Table of 270edo intervals

This table of 270edo intervals assumes the 13-limit patent val of 270edo ⟨270 428 647 758 934 999]. Prime harmonics are in bold.

Step	Cents	Marks	5-limit	7-limit	11-limit	13-limit
0	0.0	P1	1/1	"	"	"
1	4.4		32805/32768	3136/3125	385/384	325/324
2	8.8		15625/15552	225/224	176/175	169/168
3	13.3		78732/78125	126/125	121/120	"
4	17.7		2048/2025	"	99/98	91/90
5	22.2		81/80	"	"	78/77
6	26.6		20000/19683	64/63	"	"
7	31.1		3125/3072	"	55/54	"
8	35.5		1594323/1562500	49/48	"	"
9	40.0		128/125	"	45/44	"
10	44.4		6561/6400	525/512	77/75	40/39
11	48.8		250/243	36/35	"	"
12	53.3		16875/16384	4096/3969	33/32	"
13	57.7		262144/253125	405/392	125/121	91/88
14	62.2		648/625	28/27	"	"
15	66.6		20480/19683	8192/7875	80/77	26/25
16	71.1		25/24	"	"	"
17	75.5		273375/262144	256/245	"	117/112
18	80.0		16384/15625	1875/1792	22/21	"
19	84.4		6561/6250	21/20	"	"
20	88.8	m2	256/243	"	81/77	"
21	93.3		135/128	"	132/125	96/91
22	97.7		62500/59049	200/189	128/121	55/52
23	102.2		78125/73728	3584/3375	35/33	"
24	106.6		524288/492075	625/588	"	117/110
25	111.1		16/15	"	"	"
26	115.5		2187/2048	"	77/72	"
27	120.0		3125/2916	15/14	"	"
28	124.4		140625/131072	672/625	189/176	130/121
29	128.8		32768/30375	2205/2048	264/245	14/13
30	133.3		27/25	"	"	"
31	137.7		64000/59049	1024/945	250/231	13/12
32	142.2		625/576	243/224	88/81	"
33	146.6		2125764/1953125	49/45	"	"
34	151.1		2048/1875	"	12/11	"
35	155.5		2187/2000	35/32	"	"
36	160.0		800/729	192/175	"	169/154
37	164.4		1125/1024	"	11/10	"
38	168.8		390625/354294	54/49	"	"
39	173.3		3456/3125	448/405	243/220	"
40	177.7		65536/59049	567/512	256/231	72/65
41	182.2		10/9	"	"	"
42	186.6		18225/16384	4096/3675	49/44	39/35
43	191.1		78125/69984	125/112	"	"
44	195.5		17496/15625	28/25	"	"
45	200.0		4096/3645	"	55/49	"
46	204.4	M2	9/8	"	"	"
47	208.8		200000/177147	640/567	"	44/39
48	213.3		15625/13824	2025/1792	112/99	"
49	217.7		177147/156250	245/216	"	143/126
50	222.2		256/225	"	25/22	"
51	226.6		729/640	"	154/135	"
52	231.1		2500/2187	8/7	"	"
53	235.5		9375/8192	3584/3125	55/48	"
54	240.0		524288/455625	147/128	"	"
55	244.4		144/125	"	121/105	"
56	248.8		59049/51200	4725/4096	231/200	15/13
57	253.3		125/108	81/70	"	"
58	257.7		151875/131072	512/441	297/256	65/56
59	262.2		32768/28125	3125/2688	64/55	"
60	266.6		729/625	7/6	"	"
61	271.1		2560/2187	1024/875	90/77	"
62	275.5		75/64	"	"	"
63	280.0		625000/531441	147/125	"	"
64	284.4		18432/15625	7168/6075	33/28	"
65	288.8		59049/50000	189/160	"	13/11
66	293.3	m3	32/27	"	"	"
67	297.7		1215/1024	"	196/165	108/91
68	302.2		15625/13122	25/21	"	"
69	306.6		78125/65536	448/375	105/88	"
70	311.1		65536/54675	1225/1024	176/147	140/117
71	315.5		6/5	"	"	"
72	320.0		19683/16384	2048/1701	77/64	65/54
73	324.4		3125/2592	135/112	"	"
74	328.8		472392/390625	98/81	"	"
75	333.3		4096/3375	"	40/33	"
76	337.7		243/200	175/144	147/121	"
77	342.2		8000/6561	128/105	"	39/32
78	346.6		625/512	"	11/9	"
79	351.1		1953125/1594323	49/40	"	"
80	355.5		768/625	"	27/22	"
81	360.0		19683/16000	315/256	154/125	16/13
82	364.4		100/81	"	"	"
83	368.8		10125/8192	8192/6615	99/80	26/21
84	373.3		390625/314928	243/196	150/121	"
85	377.7		3888/3125	56/45	"	"
86	382.2		8192/6561	5103/4096	96/77	81/65
87	386.6		5/4	"	"	"
88	391.1		164025/131072	784/625	441/352	351/280
