Template:Interval table: Difference between revisions

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{{Interval table|19edo}}
{{Interval table|19edo}}


<pre>{{Interval table|54edo}}</pre>
<pre>{{Interval table|70edo}}</pre>
Result:
Result:
{{Interval table|54edo}}
{{Interval table|70edo}}


<pre>{{Interval table|13edt}}</pre>
<pre>{{Interval table|13edt}}</pre>

Revision as of 00:39, 6 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).

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|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


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