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Revision as of 10:20, 13 October 2024 by BudjarnLambeth (talk | contribs) (Created page with "{{dochead}} === Parameters === ; <code>additonal</code> : Additional rows and columns that can be added to the table. Columns are separated by semicolons. ; <code>max_error</...")
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Parameters

additonal
Additional rows and columns that can be added to the table. Columns are separated by semicolons.
max_error
Not currently working. Changes the maximum error cutoff for approximate ratios in cents.

Examples

{{Huge table|12edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1, 23/22, 26/25, 34/33, 36/35, 39/38, 45/44, 46/45, 50/49, 51/49, 51/50, 52/51 D
1 100 12/11, 13/12, 15/14, 16/15, 17/16, 18/17, 19/18, 20/19, 21/20, 22/21, 23/21, 24/23, 25/24, 27/25, 27/26, 28/27, 33/32, 35/33, 35/34, 38/35, 39/35, 40/39, 49/48, 54/49 D♯, E♭
2 200 8/7, 9/8, 10/9, 11/10, 13/11, 14/13, 17/15, 19/17, 21/19, 23/20, 25/22, 25/23, 26/23, 28/25, 35/32, 38/33, 39/34, 49/44, 49/45, 49/46, 51/44, 51/46, 52/45 E
3 300 6/5, 7/6, 15/13, 17/14, 19/16, 20/17, 22/19, 23/19, 25/21, 26/21, 27/22, 27/23, 32/27, 33/28, 39/32, 40/33, 44/39, 45/38, 46/39 F
4 400 5/4, 9/7, 11/9, 13/10, 14/11, 16/13, 19/15, 21/17, 23/18, 24/19, 28/23, 32/25, 34/27, 44/35, 46/35, 49/40, 51/40 F♯, G♭
5 500 4/3, 15/11, 17/13, 19/14, 21/16, 22/17, 23/17, 25/19, 26/19, 27/20, 30/23, 33/25, 33/26, 34/25, 35/27, 39/28, 45/34, 46/33, 48/35, 49/38, 50/39, 51/38 G
6 600 7/5, 10/7, 11/8, 13/9, 16/11, 17/12, 18/13, 23/16, 24/17, 25/18, 27/19, 32/23, 35/26, 36/25, 38/27, 45/32, 49/36, 51/35, 52/35 G♯, A♭
7 700 3/2, 17/11, 19/13, 22/15, 23/15, 25/17, 26/17, 28/19, 32/21, 33/23, 34/23, 35/24, 38/25, 39/25, 40/27, 49/33, 49/34, 50/33, 52/33, 54/35 A
8 800 8/5, 11/7, 13/8, 14/9, 18/11, 19/12, 20/13, 23/14, 25/16, 27/17, 30/19, 34/21, 35/22, 35/23, 36/23, 45/28, 49/32, 51/32 A♯, B♭
9 900 5/3, 12/7, 17/10, 19/11, 21/13, 26/15, 27/16, 28/17, 32/19, 33/20, 38/23, 39/22, 39/23, 42/25, 44/27, 46/27, 49/30 B
10 1000 7/4, 9/5, 13/7, 16/9, 20/11, 22/13, 23/13, 25/14, 30/17, 33/19, 34/19, 38/21, 40/23, 44/25, 45/26, 46/25, 51/28 C
11 1100 11/6, 15/8, 17/9, 19/10, 21/11, 23/12, 24/13, 27/14, 28/15, 32/17, 35/19, 36/19, 39/20, 40/21, 42/23, 48/25, 49/27, 50/27, 52/27 C♯, D♭
12 1200 2/1, 25/13, 33/17, 35/18, 44/23, 45/23, 49/25, 51/26 D 
