
41EDT
46.2828
18ED1.618
46.1538
26EDO
45.2846
42EDT
44.4444
27EDO
44.2315
43EDT
43.8722
16ED1.5
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
17ED1.5
40.4671
47EDT
40.0000
30EDO
39.6710
21ED1.618
39.6241
48EDT
38.9975
18ED1.5
38.8154
49EDT
38.7097
31EDO
38.0391
50EDT
37.8677
22ED1.618
37.5000
32EDO
37.2932
51EDT
36.9450
19ED1.5
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, 20ED1.5)
34.7121
24ED1.618
34.5810
55EDT
34.2857
35EDO
33.9635
56EDT
33.4264
21ED1.5
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
22ED1.5
31.6993
60EDT
31.5789
38EDO
31.1796
61EDT
30.8552
27ED1.618
30.7692
39EDO
30.6767
62EDT
30.5198
23ED1.5
30.1898
63EDT
30.0000
40EDO
29.7532
28ED1.618
29.7180
64EDT
29.2683
41EDO
29.2608
65EDT
29.2481
24ED1.5
28.8175
66EDT
28.7273
29ED1.618
28.5714
42EDO
28.3874
67EDT
28.0782
25ED1.5
27.9699
68EDT
27.9070
43EDO
27.7697
30ED1.618
27.5646
69EDT
27.2727
44EDO
27.1708
70EDT
26.9983
26ED1.5
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
27ED1.5
25.7021
74EDT
25.5319
47EDO
25.3594
75EDT
25.2452
33ED1.618
25.0698
28ED1.5
25.0257
76EDT
25.0000
48EDO
24.7007
77EDT
24.5027
34ED1.618
24.4898
49EDO
24.3840
78EDT
24.2053
29ED1.5
24.0754
79EDT
24.0000
50EDO
23.8026
35ED1.618
23.7744
80EDT
23.5294
51EDO
23.4809
81EDT
23.3985
30ED1.5
23.1946
82EDT
23.1414
36ED1.618
23.0769
52EDO
22.9151
83EDT
22.6437
31ED1.5
22.6423
84EDT
22.6415
53EDO
22.5160
37ED1.618
22.3759
85EDT
22.2222
54EDO
22.1158
86EDT
21.9361
32ED1.5
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
33ED1.5
21.1328
90EDT
21.0526
57EDO
20.9006
91EDT
20.8273
40ED1.618
20.6897
58EDO
20.6734
92EDT
20.6457
34ED1.5
20.4511
93EDT
20.3390
59EDO
20.3193
41ED1.618
20.2336
94EDT
20.0559
35ED1.5
20.0206
95EDT
20.0000
60EDO
19.8355
42ED1.618
19.8120
96EDT
19.6721
61EDO
19.6078
97EDT
19.4988
36ED1.5
19.4077
98EDT
19.3742
43ED1.618
19.3548
62EDO
19.2117
99EDT
19.0476
63EDO
19.0196
100EDT
18.9718
37ED1.5
18.9339
44ED1.618
18.8312
101EDT
18.7500
64EDO
18.6466
102EDT
18.5131
45ED1.618
18.4725
38ED1.5
18.4656
103EDT
18.4615
65EDO
18.2880
104EDT
18.1818
66EDO
18.1139
105EDT
18.1107
46ED1.618
17.9988
39ED1.5
17.9430
106EDT
17.9104
67EDO
17.7753
107EDT
17.7253
47ED1.618
17.6471
68EDO
17.6107
108EDT
17.5489
40ED1.5
17.4491
109EDT
17.3913
69EDO
17.3560
48ED1.618
17.2905
110EDT
17.1429
70EDO
17.1347
111EDT
17.1209
41ED1.5
17.0018
49ED1.618
16.9817
112EDT
16.9014
71EDO
16.8315
113EDT
16.7132
42ED1.5
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
43ED1.5
16.2560
117EDT
16.2162
74EDO
16.1183
118EDT
16.0210
52ED1.618
16.0000
75EDO
15.9828
119EDT
15.9535
44ED1.5
15.8496
120EDT
15.7895
76EDO
15.7187
53ED1.618
15.7186
121EDT
15.5990
45ED1.5
15.5898
122EDT
15.5844
77EDO
15.4630
123EDT
15.4276
54ED1.618
15.3846
78EDO
15.3383
124EDT
15.2599
46ED1.5
15.2156
125EDT
15.1899
79EDO
15.1471
55ED1.618
15.0949
126EDT
15.0000
80EDO
14.9760
127EDT
14.9352
47ED1.5
14.8766
56ED1.618
14.8590
128EDT
14.8148
81EDO
14.7438
129EDT
14.6341
82EDO
14.6304
130EDT
14.6241
48ED1.5
14.6156
57ED1.618
14.5187
131EDT
14.4578
83EDO
14.4088
132EDT
14.3636
58ED1.618
14.3256
49ED1.5
14.3004
133EDT
14.2857
84EDO
14.1937
134EDT
14.1202
59ED1.618
14.1176
85EDO
14.0886
135EDT
14.0391
50ED1.5
13.9850
136EDT
13.9535
86EDO
13.8848
60ED1.618
13.8829
137EDT
13.7931
87EDO
13.7823
138EDT
13.7638
51ED1.5
13.6831
139EDT
13.6572
61ED1.618
13.6364
88EDO
13.5854
140EDT
13.4991
52ED1.5
13.4890
141EDT
13.4831
89EDO
13.4369
62ED1.618
13.3940
142EDT
13.3333
90EDO
13.3004
143EDT
13.2444
53ED1.5
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
54ED1.5
12.9385
147EDT
12.9032
93EDO
12.8510
148EDT
12.8168
65ED1.618
12.7660
94EDO
12.7648
149EDT
12.7628
55ED1.5
12.6797
150EDT
12.6316
95EDO
12.6226
66ED1.618
12.5957
151EDT
12.5349
56ED1.5
12.5129
152EDT
12.5000
96EDO
12.4342
67ED1.618
12.4311
153EDT
12.3711
97EDO
12.3504
154EDT
12.3150
57ED1.5
12.2707
155EDT
12.2513
68ED1.618
12.2449
98EDO
12.1920
156EDT
12.1212
99EDO
12.1144
157EDT
12.1027
58ED1.5
12.0738
69ED1.618
12.0377
158EDT
12.0000
100EDO
1.0000
1200EDO