Table of 198edo intervals

This table of 198edo intervals assumes 13-limit patent val ⟨198 314 460 556 685 733].

Intervals highlighted in bold are prime harmonics or subharmonics. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank. 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%, or with odd limit over 729 are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

#	Cents	5 limit	7 limit	11 limit	13 limit
0	0.00	1/1
1	6.06			385/384, 441/440, 540/539	196/195
2	12.12	?	126/125	121/120	144/143
3	18.18			99/98, 100/99	91/90, 105/104
4	24.24	81/80	64/63	"	66/65, 78/77
5	30.30			55/54, 56/55	"
6	36.36	128/125	49/48, 50/49	"	"
7	42.42			45/44	40/39
8	48.48	250/243	36/35	"	"
9	54.54			33/32	"
10	60.60	648/625	28/27	"	"
11	66.66			80/77	26/25, 27/26
12	72.72	25/24	"	"	"
13	78.78			22/21	"
14	84.84	256/243	21/20	"	"
15	90.90			539/512	96/91
16	96.96	135/128	200/189	128/121	55/52
17	103.03			35/33	52/49
18	109.09	16/15	"	"	"
19	115.15			77/72	"
20	121.21	?	15/14	"	"
21	127.27			264/245, 320/297	14/13
22	133.33	27/25	"	"	"
23	139.39			88/81	13/12
24	145.45	625/576	49/45	"	"
25	151.51			12/11	"
26	157.57	800/729	35/32	"	"
27	163.63			11/10	"
28	169.69	?	54/49	"	"
29	175.75			256/231	72/65
30	181.81	10/9	"	"	"
31	187.87			49/44	39/35
32	193.93	?	28/25	"	"
33	200.00			55/49	"
34	206.06	9/8	"	"	"
35	212.12			112/99	"
36	218.18	256/225	245/216	"	143/126, 162/143
37	224.24			25/22	"
38	230.30	729/640	8/7	"	"
39	236.36			55/48	"
40	242.42	144/125	"	"	"
41	248.48			231/200	15/13
42	254.54	125/108	81/70	"	"
43	260.60			64/55	"
44	266.66	?	7/6	"	"
45	272.72			90/77	"
46	278.78	75/64	147/125, 288/245	"	168/143
47	284.84			33/28	"
48	290.90	32/27	189/160	"	13/11
49	296.96			196/165	108/91
50	303.03	?	25/21	"	"
51	309.09			176/147	117/98, 140/117
52	315.15	6/5	"	"	"
53	321.21			77/64	65/54
54	327.27	?	98/81	"	"
55	333.33			40/33	63/52
56	339.39	243/200	175/144	147/121	"
57	345.45			11/9	39/32
58	351.51	768/625	49/40, 60/49	"	"
59	357.57			27/22	16/13
60	363.63	100/81	216/175	121/98	"
61	369.69			99/80	26/21
62	375.75	?	56/45	"	"
63	381.81			96/77	81/65, 125/78
64	387.87	5/4	"	"	"
65	393.93			44/35	49/39
66	400.00	512/405	63/50	"	"
67	406.06			125/99	91/72
68	412.12	81/64	80/63	"	33/26
69	418.18			14/11	"
70	424.24	32/25	125/98	"	"
71	430.30			77/60	50/39
72	436.36	625/486	9/7	"	"
73	442.42			128/99	84/65
74	448.48	162/125	35/27	"	"
75	454.54			100/77	13/10
76	460.60	125/96	64/49	"	"
77	466.66			55/42, 72/55	"
78	472.72	320/243	21/16	"	"
79	478.78			33/25	"
80	484.84	?	250/189	160/121	143/108, 189/143, 224/169
81	490.90			175/132	65/49
82	496.96	4/3	"	"	"
83	503.03			147/110	234/175
84	509.09	?	75/56, 168/125	"	"
85	515.15			66/49	35/26
86	521.21	27/20	"	"	"
87	527.27			110/81	65/48
88	533.33	512/375	49/36	"	"
89	539.39			15/11	"
90	545.45	1000/729	48/35	"	"
91	551.51			11/8	"
92	557.57	864/625	112/81	"	91/66
93	563.63			320/231	18/13
94	569.69	25/18	"	"	"
