Template:Interval table/doc

Parameters

additonal

Additional rows and columns that can be added to the table. Columns are separated by semicolons.

max_error

Not currently working. Changes the maximum error cutoff for approximate ratios in cents.

Examples

{{Interval table|12edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	100	15/14, 16/15, 17/16, 18/17, 19/18, 20/19, 21/20, 22/21	D♯, E♭
2	200	9/8, 10/9, 17/15, 19/17, 21/19	E
3	300	6/5, 19/16, 20/17	F
4	400	5/4, 14/11, 19/15, 23/18	F♯, G♭
5	500	4/3, 23/17	G
6	600	7/5, 10/7, 17/12, 23/16	G♯, A♭
7	700	3/2	A
8	800	8/5, 11/7, 19/12	A♯, B♭
9	900	5/3, 17/10	B
10	1000	9/5, 16/9, 23/13	C
11	1100	15/8, 17/9, 19/10, 21/11, 23/12	C♯, D♭
12	1200	2/1	D

{{Interval table|13edo|additional=
[[26edo]] names; Fox-Raven<br>Notation (J = 360Hz)
C; J
Cx/Dbb; J#/Kb
D; K
Dx/Ebb; L
E; L#/Mb
Ex/Fb; M
F#; M#/Nb
Gb; N
G#; O
Ab; O#/Pb
A#; P
Bb; Q
B#/Cbb; Q#/Jb
C; J
}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation (Dual flat fifth 7\13)	Ups and downs notation (Dual sharp fifth 8\13)	26edo names	Fox-Raven Notation (J = 360Hz)
0	0	1/1	D	D	C	J
1	92.3	16/15, 17/16, 20/19, 21/20, 22/21, 23/22	E	^D, vF	Cx/Dbb	J#/Kb
2	184.6	11/10, 19/17, 21/19	^E, F♭	F	D	K
3	276.9	13/11, 19/16, 20/17, 22/19	vE♯, ^F♭	E	Dx/Ebb	L
4	369.2	5/4, 16/13, 21/17	E♯, vF	^E, vG	E	L#/Mb
5	461.5	13/10, 17/13, 21/16, 22/17	F	G	Ex/Fb	M
6	553.8	11/8, 15/11, 19/14	G	^G, vvA	F#	M#/Nb
7	646.2	16/11, 19/13, 22/15, 23/16	A	^^G, vA	Gb	N
8	738.5	17/11, 20/13, 23/15	B	A	G#	O
9	830.8	8/5, 13/8, 21/13	^B, C♭	^A, vC	Ab	O#/Pb
10	923.1	17/10, 19/11, 22/13	vB♯, ^C♭	C	A#	P
11	1015.4	20/11	B♯, vC	B	Bb	Q
12	1107.7	15/8, 19/10, 21/11, 23/12	C	^B, vD	B#/Cbb	Q#/Jb
13	1200	2/1	D	D	C	J

{{Interval table|13edt}}

Result:

Steps	Cents	Hekts	Approximate ratios
0	0	0	1/1
1	146.3	100	11/10, 12/11, 13/12, 14/13, 23/21
2	292.6	200	6/5, 7/6, 13/11
3	438.9	300	9/7, 13/10, 14/11, 23/18
4	585.2	400	7/5, 18/13
5	731.5	500	20/13, 23/15
6	877.8	600	5/3, 18/11, 23/14
7	1024.1	700	9/5, 11/6, 20/11
8	1170.4	800
9	1316.7	900	13/6, 15/7, 19/9
10	1463	1000	7/3, 23/10
11	1609.3	1100	5/2, 18/7, 23/9
12	1755.7	1200	11/4
13	1902	1300	3/1

