Template:Interval table
| 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 |
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, for EDOs, ups and downs notation (based on Template:Ups and downs note name).
| Parameter | Meaning |
|---|---|
| tuning | The tuning used, set to the page name by default |
Examples
12edo:
| 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 |
19edo:
| Steps | Cents | Approximate ratios | Ups and downs notation |
|---|---|---|---|
| 0 | 0 | 1/1 | D |
| 1 | 63.2 | 23/22, 24/23 | D♯, E♭♭ |
| 2 | 126.3 | 13/12, 14/13, 15/14, 16/15 | D𝄪, E♭ |
| 3 | 189.5 | 9/8, 10/9, 19/17 | E |
| 4 | 252.6 | 7/6, 15/13, 22/19, 23/20 | E♯, F♭ |
| 5 | 315.8 | 6/5, 23/19 | F |
| 6 | 378.9 | 5/4 | F♯, G♭♭ |
| 7 | 442.1 | 9/7, 13/10, 22/17 | F𝄪, G♭ |
| 8 | 505.3 | 4/3 | G |
| 9 | 568.4 | 7/5, 18/13 | G♯, A♭♭ |
| 10 | 631.6 | 10/7, 13/9, 23/16 | G𝄪, A♭ |
| 11 | 694.7 | 3/2 | A |
| 12 | 757.9 | 14/9, 17/11, 20/13 | A♯, B♭♭ |
| 13 | 821.1 | 8/5, 21/13 | A𝄪, B♭ |
| 14 | 884.2 | 5/3 | B |
| 15 | 947.4 | 12/7, 19/11 | B♯, C♭ |
| 16 | 1010.5 | 9/5, 16/9 | C |
| 17 | 1073.7 | 13/7, 15/8, 24/13 | C♯, D♭♭ |
| 18 | 1136.8 | 23/12 | C𝄪, D♭ |
| 19 | 1200 | 2/1 | D |
13edt:
| 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 |