89	395.5		78125/62208	1125/896	44/35	"
90	400.0		19683/15625	63/50	"	"
91	404.4		512/405	"	125/99	91/72
92	408.8	M3	81/64	"	"	"
93	412.2		25000/19683	80/63	"	33/26
94	417.7		15625/12288	7168/5625	14/11	"
95	422.2		1048576/820125	125/98	"	"
96	426.6		32/25	"	"	"
97	431.1		6561/5120	2625/2048	77/60	50/39
98	435.5		625/486	9/7	"	"
99	440.0		84375/65536	1568/1215	165/128	156/121
100	444.4		65536/50625	1323/1024	128/99	84/65
101	448.8		162/125	35/27	"	"
102	453.3		25600/19683	2048/1575	100/77	13/10
103	457.7		125/96	"	"	"
104	462.2		1366875/1048576	64/49	"	"
105	466.6		4096/3125	"	55/42	"
106	471.1		6561/5000	21/16	"	"
107	475.5		320/243	"	"	154/117
108	480.0		675/512	"	33/25	"
109	484.4		78125/59049	250/189	160/121	143/108
110	488.8		20736/15625	896/675	175/132	65/49
111	493.3		131072/98415	1701/1280	512/385	117/88
112	497.7	P4	4/3	"	"	"
113	502.2		10935/8192	8192/6125	147/110	"
114	506.6		15625/11664	75/56	"	"
115	511.1		104976/78125	168/125	121/90	"
116	515.5		8192/6075	"	66/49	35/26
117	520.0		27/20	"	"	"
118	524.4		80000/59049	256/189	"	65/48
119	528.8		3125/2304	1215/896	110/81	"
120	533.3		531441/390625	49/36	"	"
121	537.7		512/375	"	15/11	"
122	542.2		2187/1600	175/128	"	160/117
123	546.6		1000/729	48/35	"	"
124	551.1		5625/4096	"	11/8	"
125	555.5		1048576/759375	135/98	"	91/66
126	560.0		864/625	112/81	"	"
127	564.4		81920/59049	2835/2048	320/231	18/13
128	568.8		25/18	"	"	"
129	573.3		91125/65536	1024/735	245/176	39/28
130	577.7		65536/46875	625/448	88/63	"
131	582.2		4374/3125	7/5	"	"
132	586.6	d5	1024/729	"	108/77	"
133	591.1		45/32	"	"	"
134	595.5		250000/177147	343/243	"	55/39
135	600.0		78125/55296	10125/7168	99/70	"
136	604.4		177147/125000	486/343	343/242	78/55
137	608.8		64/45	"	"	"
138	613.3	A4	729/512	"	77/54	"
139	617.7		3125/2187	10/7	"	"
140	622.2		46875/32768	896/625	63/44	"
141	626.6		131072/91125	735/512	352/245	56/39
142	631.1		36/25	"	"	"
143	635.5		59049/40960	4096/2835	231/160	13/9
144	640.0		625/432	81/56	"	"
145	644.4		759375/524288	196/135	"	132/91
146	648.8		8192/5625	"	16/11	"
147	653.3		729/500	35/24	"	"
148	657.7		3200/2187	256/175	225/154	117/80
149	662.2		375/256	"	22/15	"
150	666.6		781250/531441	72/49	"	"
151	671.1		4608/3125	1792/1215	81/55	"
152	675.5		59049/40000	189/128	"	65/44
153	680.0		40/27	"	"	"
154	684.4		6075/4096	"	49/33	"
155	688.8		78125/52488	125/84	"	"
156	693.3		23328/15625	112/75	"	"
157	697.7		16384/10935	6125/4096	220/147	175/117
158	702.2	P5	3/2	"	"	"
159	706.6		98415/65536	2560/1701	385/256	176/117
160	711.1		15625/10368	675/448	264/175	98/65
161	715.5		118098/78125	189/125	121/80	"
162	720.0		1024/675	"	50/33	"
163	724.4		243/160	"	"	117/77
164	728.8		10000/6561	32/21	"	"
165	733.3		3125/2048	"	55/36	"
166	737.7		2097152/1366875	49/32	"	"
167	742.2		192/125	"	135/88	"
168	746.6		19683/12800	1575/1024	77/50	20/13
169	751.1		125/81	54/35	"	"
170	755.5		50625/32768	2048/1323	99/64	65/42
171	760.0		131072/84375	1215/784	256/165	121/78
172	764.4		972/625	14/9	"	"
173	768.8		10240/6561	4096/2625	120/77	39/25
174	773.3		25/16	"	"	"
175	777.7		820125/524288	196/125	"	"
176	782.2		24576/15625	5625/3584	11/7	"
177	786.6		19683/12500	63/40	"	52/33
178	791.1	m6	128/81	"	"	"
179	795.5		405/256	"	198/125	144/91
180	800.0		31250/19683	100/63	"	"
