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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]]). | |||
=== Parameters === | === Parameters === | ||
; <code>additonal</code> | ; <code>additonal</code> | ||
Line 5: | Line 7: | ||
; <code>max_error</code> | ; <code>max_error</code> | ||
: Changes the maximum error cutoff for approximate ratios in cents | : Not currently working. Changes the maximum error cutoff for approximate ratios in cents. | ||
=== Examples === | === Examples === | ||
<pre>{{Interval table|12edo}}</pre> | <pre>{{Interval table|12edo}}</pre> | ||
Result: | Result: | ||
{{ | {{{{ROOTPAGENAME}}|12edo}} | ||
<pre>{{Interval table|13edo|additional= | <pre>{{Interval table|13edo|additional= | ||
Line 35: | Line 33: | ||
Result: | Result: | ||
{{ | {{{{ROOTPAGENAME}}|13edo|additional= | ||
[[26edo]] names; Fox-Raven<br>Notation (J = 360Hz) | [[26edo]] names; Fox-Raven<br>Notation (J = 360Hz) | ||
C; J | C; J | ||
Line 53: | Line 51: | ||
}} | }} | ||
<pre>{{Interval table| | <pre>{{Interval table|13edt}}</pre> | ||
Result: | Result: | ||
{{Interval table| | {{{{ROOTPAGENAME}}|13edt}} | ||
<pre>{{Interval table|36edo}}</pre> | |||
Result: | |||
{{{{ROOTPAGENAME}}|36edo}} | |||
<pre>{{Interval table|60edo}}</pre> | |||
Result: | |||
{{{{ROOTPAGENAME}}|60edo}} | |||
<pre>{{Interval table|71edo}}</pre> | <pre>{{Interval table|71edo}}</pre> | ||
Result: | Result: | ||
{{ | {{{{ROOTPAGENAME}}|71edo}} | ||
<pre>{{Interval table| | <pre>{{Interval table|84edo}}</pre> | ||
Result: | Result: | ||
{{ | {{{{ROOTPAGENAME}}|84edo}} | ||
<pre>{{Interval table|108edo}}</pre> | |||
Result: | |||
{{{{ROOTPAGENAME}}|108edo}} |
Latest revision as of 03:16, 16 February 2025
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This template uses Lua: |
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 |