95	575.75			88/63	39/28
96	581.81	?	7/5	"	"
97	587.87			108/77	"
98	593.93	45/32	343/243	484/343	55/39
99	600.00			99/70, 140/99	"
100	606.06	64/45	486/343	343/242	78/55
101	612.12			77/54	"
102	618.18	?	10/7	"	"
103	624.24			63/44	56/39
104	630.30	36/25	"	"	"
105	636.36			231/160	13/9
106	642.42	625/432	81/56	"	132/91
107	648.48			16/11	"
108	654.54	729/500	35/24	"	"
109	660.60			22/15	"
110	666.66	375/256	72/49	"	"
111	672.72			81/55	96/65
112	678.78	40/27	"	"	"
113	684.84			49/33	52/35
114	690.90	?	112/75, 125/84	"	"
115	696.96			220/147	175/117
116	703.03	3/2	"	"	"
117	709.09			264/175	98/65
118	715.15	?	189/125	121/80	169/112, 216/143, 286/189
119	721.21			50/33	"
120	727.27	243/160	32/21	"	"
121	733.33			55/36, 84/55	"
122	739.39	192/125	49/32	"	"
123	745.45			77/50	20/13
124	751.51	125/81	54/35	"	"
125	757.57			99/64	65/42
126	763.63	972/625	14/9	"	"
127	769.69			120/77	39/25
128	775.75	25/16	196/125	"	"
129	781.81			11/7	"
130	787.87	128/81	63/40	"	52/33
131	793.93			198/125	144/91
132	800.00	405/256	100/63	"	"
133	806.06			35/22	"
134	812.12	8/5	"	"	"
135	818.18			77/48	125/78, 130/81
136	824.24	?	45/28	"	"
137	830.30			160/99	21/13
138	836.36	81/50	175/108	196/121	"
139	842.42			44/27	13/8
140	848.48	625/384	49/30, 80/49	"	"
141	854.54			18/11	64/39
142	860.60	400/243	288/175	242/147	"
143	866.66			33/20	104/63
144	872.72	?	81/49	"	"
145	878.78			128/77	108/65
146	884.84	5/3	"	"	"
147	890.90			147/88	117/70, 196/117
148	896.96	?	42/25	"	"
149	903.03			165/98	91/54
150	909.09	27/16	320/189	"	22/13
151	915.15			56/33	"
152	921.21	128/75	245/144, 250/147	"	143/84
153	927.27			77/45	"
154	933.33	?	12/7	"	"
155	939.39			55/32	"
156	945.45	216/125	140/81	121/70	"
157	951.51			343/198, 400/231	26/15
158	957.57	125/72	"	"	"
159	963.63			96/55	"
160	969.69	1280/729	7/4	"	"
161	975.75			44/25	"
162	981.81	225/128	432/245	"	143/81, 252/143
163	987.87			99/56	"
164	993.93	16/9	"	"	"
165	1000.00			98/55	"
166	1006.06	?	25/14	"	"
167	1012.12			88/49	70/39
168	1018.18	9/5	"	"	"
169	1024.24			231/128	65/36
170	1030.30	?	49/27	"	"
171	1036.36			20/11	"
172	1042.42	729/400	64/35	"	"
173	1048.48			11/6	"
174	1054.54	1152/625	90/49	"	"
175	1060.60			231/125	24/13
176	1066.66	50/27	"	"	"
177	1072.72			245/132	13/7
178	1078.78	?	28/15	"	"
179	1084.84			144/77	"
180	1090.90	15/8	"	"	"
181	1096.96			66/35	49/26
182	1103.03	256/135	189/100	121/64	104/55
183	1109.09			1024/539	91/48
184	1115.15	243/128	40/21	"	"
185	1121.21			21/11	"
186	1127.27	48/25	"	"	"
187	1133.33			77/40	25/13, 52/27
188	1139.39	625/324	27/14	"	"
189	1145.45			64/33	"
190	1151.51	243/125	35/18	"	"
191	1157.57			88/45	39/20
192	1163.63	125/64	49/25, 96/49	"	"
193	1169.69			55/28, 108/55	"
194	1175.75	160/81	63/32	"	65/33, 77/39
195	1181.81			99/50, 196/99	180/91, 208/105
196	1187.87	?	125/63	240/121	143/72
197	1193.93			539/270, 768/385, 880/441	195/98
198	1200.00	2/1