{{Huge 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, 25/24, 34/33, 35/34, 40/39, 46/45, 52/51 D D C J
1 92.308 10/9, 13/12, 14/13, 16/15, 17/16, 20/19, 21/20, 22/21, 23/22, 24/23, 25/23, 26/25, 33/32, 35/32, 39/38, 45/44, 50/49, 51/50 E ^D, vF Cx/Dbb J#/Kb
2 184.615 7/6, 11/10, 12/11, 15/14, 17/15, 18/17, 19/17, 21/19, 23/21, 25/22, 26/23, 28/25, 38/33, 38/35, 44/39, 51/46, 52/45, 52/49 ^E, F♭ F D K
3 276.923 8/7, 9/8, 11/9, 13/11, 15/13, 19/16, 20/17, 22/19, 23/20, 25/21, 28/23, 39/34, 39/35, 40/33, 46/39, 49/40, 51/44 vE♯, ^F♭ E Dx/Ebb L
4 369.231 5/4, 6/5, 14/11, 16/13, 17/14, 19/15, 21/17, 23/18, 23/19, 26/21, 27/23, 33/28, 39/32, 45/38, 49/38, 50/39 E♯, vF ^E, vG E L#/Mb
5 461.538 4/3, 13/10, 17/13, 21/16, 22/17, 24/19, 25/19, 30/23, 32/25, 33/26, 35/26, 44/35, 51/40 F G Ex/Fb M
6 553.846 7/5, 11/8, 13/9, 15/11, 17/12, 19/14, 23/17, 26/19, 32/23, 33/25, 34/25, 45/34, 46/33, 46/35, 49/34, 51/38 G ^G, vvA F# M#/Nb
7 646.154 10/7, 16/11, 18/13, 19/13, 22/15, 23/16, 24/17, 25/17, 28/19, 33/23, 34/23, 35/23, 39/28, 45/32, 49/32, 50/33 A ^^G, vA Gb N
8 738.462 3/2, 17/11, 19/12, 20/13, 23/15, 25/16, 26/17, 32/21, 35/22, 38/25, 51/35, 52/33, 52/35 B A G# O
9 830.769 5/3, 8/5, 11/7, 13/8, 21/13, 28/17, 30/19, 34/21, 36/23, 38/23, 39/25, 46/27, 51/32 ^B, C♭ ^A, vC Ab O#/Pb
10 923.077 7/4, 16/9, 17/10, 18/11, 19/11, 22/13, 23/14, 26/15, 32/19, 33/20, 39/23, 40/23, 42/25 vB♯, ^C♭ C A# P
11 1015.385 11/6, 12/7, 17/9, 20/11, 23/13, 25/14, 28/15, 30/17, 33/19, 34/19, 35/19, 38/21, 39/22, 42/23, 44/25, 45/26, 49/26 B♯, vC B Bb Q
12 1107.692 9/5, 13/7, 15/8, 19/10, 21/11, 23/12, 24/13, 25/13, 32/17, 40/21, 44/23, 46/25, 49/25, 51/28 C ^B, vD B#/Cbb Q#/Jb
13 1200 2/1, 33/17, 39/20, 45/23, 48/25, 51/26 D D C J 
{{Huge table|13edt}}

Result:

Steps Cents Approximate Ratios
0 0 1/1, 20/19, 22/21, 24/23, 26/25, 28/27, 35/34, 36/35, 39/38, 40/39, 46/45, 50/49
1 146.304 8/7, 10/9, 11/10, 12/11, 13/12, 14/13, 15/14, 19/17, 19/18, 21/19, 21/20, 23/21, 23/22, 25/23, 25/24, 26/23, 27/25, 27/26, 28/25, 35/33, 38/35, 39/34, 39/35, 44/39, 49/45, 49/46, 51/49, 54/49
2 292.608 6/5, 7/6, 9/8, 11/9, 13/11, 15/13, 16/13, 17/15, 21/17, 23/19, 23/20, 25/21, 25/22, 26/21, 27/23, 28/23, 33/28, 38/33, 40/33, 45/38, 46/39
3 438.913 4/3, 5/4, 9/7, 13/10, 14/11, 19/15, 23/17, 23/18, 25/19, 27/22, 30/23, 33/25, 33/26, 34/27, 35/27, 45/34, 46/35, 49/38, 49/39, 49/40, 50/39
