User:MisterShafXen/13edo
| ← 12edo | 13edo | 14edo → |
13 equal divisions of the octave (abbreviated 13edo or 13ed2), also called 13-tone equal temperament (13tet) or 13 equal temperament (13et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 13 equal parts of about 92.3 ¢ each. Each step represents a frequency ratio of 21/13, or the 13th root of 2.
Intervals
| Steps | Cents | Approximate ratios | Ups and downs notation (Dual flat fifth 7\13) |
Ups and downs notation (Dual sharp fifth 8\13) |
|---|---|---|---|---|
| 0 | 0 | 1/1 | D | D |
| 1 | 92.3 | 16/15, 17/16, 20/19, 21/20, 22/21, 23/22 | E | ^D, vF |
| 2 | 184.6 | 11/10, 19/17, 21/19 | ^E, F♭ | F |
| 3 | 276.9 | 13/11, 19/16, 20/17, 22/19 | vE♯, ^F♭ | E |
| 4 | 369.2 | 5/4, 16/13, 21/17 | E♯, vF | ^E, vG |
| 5 | 461.5 | 13/10, 17/13, 21/16, 22/17 | F | G |
| 6 | 553.8 | 11/8, 15/11, 19/14 | G | ^G, vvA |
| 7 | 646.2 | 16/11, 19/13, 22/15, 23/16 | A | ^^G, vA |
| 8 | 738.5 | 17/11, 20/13, 23/15 | B | A |
| 9 | 830.8 | 8/5, 13/8, 21/13 | ^B, C♭ | ^A, vC |
| 10 | 923.1 | 17/10, 19/11, 22/13 | vB♯, ^C♭ | C |
| 11 | 1015.4 | 20/11 | B♯, vC | B |
| 12 | 1107.7 | 15/8, 19/10, 21/11, 23/12 | C | ^B, vD |
| 13 | 1200 | 2/1 | D | D |