{{Interval table|36edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	33.3		^D, ^E♭♭
2	66.7	24/23, 27/26, 28/27, 29/28	vD♯, vE♭
3	100	17/16, 18/17, 19/18	D♯, E♭
4	133.3	13/12, 14/13	^D♯, ^E♭
5	166.7	11/10, 21/19	vD𝄪, vE
6	200	9/8, 19/17	E
7	233.3	8/7	^E, ^F♭
8	266.7	7/6	vE♯, vF
9	300	19/16	F
10	333.3	17/14, 23/19, 28/23, 29/24	^F, ^G♭♭
11	366.7	16/13, 21/17, 26/21	vF♯, vG♭
12	400	24/19, 29/23	F♯, G♭
13	433.3	9/7	^F♯, ^G♭
14	466.7	17/13, 21/16	vF𝄪, vG
15	500	4/3	G
16	533.3	15/11, 19/14	^G, ^A♭♭
17	566.7	18/13, 29/21	vG♯, vA♭
18	600	17/12, 24/17	G♯, A♭
19	633.3	13/9, 23/16	^G♯, ^A♭
20	666.7	22/15, 28/19	vG𝄪, vA
21	700	3/2	A
22	733.3	23/15, 26/17, 29/19	^A, ^B♭♭
23	766.7	14/9	vA♯, vB♭
24	800	19/12, 27/17	A♯, B♭
25	833.3	13/8, 21/13, 29/18	^A♯, ^B♭
26	866.7	23/14, 28/17	vA𝄪, vB
27	900	27/16	B
28	933.3	12/7	^B, ^C♭
29	966.7	7/4	vB♯, vC
30	1000	16/9	C
31	1033.3	20/11, 29/16	^C, ^D♭♭
32	1066.7	13/7, 24/13	vC♯, vD♭
33	1100	17/9	C♯, D♭
34	1133.3	23/12, 27/14, 29/15	^C♯, ^D♭
35	1166.7		vC𝄪, vD
36	1200	2/1	D

{{Interval table|60edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	20		^D, ^E♭♭
2	40		^^D, ^^E♭♭
3	60	28/27, 29/28, 30/29, 31/30	vvD♯, vvE♭
4	80	21/20	vD♯, vE♭
5	100	18/17	D♯, E♭
6	120	15/14, 29/27	^D♯, ^E♭
7	140	13/12, 25/23	^^D♯, ^^E♭
8	160	23/21, 34/31	vvD𝄪, vvE
9	180	10/9, 31/28	vD𝄪, vE
10	200	9/8, 28/25	E
11	220	17/15	^E, ^F♭
12	240	23/20, 31/27	^^E, ^^F♭
13	260	29/25	vvE♯, vvF
14	280	20/17, 27/23	vE♯, vF
15	300	19/16, 25/21, 31/26	F
16	320	6/5	^F, ^G♭♭
17	340	17/14, 28/23	^^F, ^^G♭♭
18	360	16/13	vvF♯, vvG♭
19	380		vF♯, vG♭
20	400	24/19, 29/23, 34/27	F♯, G♭
21	420	23/18	^F♯, ^G♭
22	440	31/24	^^F♯, ^^G♭
23	460	17/13, 30/23	vvF𝄪, vvG
24	480		vF𝄪, vG
25	500	4/3	G
26	520	23/17, 27/20, 31/23	^G, ^A♭♭
27	540	26/19	^^G, ^^A♭♭
28	560	18/13, 29/21	vvG♯, vvA♭
29	580	7/5	vG♯, vA♭
30	600	17/12, 24/17	G♯, A♭
31	620	10/7	^G♯, ^A♭
32	640	13/9, 29/20	^^G♯, ^^A♭
33	660	19/13	vvG𝄪, vvA
34	680	34/23	vG𝄪, vA
35	700	3/2	A
36	720		^A, ^B♭♭
37	740	23/15, 26/17	^^A, ^^B♭♭
38	760	31/20	vvA♯, vvB♭
39	780		vA♯, vB♭
40	800	19/12, 27/17	A♯, B♭
41	820		^A♯, ^B♭
42	840	13/8	^^A♯, ^^B♭
43	860	23/14, 28/17	vvA𝄪, vvB
44	880	5/3	vA𝄪, vB
45	900	32/19	B
46	920	17/10	^B, ^C♭
47	940	31/18	^^B, ^^C♭
48	960	33/19	vvB♯, vvC
49	980	30/17	vB♯, vC
50	1000	16/9, 25/14	C
51	1020	9/5	^C, ^D♭♭
52	1040	31/17	^^C, ^^D♭♭
53	1060	24/13	vvC♯, vvD♭
54	1080	28/15	vC♯, vD♭
55	1100	17/9	C♯, D♭
56	1120		^C♯, ^D♭
57	1140	27/14, 29/15	^^C♯, ^^D♭
58	1160		vvC𝄪, vvD
59	1180		vC𝄪, vD
60	1200	2/1	D

