276edo

← 275edo

276edo

277edo →

Prime factorization	22 × 3 × 23
Step size	4.34783 ¢
Fifth	161\276 (700 ¢) (→ 7\12)
Semitones (A1:m2)	23:23 (100 ¢ : 100 ¢)
Dual sharp fifth	162\276 (704.348 ¢) (→ 27\46)
Dual flat fifth	161\276 (700 ¢) (→ 7\12)
Dual major 2nd	47\276 (204.348 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

276edo's fifth is quite bad, but it corresponds to 12edo's fifth, which means 276edo tempers out the Pythagorean comma. It's sharp val fifth comes from 46edo. The patent val of 276edo supports compton temperament, owing to the fact that it is a 12edo fifth. In the 7-limit, 276edo supports grendel.

276b val in the 5-limit supports hanson. In the 7-limit, it supports quadritikleismic.

Odd harmonics

Approximation of odd harmonics in 276edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.96	+0.64	+0.74	+0.44	+0.86	-1.40	-1.31	-0.61	-1.86	-1.22	+2.16
	Relative (%)	-45.0	+14.8	+17.0	+10.1	+19.7	-32.1	-30.2	-14.0	-42.8	-28.0	+49.7
Steps (reduced)		437 (161)	641 (89)	775 (223)	875 (47)	955 (127)	1021 (193)	1078 (250)	1128 (24)	1172 (68)	1212 (108)	1249 (145)

Subsets and supersets

276edo has subset edos 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138.