181	804.4		78125/49152	1792/1125	35/22	"
182	808.8		262144/164025	625/392	"	351/220
183	813.3		8/5	"	"	"
184	817.7		6561/4096	"	77/48	"
185	822.2		3125/1944	45/28	"	"
186	826.6		421875/262144	392/243	121/75	"
187	831.1		16384/10125	6615/4096	160/99	21/13
188	835.5		81/50	"	"	"
189	840.0		32000/19683	512/315	125/77	13/8
190	844.4		625/384	"	44/27	"
191	848.8		3188646/1953125	49/30	"	"
192	853.3		1024/625	"	18/11	"
193	857.7		6561/4000	105/64	"	64/39
194	862.2		400/243	288/175	242/147	"
195	866.6		3375/2048	"	33/20	"
196	871.1		390625/236196	81/49	"	"
197	875.5		5184/3125	224/135	"	"
198	880.0		32768/19683	1701/1024	128/77	108/65
199	884.4		5/3	"	"	"
200	888.8		54675/32768	2048/1225	147/88	117/70
201	893.3		78125/46656	375/224	176/105	"
202	897.7		26244/15625	42/25	"	"
203	902.2		2048/1215	"	165/98	91/54
204	906.6	M6	27/16	"	"	"
205	911.1		100000/59049	320/189	"	22/13
206	915.5		15625/9216	6075/3584	56/33	"
207	920.0		531441/312500	245/144	"	143/84
208	924.4		128/75	"	75/44	"
209	928.8		2187/1280	875/512	77/45	"
210	933.3		1250/729	12/7	"	"
211	937.7		28125/16384	5376/3125	55/32	"
212	942.2		262144/151875	441/256	"	112/65
213	946.6		216/125	140/81	121/70	"
214	951.1		102400/59049	8192/4725	343/198	26/15
215	955.5		125/72	"	"	"
216	960.0		455625/262144	256/147	"	195/112
217	964.4		16384/9375	3125/1792	96/55	"
218	968.8		2187/1250	7/4	"	"
219	973.3		1280/729	"	135/77	"
220	977.7		225/128	"	44/25	"
221	982.2		312500/177147	432/245	"	143/81
222	986.6		27648/15625	3584/2025	99/56	"
223	991.1		177147/100000	567/320	"	39/22
224	995.5	m7	16/9	"	"	"
225	1000.0		3645/2048	"	98/55	"
226	1004.4		15625/8748	25/14	"	"
227	1008.8		139968/78125	224/125	"	"
228	1013.3		32768/18225	3675/2048	88/49	70/39
229	1017.7		9/5	"	"	"
230	1022.2		59049/32768	1024/567	231/128	65/36
231	1026.6		3125/1728	405/224	"	"
232	1031.1		708588/390625	49/27	"	"
233	1035.5		2048/1125	"	20/11	"
234	1040.0		729/400	175/96	"	"
235	1044.4		4000/2187	64/35	"	"
236	1048.8		1875/1024	"	11/6	"
237	1053.3		1953125/1062882	90/49	"	"
238	1057.7		1152/625	448/243	81/44	"
239	1062.2		59049/32000	945/512	231/125	24/13
240	1066.6		50/27	"	"	"
241	1071.1		30375/16384	4096/2205	245/132	13/7
242	1075.5		262144/140625	625/336	225/121	121/65
243	1080.0		5832/3125	28/15	"	"
244	1084.4		4096/2187	"	144/77	"
245	1088.8		15/8	"	"	"
246	1093.3		492075/262144	1176/625	847/450	220/117
247	1097.7		78125/41472	3375/1792	66/35	49/26
248	1102.2		59049/31250	189/100	121/64	104/55
249	1106.6		256/135	"	125/66	91/48
250	1111.1	M7	243/128	"	154/81	"
251	1115.5		12500/6561	40/21	"	"
252	1120.0		15625/8192	3584/1875	21/11	"
253	1124.4		524288/273375	245/128	"	224/117
254	1128.8		48/25	"	"	"
255	1133.3		19683/10240	7875/4096	77/40	25/13
256	1137.7		625/324	27/14	"	"
257	1142.2		253125/131072	784/405	242/125	176/91
258	1147.7		32768/16875	3969/2048	64/33	"
259	1151.1		243/125	35/18	"	"
260	1155.5		12800/6561	1024/525	150/77	39/20
261	1160.0		125/64	"	88/45	"
262	1164.4		3125000/1594323	49/25	"	"
263	1168.8		6144/3125	"	55/28	"
264	1173.3		19683/10000	63/32	"	"
265	1177.7		160/81	"	"	77/39
266	1182.2		2025/1024	"	99/50	"
267	1186.6		78125/39366	125/63	"	"
268	1191.1		31104/15625	448/225	175/88	"
269	1195.5		65536/32805	3125/1568	768/385	648/325
270	1200.0	P8	2/1	"	"	"