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|35edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation (Dual flat fifth 20\35)	Ups and downs notation (Dual sharp fifth 21\35)
0	0	1/1	D	D
1	34.3		D, E	^D, ^E♭, ^F♭
2	68.6	23/22, 24/23, 25/24	D, E	^^D, ^^E♭, ^^F♭
3	102.9	17/16	D, E	^³D, ^³E♭, ^³F♭
4	137.1	25/23	D, E	v³D♯, v³E, v³F
5	171.4	11/10	E	vvD♯, vvE, vvF
6	205.7		E, F	vD♯, vE, vF
7	240	23/20	E, F	E, F
8	274.3	7/6, 20/17	E, F	^E, ^F, ^G♭
9	308.6	6/5, 25/21	E, F	^^E, ^^F, ^^G♭
10	342.9	17/14, 28/23	F	^³E, ^³F, ^³G♭
11	377.1		F, G	v³E♯, v³F♯, v³G
12	411.4	14/11	F, G	vvE♯, vvF♯, vvG
13	445.7	22/17	F, G	vE♯, vF♯, vG
14	480		F, G	G
15	514.3		G	^G, ^A♭
16	548.6	11/8, 26/19	G, A	^^G, ^^A♭
17	582.9	7/5	G, A	^³G, ^³A♭
18	617.1	10/7	G, A	v³G♯, v³A
19	651.4	16/11, 19/13	G, A	vvG♯, vvA
20	685.7		A	vG♯, vA
21	720		A, B	A
22	754.3	17/11	A, B	^A, ^B♭, ^C♭
23	788.6	11/7	A, B	^^A, ^^B♭, ^^C♭
24	822.9		A, B	^³A, ^³B♭, ^³C♭
25	857.1	23/14, 28/17	B	v³A♯, v³B, v³C
26	891.4	5/3	B, C	vvA♯, vvB, vvC
27	925.7	12/7, 17/10	B, C	vA♯, vB, vC
28	960		B, C	B, C
29	994.3		B, C	^B, ^C, ^D♭
30	1028.6	20/11	C	^^B, ^^C, ^^D♭
31	1062.9		C, D	^³B, ^³C, ^³D♭
32	1097.1		C, D	v³B♯, v³C♯, v³D
33	1131.4	23/12	C, D	vvB♯, vvC♯, vvD
34	1165.7		C, D	vB♯, vC♯, vD
35	1200	2/1	D	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