{{Interval table|71edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation (Dual flat fifth 41\71)	Ups and downs notation (Dual sharp fifth 42\71)
0	0	1/1	D	D
1	16.9		^D, vE♭♭♭	^D, vvE♭
2	33.8		vD♯, E♭♭♭	^^D, vE♭
3	50.7	35/34	D♯, ^E♭♭♭	^3D, E♭
4	67.6	25/24, 26/25	^D♯, vE♭♭	^4D, ^E♭
5	84.5	21/20	vD𝄪, E♭♭	^5D, ^^E♭
6	101.4	17/16	D𝄪, ^E♭♭	v4D♯, ^3E♭
7	118.3	31/29	^D𝄪, vE♭	v3D♯, ^4E♭
8	135.2	13/12	vD♯𝄪, E♭	vvD♯, v5E
9	152.1	12/11, 35/32	D♯𝄪, ^E♭	vD♯, v4E
10	169	32/29	^D♯𝄪, vE	D♯, v3E
11	185.9	29/26	E	^D♯, vvE
12	202.8		^E, vF♭♭	^^D♯, vE
13	219.7	25/22	vE♯, F♭♭	E
14	236.6		E♯, ^F♭♭	^E, vvF
15	253.5	22/19, 29/25, 37/32	^E♯, vF♭	^^E, vF
16	270.4		vE𝄪, F♭	F
17	287.3	13/11	E𝄪, ^F♭	^F, vvG♭
18	304.2	25/21, 31/26, 37/31	^E𝄪, vF	^^F, vG♭
19	321.1		F	^3F, G♭
20	338	17/14, 28/23	^F, vG♭♭♭	^4F, ^G♭
21	354.9		vF♯, G♭♭♭	^5F, ^^G♭
22	371.8	26/21, 31/25	F♯, ^G♭♭♭	v4F♯, ^3G♭
23	388.7	5/4	^F♯, vG♭♭	v3F♯, ^4G♭
24	405.6	19/15, 24/19	vF𝄪, G♭♭	vvF♯, v5G
25	422.5	37/29	F𝄪, ^G♭♭	vF♯, v4G
26	439.4	31/24	^F𝄪, vG♭	F♯, v3G
27	456.3	13/10	vF♯𝄪, G♭	^F♯, vvG
28	473.2	21/16, 25/19	F♯𝄪, ^G♭	^^F♯, vG
29	490.1		^F♯𝄪, vG	G
30	507		G	^G, vvA♭
31	523.9	23/17	^G, vA♭♭♭	^^G, vA♭
32	540.8	26/19	vG♯, A♭♭♭	^3G, A♭
33	557.7	29/21	G♯, ^A♭♭♭	^4G, ^A♭
34	574.6	32/23	^G♯, vA♭♭	^5G, ^^A♭
35	591.5	31/22	vG𝄪, A♭♭	v4G♯, ^3A♭
36	608.5	37/26	G𝄪, ^A♭♭	v3G♯, ^4A♭
37	625.4	23/16	^G𝄪, vA♭	vvG♯, v5A
38	642.3	29/20	vG♯𝄪, A♭	vG♯, v4A
39	659.2	19/13	G♯𝄪, ^A♭	G♯, v3A
40	676.1	31/21, 34/23, 37/25	^G♯𝄪, vA	^G♯, vvA
41	693		A	^^G♯, vA
42	709.9		^A, vB♭♭♭	A
43	726.8	32/21, 35/23	vA♯, B♭♭♭	^A, vvB♭
44	743.7	20/13	A♯, ^B♭♭♭	^^A, vB♭
45	760.6	31/20	^A♯, vB♭♭	^3A, B♭
46	777.5		vA𝄪, B♭♭	^4A, ^B♭
47	794.4	19/12, 30/19	A𝄪, ^B♭♭	^5A, ^^B♭
48	811.3	8/5	^A𝄪, vB♭	v4A♯, ^3B♭
49	828.2	21/13	vA♯𝄪, B♭	v3A♯, ^4B♭
50	845.1	31/19	A♯𝄪, ^B♭	vvA♯, v5B
51	862	23/14, 28/17	^A♯𝄪, vB	vA♯, v4B
52	878.9		B	A♯, v3B
53	895.8		^B, vC♭♭	^A♯, vvB
54	912.7	22/13	vB♯, C♭♭	^^A♯, vB
55	929.6		B♯, ^C♭♭	B
56	946.5	19/11	^B♯, vC♭	^B, vvC
57	963.4		vB𝄪, C♭	^^B, vC
58	980.3	37/21	B𝄪, ^C♭	C
59	997.2		^B𝄪, vC	^C, vvD♭
60	1014.1		C	^^C, vD♭
61	1031	29/16	^C, vD♭♭♭	^3C, D♭
62	1047.9	11/6	vC♯, D♭♭♭	^4C, ^D♭
63	1064.8	24/13, 37/20	C♯, ^D♭♭♭	^5C, ^^D♭
64	1081.7		^C♯, vD♭♭	v4C♯, ^3D♭
65	1098.6	32/17	vC𝄪, D♭♭	v3C♯, ^4D♭
66	1115.5		C𝄪, ^D♭♭	vvC♯, v5D
67	1132.4	25/13	^C𝄪, vD♭	vC♯, v4D
68	1149.3		vC♯𝄪, D♭	C♯, v3D
69	1166.2		C♯𝄪, ^D♭	^C♯, vvD
70	1183.1		^C♯𝄪, vD	^^C♯, vD
71	1200	2/1	D	D