4 585.217 7/5, 10/7, 11/8, 13/9, 15/11, 16/11, 18/13, 19/14, 22/15, 25/17, 25/18, 27/19, 27/20, 28/19, 33/23, 34/25, 35/26, 36/25, 38/27, 39/28, 46/33, 49/34, 49/36, 51/38
5 731.521 3/2, 8/5, 11/7, 14/9, 19/13, 20/13, 23/15, 27/17, 30/19, 34/23, 35/23, 35/24, 36/23, 38/25, 39/25, 49/33, 50/33, 51/35, 52/33, 54/35
6 877.825 5/3, 12/7, 13/8, 18/11, 19/12, 21/13, 22/13, 23/14, 26/15, 33/19, 33/20, 34/21, 35/22, 38/23, 39/23, 40/23, 42/25, 45/28, 46/27, 49/30
7 1024.13 7/4, 9/5, 11/6, 13/7, 19/11, 20/11, 23/13, 24/13, 25/14, 28/15, 34/19, 35/19, 36/19, 38/21, 39/22, 40/21, 42/23, 45/26, 46/25, 49/27, 50/27
8 1170.434 2/1, 15/8, 17/9, 19/10, 21/11, 23/12, 25/13, 27/14, 35/18, 39/20, 45/23, 49/25, 49/26
9 1316.738
10 1463.042
11 1609.347
12 1755.651
13 1901.955 
{{Huge table|12edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1, 23/22, 26/25, 34/33, 36/35, 39/38, 45/44, 46/45, 50/49, 51/49, 51/50, 52/51 D
1 100 12/11, 13/12, 15/14, 16/15, 17/16, 18/17, 19/18, 20/19, 21/20, 22/21, 23/21, 24/23, 25/24, 27/25, 27/26, 28/27, 33/32, 35/33, 35/34, 38/35, 39/35, 40/39, 49/48, 54/49 D♯, E♭
2 200 8/7, 9/8, 10/9, 11/10, 13/11, 14/13, 17/15, 19/17, 21/19, 23/20, 25/22, 25/23, 26/23, 28/25, 35/32, 38/33, 39/34, 49/44, 49/45, 49/46, 51/44, 51/46, 52/45 E
3 300 6/5, 7/6, 15/13, 17/14, 19/16, 20/17, 22/19, 23/19, 25/21, 26/21, 27/22, 27/23, 32/27, 33/28, 39/32, 40/33, 44/39, 45/38, 46/39 F
4 400 5/4, 9/7, 11/9, 13/10, 14/11, 16/13, 19/15, 21/17, 23/18, 24/19, 28/23, 32/25, 34/27, 44/35, 46/35, 49/40, 51/40 F♯, G♭
5 500 4/3, 15/11, 17/13, 19/14, 21/16, 22/17, 23/17, 25/19, 26/19, 27/20, 30/23, 33/25, 33/26, 34/25, 35/27, 39/28, 45/34, 46/33, 48/35, 49/38, 50/39, 51/38 G
6 600 7/5, 10/7, 11/8, 13/9, 16/11, 17/12, 18/13, 23/16, 24/17, 25/18, 27/19, 32/23, 35/26, 36/25, 38/27, 45/32, 49/36, 51/35, 52/35 G♯, A♭
7 700 3/2, 17/11, 19/13, 22/15, 23/15, 25/17, 26/17, 28/19, 32/21, 33/23, 34/23, 35/24, 38/25, 39/25, 40/27, 49/33, 49/34, 50/33, 52/33, 54/35 A
8 800 8/5, 11/7, 13/8, 14/9, 18/11, 19/12, 20/13, 23/14, 25/16, 27/17, 30/19, 34/21, 35/22, 35/23, 36/23, 45/28, 49/32, 51/32 A♯, B♭
9 900 5/3, 12/7, 17/10, 19/11, 21/13, 26/15, 27/16, 28/17, 32/19, 33/20, 38/23, 39/22, 39/23, 42/25, 44/27, 46/27, 49/30 B
10 1000 7/4, 9/5, 13/7, 16/9, 20/11, 22/13, 23/13, 25/14, 30/17, 33/19, 34/19, 38/21, 40/23, 44/25, 45/26, 46/25, 51/28 C
