245edo

← 244edo

245edo

246edo →

Prime factorization	5 × 72
Step size	4.89796 ¢
Fifth	143\245 (700.408 ¢)
Semitones (A1:m2)	21:20 (102.9 ¢ : 97.96 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

245edo is only consistent to the 5-odd-limit. The equal temperament tempers out [-17 21 -7⟩ and [19 10 -15⟩ in the 5-limit; 6144/6125 and 16875/16807 in the 7-limit; 441/440, 4000/3993, 6912/6875, 14700/14641, 30375/30184 and 54675/54208 in the 11-limit.

Intervals

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	4.9		^D, ^^E♭♭
2	9.8		^^D, ^3E♭♭
3	14.69		^3D, ^4E♭♭
4	19.59		^4D, ^5E♭♭
5	24.49	69/68	^5D, ^6E♭♭
6	29.39	58/57	^6D, ^7E♭♭
7	34.29	50/49	^7D, ^8E♭♭
8	39.18		^8D, ^9E♭♭
9	44.08	40/39	^9D, ^10E♭♭
10	48.98		^10D, v10E♭
11	53.88	33/32	v10D♯, v9E♭
12	58.78	30/29	v9D♯, v8E♭
13	63.67		v8D♯, v7E♭
14	68.57	26/25	v7D♯, v6E♭
15	73.47	24/23	v6D♯, v5E♭
16	78.37	45/43	v5D♯, v4E♭
17	83.27		v4D♯, v3E♭
18	88.16	20/19	v3D♯, vvE♭
19	93.06		vvD♯, vE♭
20	97.96	55/52	vD♯, E♭
21	102.86	52/49	D♯, ^E♭
22	107.76	33/31, 50/47	^D♯, ^^E♭
23	112.65		^^D♯, ^3E♭
24	117.55	46/43	^3D♯, ^4E♭
25	122.45	44/41	^4D♯, ^5E♭
26	127.35		^5D♯, ^6E♭
27	132.24	41/38, 68/63	^6D♯, ^7E♭
28	137.14		^7D♯, ^8E♭
29	142.04	38/35	^8D♯, ^9E♭
30	146.94	37/34	^9D♯, ^10E♭
31	151.84		^10D♯, v10E
32	156.73	23/21	v10D𝄪, v9E
33	161.63		v9D𝄪, v8E
34	166.53		v8D𝄪, v7E
35	171.43		v7D𝄪, v6E
36	176.33	31/28	v6D𝄪, v5E
37	181.22		v5D𝄪, v4E
38	186.12	49/44	v4D𝄪, v3E
39	191.02	48/43	v3D𝄪, vvE
40	195.92	28/25	vvD𝄪, vE
41	200.82	55/49, 64/57	E
42	205.71		^E, ^^F♭
43	210.61	35/31	^^E, ^3F♭
44	215.51		^3E, ^4F♭
45	220.41		^4E, ^5F♭
46	225.31		^5E, ^6F♭
47	230.2		^6E, ^7F♭
48	235.1		^7E, ^8F♭
49	240		^8E, ^9F♭
50	244.9	38/33	^9E, ^10F♭
51	249.8		^10E, v10F
52	254.69		v10E♯, v9F
53	259.59	43/37	v9E♯, v8F
54	264.49		v8E♯, v7F
55	269.39		v7E♯, v6F
56	274.29	41/35, 75/64	v6E♯, v5F
57	279.18	47/40, 74/63	v5E♯, v4F
58	284.08	33/28	v4E♯, v3F
59	288.98	13/11	v3E♯, vvF
60	293.88	77/65	vvE♯, vF
61	298.78		F
62	303.67	31/26, 56/47	^F, ^^G♭♭
63	308.57	49/41	^^F, ^3G♭♭
64	313.47		^3F, ^4G♭♭
65	318.37		^4F, ^5G♭♭
66	323.27	47/39	^5F, ^6G♭♭
67	328.16	29/24	^6F, ^7G♭♭
68	333.06	40/33	^7F, ^8G♭♭
69	337.96		^8F, ^9G♭♭
70	342.86	39/32, 50/41	^9F, ^10G♭♭
71	347.76		^10F, v10G♭
72	352.65	38/31	v10F♯, v9G♭
73	357.55		v9F♯, v8G♭
74	362.45	37/30	v8F♯, v7G♭
75	367.35	47/38	v7F♯, v6G♭
76	372.24	31/25	v6F♯, v5G♭
77	377.14	46/37	v5F♯, v4G♭
