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{{dochead}}
{{dochead}}
=== Parameters ===
=== Parameters ===
{| class="wikitable"
; <code>additonal</code>
|-
: Additional rows and columns that can be added to the table. Columns are separated by semicolons.
! Paramater
 
! Description
; <code>max_error</code>
|-
: Changes the maximum error cutoff for approximate ratios in cents. The default is 2/5 of an edo step. If the tuning is not an edo (e.g. 12edf), then it will use 2/5 of an edo step of the same-numbered edo (e.g. 12edo).
| additonal
| Additional rows and columns that can be added to the table. Columns are separated by semicolons.
|-
| max_error
| Changes the maximum error cutoff for approximate ratios in cents. The default is 2/5 of an edo step. If the tuning is not an edo (e.g. 12edf), then it will use 2/5 of an edo step of the same-numbered edo (e.g. 12edo).
|}


=== Examples ===
=== Examples ===

Revision as of 18:53, 10 July 2024

Parameters

additonal
Additional rows and columns that can be added to the table. Columns are separated by semicolons.
max_error
Changes the maximum error cutoff for approximate ratios in cents. The default is 2/5 of an edo step. If the tuning is not an edo (e.g. 12edf), then it will use 2/5 of an edo step of the same-numbered edo (e.g. 12edo).

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|12edo|threshold=0.2}}

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|71edo}}

Result:

Steps Cents Approximate ratios Ups and downs notation
(Dual flat fifth 41\71) 		Ups and downs notation
(Dual sharp fifth 42\71)
0 0 1/1 D D
1 16.9 ^D, vE♭♭♭ ^D, vvE♭
2 33.8 vD♯, E♭♭♭ ^^D, vE♭
3 50.7 35/34 D♯, ^E♭♭♭ ^3D, E♭
4 67.6 25/24, 26/25 ^D♯, vE♭♭ ^4D, ^E♭
5 84.5 21/20 vD𝄪, E♭♭ ^5D, ^^E♭
6 101.4 17/16 D𝄪, ^E♭♭ v4D♯, ^3E♭
7 118.3 31/29 ^D𝄪, vE♭ v3D♯, ^4E♭
8 135.2 13/12 vD♯𝄪, E♭ vvD♯, v5E
9 152.1 12/11, 35/32 D♯𝄪, ^E♭ vD♯, v4E
10 169 32/29 ^D♯𝄪, vE D♯, v3E
11 185.9 29/26 E ^D♯, vvE
12 202.8 ^E, vF♭♭ ^^D♯, vE
13 219.7 25/22 vE♯, F♭♭ E
14 236.6 E♯, ^F♭♭ ^E, vvF
15 253.5 22/19, 29/25, 37/32 ^E♯, vF♭ ^^E, vF
16 270.4 vE𝄪, F♭ F
17 287.3 13/11 E𝄪, ^F♭ ^F, vvG♭
18 304.2 25/21, 31/26, 37/31 ^E𝄪, vF ^^F, vG♭
19 321.1 F ^3F, G♭
20 338 17/14, 28/23 ^F, vG♭♭♭ ^4F, ^G♭
21 354.9 vF♯, G♭♭♭ ^5F, ^^G♭
22 371.8 26/21, 31/25 F♯, ^G♭♭♭ v4F♯, ^3G♭
23 388.7 5/4 ^F♯, vG♭♭ v3F♯, ^4G♭
24 405.6 19/15, 24/19 vF𝄪, G♭♭ vvF♯, v5G
25 422.5 37/29 F𝄪, ^G♭♭ vF♯, v4G
26 439.4 31/24 ^F𝄪, vG♭ F♯, v3G
27 456.3 13/10 vF♯𝄪, G♭ ^F♯, vvG
28 473.2 21/16, 25/19 F♯𝄪, ^G♭ ^^F♯, vG
29 490.1 ^F♯𝄪, vG G
30 507 G ^G, vvA♭
31 523.9 23/17 ^G, vA♭♭♭ ^^G, vA♭
32 540.8 26/19 vG♯, A♭♭♭ ^3G, A♭
33 557.7 29/21 G♯, ^A♭♭♭ ^4G, ^A♭
34 574.6 32/23 ^G♯, vA♭♭ ^5G, ^^A♭
35 591.5 31/22 vG𝄪, A♭♭ v4G♯, ^3A♭
36 608.5 37/26 G𝄪, ^A♭♭ v3G♯, ^4A♭
37 625.4 23/16 ^G𝄪, vA♭ vvG♯, v5A
38 642.3 29/20 vG♯𝄪, A♭ vG♯, v4A
39 659.2 19/13 G♯𝄪, ^A♭ G♯, v3A
40 676.1 31/21, 34/23, 37/25 ^G♯𝄪, vA ^G♯, vvA
41 693 A ^^G♯, vA
42 709.9 ^A, vB♭♭♭ A
43 726.8 32/21, 35/23 vA♯, B♭♭♭ ^A, vvB♭
44 743.7 20/13 A♯, ^B♭♭♭ ^^A, vB♭
45 760.6 31/20 ^A♯, vB♭♭ ^3A, B♭
46 777.5 vA𝄪, B♭♭ ^4A, ^B♭
47 794.4 19/12, 30/19 A𝄪, ^B♭♭ ^5A, ^^B♭
48 811.3 8/5 ^A𝄪, vB♭ v4A♯, ^3B♭
49 828.2 21/13 vA♯𝄪, B♭ v3A♯, ^4B♭
50 845.1 31/19 A♯𝄪, ^B♭ vvA♯, v5B
51 862 23/14, 28/17 ^A♯𝄪, vB vA♯, v4B
52 878.9 B A♯, v3B
53 895.8 ^B, vC♭♭ ^A♯, vvB
54 912.7 22/13 vB♯, C♭♭ ^^A♯, vB
55 929.6 B♯, ^C♭♭ B
56 946.5 19/11 ^B♯, vC♭ ^B, vvC
57 963.4 vB𝄪, C♭ ^^B, vC
58 980.3 37/21 B𝄪, ^C♭ C
59 997.2 ^B𝄪, vC ^C, vvD♭
60 1014.1 C ^^C, vD♭
61 1031 29/16 ^C, vD♭♭♭ ^3C, D♭
62 1047.9 11/6 vC♯, D♭♭♭ ^4C, ^D♭
63 1064.8 24/13, 37/20 C♯, ^D♭♭♭ ^5C, ^^D♭
64 1081.7 ^C♯, vD♭♭ v4C♯, ^3D♭
65 1098.6 32/17 vC𝄪, D♭♭ v3C♯, ^4D♭
66 1115.5 C𝄪, ^D♭♭ vvC♯, v5D
67 1132.4 25/13 ^C𝄪, vD♭ vC♯, v4D
68 1149.3 vC♯𝄪, D♭ C♯, v3D
69 1166.2 C♯𝄪, ^D♭ ^C♯, vvD
70 1183.1 ^C♯𝄪, vD ^^C♯, vD
71 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

See also

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