{{Interval table|84edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	14.3		^D, ^E♭♭
2	28.6		^^D, ^^E♭♭
3	42.9	39/38, 40/39, 41/40	^3D, ^3E♭♭
4	57.1	30/29, 31/30, 32/31	v3D♯, v3E♭
5	71.4	24/23, 25/24	vvD♯, vvE♭
6	85.7	21/20, 41/39	vD♯, vE♭
7	100	18/17, 35/33	D♯, E♭
8	114.3	16/15, 31/29	^D♯, ^E♭
9	128.6	14/13, 41/38	^^D♯, ^^E♭
10	142.9	25/23, 38/35	^3D♯, ^3E♭
11	157.1	23/21, 34/31, 35/32	v3D𝄪, v3E
12	171.4	21/19, 32/29	vvD𝄪, vvE
13	185.7	39/35	vD𝄪, vE
14	200	37/33	E
15	214.3	17/15, 26/23	^E, ^F♭
16	228.6	8/7	^^E, ^^F♭
17	242.9	23/20, 38/33	^3E, ^3F♭
18	257.1	29/25, 36/31	v3E♯, v3F
19	271.4	41/35	vvE♯, vvF
20	285.7	33/28	vE♯, vF
21	300	19/16, 25/21	F
22	314.3	6/5	^F, ^G♭♭
23	328.6	23/19, 29/24, 35/29	^^F, ^^G♭♭
24	342.9	28/23, 39/32	^3F, ^3G♭♭
25	357.1	16/13	v3F♯, v3G♭
26	371.4	26/21, 31/25, 36/29	vvF♯, vvG♭
27	385.7	5/4	vF♯, vG♭
28	400	29/23, 34/27, 39/31	F♯, G♭
29	414.3	33/26	^F♯, ^G♭
30	428.6	32/25, 41/32	^^F♯, ^^G♭
31	442.9	31/24, 40/31	^3F♯, ^3G♭
32	457.1	13/10, 30/23	v3F𝄪, v3G
33	471.4	21/16	vvF𝄪, vvG
34	485.7	41/31	vF𝄪, vG
35	500	4/3	G
36	514.3	31/23, 35/26, 39/29	^G, ^A♭♭
37	528.6	19/14	^^G, ^^A♭♭
38	542.9	26/19, 41/30	^3G, ^3A♭♭
39	557.1	29/21, 40/29	v3G♯, v3A♭
40	571.4	25/18, 32/23, 39/28	vvG♯, vvA♭
41	585.7		vG♯, vA♭
42	600	17/12, 24/17, 41/29	G♯, A♭
43	614.3		^G♯, ^A♭
44	628.6	23/16, 36/25	^^G♯, ^^A♭
45	642.9	29/20	^3G♯, ^3A♭
46	657.1	19/13	v3G𝄪, v3A
47	671.4	28/19, 31/21	vvG𝄪, vvA
48	685.7		vG𝄪, vA
49	700	3/2	A
50	714.3		^A, ^B♭♭
51	728.6	32/21, 35/23	^^A, ^^B♭♭
52	742.9	20/13, 23/15	^3A, ^3B♭♭
53	757.1	31/20	v3A♯, v3B♭
54	771.4	25/16, 39/25	vvA♯, vvB♭
55	785.7	41/26	vA♯, vB♭
56	800	27/17	A♯, B♭
57	814.3	8/5	^A♯, ^B♭
58	828.6	21/13, 29/18	^^A♯, ^^B♭
59	842.9	13/8	^3A♯, ^3B♭
60	857.1	23/14, 41/25	v3A𝄪, v3B
61	871.4	38/23	vvA𝄪, vvB
62	885.7	5/3	vA𝄪, vB
63	900	32/19, 37/22	B
64	914.3	39/23	^B, ^C♭
65	928.6	41/24	^^B, ^^C♭
66	942.9	31/18	^3B, ^3C♭
67	957.1	33/19, 40/23	v3B♯, v3C
68	971.4	7/4	vvB♯, vvC
69	985.7	23/13, 30/17	vB♯, vC
70	1000	41/23	C
71	1014.3		^C, ^D♭♭
72	1028.6	29/16, 38/21	^^C, ^^D♭♭
73	1042.9	31/17	^3C, ^3D♭♭
74	1057.1	35/19	v3C♯, v3D♭
75	1071.4	13/7	vvC♯, vvD♭
76	1085.7	15/8	vC♯, vD♭
77	1100	17/9	C♯, D♭
78	1114.3	40/21	^C♯, ^D♭
79	1128.6	23/12	^^C♯, ^^D♭
80	1142.9	29/15, 31/16	^3C♯, ^3D♭
81	1157.1	39/20, 41/21	v3C𝄪, v3D
82	1171.4		vvC𝄪, vvD
83	1185.7		vC𝄪, vD
84	1200	2/1	D