11 1100 11/6, 15/8, 17/9, 19/10, 21/11, 23/12, 24/13, 27/14, 28/15, 32/17, 35/19, 36/19, 39/20, 40/21, 42/23, 48/25, 49/27, 50/27, 52/27 C♯, D♭
12 1200 2/1, 25/13, 33/17, 35/18, 44/23, 45/23, 49/25, 51/26 D 
{{Huge table|36edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1 D
1 33.333 34/33, 36/35, 39/38, 45/44, 46/45, 49/48, 52/51 ^D, ^E♭♭
2 66.667 21/20, 23/22, 24/23, 27/26, 28/27, 33/32, 35/34, 40/39, 50/49, 51/49 vD♯, vE♭
3 100 16/15, 17/16, 18/17, 19/18, 20/19, 22/21, 25/24, 27/25, 35/33, 49/46, 52/49 D♯, E♭
4 133.333 12/11, 13/12, 14/13, 15/14, 38/35, 49/45 ^D♯, ^E♭
5 166.667 11/10, 21/19, 23/21, 25/23, 28/25, 35/32, 39/35, 49/44, 51/46, 54/49 vD𝄪, vE
6 200 9/8, 10/9, 17/15, 19/17, 26/23 E
7 233.333 8/7, 23/20, 25/22, 38/33, 39/34, 44/39, 51/44, 52/45 ^E, ^F♭
8 266.667 7/6, 13/11, 15/13, 22/19, 27/23 vE♯, vF
9 300 6/5, 19/16, 20/17, 32/27, 33/28, 45/38, 46/39 F
10 333.333 17/14, 23/19, 25/21, 27/22, 28/23, 39/32, 40/33, 49/40 ^F, ^G♭♭
11 366.667 11/9, 16/13, 21/17, 26/21 vF♯, vG♭
12 400 5/4, 14/11, 19/15, 24/19, 32/25, 34/27, 44/35, 49/39, 51/40 F♯, G♭
13 433.333 9/7, 13/10, 23/18, 33/26, 49/38 ^F♯, ^G♭
14 466.667 17/13, 21/16, 22/17, 30/23, 33/25, 35/27, 46/35 vF𝄪, vG
15 500 4/3, 25/19, 27/20, 34/25, 45/34, 51/38 G
16 533.333 15/11, 19/14, 23/17, 26/19, 35/26, 48/35, 49/36 ^G, ^A♭♭
17 566.667 7/5, 11/8, 18/13, 32/23, 39/28, 46/33 vG♯, vA♭
18 600 17/12, 24/17, 25/18, 27/19, 36/25, 38/27, 45/32 G♯, A♭
19 633.333 10/7, 13/9, 16/11, 23/16, 33/23, 49/34, 51/35 ^G♯, ^A♭
20 666.667 19/13, 22/15, 28/19, 34/23, 35/24, 49/33, 52/35 vG𝄪, vA
21 700 3/2, 25/17, 38/25, 40/27 A
22 733.333 17/11, 23/15, 26/17, 32/21, 35/23, 49/32, 50/33, 54/35 ^A, ^B♭♭
23 766.667 14/9, 20/13, 36/23, 52/33 vA♯, vB♭
24 800 8/5, 11/7, 19/12, 25/16, 27/17, 30/19, 35/22, 51/32 A♯, B♭
25 833.333 13/8, 18/11, 21/13, 34/21, 45/28, 49/30 ^A♯, ^B♭
26 866.667 23/14, 28/17, 33/20, 38/23, 42/25, 44/27 vA𝄪, vB
27 900 5/3, 17/10, 27/16, 32/19, 39/23 B
28 933.333 12/7, 19/11, 22/13, 26/15, 46/27 ^B, ^C♭
29 966.667 7/4, 33/19, 39/22, 40/23, 44/25, 45/26 vB♯, vC
30 1000 9/5, 16/9, 23/13, 30/17, 34/19 C
31 1033.333 20/11, 25/14, 38/21, 42/23, 46/25, 49/27, 51/28 ^C, ^D♭♭
32 1066.667 11/6, 13/7, 24/13, 28/15, 35/19 vC♯, vD♭
33 1100 15/8, 17/9, 19/10, 21/11, 32/17, 36/19, 48/25, 49/26, 50/27 C♯, D♭
34 1133.333 23/12, 27/14, 39/20, 40/21, 44/23, 49/25, 52/27 ^C♯, ^D♭
35 1166.667 33/17, 35/18, 45/23, 51/26 vC𝄪, vD
36 1200 2/1 D 