78	382.04		v4F♯, v3G♭
79	386.94	5/4	v3F♯, vvG♭
80	391.84		vvF♯, vG♭
81	396.73	39/31, 44/35	vF♯, G♭
82	401.63	29/23	F♯, ^G♭
83	406.53	43/34, 62/49	^F♯, ^^G♭
84	411.43	52/41	^^F♯, ^3G♭
85	416.33		^3F♯, ^4G♭
86	421.22	37/29	^4F♯, ^5G♭
87	426.12		^5F♯, ^6G♭
88	431.02		^6F♯, ^7G♭
89	435.92		^7F♯, ^8G♭
90	440.82	40/31, 49/38	^8F♯, ^9G♭
91	445.71	75/58	^9F♯, ^10G♭
92	450.61	48/37	^10F♯, v10G
93	455.51		v10F𝄪, v9G
94	460.41	30/23	v9F𝄪, v8G
95	465.31		v8F𝄪, v7G
96	470.2	21/16	v7F𝄪, v6G
97	475.1	25/19	v6F𝄪, v5G
98	480	33/25, 62/47	v5F𝄪, v4G
99	484.9	41/31, 45/34	v4F𝄪, v3G
100	489.8	65/49	v3F𝄪, vvG
101	494.69		vvF𝄪, vG
102	499.59		G
103	504.49		^G, ^^A♭♭
104	509.39	55/41	^^G, ^3A♭♭
105	514.29	35/26	^3G, ^4A♭♭
106	519.18		^4G, ^5A♭♭
107	524.08	23/17	^5G, ^6A♭♭
108	528.98	19/14	^6G, ^7A♭♭
109	533.88	64/47	^7G, ^8A♭♭
110	538.78		^8G, ^9A♭♭
111	543.67	26/19, 63/46	^9G, ^10A♭♭
112	548.57		^10G, v10A♭
113	553.47		v10G♯, v9A♭
114	558.37	29/21	v9G♯, v8A♭
115	563.27		v8G♯, v7A♭
116	568.16		v7G♯, v6A♭
117	573.06	39/28	v6G♯, v5A♭
118	577.96		v5G♯, v4A♭
119	582.86	7/5	v4G♯, v3A♭
120	587.76	66/47	v3G♯, vvA♭
121	592.65		vvG♯, vA♭
122	597.55	24/17	vG♯, A♭
123	602.45	17/12	G♯, ^A♭
124	607.35		^G♯, ^^A♭
125	612.24	47/33	^^G♯, ^3A♭
126	617.14	10/7	^3G♯, ^4A♭
127	622.04		^4G♯, ^5A♭
128	626.94	56/39	^5G♯, ^6A♭
129	631.84		^6G♯, ^7A♭
130	636.73		^7G♯, ^8A♭
131	641.63	42/29	^8G♯, ^9A♭
132	646.53		^9G♯, ^10A♭
133	651.43		^10G♯, v10A
134	656.33	19/13	v10G𝄪, v9A
135	661.22	63/43	v9G𝄪, v8A
136	666.12	47/32	v8G𝄪, v7A
137	671.02	28/19	v7G𝄪, v6A
138	675.92	34/23, 65/44	v6G𝄪, v5A
139	680.82		v5G𝄪, v4A
140	685.71	52/35	v4G𝄪, v3A
141	690.61		v3G𝄪, vvA
142	695.51		vvG𝄪, vA
143	700.41		A
144	705.31		^A, ^^B♭♭
145	710.2		^^A, ^3B♭♭
146	715.1	62/41, 68/45	^3A, ^4B♭♭
147	720	47/31, 50/33	^4A, ^5B♭♭
148	724.9	38/25	^5A, ^6B♭♭
149	729.8	32/21	^6A, ^7B♭♭
150	734.69		^7A, ^8B♭♭
151	739.59	23/15	^8A, ^9B♭♭
152	744.49		^9A, ^10B♭♭
153	749.39	37/24	^10A, v10B♭
154	754.29		v10A♯, v9B♭
155	759.18	31/20, 76/49	v9A♯, v8B♭
156	764.08		v8A♯, v7B♭
157	768.98		v7A♯, v6B♭
158	773.88		v6A♯, v5B♭
159	778.78	58/37	v5A♯, v4B♭
160	783.67		v4A♯, v3B♭
161	788.57	41/26	v3A♯, vvB♭
162	793.47	49/31, 68/43	vvA♯, vB♭
163	798.37	46/29, 65/41	vA♯, B♭
164	803.27	35/22, 62/39	A♯, ^B♭
165	808.16		^A♯, ^^B♭
166	813.06	8/5	^^A♯, ^3B♭
167	817.96	69/43	^3A♯, ^4B♭
168	822.86	37/23	^4A♯, ^5B♭
169	827.76	50/31	^5A♯, ^6B♭