{{Interval table|108edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	11.1		^D, ^E♭♭
2	22.2		^^D, ^^E♭♭
3	33.3		^3D, ^3E♭♭
4	44.4	38/37, 39/38, 40/39, 41/40	^4D, ^4E♭♭
5	55.6	31/30, 32/31	v4D♯, v4E♭
6	66.7	26/25	v3D♯, v3E♭
7	77.8	23/22, 45/43	vvD♯, vvE♭
8	88.9	20/19, 39/37	vD♯, vE♭
9	100	18/17, 35/33	D♯, E♭
10	111.1	16/15	^D♯, ^E♭
11	122.2	44/41	^^D♯, ^^E♭
12	133.3	40/37, 41/38	^3D♯, ^3E♭
13	144.4	25/23, 38/35	^4D♯, ^4E♭
14	155.6	35/32, 47/43	v4D𝄪, v4E
15	166.7	11/10	v3D𝄪, v3E
16	177.8	31/28, 41/37	vvD𝄪, vvE
17	188.9	29/26, 39/35	vD𝄪, vE
18	200	37/33, 46/41	E
19	211.1	26/23, 35/31	^E, ^F♭
20	222.2	25/22, 33/29	^^E, ^^F♭
21	233.3	8/7	^3E, ^3F♭
22	244.4	38/33	^4E, ^4F♭
23	255.6	22/19, 29/25	v4E♯, v4F
24	266.7	7/6	v3E♯, v3F
25	277.8	47/40	vvE♯, vvF
26	288.9	13/11	vE♯, vF
27	300	44/37	F
28	311.1		^F, ^G♭♭
29	322.2	47/39	^^F, ^^G♭♭
30	333.3	40/33	^3F, ^3G♭♭
31	344.4	39/32	^4F, ^4G♭♭
32	355.6	43/35	v4F♯, v4G♭
33	366.7	21/17, 47/38	v3F♯, v3G♭
34	377.8	41/33, 46/37	vvF♯, vvG♭
35	388.9		vF♯, vG♭
36	400	29/23, 34/27	F♯, G♭
37	411.1	19/15, 33/26	^F♯, ^G♭
38	422.2	37/29	^^F♯, ^^G♭
39	433.3	9/7	^3F♯, ^3G♭
40	444.4	31/24	^4F♯, ^4G♭
41	455.6	13/10	v4F𝄪, v4G
42	466.7	38/29	v3F𝄪, v3G
43	477.8	29/22	vvF𝄪, vvG
44	488.9		vF𝄪, vG
45	500	4/3	G
46	511.1	39/29, 43/32, 47/35	^G, ^A♭♭
47	522.2		^^G, ^^A♭♭
48	533.3		^3G, ^3A♭♭
49	544.4	26/19	^4G, ^4A♭♭
50	555.6	40/29	v4G♯, v4A♭
51	566.7	43/31	v3G♯, v3A♭