{{Huge table|60edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1 D
1 20 45/44, 49/48 ^D, ^E♭♭
2 40 34/33, 35/34, 39/38, 40/39, 46/45, 50/49, 51/50, 52/51 ^^D, ^^E♭♭
3 60 23/22, 25/24, 27/26, 28/27, 33/32, 36/35 vvD♯, vvE♭
4 80 20/19, 21/20, 24/23, 26/25, 51/49 vD♯, vE♭
5 100 17/16, 18/17, 19/18, 22/21, 49/46 D♯, E♭
6 120 14/13, 15/14, 16/15, 52/49 ^D♯, ^E♭
7 140 12/11, 13/12, 25/23, 27/25, 35/32, 49/45 ^^D♯, ^^E♭
8 160 21/19, 23/21, 38/35 vvD𝄪, vvE
9 180 10/9, 11/10, 51/46, 54/49 vD𝄪, vE
10 200 9/8, 19/17, 28/25, 39/35 E
11 220 17/15, 26/23, 44/39 ^E, ^F♭
12 240 8/7, 15/13, 23/20, 38/33, 39/34, 51/44 ^^E, ^^F♭
13 260 7/6, 22/19, 52/45 vvE♯, vvF
14 280 13/11, 20/17, 27/23, 45/38, 46/39 vE♯, vF
15 300 19/16, 25/21, 32/27, 33/28 F
16 320 6/5, 23/19, 40/33 ^F, ^G♭♭
17 340 17/14, 27/22, 28/23, 39/32, 49/40 ^^F, ^^G♭♭
18 360 11/9, 16/13, 21/17 vvF♯, vvG♭
19 380 5/4, 26/21, 49/39 vF♯, vG♭
20 400 14/11, 24/19, 34/27 F♯, G♭
21 420 19/15, 23/18, 33/26, 50/39, 51/40 ^F♯, ^G♭
22 440 9/7, 32/25, 35/27 ^^F♯, ^^G♭
23 460 13/10, 17/13, 21/16, 22/17, 25/19, 30/23 vvF𝄪, vvG
24 480 45/34, 46/35 vF𝄪, vG
25 500 4/3, 33/25, 35/26, 51/38 G
26 520 15/11, 23/17, 27/20, 49/36 ^G, ^A♭♭
27 540 19/14, 26/19, 34/25 ^^G, ^^A♭♭
28 560 11/8, 18/13, 25/18, 46/33, 48/35 vvG♯, vvA♭
29 580 7/5, 32/23, 39/28, 45/32 vG♯, vA♭
30 600 17/12, 24/17, 27/19, 38/27 G♯, A♭
31 620 10/7, 23/16, 49/34 ^G♯, ^A♭
32 640 13/9, 16/11, 33/23, 35/24, 36/25 ^^G♯, ^^A♭
33 660 19/13, 25/17, 28/19, 51/35 vvG𝄪, vvA
34 680 22/15, 34/23, 40/27 vG𝄪, vA
35 700 3/2, 50/33, 52/35 A
36 720 35/23, 49/32 ^A, ^B♭♭
37 740 17/11, 20/13, 23/15, 26/17, 32/21, 38/25 ^^A, ^^B♭♭
38 760 14/9, 25/16, 54/35 vvA♯, vvB♭
39 780 30/19, 36/23, 39/25, 52/33 vA♯, vB♭
40 800 11/7, 19/12, 27/17, 51/32 A♯, B♭
41 820 8/5, 21/13, 45/28 ^A♯, ^B♭
42 840 13/8, 18/11, 34/21, 49/30 ^^A♯, ^^B♭
43 860 23/14, 28/17, 44/27 vvA𝄪, vvB
44 880 5/3, 33/20, 38/23 vA𝄪, vB
45 900 27/16, 32/19, 42/25 B
46 920 17/10, 22/13, 39/23, 46/27 ^B, ^C♭
47 940 12/7, 19/11, 45/26 ^^B, ^^C♭
48 960 7/4, 26/15, 33/19, 40/23 vvB♯, vvC
49 980 23/13, 30/17, 39/22 vB♯, vC
50 1000 16/9, 25/14, 34/19 C
51 1020 9/5, 20/11, 49/27 ^C, ^D♭♭
52 1040 35/19, 38/21, 42/23, 51/28 ^^C, ^^D♭♭
53 1060 11/6, 24/13, 46/25, 50/27 vvC♯, vvD♭
54 1080 13/7, 15/8, 28/15, 49/26 vC♯, vD♭
55 1100 17/9, 21/11, 32/17, 36/19 C♯, D♭
56 1120 19/10, 23/12, 25/13, 40/21 ^C♯, ^D♭
57 1140 27/14, 35/18, 44/23, 48/25, 52/27 ^^C♯, ^^D♭
