Template:Interval table: Difference between revisions

Revision as of 09:23, 4 July 2023

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).

Parameter	Meaning
tuning	The tuning used, set to the page name by default

12edo:

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

19edo:

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

13edt:

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

@@ Line 1: / Line 1: @@
 {{#invoke:Interval_table|interval_table|tuning={{{1|{{PAGENAME}}}}} }}
 <noinclude>
-The '''interval table''' template creates a table of intervals for an [[EPD|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 [[EDO]]s, [[ups and downs notation]] (based on [[Template:Ups and downs note name]]).
+The '''interval table''' template automatically generates a table of intervals for an [[EPD|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 [[EDO]]s, [[ups and downs notation]] (based on [[Template:Ups and downs note name]]).
 {|class="wikitable
 |-