Intervals

Steps	Cents	Approximate ratios	Ups and downs notation (Dual flat fifth 161\276)	Ups and downs notation (Dual sharp fifth 162\276)
0	0	1/1	D	D
1	4.35		^D, ^E♭♭	^D, ^13E♭♭
2	8.7		^^D, ^^E♭♭	^^D, ^14E♭♭
3	13.04		^3D, ^3E♭♭	^3D, v15E♭
4	17.39		^4D, ^4E♭♭	^4D, v14E♭
5	21.74		^5D, ^5E♭♭	^5D, v13E♭
6	26.09	65/64, 66/65	^6D, ^6E♭♭	^6D, v12E♭
7	30.43	56/55	^7D, ^7E♭♭	^7D, v11E♭
8	34.78	50/49	^8D, ^8E♭♭	^8D, v10E♭
9	39.13	44/43	^9D, ^9E♭♭	^9D, v9E♭
10	43.48	41/40	^10D, ^10E♭♭	^10D, v8E♭
11	47.83		^11D, ^11E♭♭	^11D, v7E♭
12	52.17	34/33	v11D♯, v11E♭	^12D, v6E♭
13	56.52	31/30	v10D♯, v10E♭	^13D, v5E♭
14	60.87	29/28	v9D♯, v9E♭	^14D, v4E♭
15	65.22		v8D♯, v8E♭	^15D, v3E♭
16	69.57		v7D♯, v7E♭	v14D♯, vvE♭
17	73.91		v6D♯, v6E♭	v13D♯, vE♭
18	78.26	68/65	v5D♯, v5E♭	v12D♯, E♭
19	82.61	43/41	v4D♯, v4E♭	v11D♯, ^E♭
20	86.96		v3D♯, v3E♭	v10D♯, ^^E♭
21	91.3	58/55	vvD♯, vvE♭	v9D♯, ^3E♭
22	95.65	37/35	vD♯, vE♭	v8D♯, ^4E♭
23	100		D♯, E♭	v7D♯, ^5E♭
24	104.35	17/16	^D♯, ^E♭	v6D♯, ^6E♭
25	108.7	33/31, 49/46, 82/77	^^D♯, ^^E♭	v5D♯, ^7E♭
26	113.04		^3D♯, ^3E♭	v4D♯, ^8E♭
27	117.39	46/43	^4D♯, ^4E♭	v3D♯, ^9E♭
28	121.74	44/41, 74/69	^5D♯, ^5E♭	vvD♯, ^10E♭
29	126.09		^6D♯, ^6E♭	vD♯, ^11E♭
30	130.43	69/64	^7D♯, ^7E♭	D♯, ^12E♭
31	134.78	40/37	^8D♯, ^8E♭	^D♯, ^13E♭
32	139.13	13/12	^9D♯, ^9E♭	^^D♯, ^14E♭
33	143.48		^10D♯, ^10E♭	^3D♯, v15E
34	147.83		^11D♯, ^11E♭	^4D♯, v14E
35	152.17		v11D𝄪, v11E	^5D♯, v13E
36	156.52		v10D𝄪, v10E	^6D♯, v12E
37	160.87		v9D𝄪, v9E	^7D♯, v11E
38	165.22	11/10	v8D𝄪, v8E	^8D♯, v10E
39	169.57	75/68	v7D𝄪, v7E	^9D♯, v9E
40	173.91	21/19	v6D𝄪, v6E	^10D♯, v8E
41	178.26	41/37	v5D𝄪, v5E	^11D♯, v7E
42	182.61		v4D𝄪, v4E	^12D♯, v6E
43	186.96	49/44	v3D𝄪, v3E	^13D♯, v5E
44	191.3	86/77	vvD𝄪, vvE	^14D♯, v4E
45	195.65	28/25	vD𝄪, vE	^15D♯, v3E
46	200	55/49	E	v14D𝄪, vvE
47	204.35		^E, ^F♭	v13D𝄪, vE
48	208.7		^^E, ^^F♭	E
49	213.04		^3E, ^3F♭	^E, ^13F♭
50	217.39	17/15	^4E, ^4F♭	^^E, ^14F♭
51	221.74	25/22	^5E, ^5F♭	^3E, v15F
52	226.09	49/43	^6E, ^6F♭	^4E, v14F
53	230.43	8/7	^7E, ^7F♭	^5E, v13F
54	234.78		^8E, ^8F♭	^6E, v12F
