Template:Interval table: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| (41 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
{{#invoke:Interval_table|interval_table|tuning={{{1|{{PAGENAME | <includeonly>{{safesubst:#invoke: Interval_table | interval_table | ||
| tuning={{{1|{{safesubst:PAGENAME}}}}} | |||
| additional={{{additional|}}} | |||
{| | | max_error={{{max_error|35}}} | ||
| | | debug={{safesubst:lc: {{{debug|}}}}} | ||
}}{{safesubst:#if: {{{debug|}}}||{{Todo|replace auto-generated table of intervals with manually curated table}}}}</includeonly><noinclude> | |||
{{Documentation}} | |||
| | |||
| | [[Category:Interval list templates]] | ||
| | |||
{{ | |||
{{ | |||
{{ | |||
</noinclude> | </noinclude> | ||
Latest revision as of 16:40, 20 February 2026
- This template is implemented by the Lua module Module:Interval table.
- This template invokes the following functions: interval_table from Interval table.
| This template may be substituted. |
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, unless a value is entered for the debug parameter.
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.
debug- Renders the table in wikitext with highlighting. The table still shows up as normal if
subst:is used, except that the page will not be added to the hidden category.
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 |