Template:Interval table

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

The interval table template automatically generates a table of intervals for an equal pitch division system. Like most of the manual interval tables on this wiki, it includes the step number, cents, approximate JI ratios (based on the patent val mapping), and, for EDOs, ups and downs notation (based on Template:Ups and downs note name).

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|19edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	63.2	23/22, 24/23	D♯, E♭♭
2	126.3	13/12, 14/13, 15/14, 16/15	D𝄪, E♭
3	189.5	9/8, 10/9, 19/17	E
4	252.6	7/6, 15/13, 22/19, 23/20	E♯, F♭
5	315.8	6/5, 23/19	F
6	378.9	5/4	F♯, G♭♭
7	442.1	9/7, 13/10, 22/17	F𝄪, G♭
8	505.3	4/3	G
9	568.4	7/5, 18/13	G♯, A♭♭
10	631.6	10/7, 13/9, 23/16	G𝄪, A♭
11	694.7	3/2	A
12	757.9	14/9, 17/11, 20/13	A♯, B♭♭
13	821.1	8/5, 21/13	A𝄪, B♭
14	884.2	5/3	B
15	947.4	12/7, 19/11	B♯, C♭
16	1010.5	9/5, 16/9	C
17	1073.7	13/7, 15/8, 24/13	C♯, D♭♭
18	1136.8	23/12	C𝄪, D♭
19	1200	2/1	D

{{Interval table|70edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	17.1		^D, ^3E♭♭
2	34.3		^^D, v3E♭
3	51.4	32/31, 33/32, 34/33	^3D, vvE♭
4	68.6	27/26	v3D♯, vE♭
5	85.7	21/20	vvD♯, E♭
6	102.9	17/16	vD♯, ^E♭
7	120	15/14, 29/27	D♯, ^^E♭
8	137.1	13/12	^D♯, ^3E♭
9	154.3	12/11, 23/21	^^D♯, v3E
10	171.4	32/29	^3D♯, vvE
11	188.6	29/26	v3D𝄪, vE
12	205.7	9/8	E
13	222.9	33/29	^E, ^3F♭
14	240	23/20, 31/27	^^E, v3F
15	257.1	22/19, 36/31	^3E, vvF
16	274.3	27/23, 34/29	v3E♯, vF
17	291.4	13/11, 32/27	F
18	308.6	37/31	^F, ^3G♭♭
19	325.7	29/24	^^F, v3G♭
20	342.9	28/23	^3F, vvG♭
21	360	16/13, 37/30	v3F♯, vG♭
22	377.1	36/29	vvF♯, G♭
23	394.3		vF♯, ^G♭
24	411.4	33/26	F♯, ^^G♭
25	428.6		^F♯, ^3G♭
26	445.7	22/17, 31/24	^^F♯, v3G
27	462.9	17/13, 30/23	^3F♯, vvG
28	480	29/22, 37/28	v3F𝄪, vG
29	497.1	4/3	G
30	514.3	31/23	^G, ^3A♭♭
31	531.4		^^G, v3A♭
32	548.6	11/8, 37/27	^3G, vvA♭
33	565.7	18/13	v3G♯, vA♭
34	582.9	7/5	vvG♯, A♭
35	600	17/12, 24/17	vG♯, ^A♭
36	617.1	10/7	G♯, ^^A♭
37	634.3	13/9	^G♯, ^3A♭
38	651.4	16/11	^^G♯, v3A
39	668.6		^3G♯, vvA
40	685.7		v3G𝄪, vA
41	702.9	3/2	A
42	720		^A, ^3B♭♭
43	737.1	23/15, 26/17	^^A, v3B♭
44	754.3	17/11	^3A, vvB♭
45	771.4		v3A♯, vB♭
46	788.6		vvA♯, B♭
47	805.7		vA♯, ^B♭
48	822.9	29/18, 37/23	A♯, ^^B♭
49	840	13/8	^A♯, ^3B♭
50	857.1	23/14	^^A♯, v3B
51	874.3		^3A♯, vvB
52	891.4		v3A𝄪, vB
53	908.6	22/13, 27/16	B
54	925.7	29/17	^B, ^3C♭
55	942.9	19/11, 31/18	^^B, v3C
56	960		^3B, vvC
57	977.1	37/21	v3B♯, vC
58	994.3	16/9	C
59	1011.4		^C, ^3D♭♭
60	1028.6	29/16	^^C, v3D♭
61	1045.7	11/6	^3C, vvD♭
62	1062.9	24/13, 37/20	v3C♯, vD♭
63	1080	28/15	vvC♯, D♭
64	1097.1	32/17	vC♯, ^D♭
65	1114.3		C♯, ^^D♭
66	1131.4		^C♯, ^3D♭
67	1148.6	31/16, 33/17	^^C♯, v3D
68	1165.7		^3C♯, vvD
69	1182.9		v3C𝄪, vD
70	1200	2/1	D

{{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