55	239.13		^9E, ^9F♭	^7E, v11F
56	243.48		^10E, ^10F♭	^8E, v10F
57	247.83	15/13	^11E, ^11F♭	^9E, v9F
58	252.17		v11E♯, v11F	^10E, v8F
59	256.52	29/25, 80/69	v10E♯, v10F	^11E, v7F
60	260.87	43/37, 50/43	v9E♯, v9F	^12E, v6F
61	265.22		v8E♯, v8F	^13E, v5F
62	269.57		v7E♯, v7F	^14E, v4F
63	273.91	41/35, 75/64	v6E♯, v6F	^15E, v3F
64	278.26		v5E♯, v5F	v14E♯, vvF
65	282.61		v4E♯, v4F	v13E♯, vF
66	286.96		v3E♯, v3F	F
67	291.3	58/49	vvE♯, vvF	^F, ^13G♭♭
68	295.65		vE♯, vF	^^F, ^14G♭♭
69	300	44/37, 69/58	F	^3F, v15G♭
70	304.35	31/26	^F, ^G♭♭	^4F, v14G♭
71	308.7	49/41, 55/46	^^F, ^^G♭♭	^5F, v13G♭
72	313.04		^3F, ^3G♭♭	^6F, v12G♭
73	317.39		^4F, ^4G♭♭	^7F, v11G♭
74	321.74		^5F, ^5G♭♭	^8F, v10G♭
75	326.09	35/29	^6F, ^6G♭♭	^9F, v9G♭
76	330.43		^7F, ^7G♭♭	^10F, v8G♭
77	334.78		^8F, ^8G♭♭	^11F, v7G♭
78	339.13		^9F, ^9G♭♭	^12F, v6G♭
79	343.48	50/41	^10F, ^10G♭♭	^13F, v5G♭
80	347.83		^11F, ^11G♭♭	^14F, v4G♭
81	352.17	38/31	v11F♯, v11G♭	^15F, v3G♭
82	356.52	43/35	v10F♯, v10G♭	v14F♯, vvG♭
83	360.87	69/56, 85/69	v9F♯, v9G♭	v13F♯, vG♭
84	365.22	21/17	v8F♯, v8G♭	v12F♯, G♭
85	369.57	26/21	v7F♯, v7G♭	v11F♯, ^G♭
86	373.91		v6F♯, v6G♭	v10F♯, ^^G♭
87	378.26		v5F♯, v5G♭	v9F♯, ^3G♭
88	382.61		v4F♯, v4G♭	v8F♯, ^4G♭
89	386.96	5/4	v3F♯, v3G♭	v7F♯, ^5G♭
90	391.3		vvF♯, vvG♭	v6F♯, ^6G♭
91	395.65	44/35	vF♯, vG♭	v5F♯, ^7G♭
92	400		F♯, G♭	v4F♯, ^8G♭
93	404.35	24/19	^F♯, ^G♭	v3F♯, ^9G♭
94	408.7	19/15	^^F♯, ^^G♭	vvF♯, ^10G♭
95	413.04	33/26	^3F♯, ^3G♭	vF♯, ^11G♭
96	417.39	14/11	^4F♯, ^4G♭	F♯, ^12G♭
97	421.74	37/29, 88/69	^5F♯, ^5G♭	^F♯, ^13G♭
98	426.09	55/43, 87/68	^6F♯, ^6G♭	^^F♯, ^14G♭
99	430.43		^7F♯, ^7G♭	^3F♯, v15G
100	434.78		^8F♯, ^8G♭	^4F♯, v14G
101	439.13		^9F♯, ^9G♭	^5F♯, v13G
102	443.48	31/24, 84/65	^10F♯, ^10G♭	^6F♯, v12G
103	447.83		^11F♯, ^11G♭	^7F♯, v11G
104	452.17		v11F𝄪, v11G	^8F♯, v10G
105	456.52		v10F𝄪, v10G	^9F♯, v9G
106	460.87		v9F𝄪, v9G	^10F♯, v8G
107	465.22		v8F𝄪, v8G	^11F♯, v7G
108	469.57		v7F𝄪, v7G	^12F♯, v6G
109	473.91		v6F𝄪, v6G	^13F♯, v5G
110	478.26	29/22	v5F𝄪, v5G	^14F♯, v4G
111	482.61	37/28	v4F𝄪, v4G	^15F♯, v3G
