List of rank one temperaments by step size
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| 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 |