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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, [[cent]]s, approximate [[JI]] [[ratio]]s (based on the [[patent val]] [[mapping]] and discarding those which are [[consistency|inconsistent]]), 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, [[cent]]s, approximate [[JI]] [[ratio]]s (based on the [[patent val]] [[mapping]] and discarding those which are [[consistency|inconsistent]]), and, for [[edo]]s, [[ups and downs notation]] (based on [[Template: Ups and downs note name]]). | ||
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{{{{ROOTPAGENAME}}|108edo}} | {{{{ROOTPAGENAME}}|108edo}} | ||
Revision as of 15:08, 31 January 2025
Template:Modlink 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 discarding those which are inconsistent), and, for edos, ups and downs notation (based on Template: Ups and downs note name).
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
{{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|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 |
{{Interval table|36edo}}
Result:
Steps | Cents | Approximate ratios | Ups and downs notation |
---|---|---|---|
0 | 0 | 1/1 | D |
1 | 33.3 | ^D, ^E♭♭ | |
2 | 66.7 | 24/23, 27/26, 28/27, 29/28 | vD♯, vE♭ |
3 | 100 | 17/16, 18/17, 19/18 | D♯, E♭ |
4 | 133.3 | 13/12, 14/13 | ^D♯, ^E♭ |
5 | 166.7 | 11/10, 21/19 | vD𝄪, vE |
6 | 200 | 9/8, 19/17 | E |
7 | 233.3 | 8/7 | ^E, ^F♭ |
8 | 266.7 | 7/6 | vE♯, vF |
9 | 300 | 19/16 | F |
10 | 333.3 | 17/14, 23/19, 28/23, 29/24 | ^F, ^G♭♭ |
11 | 366.7 | 16/13, 21/17, 26/21 | vF♯, vG♭ |
12 | 400 | 24/19, 29/23 | F♯, G♭ |
13 | 433.3 | 9/7 | ^F♯, ^G♭ |
14 | 466.7 | 17/13, 21/16 | vF𝄪, vG |
15 | 500 | 4/3 | G |
16 | 533.3 | 15/11, 19/14 | ^G, ^A♭♭ |
17 | 566.7 | 18/13, 29/21 | vG♯, vA♭ |
18 | 600 | 17/12, 24/17 | G♯, A♭ |
19 | 633.3 | 13/9, 23/16 | ^G♯, ^A♭ |
20 | 666.7 | 22/15, 28/19 | vG𝄪, vA |
21 | 700 | 3/2 | A |
22 | 733.3 | 23/15, 26/17, 29/19 | ^A, ^B♭♭ |
23 | 766.7 | 14/9 | vA♯, vB♭ |
24 | 800 | 19/12, 27/17 | A♯, B♭ |
25 | 833.3 | 13/8, 21/13, 29/18 | ^A♯, ^B♭ |
26 | 866.7 | 23/14, 28/17 | vA𝄪, vB |
27 | 900 | 27/16 | B |
28 | 933.3 | 12/7 | ^B, ^C♭ |
29 | 966.7 | 7/4 | vB♯, vC |
30 | 1000 | 16/9 | C |