112	486.96	49/37	v3F𝄪, v3G	v14F𝄪, vvG
113	491.3	77/58, 85/64	vvF𝄪, vvG	v13F𝄪, vG
114	495.65		vF𝄪, vG	G
115	500		G	^G, ^13A♭♭
116	504.35	87/65	^G, ^A♭♭	^^G, ^14A♭♭
117	508.7	51/38, 55/41	^^G, ^^A♭♭	^3G, v15A♭
118	513.04	74/55	^3G, ^3A♭♭	^4G, v14A♭
119	517.39	58/43	^4G, ^4A♭♭	^5G, v13A♭
120	521.74	50/37	^5G, ^5A♭♭	^6G, v12A♭
121	526.09	42/31	^6G, ^6A♭♭	^7G, v11A♭
122	530.43		^7G, ^7A♭♭	^8G, v10A♭
123	534.78	64/47	^8G, ^8A♭♭	^9G, v9A♭
124	539.13	56/41	^9G, ^9A♭♭	^10G, v8A♭
125	543.48	26/19	^10G, ^10A♭♭	^11G, v7A♭
126	547.83		^11G, ^11A♭♭	^12G, v6A♭
127	552.17		v11G♯, v11A♭	^13G, v5A♭
128	556.52	40/29	v10G♯, v10A♭	^14G, v4A♭
129	560.87	47/34, 65/47	v9G♯, v9A♭	^15G, v3A♭
130	565.22		v8G♯, v8A♭	v14G♯, vvA♭
131	569.57		v7G♯, v7A♭	v13G♯, vA♭
132	573.91		v6G♯, v6A♭	v12G♯, A♭
133	578.26		v5G♯, v5A♭	v11G♯, ^A♭
134	582.61	7/5	v4G♯, v4A♭	v10G♯, ^^A♭
135	586.96	87/62	v3G♯, v3A♭	v9G♯, ^3A♭
136	591.3		vvG♯, vvA♭	v8G♯, ^4A♭
137	595.65		vG♯, vA♭	v7G♯, ^5A♭
138	600	41/29, 58/41	G♯, A♭	v6G♯, ^6A♭
139	604.35		^G♯, ^A♭	v5G♯, ^7A♭
140	608.7		^^G♯, ^^A♭	v4G♯, ^8A♭
141	613.04		^3G♯, ^3A♭	v3G♯, ^9A♭
142	617.39	10/7	^4G♯, ^4A♭	vvG♯, ^10A♭
143	621.74		^5G♯, ^5A♭	vG♯, ^11A♭
144	626.09		^6G♯, ^6A♭	G♯, ^12A♭
145	630.43		^7G♯, ^7A♭	^G♯, ^13A♭
146	634.78	75/52	^8G♯, ^8A♭	^^G♯, ^14A♭
147	639.13	68/47	^9G♯, ^9A♭	^3G♯, v15A
148	643.48	29/20	^10G♯, ^10A♭	^4G♯, v14A
149	647.83		^11G♯, ^11A♭	^5G♯, v13A
150	652.17		v11G𝄪, v11A	^6G♯, v12A
151	656.52	19/13	v10G𝄪, v10A	^7G♯, v11A
152	660.87	41/28	v9G𝄪, v9A	^8G♯, v10A
153	665.22	47/32, 69/47	v8G𝄪, v8A	^9G♯, v9A
154	669.57		v7G𝄪, v7A	^10G♯, v8A
155	673.91	31/21	v6G𝄪, v6A	^11G♯, v7A
156	678.26	37/25	v5G𝄪, v5A	^12G♯, v6A
157	682.61	43/29	v4G𝄪, v4A	^13G♯, v5A
158	686.96	55/37	v3G𝄪, v3A	^14G♯, v4A
159	691.3	76/51, 82/55	vvG𝄪, vvA	^15G♯, v3A
160	695.65		vG𝄪, vA	v14G𝄪, vvA
161	700		A	v13G𝄪, vA
162	704.35		^A, ^B♭♭	A
163	708.7		^^A, ^^B♭♭	^A, ^13B♭♭
164	713.04	74/49	^3A, ^3B♭♭	^^A, ^14B♭♭
165	717.39	56/37	^4A, ^4B♭♭	^3A, v15B♭
166	721.74	44/29, 85/56	^5A, ^5B♭♭	^4A, v14B♭
167	726.09		^6A, ^6B♭♭	^5A, v13B♭