58 1160 33/17, 39/20, 45/23, 49/25, 51/26 vvC𝄪, vvD
59 1180 vC𝄪, vD
60 1200 2/1 D 
{{Huge table|84edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1 D
1 14.286 ^D, ^E♭♭
2 28.571 45/44, 50/49, 51/50 ^^D, ^^E♭♭
3 42.857 34/33, 36/35, 39/38, 40/39, 46/45, 49/48, 52/51 ^3D, ^3E♭♭
4 57.143 27/26, 33/32, 35/34, 51/49 v3D♯, v3E♭
5 71.429 23/22, 24/23, 25/24, 26/25, 28/27 vvD♯, vvE♭
6 85.714 20/19, 21/20, 22/21 vD♯, vE♭
7 100 17/16, 18/17, 19/18, 35/33, 52/49 D♯, E♭
8 114.286 15/14, 16/15, 49/46 ^D♯, ^E♭
9 128.571 14/13, 27/25 ^^D♯, ^^E♭
10 142.857 12/11, 13/12, 25/23, 38/35 ^3D♯, ^3E♭
11 157.143 23/21, 35/32, 49/45, 54/49 v3D𝄪, v3E
12 171.429 11/10, 21/19, 51/46 vvD𝄪, vvE
13 185.714 10/9, 39/35, 49/44 vD𝄪, vE
14 200 9/8, 19/17, 28/25 E
15 214.286 17/15, 25/22, 26/23, 44/39 ^E, ^F♭
16 228.571 8/7 ^^E, ^^F♭
17 242.857 15/13, 23/20, 38/33, 39/34, 51/44 ^3E, ^3F♭
18 257.143 22/19, 52/45 v3E♯, v3F
19 271.429 7/6, 27/23 vvE♯, vvF
20 285.714 13/11, 20/17, 33/28, 45/38, 46/39 vE♯, vF
21 300 19/16, 25/21, 32/27 F
22 314.286 6/5 ^F, ^G♭♭
23 328.571 17/14, 23/19, 40/33 ^^F, ^^G♭♭
24 342.857 27/22, 28/23, 39/32 ^3F, ^3G♭♭
25 357.143 11/9, 16/13, 49/40 v3F♯, v3G♭
26 371.429 21/17, 26/21 vvF♯, vvG♭
27 385.714 5/4 vF♯, vG♭
28 400 24/19, 34/27, 44/35, 49/39 F♯, G♭
29 414.286 14/11, 19/15, 33/26, 51/40 ^F♯, ^G♭
30 428.571 9/7, 23/18, 32/25, 50/39 ^^F♯, ^^G♭
31 442.857 49/38 ^3F♯, ^3G♭
32 457.143 13/10, 17/13, 22/17, 30/23, 35/27 v3F𝄪, v3G
33 471.429 21/16, 25/19, 46/35 vvF𝄪, vvG
34 485.714 33/25, 45/34 vF𝄪, vG
35 500 4/3, 51/38 G
36 514.286 27/20, 35/26 ^G, ^A♭♭
37 528.571 15/11, 19/14, 23/17, 34/25 ^^G, ^^A♭♭
38 542.857 26/19, 48/35, 49/36 ^3G, ^3A♭♭
39 557.143 11/8, 18/13 v3G♯, v3A♭
40 571.429 25/18, 32/23, 39/28, 46/33 vvG♯, vvA♭
41 585.714 7/5, 45/32 vG♯, vA♭
42 600 17/12, 24/17, 27/19, 38/27 G♯, A♭
43 614.286 10/7 ^G♯, ^A♭
44 628.571 23/16, 33/23, 36/25 ^^G♯, ^^A♭
45 642.857 13/9, 16/11, 49/34, 51/35 ^3G♯, ^3A♭
46 657.143 19/13, 35/24 v3G𝄪, v3A
47 671.429 22/15, 25/17, 28/19, 34/23 vvG𝄪, vvA
48 685.714 40/27, 49/33, 52/35 vG𝄪, vA
49 700 3/2 A
50 714.286 50/33 ^A, ^B♭♭
51 728.571 32/21, 35/23, 38/25 ^^A, ^^B♭♭
52 742.857 17/11, 20/13, 23/15, 26/17, 49/32, 54/35 ^3A, ^3B♭♭
53 757.143 v3A♯, v3B♭
54 771.429 14/9, 25/16, 36/23, 39/25 vvA♯, vvB♭
55 785.714 11/7, 30/19, 52/33 vA♯, vB♭
56 800 19/12, 27/17, 35/22, 51/32 A♯, B♭
57 814.286 8/5, 45/28 ^A♯, ^B♭