31 | 1033.3 | 20/11, 29/16 | ^C, ^D♭♭ |
32 | 1066.7 | 13/7, 24/13 | vC♯, vD♭ |
33 | 1100 | 17/9 | C♯, D♭ |
34 | 1133.3 | 23/12, 27/14, 29/15 | ^C♯, ^D♭ |
35 | 1166.7 | vC𝄪, vD | |
36 | 1200 | 2/1 | D |
{{Interval table|60edo}}
Result:
Steps | Cents | Approximate ratios | Ups and downs notation |
---|---|---|---|
0 | 0 | 1/1 | D |
1 | 20 | ^D, ^E♭♭ | |
2 | 40 | ^^D, ^^E♭♭ | |
3 | 60 | 28/27, 29/28, 30/29, 31/30 | vvD♯, vvE♭ |
4 | 80 | 21/20 | vD♯, vE♭ |
5 | 100 | 18/17 | D♯, E♭ |
6 | 120 | 15/14, 29/27 | ^D♯, ^E♭ |
7 | 140 | 13/12, 25/23 | ^^D♯, ^^E♭ |
8 | 160 | 23/21, 34/31 | vvD𝄪, vvE |
9 | 180 | 10/9, 31/28 | vD𝄪, vE |
10 | 200 | 9/8, 28/25 | E |
11 | 220 | 17/15 | ^E, ^F♭ |
12 | 240 | 23/20, 31/27 | ^^E, ^^F♭ |
13 | 260 | 29/25 | vvE♯, vvF |
14 | 280 | 20/17, 27/23 | vE♯, vF |
15 | 300 | 19/16, 25/21, 31/26 | F |
16 | 320 | 6/5 | ^F, ^G♭♭ |
17 | 340 | 17/14, 28/23 | ^^F, ^^G♭♭ |
18 | 360 | 16/13 | vvF♯, vvG♭ |
19 | 380 | vF♯, vG♭ | |
20 | 400 | 24/19, 29/23, 34/27 | F♯, G♭ |
21 | 420 | 23/18 | ^F♯, ^G♭ |
22 | 440 | 31/24 | ^^F♯, ^^G♭ |
23 | 460 | 17/13, 30/23 | vvF𝄪, vvG |
24 | 480 | vF𝄪, vG | |
25 | 500 | 4/3 | G |
26 | 520 | 23/17, 27/20, 31/23 | ^G, ^A♭♭ |
27 | 540 | 26/19 | ^^G, ^^A♭♭ |
28 | 560 | 18/13, 29/21 | vvG♯, vvA♭ |
29 | 580 | 7/5 | vG♯, vA♭ |
30 | 600 | 17/12, 24/17 | G♯, A♭ |
31 | 620 | 10/7 | ^G♯, ^A♭ |
32 | 640 | 13/9, 29/20 | ^^G♯, ^^A♭ |
33 | 660 | 19/13 | vvG𝄪, vvA |
34 | 680 | 34/23 | vG𝄪, vA |
35 | 700 | 3/2 | A |
36 | 720 | ^A, ^B♭♭ | |
37 | 740 | 23/15, 26/17 | ^^A, ^^B♭♭ |
38 | 760 | 31/20 | vvA♯, vvB♭ |
39 | 780 | vA♯, vB♭ | |
40 | 800 | 19/12, 27/17 | A♯, B♭ |
41 | 820 | ^A♯, ^B♭ | |
42 | 840 | 13/8 | ^^A♯, ^^B♭ |
43 | 860 | 23/14, 28/17 | vvA𝄪, vvB |
44 | 880 | 5/3 | vA𝄪, vB |
45 | 900 | 32/19 | B |
46 | 920 | 17/10 | ^B, ^C♭ |
47 | 940 | 31/18 | ^^B, ^^C♭ |
48 | 960 | 33/19 | vvB♯, vvC |
49 | 980 | 30/17 | vB♯, vC |
50 | 1000 | 16/9, 25/14 | C |
51 | 1020 | 9/5 | ^C, ^D♭♭ |
52 | 1040 | 31/17 | ^^C, ^^D♭♭ |
53 | 1060 | 24/13 | vvC♯, vvD♭ |
54 | 1080 | 28/15 | vC♯, vD♭ |
55 | 1100 | 17/9 | C♯, D♭ |
56 | 1120 | ^C♯, ^D♭ | |
57 | 1140 | 27/14, 29/15 | ^^C♯, ^^D♭ |
58 | 1160 | vvC𝄪, vvD | |
59 | 1180 | vC𝄪, vD | |
60 | 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|84edo}}
Result:
Steps | Cents | Approximate ratios | Ups and downs notation |
---|---|---|---|
0 | 0 | 1/1 | D |
1 | 14.3 | ^D, ^E♭♭ | |
2 | 28.6 | ^^D, ^^E♭♭ | |
3 | 42.9 | 39/38, 40/39, 41/40 | ^3D, ^3E♭♭ |
4 | 57.1 | 30/29, 31/30, 32/31 | v3D♯, v3E♭ |
5 | 71.4 | 24/23, 25/24 | vvD♯, vvE♭ |
6 | 85.7 | 21/20, 41/39 | vD♯, vE♭ |
7 | 100 | 18/17, 35/33 | D♯, E♭ |
8 | 114.3 | 16/15, 31/29 | ^D♯, ^E♭ |
9 | 128.6 | 14/13, 41/38 | ^^D♯, ^^E♭ |
10 | 142.9 | 25/23, 38/35 | ^3D♯, ^3E♭ |
11 | 157.1 | 23/21, 34/31, 35/32 | v3D𝄪, v3E |
12 | 171.4 | 21/19, 32/29 | vvD𝄪, vvE |
13 | 185.7 | 39/35 | vD𝄪, vE |
14 | 200 | 37/33 | E |
15 | 214.3 | 17/15, 26/23 | ^E, ^F♭ |
16 | 228.6 | 8/7 | ^^E, ^^F♭ |
17 | 242.9 | 23/20, 38/33 | ^3E, ^3F♭ |
18 | 257.1 | 29/25, 36/31 | v3E♯, v3F |
19 | 271.4 | 41/35 | vvE♯, vvF |
20 | 285.7 | 33/28 | vE♯, vF |
21 | 300 | 19/16, 25/21 | F |
22 | 314.3 | 6/5 | ^F, ^G♭♭ |
23 | 328.6 | 23/19, 29/24, 35/29 | ^^F, ^^G♭♭ |
24 | 342.9 | 28/23, 39/32 | ^3F, ^3G♭♭ |
25 | 357.1 | 16/13 | v3F♯, v3G♭ |
26 | 371.4 | 26/21, 31/25, 36/29 | vvF♯, vvG♭ |
27 | 385.7 | 5/4 | vF♯, vG♭ |
28 | 400 | 29/23, 34/27, 39/31 | F♯, G♭ |
29 | 414.3 | 33/26 | ^F♯, ^G♭ |
30 | 428.6 | 32/25, 41/32 | ^^F♯, ^^G♭ |
31 | 442.9 | 31/24, 40/31 | ^3F♯, ^3G♭ |
32 | 457.1 | 13/10, 30/23 | v3F𝄪, v3G |
33 | 471.4 | 21/16 | vvF𝄪, vvG |
34 | 485.7 | 41/31 | vF𝄪, vG |
35 | 500 | 4/3 | G |
36 | 514.3 | 31/23, 35/26, 39/29 | ^G, ^A♭♭ |
37 | 528.6 | 19/14 | ^^G, ^^A♭♭ |
38 | 542.9 | 26/19, 41/30 | ^3G, ^3A♭♭ |
39 | 557.1 | 29/21, 40/29 | v3G♯, v3A♭ |
40 | 571.4 | 25/18, 32/23, 39/28 | vvG♯, vvA♭ |
41 | 585.7 | vG♯, vA♭ | |
42 | 600 | 17/12, 24/17, 41/29 | G♯, A♭ |
43 | 614.3 | ^G♯, ^A♭ | |
44 | 628.6 | 23/16, 36/25 | ^^G♯, ^^A♭ |
45 | 642.9 | 29/20 | ^3G♯, ^3A♭ |
46 | 657.1 | 19/13 | v3G𝄪, v3A |
47 | 671.4 | 28/19, 31/21 | vvG𝄪, vvA |
48 | 685.7 | vG𝄪, vA | |
49 | 700 | 3/2 | A |
50 | 714.3 | ^A, ^B♭♭ | |
51 | 728.6 | 32/21, 35/23 | ^^A, ^^B♭♭ |
52 | 742.9 | 20/13, 23/15 | ^3A, ^3B♭♭ |
53 | 757.1 | 31/20 | v3A♯, v3B♭ |
54 | 771.4 | 25/16, 39/25 | vvA♯, vvB♭ |
55 | 785.7 | 41/26 | vA♯, vB♭ |
56 | 800 | 27/17 | A♯, B♭ |
57 | 814.3 | 8/5 | ^A♯, ^B♭ |
58 | 828.6 | 21/13, 29/18 | ^^A♯, ^^B♭ |
59 | 842.9 | 13/8 | ^3A♯, ^3B♭ |
60 | 857.1 | 23/14, 41/25 | v3A𝄪, v3B |