168	730.43		^7A, ^7B♭♭	^6A, v12B♭
169	734.78		^8A, ^8B♭♭	^7A, v11B♭
170	739.13		^9A, ^9B♭♭	^8A, v10B♭
171	743.48		^10A, ^10B♭♭	^9A, v9B♭
172	747.83	77/50	^11A, ^11B♭♭	^10A, v8B♭
173	752.17		v11A♯, v11B♭	^11A, v7B♭
174	756.52	48/31, 65/42	v10A♯, v10B♭	^12A, v6B♭
175	760.87		v9A♯, v9B♭	^13A, v5B♭
176	765.22		v8A♯, v8B♭	^14A, v4B♭
177	769.57		v7A♯, v7B♭	^15A, v3B♭
178	773.91	86/55	v6A♯, v6B♭	v14A♯, vvB♭
179	778.26	58/37, 69/44	v5A♯, v5B♭	v13A♯, vB♭
180	782.61	11/7	v4A♯, v4B♭	v12A♯, B♭
181	786.96	52/33	v3A♯, v3B♭	v11A♯, ^B♭
182	791.3	30/19	vvA♯, vvB♭	v10A♯, ^^B♭
183	795.65	19/12	vA♯, vB♭	v9A♯, ^3B♭
184	800		A♯, B♭	v8A♯, ^4B♭
185	804.35	35/22	^A♯, ^B♭	v7A♯, ^5B♭
186	808.7	75/47	^^A♯, ^^B♭	v6A♯, ^6B♭
187	813.04	8/5	^3A♯, ^3B♭	v5A♯, ^7B♭
188	817.39		^4A♯, ^4B♭	v4A♯, ^8B♭
189	821.74		^5A♯, ^5B♭	v3A♯, ^9B♭
190	826.09		^6A♯, ^6B♭	vvA♯, ^10B♭
191	830.43	21/13	^7A♯, ^7B♭	vA♯, ^11B♭
192	834.78	34/21	^8A♯, ^8B♭	A♯, ^12B♭
193	839.13		^9A♯, ^9B♭	^A♯, ^13B♭
194	843.48	70/43	^10A♯, ^10B♭	^^A♯, ^14B♭
195	847.83	31/19	^11A♯, ^11B♭	^3A♯, v15B
196	852.17		v11A𝄪, v11B	^4A♯, v14B
197	856.52	41/25	v10A𝄪, v10B	^5A♯, v13B
198	860.87		v9A𝄪, v9B	^6A♯, v12B
199	865.22		v8A𝄪, v8B	^7A♯, v11B
200	869.57		v7A𝄪, v7B	^8A♯, v10B
201	873.91	58/35	v6A𝄪, v6B	^9A♯, v9B
202	878.26		v5A𝄪, v5B	^10A♯, v8B
203	882.61		v4A𝄪, v4B	^11A♯, v7B
204	886.96		v3A𝄪, v3B	^12A♯, v6B
205	891.3	77/46, 82/49, 87/52	vvA𝄪, vvB	^13A♯, v5B
206	895.65	52/31	vA𝄪, vB	^14A♯, v4B
207	900	37/22	B	^15A♯, v3B
208	904.35		^B, ^C♭	v14A𝄪, vvB
209	908.7	49/29	^^B, ^^C♭	v13A𝄪, vB
210	913.04		^3B, ^3C♭	B
211	917.39		^4B, ^4C♭	^B, ^13C♭
212	921.74		^5B, ^5C♭	^^B, ^14C♭
213	926.09	70/41	^6B, ^6C♭	^3B, v15C
214	930.43		^7B, ^7C♭	^4B, v14C
215	934.78		^8B, ^8C♭	^5B, v13C
216	939.13	43/25, 74/43	^9B, ^9C♭	^6B, v12C
217	943.48	50/29, 69/40	^10B, ^10C♭	^7B, v11C
218	947.83		^11B, ^11C♭	^8B, v10C
219	952.17	26/15	v11B♯, v11C	^9B, v9C
220	956.52		v10B♯, v10C	^10B, v8C
221	960.87		v9B♯, v9C	^11B, v7C
222	965.22		v8B♯, v8C	^12B, v6C
223	969.57	7/4	v7B♯, v7C	^13B, v5C
224	973.91	86/49	v6B♯, v6C	^14B, v4C
