Table of 103edo intervals

This table of 103edo intervals assumes 13-limit patent val ⟨103 163 239 289 356 381].

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

#	Cents	Marks	5-limit	7-limit	11-limit	13-limit
0	0.00	P1	1/1
1	11.650		81/80	1029/1024	2835/2816	512/507, 144/143
2	23.301		81/80	64/63	8192/8085	65/64, 78/77
3	34.951		128/125	64/63, 49/48, 50/49
4	46.602		128/125	36/35	33/32	40/39, 1053/1024, 416/405
5	58.252			28/27	33/32, 512/495	121/117
6	69.903		25/24		126/121	176/169
7	81.553		25/24, 16384/15625	21/20	22/21
8	93.204	m2	135/128	21/20	128/121, 5120/4851	96/91, 325/308
9	104.854		16/15	1225/1152, 3584/3375	1089/1024	273/256, 52/49
10	116.505		16/15	15/14	77/72
11	128.155					13/12, 14/13
12	139.806			1024/945	12/11	13/12
13	151.456				12/11, 275/252	16384/15015
14	163.107		1125/1024	35/32	11/10	100/91
15	174.757		10/9	567/512, 448/405	256/231
16	186.408		10/9		49/44
17	198.058		9/8	28/25, 18375/16384	121/108	175/156
18	209.709	M2	9/8	640/567	2048/1815	44/39
19	221.359		256/225	8/7	25/22
20	233.010		9375/8192	8/7		143/125
21	244.660		144/125	147/128		15/13
22	256.311			7/6	[64/55]], 297/256	196/169
23	267.961			7/6		2048/1755
24	279.612		75/64	288/245	33/28, 88/75, 1280/1089	169/144, 1053/896
25	291.262	m3	32/27		4096/3465	13/11, 200/169
26	302.913		32/27	25/21, 343/288		512/429, 143/120
27	314.563		6/5			2457/2048
28	326.214		6/5		77/64, 1024/847, 2475/2048	63/52, 169/140
29	337.864			175/144		39/32, 1280/1053
30	349.515			49/40, 60/49	11/9	16/13, 39/32, 175/143
31	361.165				8192/6655, 154/125	16/13, 832/675
32	372.816				96/77, 1024/825, 2541/2048, 32768/26411	26/21
33	384.466		5/4, 8192/6561			156/125
34	396.117		5/4		121/96, 44/35
35	407.767	M3	81/64		14/11
36	419.417		32/25	125/98, 32768/25725	14/11, 275/216	8192/6435, 312/245
37	431.068		32/25		77/60, 440/343	50/39
38	442.718			9/7, 1323/1024	128/99
39	454.369			64/49		13/10
40	466.019			21/16, 64/49	72/55	1089/832
41	477.670		675/512	21/16		169/128
42	489.320		4/3,	4096/3087,	512/385, 297/224	169/128, 224/169, 65/49
43	500.971	P4	4/3, 10935/8192	21875/16384	385/288, 147/110, 720/539	243/182
44	512.621		27/20	343/256, 168/125	121/90	192/143, 35/26, 3328/2475
45	524.272		27/20	256/189	693/512	65/48, 88/65
46	535.922			48/35	15/11	567/416
47	547.573			48/35	11/8
48	559.223			112/81	11/8, 243/176, 8192/5929, 2475/1792	18/13
49	570.874		25/18	7/5	245/176, 2816/2025	18/13
50	582.524	d5		7/5
51	594.175		45/32		512/363, 5775/4096	128/91, 55/39
52	605.825	A4	64/45		363/256, 78/55, 8192/5775	91/64
53	617.476			10/7
54	629.126		36/25	10/7	352/245, 2025/1408	13/9
55	640.777			81/56	16/11, 352/243, 5929/4096, 3584/2475	13/9
56	652.427			35/24	16/11
57	664.078			35/24	22/15	832/567
58	675.728		40/27	189/128	1024/693	96/65, 65/44
59	687.379		40/27	512/343, 125/84	180/121	143/96, 52/35, 2475/1664
60	699.029	P5	3/2, 16384/10935	32768/21875	576/385, 220/147, 539/360	364/243
61	710.680		3/2	3087/2048	385/256, 448/297	256/169, 169/112, 98/65
62	722.330		1024/675	32/21		256/169
63	733.981			32/21, 49/32	55/36	1664/1089
64	745.631			49/32		20/13
65	757.282			14/9, 2048/1323	99/64
66	768.932		25/16		120/77, 343/220	39/25
67	780.583		25/16	196/125, 25725/16384	11/7, 432/275	6435/4096, 245/156
68	792.233	m6	128/81		11/7
69	803.883		8/5		192/121, 35/22
70	815.534		8/5, 6561/4096			125/78
71	827.184				77/48, 825/512, 4096/2541, 26411/16384	21/13
72	838.835				6655/4096, 125/77	13/8, 675/416
73	850.485			80/49, 49/30	18/11	13/8, 64/39
74	862.136			288/175		64/39, 1053/640
75	873.786		5/3		128/77, 847/512, 4096/2475	104/63, 280/169
76	885.437		5/3			4096/2457
77	897.087		27/16	42/25, 576/343		429/256, 240/143
78	908.738	M6	27/16		3465/2048	22/13, 169/100
79	920.388		128/75	245/144	56/33, 75/44, 1089/640	288/169, 1792/1053
80	932.039			12/7		1755/1024
81	943.689			12/7	55/32, 512/297	169/98
82	955.340		125/72	256/147		26/15
83	966.990		16384/9375	7/4		250/143
84	978.641		225/128	7/4	44/25
85	990.291	m7	16/9	567/320	1815/1024	39/22
86	1001.942		16/9	25/14, 32768/18375	216/121	312/175
87	1013.592		9/5		88/49
88	1025.243		9/5	1024/567, 405/224	231/128
89	1036.893		2048/1125	64/35	20/11	91/50
90	1048.544				11/6, 504/275	15015/8192
91	1060.194			945/512	11/6	24/13
92	1071.845					24/13, 13/7
93	1083.495		15/8	28/15	144/77
94	1095.146		15/8	2304/1225, 3375/1792	2048/1089	512/273, 49/26
95	1106.796	M7	256/135	40/21	121/64, 4851/2560	91/48, 616/325
96	1118.447		48/25, 15625/8192	40/21	21/11
97	1130.097		48/25		121/63	169/88
98	1141.748			27/14	64/33, 495/256	234/121
99	1153.398		125/64	35/18	64/33	39/20, 2048/1053, 405/208
100	1165.049		125/64	63/32, 96/49, 49/25
101	1176.699		160/81	63/32	8085/4096	128/65, 77/39
102	1188.350		160/81	2048/1029	5632/2835	507/256, 143/72
103	1200.000	P8	2/1