61 | 871.4 | 38/23 | vvA𝄪, vvB |
62 | 885.7 | 5/3 | vA𝄪, vB |
63 | 900 | 32/19, 37/22 | B |
64 | 914.3 | 39/23 | ^B, ^C♭ |
65 | 928.6 | 41/24 | ^^B, ^^C♭ |
66 | 942.9 | 31/18 | ^3B, ^3C♭ |
67 | 957.1 | 33/19, 40/23 | v3B♯, v3C |
68 | 971.4 | 7/4 | vvB♯, vvC |
69 | 985.7 | 23/13, 30/17 | vB♯, vC |
70 | 1000 | 41/23 | C |
71 | 1014.3 | ^C, ^D♭♭ | |
72 | 1028.6 | 29/16, 38/21 | ^^C, ^^D♭♭ |
73 | 1042.9 | 31/17 | ^3C, ^3D♭♭ |
74 | 1057.1 | 35/19 | v3C♯, v3D♭ |
75 | 1071.4 | 13/7 | vvC♯, vvD♭ |
76 | 1085.7 | 15/8 | vC♯, vD♭ |
77 | 1100 | 17/9 | C♯, D♭ |
78 | 1114.3 | 40/21 | ^C♯, ^D♭ |
79 | 1128.6 | 23/12 | ^^C♯, ^^D♭ |
80 | 1142.9 | 29/15, 31/16 | ^3C♯, ^3D♭ |
81 | 1157.1 | 39/20, 41/21 | v3C𝄪, v3D |
82 | 1171.4 | vvC𝄪, vvD | |
83 | 1185.7 | vC𝄪, vD | |
84 | 1200 | 2/1 | D |
{{Interval table|108edo}}
Result:
Steps | Cents | Approximate ratios | Ups and downs notation |
---|---|---|---|
0 | 0 | 1/1 | D |
1 | 11.1 | ^D, ^E♭♭ | |
2 | 22.2 | ^^D, ^^E♭♭ | |
3 | 33.3 | ^3D, ^3E♭♭ | |
4 | 44.4 | 38/37, 39/38, 40/39, 41/40 | ^4D, ^4E♭♭ |
5 | 55.6 | 31/30, 32/31 | v4D♯, v4E♭ |
6 | 66.7 | 26/25 | v3D♯, v3E♭ |
7 | 77.8 | 23/22, 45/43 | vvD♯, vvE♭ |
8 | 88.9 | 20/19, 39/37 | vD♯, vE♭ |
9 | 100 | 18/17, 35/33 | D♯, E♭ |
10 | 111.1 | 16/15 | ^D♯, ^E♭ |
11 | 122.2 | 44/41 | ^^D♯, ^^E♭ |
12 | 133.3 | 40/37, 41/38 | ^3D♯, ^3E♭ |
13 | 144.4 | 25/23, 38/35 | ^4D♯, ^4E♭ |
14 | 155.6 | 35/32, 47/43 | v4D𝄪, v4E |
15 | 166.7 | 11/10 | v3D𝄪, v3E |
16 | 177.8 | 31/28, 41/37 | vvD𝄪, vvE |
17 | 188.9 | 29/26, 39/35 | vD𝄪, vE |
18 | 200 | 37/33, 46/41 | E |
19 | 211.1 | 26/23, 35/31 | ^E, ^F♭ |
20 | 222.2 | 25/22, 33/29 | ^^E, ^^F♭ |
21 | 233.3 | 8/7 | ^3E, ^3F♭ |
22 | 244.4 | 38/33 | ^4E, ^4F♭ |
23 | 255.6 | 22/19, 29/25 | v4E♯, v4F |
24 | 266.7 | 7/6 | v3E♯, v3F |
25 | 277.8 | 47/40 | vvE♯, vvF |
26 | 288.9 | 13/11 | vE♯, vF |
27 | 300 | 44/37 | F |
28 | 311.1 | ^F, ^G♭♭ | |
29 | 322.2 | 47/39 | ^^F, ^^G♭♭ |
30 | 333.3 | 40/33 | ^3F, ^3G♭♭ |
31 | 344.4 | 39/32 | ^4F, ^4G♭♭ |
32 | 355.6 | 43/35 | v4F♯, v4G♭ |
33 | 366.7 | 21/17, 47/38 | v3F♯, v3G♭ |
34 | 377.8 | 41/33, 46/37 | vvF♯, vvG♭ |
35 | 388.9 | vF♯, vG♭ | |
36 | 400 | 29/23, 34/27 | F♯, G♭ |
37 | 411.1 | 19/15, 33/26 | ^F♯, ^G♭ |
38 | 422.2 | 37/29 | ^^F♯, ^^G♭ |