225	978.26	44/25	v5B♯, v5C	^15B, v3C
226	982.61	30/17	v4B♯, v4C	v14B♯, vvC
227	986.96		v3B♯, v3C	v13B♯, vC
228	991.3		vvB♯, vvC	C
229	995.65		vB♯, vC	^C, ^13D♭♭
230	1000		C	^^C, ^14D♭♭
231	1004.35	25/14	^C, ^D♭♭	^3C, v15D♭
232	1008.7	77/43	^^C, ^^D♭♭	^4C, v14D♭
233	1013.04	88/49	^3C, ^3D♭♭	^5C, v13D♭
234	1017.39		^4C, ^4D♭♭	^6C, v12D♭
235	1021.74	74/41	^5C, ^5D♭♭	^7C, v11D♭
236	1026.09	38/21, 85/47	^6C, ^6D♭♭	^8C, v10D♭
237	1030.43		^7C, ^7D♭♭	^9C, v9D♭
238	1034.78	20/11	^8C, ^8D♭♭	^10C, v8D♭
239	1039.13		^9C, ^9D♭♭	^11C, v7D♭
240	1043.48		^10C, ^10D♭♭	^12C, v6D♭
241	1047.83		^11C, ^11D♭♭	^13C, v5D♭
242	1052.17		v11C♯, v11D♭	^14C, v4D♭
243	1056.52		v10C♯, v10D♭	^15C, v3D♭
244	1060.87	24/13	v9C♯, v9D♭	v14C♯, vvD♭
245	1065.22	37/20	v8C♯, v8D♭	v13C♯, vD♭
246	1069.57		v7C♯, v7D♭	v12C♯, D♭
247	1073.91		v6C♯, v6D♭	v11C♯, ^D♭
248	1078.26	41/22, 69/37	v5C♯, v5D♭	v10C♯, ^^D♭
249	1082.61	43/23	v4C♯, v4D♭	v9C♯, ^3D♭
250	1086.96		v3C♯, v3D♭	v8C♯, ^4D♭
251	1091.3	62/33, 77/41	vvC♯, vvD♭	v7C♯, ^5D♭
252	1095.65	32/17	vC♯, vD♭	v6C♯, ^6D♭
253	1100		C♯, D♭	v5C♯, ^7D♭
254	1104.35	70/37	^C♯, ^D♭	v4C♯, ^8D♭
255	1108.7	55/29	^^C♯, ^^D♭	v3C♯, ^9D♭
256	1113.04		^3C♯, ^3D♭	vvC♯, ^10D♭
257	1117.39	82/43	^4C♯, ^4D♭	vC♯, ^11D♭
258	1121.74	65/34	^5C♯, ^5D♭	C♯, ^12D♭
259	1126.09		^6C♯, ^6D♭	^C♯, ^13D♭
260	1130.43		^7C♯, ^7D♭	^^C♯, ^14D♭
261	1134.78		^8C♯, ^8D♭	^3C♯, v15D
262	1139.13	56/29	^9C♯, ^9D♭	^4C♯, v14D
263	1143.48	60/31	^10C♯, ^10D♭	^5C♯, v13D
264	1147.83	33/17	^11C♯, ^11D♭	^6C♯, v12D
265	1152.17		v11C𝄪, v11D	^7C♯, v11D
266	1156.52	80/41	v10C𝄪, v10D	^8C♯, v10D
267	1160.87	43/22	v9C𝄪, v9D	^9C♯, v9D
268	1165.22	49/25	v8C𝄪, v8D	^10C♯, v8D
269	1169.57	55/28	v7C𝄪, v7D	^11C♯, v7D
270	1173.91	65/33	v6C𝄪, v6D	^12C♯, v6D
271	1178.26		v5C𝄪, v5D	^13C♯, v5D
272	1182.61		v4C𝄪, v4D	^14C♯, v4D
273	1186.96		v3C𝄪, v3D	^15C♯, v3D
274	1191.3		vvC𝄪, vvD	v14C𝄪, vvD
275	1195.65		vC𝄪, vD	v13C𝄪, vD
276	1200	2/1	D	D

Music

• Sevish, Evanescence - What The Zoon (Mashup) - while not a 276edo song per se, it is a mashup of 12edo and 23edo songs.