Table of 159edo Intervals

This table assumes 17-limit patent val <159 252 369 446 550 588 650|. Intervals highlighted in bold are prime harmonics or subharmonics, while other well-known intervals will likely have links to their respective pages. In addition, intervals that differ from the nearest step by more than 3.5 cents will be in italics, while intervals that differ from assigned steps by a rate of 50% or more, multiples of such intervals, or else, intervals that have an odd limit higher than 1024, will not be included in the chart at all. Furthermore, when multiple well-known intervals for a given prime-limit share a step size, they may share a cell in the chart; conversely, while a "?" in the chart means that no known interval meets the criteria for inclusion, and multiple adjacent cells of this type within the same row are likely to be conjoined.

Step	Cents	5 limit	7 limit	11 limit	13 limit	17 limit
0	0	1/1
1	7.5471698	?	225/224	243/242	351/350	256/255
2	15.0943396	?		121/120, 100/99	144/143	120/119
3	22.6415094	81/80			78/77	85/84
4	30.1886792	?	64/63	56/55, 55/54		52/51
5	37.7358491	?		45/44		51/50
6	45.2830189	?			40/39	192/187
7	52.8301887	?		33/32		34/33
8	60.3773585	?	28/27	729/704
9	67.9245283	25/24			26/25, 27/26
10	75.4716981	?				160/153
11	83.0188679	?	21/20	22/21
12	90.5660377	256/243, 135/128
13	98.1132075	?		128/121		18/17
14	105.6603774	?				17/16
15	113.2075472	16/15
16	120.7547170	?	15/14
17	128.3018868	?			14/13	128/119
18	135.8490566	27/25			13/12
19	143.3962264	?		88/81
20	150.9433962	?		12/11
21	158.4905660	?			128/117	561/512, 1024/935
22	166.0377358	?		11/10
23	173.5849057	?	567/512	243/220		425/384
24	181.1320755	10/9		256/231
25	188.6792458	?			143/128	512/459
26	196.2264151	?	28/25
27	203.7735849	9/8
28	211.3207547	?				289/256
29	218.8679245	?				17/15
30	226.4150943	256/225
31	233.9622642	?	8/7	55/48
32	241.5094340	?		1024/891
33	249.0566038	?			15/13
34	256.6037736	?		297/256
35	264.1509434	?	7/6	64/55
36	271.6981132	75/64
37	279.2452830	?				20/17
38	286.7924528	?		33/28	13/11	85/72
39	294.3396226	32/27
40	301.8867925	?	25/21
41	309.4339622	?			512/429	153/128
42	316.9811321	6/5		77/64
43	324.5283019	?				512/425
44	332.0754717	?				144/119, 165/136
45	339.6226415	?			39/32
46	347.1698113	?		11/9
47	354.7169811	?		27/22
48	362.2641509	?			16/13
49	369.8113208	?				68/55
50	377.3584906	?		1024/825
51	384.9056604	5/4		96/77
52	392.4528302	?				64/51
53	400	?	63/50
54	407.5471698	81/64
55	415.0943396	?		14/11	33/26	108/85
56	422.6415094	?				51/40
57	430.1886792	32/25
58	437.7358491	?	9/7	165/128
59	445.2830189	?		128/99
60	452.8301887	?			13/10
61	460.3773585	?		176/135
62	467.9245283	?	21/16
63	475.4716981	320/243, 675/512
64	483.0188679	?		33/25
65	490.5660377	?				85/64
66	498.1132075	4/3