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).

Parameters

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

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|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|96edo}}

Result:

Steps	Cents	Approximate ratios	Ups and downs notation
0	0	1/1	D
1	12.5		^D, ^E♭♭
2	25		^^D, ^^E♭♭
3	37.5	44/43	^³D, ^³E♭♭
4	50	34/33, 37/36	^⁴D, v⁴E♭
5	62.5		v³D♯, v³E♭
6	75	23/22, 24/23	vvD♯, vvE♭
7	87.5	20/19, 41/39	vD♯, vE♭
8	100	18/17	D♯, E♭
9	112.5	16/15	^D♯, ^E♭
10	125	29/27, 43/40	^^D♯, ^^E♭
11	137.5	13/12, 40/37	^³D♯, ^³E♭
12	150	12/11	^⁴D♯, v⁴E
13	162.5	11/10	v³D𝄪, v³E
14	175	21/19, 31/28	vvD𝄪, vvE
15	187.5	29/26	vD𝄪, vE
16	200	37/33	E
17	212.5	26/23, 35/31, 43/38	^E, ^F♭
18	225	33/29, 41/36	^^E, ^^F♭
19	237.5	39/34	^³E, ^³F♭
20	250	15/13, 37/32	^⁴E, v⁴F
21	262.5	43/37	v³E♯, v³F
22	275	27/23, 34/29	vvE♯, vvF
23	287.5	13/11	vE♯, vF
24	300	19/16, 25/21, 44/37	F
25	312.5		^F, ^G♭♭
26	325	41/34	^^F, ^^G♭♭
27	337.5		^³F, ^³G♭♭
28	350	11/9, 38/31	^⁴F, v⁴G♭
29	362.5	37/30	v³F♯, v³G♭
30	375	31/25, 36/29, 41/33	vvF♯, vvG♭
31	387.5	5/4	vF♯, vG♭
32	400	29/23, 34/27	F♯, G♭
33	412.5	33/26	^F♯, ^G♭
34	425	23/18, 32/25	^^F♯, ^^G♭
35	437.5		^³F♯, ^³G♭
36	450		^⁴F♯, v⁴G
37	462.5	17/13, 30/23	v³F𝄪, v³G
38	475	25/19	vvF𝄪, vvG
39	487.5		vF𝄪, vG
40	500	4/3	G
41	512.5	39/29, 43/32	^G, ^A♭♭
42	525	23/17, 42/31	^^G, ^^A♭♭
43	537.5	15/11	^³G, ^³A♭♭
44	550	11/8	^⁴G, v⁴A♭
45	562.5	18/13	v³G♯, v³A♭
46	575		vvG♯, vvA♭
47	587.5		vG♯, vA♭
48	600	41/29	G♯, A♭
49	612.5	37/26	^G♯, ^A♭
50	625	33/23, 43/30	^^G♯, ^^A♭
51	637.5	13/9	^³G♯, ^³A♭
52	650	16/11	^⁴G♯, v⁴A
53	662.5	22/15	v³G𝄪, v³A
54	675	31/21, 34/23	vvG𝄪, vvA
55	687.5		vG𝄪, vA
56	700	3/2	A
57	712.5		^A, ^B♭♭
58	725	38/25, 41/27	^^A, ^^B♭♭
59	737.5	23/15, 26/17	^³A, ^³B♭♭
60	750	37/24	^⁴A, v⁴B♭
61	762.5		v³A♯, v³B♭
62	775	25/16, 36/23	vvA♯, vvB♭
63	787.5	41/26	vA♯, vB♭
64	800	27/17	A♯, B♭
65	812.5	8/5	^A♯, ^B♭
66	825	29/18, 37/23	^^A♯, ^^B♭
67	837.5		^³A♯, ^³B♭
68	850	18/11, 31/19	^⁴A♯, v⁴B
69	862.5		v³A𝄪, v³B
70	875		vvA𝄪, vvB
71	887.5		vA𝄪, vB
72	900	32/19, 37/22, 42/25	B
73	912.5	22/13, 39/23	^B, ^C♭
74	925	29/17, 41/24	^^B, ^^C♭
75	937.5	43/25	^³B, ^³C♭
76	950	26/15	^⁴B, v⁴C
77	962.5		v³B♯, v³C
78	975		vvB♯, vvC
79	987.5	23/13	vB♯, vC
80	1000	41/23	C
81	1012.5		^C, ^D♭♭
82	1025	38/21	^^C, ^^D♭♭
83	1037.5	20/11	^³C, ^³D♭♭
84	1050	11/6	^⁴C, v⁴D♭
85	1062.5	24/13, 37/20	v³C♯, v³D♭
86	1075		vvC♯, vvD♭
87	1087.5	15/8	vC♯, vD♭
88	1100	17/9	C♯, D♭
89	1112.5	19/10	^C♯, ^D♭
90	1125	23/12, 44/23	^^C♯, ^^D♭
91	1137.5		^³C♯, ^³D♭
92	1150	33/17	^⁴C♯, v⁴D
93	1162.5	43/22	v³C𝄪, v³D
94	1175		vvC𝄪, vvD
95	1187.5		vC𝄪, vD
96	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