58 828.571 21/13, 34/21 ^^A♯, ^^B♭
59 842.857 13/8, 18/11 ^3A♯, ^3B♭
60 857.143 23/14, 44/27, 49/30 v3A𝄪, v3B
61 871.429 28/17, 33/20, 38/23 vvA𝄪, vvB
62 885.714 5/3 vA𝄪, vB
63 900 27/16, 32/19, 42/25 B
64 914.286 17/10, 22/13, 39/23 ^B, ^C♭
65 928.571 12/7, 46/27 ^^B, ^^C♭
66 942.857 19/11, 45/26 ^3B, ^3C♭
67 957.143 26/15, 33/19, 40/23 v3B♯, v3C
68 971.429 7/4 vvB♯, vvC
69 985.714 23/13, 30/17, 39/22, 44/25 vB♯, vC
70 1000 16/9, 25/14, 34/19 C
71 1014.286 9/5 ^C, ^D♭♭
72 1028.571 20/11, 38/21, 51/28 ^^C, ^^D♭♭
73 1042.857 42/23, 49/27 ^3C, ^3D♭♭
74 1057.143 11/6, 24/13, 35/19, 46/25 v3C♯, v3D♭
75 1071.429 13/7, 50/27 vvC♯, vvD♭
76 1085.714 15/8, 28/15 vC♯, vD♭
77 1100 17/9, 32/17, 36/19, 49/26 C♯, D♭
78 1114.286 19/10, 21/11, 40/21 ^C♯, ^D♭
79 1128.571 23/12, 25/13, 27/14, 44/23, 48/25 ^^C♯, ^^D♭
80 1142.857 52/27 ^3C♯, ^3D♭
81 1157.143 33/17, 35/18, 39/20, 45/23, 51/26 v3C𝄪, v3D
82 1171.429 49/25 vvC𝄪, vvD
83 1185.714 vC𝄪, vD
84 1200 2/1 D 
{{Huge table|108edo}}

Result:

Steps Cents Approximate Ratios Ups and Downs Notation
0 0 1/1 D
1 11.111 ^D, ^E♭♭
2 22.222 ^^D, ^^E♭♭
3 33.333 45/44, 49/48 ^3D, ^3E♭♭
4 44.444 34/33, 36/35, 39/38, 40/39, 46/45, 50/49, 52/51 ^4D, ^4E♭♭
5 55.556 27/26, 33/32, 35/34 v4D♯, v4E♭
6 66.667 24/23, 26/25, 28/27, 51/49 v3D♯, v3E♭
7 77.778 21/20, 23/22, 25/24 vvD♯, vvE♭
8 88.889 20/19, 22/21 vD♯, vE♭
9 100 17/16, 18/17, 19/18, 35/33, 49/46 D♯, E♭
10 111.111 16/15, 52/49 ^D♯, ^E♭
11 122.222 14/13, 15/14, 27/25 ^^D♯, ^^E♭
12 133.333 ^3D♯, ^3E♭
13 144.444 12/11, 13/12, 25/23, 38/35, 49/45 ^4D♯, ^4E♭
14 155.556 35/32 v4D𝄪, v4E
15 166.667 11/10, 21/19, 23/21, 54/49 v3D𝄪, v3E
16 177.778 49/44 vvD𝄪, vvE
17 188.889 10/9, 28/25, 39/35 vD𝄪, vE
18 200 9/8, 19/17 E
19 211.111 17/15, 26/23, 44/39 ^E, ^F♭
20 222.222 25/22 ^^E, ^^F♭
21 233.333 8/7 ^3E, ^3F♭
22 244.444 15/13, 23/20, 38/33, 39/34 ^4E, ^4F♭
23 255.556 22/19, 52/45 v4E♯, v4F
24 266.667 7/6, 27/23 v3E♯, v3F
25 277.778 vvE♯, vvF
26 288.889 13/11, 20/17, 33/28, 45/38, 46/39 vE♯, vF
27 300 19/16, 32/27 F
28 311.111 6/5, 25/21 ^F, ^G♭♭
29 322.222 ^^F, ^^G♭♭
30 333.333 17/14, 23/19, 28/23, 40/33 ^3F, ^3G♭♭
31 344.444 27/22, 39/32, 49/40 ^4F, ^4G♭♭
32 355.556 11/9, 16/13 v4F♯, v4G♭
33 366.667 21/17 v3F♯, v3G♭
34 377.778 26/21 vvF♯, vvG♭
35 388.889 5/4, 49/39 vF♯, vG♭
36 400 24/19, 34/27, 44/35 F♯, G♭
37 411.111 14/11, 19/15, 33/26, 51/40 ^F♯, ^G♭
38 422.222 32/25 ^^F♯, ^^G♭