39 | 433.3 | 9/7 | ^3F♯, ^3G♭ |
40 | 444.4 | 31/24 | ^4F♯, ^4G♭ |
41 | 455.6 | 13/10 | v4F𝄪, v4G |
42 | 466.7 | 38/29 | v3F𝄪, v3G |
43 | 477.8 | 29/22 | vvF𝄪, vvG |
44 | 488.9 | vF𝄪, vG | |
45 | 500 | 4/3 | G |
46 | 511.1 | 39/29, 43/32, 47/35 | ^G, ^A♭♭ |
47 | 522.2 | ^^G, ^^A♭♭ | |
48 | 533.3 | ^3G, ^3A♭♭ | |
49 | 544.4 | 26/19 | ^4G, ^4A♭♭ |
50 | 555.6 | 40/29 | v4G♯, v4A♭ |
51 | 566.7 | 43/31 | v3G♯, v3A♭ |
52 | 577.8 | vvG♯, vvA♭ | |
53 | 588.9 | 45/32 | vG♯, vA♭ |
54 | 600 | 41/29 | G♯, A♭ |
55 | 611.1 | 37/26, 47/33 | ^G♯, ^A♭ |
56 | 622.2 | 43/30 | ^^G♯, ^^A♭ |
57 | 633.3 | ^3G♯, ^3A♭ | |
58 | 644.4 | 29/20, 45/31 | ^4G♯, ^4A♭ |
59 | 655.6 | 19/13 | v4G𝄪, v4A |
60 | 666.7 | 47/32 | v3G𝄪, v3A |
61 | 677.8 | 37/25 | vvG𝄪, vvA |
62 | 688.9 | vG𝄪, vA | |
63 | 700 | 3/2 | A |
64 | 711.1 | ^A, ^B♭♭ | |
65 | 722.2 | 44/29, 47/31 | ^^A, ^^B♭♭ |
66 | 733.3 | 29/19 | ^3A, ^3B♭♭ |
67 | 744.4 | 20/13, 43/28 | ^4A, ^4B♭♭ |
68 | 755.6 | v4A♯, v4B♭ | |
69 | 766.7 | 14/9 | v3A♯, v3B♭ |
70 | 777.8 | 47/30 | vvA♯, vvB♭ |
71 | 788.9 | 30/19, 41/26 | vA♯, vB♭ |
72 | 800 | 27/17, 46/29 | A♯, B♭ |
73 | 811.1 | ^A♯, ^B♭ | |
74 | 822.2 | 37/23, 45/28 | ^^A♯, ^^B♭ |
75 | 833.3 | 34/21 | ^3A♯, ^3B♭ |
76 | 844.4 | ^4A♯, ^4B♭ | |
77 | 855.6 | 41/25 | v4A𝄪, v4B |
78 | 866.7 | 33/20 | v3A𝄪, v3B |
79 | 877.8 | vvA𝄪, vvB | |
80 | 888.9 | vA𝄪, vB | |
81 | 900 | 37/22 | B |
82 | 911.1 | 22/13 | ^B, ^C♭ |
83 | 922.2 | ^^B, ^^C♭ | |
84 | 933.3 | 12/7 | ^3B, ^3C♭ |
85 | 944.4 | 19/11 | ^4B, ^4C♭ |
86 | 955.6 | 33/19 | v4B♯, v4C |
87 | 966.7 | 7/4 | v3B♯, v3C |
88 | 977.8 | 44/25 | vvB♯, vvC |
89 | 988.9 | 23/13 | vB♯, vC |
90 | 1000 | 41/23 | C |
91 | 1011.1 | 43/24 | ^C, ^D♭♭ |
92 | 1022.2 | ^^C, ^^D♭♭ | |
93 | 1033.3 | 20/11 | ^3C, ^3D♭♭ |
94 | 1044.4 | ^4C, ^4D♭♭ | |
95 | 1055.6 | 35/19, 46/25 | v4C♯, v4D♭ |
96 | 1066.7 | 37/20 | v3C♯, v3D♭ |
97 | 1077.8 | 41/22 | vvC♯, vvD♭ |
98 | 1088.9 | 15/8 | vC♯, vD♭ |
99 | 1100 | 17/9 | C♯, D♭ |
100 | 1111.1 | 19/10 | ^C♯, ^D♭ |
101 | 1122.2 | 44/23 | ^^C♯, ^^D♭ |
102 | 1133.3 | 25/13 | ^3C♯, ^3D♭ |
103 | 1144.4 | 31/16 | ^4C♯, ^4D♭ |
104 | 1155.6 | 37/19, 39/20 | v4C𝄪, v4D |
105 | 1166.7 | v3C𝄪, v3D | |
106 | 1177.8 | vvC𝄪, vvD | |
107 | 1188.9 | vC𝄪, vD | |
108 | 1200 | 2/1 | D |