User:MisterShafXen/Sandbox
|
This user page is editable by any wiki editor.
As a general rule, most users expect their user space to be edited only by themselves, except for minor edits (e.g. maintenance), undoing obviously harmful edits such as vandalism or disruptive editing, and user talk pages. However, by including this message box, the author of this user page has indicated that this page is open to contributions from other users (e.g. content-related edits). |
34ed7
| ← 33ed7 | 34ed7 | 35ed7 → |
34 equal divisions of the 7th harmonic (abbreviated 34ed7) is a nonoctave tuning system that divides the interval of 7/1 into 34 equal parts of about 99.1 ¢ each. Each step represents a frequency ratio of 71/34, or the 34th root of 7. This tuning is a compressed 12edo.
| Steps | Cents | Approximate ratios | 12edo note names | 9\109-based note names |
|---|---|---|---|---|
| 0 | 0 | 1/1 | C | |
| 1 | 99.1 | 19/18 | C#/Db | ^^Db |
| 2 | 198.2 | 9/8, 28/25 | D | vD |
| 3 | 297.2 | 13/11, 19/16, 25/21 | D#/Eb | ^Eb |
| 4 | 396.3 | 24/19 | E | vvE |
| 5 | 495.4 | 4/3 | F | |
| 6 | 594.5 | F#/Gb | ^^Gb | |
| 7 | 693.6 | 3/2 | G | vG |
| 8 | 792.7 | 19/12 | G#/Ab | ^Ab |
| 9 | 891.7 | 5/3 | A | vvA |
| 10 | 990.8 | 16/9, 23/13 | A#/Bb | Bb |
| 11 | 1089.9 | 15/8 | B | vvvB |
| 12 | 1189 | C | vC | |
| 13 | 1288.1 | 19/9, 21/10 | C#/Db | ^Db |
| 14 | 1387.2 | 20/9 | D | vvD |
| 15 | 1486.2 | 26/11 | D#/Eb | Eb |
| 16 | 1585.3 | 5/2 | E | vvvE |
| 17 | 1684.4 | F | vF | |
| 18 | 1783.5 | 14/5 | F#/Gb | ^Gb |
| 19 | 1882.6 | G | vvG | |
| 20 | 1981.7 | 22/7 | G#/Ab | Ab |
| 21 | 2080.7 | 10/3 | A | vvvA |
| 22 | 2179.8 | A#/Bb | vBb | |
| 23 | 2278.9 | 26/7 | B | vvvvB |
| 24 | 2378 | C | vvC | |
| 25 | 2477.1 | 21/5, 25/6 | C#/Db | Db |
| 26 | 2576.2 | D | vvvD | |
| 27 | 2675.2 | 14/3 | D#/Eb | vEb |
| 28 | 2774.3 | E | vvvvE | |
| 29 | 2873.4 | 21/4 | F | vvF |
| 30 | 2972.5 | F#/Gb | Gb | |
| 31 | 3071.6 | G | vvvG | |
| 32 | 3170.7 | 25/4 | G#/Ab | vAb |
| 33 | 3269.7 | A | vvvvA | |
| 34 | 3368.8 | 7/1 | A#/Bb | vvBb |
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -11.0 | -19.4 | -22.0 | -12.0 | -30.4 | +0.0 | -33.0 | -38.8 | -23.0 | +10.2 | -41.4 |
| Relative (%) | -11.1 | -19.6 | -22.2 | -12.1 | -30.7 | +0.0 | -33.3 | -39.1 | -23.2 | +10.3 | -41.8 | |
| Steps (reduced) |
12 (12) |
19 (19) |
24 (24) |
28 (28) |
31 (31) |
34 (0) |
36 (2) |
38 (4) |
40 (6) |
42 (8) |
43 (9) | |
50ed4/3
| ← 49ed4/3 | 50ed4/3 | 51ed4/3 → |
(semiconvergent)
50 equal divisions of 4/3 (abbreviated 50ed4/3) is a nonoctave tuning system that divides the interval of 4/3 into 50 equal parts of about 9.96 ¢ each. Each step represents a frequency ratio of (4/3)1/50, or the 50th root of 4/3.
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 10 | |
| 2 | 19.9 | |
| 3 | 29.9 | |
| 4 | 39.8 | |
| 5 | 49.8 | |
| 6 | 59.8 | 30/29, 31/30 |
| 7 | 69.7 | 27/26 |
| 8 | 79.7 | 22/21, 23/22 |
| 9 | 89.6 | 21/20 |
| 10 | 99.6 | 18/17 |
| 11 | 109.6 | |
| 12 | 119.5 | 29/27, 31/29 |
| 13 | 129.5 | 27/25 |
| 14 | 139.5 | |
| 15 | 149.4 | 25/23 |
| 16 | 159.4 | 23/21 |
| 17 | 169.3 | 11/10, 21/19 |
| 18 | 179.3 | 10/9 |
| 19 | 189.3 | 29/26 |
| 20 | 199.2 | |
| 21 | 209.2 | 26/23 |
| 22 | 219.1 | |
| 23 | 229.1 | |
| 24 | 239.1 | 31/27 |
| 25 | 249 | 15/13, 22/19 |
| 26 | 259 | |
| 27 | 268.9 | 7/6 |
| 28 | 278.9 | 20/17, 27/23 |
| 29 | 288.9 | 13/11 |
| 30 | 298.8 | |
| 31 | 308.8 | 31/26 |
| 32 | 318.7 | |
| 33 | 328.7 | 23/19 |
| 34 | 338.7 | 17/14 |
| 35 | 348.6 | 11/9 |
| 36 | 358.6 | 27/22 |
| 37 | 368.6 | 21/17, 26/21, 31/25 |
| 38 | 378.5 | |
| 39 | 388.5 | |
| 40 | 398.4 | 29/23 |
| 41 | 408.4 | 19/15 |
| 42 | 418.4 | |
| 43 | 428.3 | 23/18 |
| 44 | 438.3 | 9/7 |
| 45 | 448.2 | 22/17 |
| 46 | 458.2 | 13/10, 30/23 |
| 47 | 468.2 | |
| 48 | 478.1 | 25/19, 29/22 |
| 49 | 488.1 | |
| 50 | 498 |