170	832.65	76/47	^6A♯, ^7B♭
171	837.55	60/37	^7A♯, ^8B♭
172	842.45		^8A♯, ^9B♭
173	847.35	31/19	^9A♯, ^10B♭
174	852.24		^10A♯, v10B
175	857.14	41/25, 64/39	v10A𝄪, v9B
176	862.04		v9A𝄪, v8B
177	866.94	33/20	v8A𝄪, v7B
178	871.84	48/29	v7A𝄪, v6B
179	876.73	78/47	v6A𝄪, v5B
180	881.63		v5A𝄪, v4B
181	886.53		v4A𝄪, v3B
182	891.43		v3A𝄪, vvB
183	896.33	47/28, 52/31	vvA𝄪, vB
184	901.22		B
185	906.12		^B, ^^C♭
186	911.02	22/13	^^B, ^3C♭
187	915.92	56/33	^3B, ^4C♭
188	920.82	63/37, 80/47	^4B, ^5C♭
189	925.71	70/41	^5B, ^6C♭
190	930.61		^6B, ^7C♭
191	935.51		^7B, ^8C♭
192	940.41	74/43	^8B, ^9C♭
193	945.31		^9B, ^10C♭
194	950.2		^10B, v10C
195	955.1	33/19	v10B♯, v9C
196	960		v9B♯, v8C
197	964.9		v8B♯, v7C
198	969.8		v7B♯, v6C
199	974.69		v6B♯, v5C
200	979.59		v5B♯, v4C
201	984.49		v4B♯, v3C
202	989.39	62/35	v3B♯, vvC
203	994.29		vvB♯, vC
204	999.18	57/32	C
205	1004.08	25/14	^C, ^^D♭♭
206	1008.98	43/24	^^C, ^3D♭♭
207	1013.88		^3C, ^4D♭♭
208	1018.78		^4C, ^5D♭♭
209	1023.67	56/31	^5C, ^6D♭♭
210	1028.57		^6C, ^7D♭♭
211	1033.47		^7C, ^8D♭♭
212	1038.37		^8C, ^9D♭♭
213	1043.27	42/23	^9C, ^10D♭♭
214	1048.16		^10C, v10D♭
215	1053.06	68/37	v10C♯, v9D♭
216	1057.96	35/19	v9C♯, v8D♭
217	1062.86		v8C♯, v7D♭
218	1067.76	63/34, 76/41	v7C♯, v6D♭
219	1072.65		v6C♯, v5D♭
220	1077.55	41/22	v5C♯, v4D♭
221	1082.45	43/23	v4C♯, v3D♭
222	1087.35		v3C♯, vvD♭
223	1092.24	47/25, 62/33	vvC♯, vD♭
224	1097.14	49/26	vC♯, D♭
225	1102.04		C♯, ^D♭
226	1106.94		^C♯, ^^D♭
227	1111.84	19/10	^^C♯, ^3D♭
228	1116.73		^3C♯, ^4D♭
229	1121.63		^4C♯, ^5D♭
230	1126.53	23/12	^5C♯, ^6D♭
231	1131.43	25/13	^6C♯, ^7D♭
232	1136.33		^7C♯, ^8D♭
233	1141.22	29/15	^8C♯, ^9D♭
234	1146.12	64/33	^9C♯, ^10D♭
235	1151.02		^10C♯, v10D
236	1155.92	39/20	v10C𝄪, v9D
237	1160.82		v9C𝄪, v8D
238	1165.71	49/25	v8C𝄪, v7D
239	1170.61	57/29	v7C𝄪, v6D
240	1175.51		v6C𝄪, v5D
241	1180.41		v5C𝄪, v4D
242	1185.31		v4C𝄪, v3D
243	1190.2		v3C𝄪, vvD
244	1195.1		vvC𝄪, vD
245	1200	2/1	D

Odd harmonics

Approximation of odd harmonics in 245edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.55	+0.63	+0.97	+1.80	+2.15	+1.92	-0.92	-2.10	+1.26	-0.58	-1.34
	Relative (%)	-31.6	+12.8	+19.8	+36.8	+43.9	+39.2	-18.8	-42.8	+25.8	-11.8	-27.3
Steps (reduced)		388 (143)	569 (79)	688 (198)	777 (42)	848 (113)	907 (172)	957 (222)	1001 (21)	1041 (61)	1076 (96)	1108 (128)

Subsets and supersets

Since 245 factors into 5 × 7², 245edo has subset edos 5, 7, 35, and 49.