List of rank one temperaments by step size

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