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: Not currently working. Changes the maximum error cutoff for approximate ratios in cents. | : Not currently working. Changes the maximum error cutoff for approximate ratios in cents. | ||
{{Todo|inline=1|cleanup|text=give template substitution example | {{Todo|inline=1|cleanup, add example|text=give template substitution example}} | ||
=== Examples === | === Examples === | ||
Revision as of 06:45, 28 December 2025
- This template is implemented by the Lua module Module:Interval table.
- This template invokes the following functions: interval_table from Interval table.
The interval table template automatically generates a table of intervals for an equal 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).
Pages using this template will be added to Category: Todo:replace auto-generated table of intervals with manually curated table.
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 |