Template:Interval table: Difference between revisions

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== Examples ==
== Examples ==
12edo:
<pre>{{Interval table|tuning=12edo}}</pre>
{{Interval table|12edo}}
Result:
19edo:
{{Interval table|tuning=12edo}}
{{Interval table|19edo}}
 
35edo:
<pre>{{Interval table|tuning=19edo}}</pre>
{{Interval table|35edo}}
Result:
13edt:
{{Interval table|tuning=19edo}}
{{Interval table|13edt}}
 
<pre>{{Interval table|tuning=35edo}}</pre>
Result:
{{Interval table|tuning=35edo}}
 
<pre>{{Interval table|tuning=13edt}}</pre>
Result:
{{Interval table|tuning=13edt}}
</noinclude>
</noinclude>

Revision as of 02:40, 5 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

Examples

{{Interval table|tuning=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|tuning=19edo}}

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|tuning=35edo}}

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|tuning=13edt}}

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


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