52	577.8		vvG♯, vvA♭
53	588.9	45/32	vG♯, vA♭
54	600	41/29	G♯, A♭
55	611.1	37/26, 47/33	^G♯, ^A♭
56	622.2	43/30	^^G♯, ^^A♭
57	633.3		^3G♯, ^3A♭
58	644.4	29/20, 45/31	^4G♯, ^4A♭
59	655.6	19/13	v4G𝄪, v4A
60	666.7	47/32	v3G𝄪, v3A
61	677.8	37/25	vvG𝄪, vvA
62	688.9		vG𝄪, vA
63	700	3/2	A
64	711.1		^A, ^B♭♭
65	722.2	44/29, 47/31	^^A, ^^B♭♭
66	733.3	29/19	^3A, ^3B♭♭
67	744.4	20/13, 43/28	^4A, ^4B♭♭
68	755.6		v4A♯, v4B♭
69	766.7	14/9	v3A♯, v3B♭
70	777.8	47/30	vvA♯, vvB♭
71	788.9	30/19, 41/26	vA♯, vB♭
72	800	27/17, 46/29	A♯, B♭
73	811.1		^A♯, ^B♭
74	822.2	37/23, 45/28	^^A♯, ^^B♭
75	833.3	34/21	^3A♯, ^3B♭
76	844.4		^4A♯, ^4B♭
77	855.6	41/25	v4A𝄪, v4B
78	866.7	33/20	v3A𝄪, v3B
79	877.8		vvA𝄪, vvB
80	888.9		vA𝄪, vB
81	900	37/22	B
82	911.1	22/13	^B, ^C♭
83	922.2		^^B, ^^C♭
84	933.3	12/7	^3B, ^3C♭
85	944.4	19/11	^4B, ^4C♭
86	955.6	33/19	v4B♯, v4C
87	966.7	7/4	v3B♯, v3C
88	977.8	44/25	vvB♯, vvC
89	988.9	23/13	vB♯, vC
90	1000	41/23	C
91	1011.1	43/24	^C, ^D♭♭
92	1022.2		^^C, ^^D♭♭
93	1033.3	20/11	^3C, ^3D♭♭
94	1044.4		^4C, ^4D♭♭
95	1055.6	35/19, 46/25	v4C♯, v4D♭
96	1066.7	37/20	v3C♯, v3D♭
97	1077.8	41/22	vvC♯, vvD♭
98	1088.9	15/8	vC♯, vD♭
99	1100	17/9	C♯, D♭
100	1111.1	19/10	^C♯, ^D♭
101	1122.2	44/23	^^C♯, ^^D♭
102	1133.3	25/13	^3C♯, ^3D♭
103	1144.4	31/16	^4C♯, ^4D♭
104	1155.6	37/19, 39/20	v4C𝄪, v4D
105	1166.7		v3C𝄪, v3D
106	1177.8		vvC𝄪, vvD
107	1188.9		vC𝄪, vD
108	1200	2/1	D

See also

• Template:Modlink