39 433.333 9/7, 23/18, 49/38, 50/39 ^3F♯, ^3G♭
40 444.444 ^4F♯, ^4G♭
41 455.556 13/10, 17/13, 22/17, 30/23, 35/27 v4F𝄪, v4G
42 466.667 21/16 v3F𝄪, v3G
43 477.778 25/19, 33/25, 46/35 vvF𝄪, vvG
44 488.889 45/34 vF𝄪, vG
45 500 4/3, 51/38 G
46 511.111 27/20, 35/26 ^G, ^A♭♭
47 522.222 34/25 ^^G, ^^A♭♭
48 533.333 15/11, 19/14, 23/17, 49/36 ^3G, ^3A♭♭
49 544.444 26/19, 48/35 ^4G, ^4A♭♭
50 555.556 11/8, 18/13 v4G♯, v4A♭
51 566.667 32/23 v3G♯, v3A♭
52 577.778 7/5, 25/18, 39/28, 46/33 vvG♯, vvA♭
53 588.889 45/32 vG♯, vA♭
54 600 17/12, 24/17, 27/19, 38/27 G♯, A♭
55 611.111 ^G♯, ^A♭
56 622.222 10/7, 33/23, 36/25 ^^G♯, ^^A♭
57 633.333 23/16, 49/34 ^3G♯, ^3A♭
58 644.444 13/9, 16/11, 51/35 ^4G♯, ^4A♭
59 655.556 19/13, 35/24 v4G𝄪, v4A
60 666.667 22/15, 28/19, 34/23 v3G𝄪, v3A
61 677.778 25/17, 49/33 vvG𝄪, vvA
62 688.889 40/27, 52/35 vG𝄪, vA
63 700 3/2 A
64 711.111 ^A, ^B♭♭
65 722.222 35/23, 38/25, 50/33 ^^A, ^^B♭♭
66 733.333 32/21, 49/32 ^3A, ^3B♭♭
67 744.444 17/11, 20/13, 23/15, 26/17, 54/35 ^4A, ^4B♭♭
68 755.556 v4A♯, v4B♭
69 766.667 14/9, 36/23, 39/25 v3A♯, v3B♭
70 777.778 25/16 vvA♯, vvB♭
71 788.889 11/7, 30/19, 52/33 vA♯, vB♭
72 800 19/12, 27/17, 35/22, 51/32 A♯, B♭
73 811.111 8/5 ^A♯, ^B♭
74 822.222 21/13, 45/28 ^^A♯, ^^B♭
75 833.333 34/21 ^3A♯, ^3B♭
76 844.444 13/8, 18/11, 49/30 ^4A♯, ^4B♭
77 855.556 44/27 v4A𝄪, v4B
78 866.667 23/14, 28/17, 33/20, 38/23 v3A𝄪, v3B
79 877.778 vvA𝄪, vvB
80 888.889 5/3, 42/25 vA𝄪, vB
81 900 27/16, 32/19 B
82 911.111 17/10, 22/13, 39/23 ^B, ^C♭
83 922.222 ^^B, ^^C♭
84 933.333 12/7, 46/27 ^3B, ^3C♭
85 944.444 19/11, 45/26 ^4B, ^4C♭
86 955.556 26/15, 33/19, 40/23 v4B♯, v4C
87 966.667 7/4 v3B♯, v3C
88 977.778 44/25 vvB♯, vvC
89 988.889 23/13, 30/17, 39/22 vB♯, vC
90 1000 16/9, 34/19 C
91 1011.111 9/5, 25/14 ^C, ^D♭♭
92 1022.222 ^^C, ^^D♭♭
93 1033.333 20/11, 38/21, 42/23, 49/27, 51/28 ^3C, ^3D♭♭
94 1044.444 ^4C, ^4D♭♭
95 1055.556 11/6, 24/13, 35/19, 46/25 v4C♯, v4D♭
96 1066.667 v3C♯, v3D♭
97 1077.778 13/7, 28/15, 50/27 vvC♯, vvD♭
98 1088.889 15/8, 49/26 vC♯, vD♭
99 1100 17/9, 32/17, 36/19 C♯, D♭
100 1111.111 19/10, 21/11 ^C♯, ^D♭
101 1122.222 40/21, 44/23, 48/25 ^^C♯, ^^D♭
102 1133.333 23/12, 25/13, 27/14 ^3C♯, ^3D♭
103 1144.444 52/27 ^4C♯, ^4D♭
104 1155.556 33/17, 35/18, 39/20, 45/23, 49/25, 51/26 v4C𝄪, v4D
105 1166.667 v3C𝄪, v3D
106 1177.778 vvC𝄪, vvD
107 1188.889 vC𝄪, vD
108 1200 2/1 D

See also

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