User:MisterShafXen/47edo
| ← 46edo | 47edo | 48edo → |
(convergent)
47 equal divisions of the octave (abbreviated 47edo or 47ed2), also called 47-tone equal temperament (47tet) or 47 equal temperament (47et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 47 equal parts of about 25.5 ¢ each. Each step represents a frequency ratio of 21/47, or the 47th root of 2.
Intervals
| Steps | Cents | Approximate ratios | Ups and downs notation (Dual flat fifth 27\47) |
Ups and downs notation (Dual sharp fifth 28\47) |
|---|---|---|---|---|
| 0 | 0 | 1/1 | D | D |
| 1 | 25.5 | D♯, E♭♭♭♭♭♭ | ^D, E♭ | |
| 2 | 51.1 | D𝄪, E♭♭♭♭♭ | ^^D, ^E♭ | |
| 3 | 76.6 | 23/22, 25/24 | D♯𝄪, E♭♭♭♭ | ^3D, ^^E♭ |
| 4 | 102.1 | 17/16 | D𝄪𝄪, E♭♭♭ | ^4D, ^3E♭ |
| 5 | 127.7 | 14/13 | D♯𝄪𝄪, E♭♭ | v3D♯, v4E |
| 6 | 153.2 | D𝄪𝄪𝄪, E♭ | vvD♯, v3E | |
| 7 | 178.7 | 31/28 | E | vD♯, vvE |
| 8 | 204.3 | E♯, F♭♭♭♭♭ | D♯, vE | |
| 9 | 229.8 | 8/7 | E𝄪, F♭♭♭♭ | E |
| 10 | 255.3 | 22/19, 29/25 | E♯𝄪, F♭♭♭ | F |
| 11 | 280.9 | 20/17 | E𝄪𝄪, F♭♭ | ^F, G♭ |
| 12 | 306.4 | 25/21, 31/26 | E♯𝄪𝄪, F♭ | ^^F, ^G♭ |
| 13 | 331.9 | 17/14, 23/19, 29/24 | F | ^3F, ^^G♭ |
| 14 | 357.4 | 16/13 | F♯, G♭♭♭♭♭♭ | ^4F, ^3G♭ |
| 15 | 383 | 5/4 | F𝄪, G♭♭♭♭♭ | v3F♯, v4G |
| 16 | 408.5 | F♯𝄪, G♭♭♭♭ | vvF♯, v3G | |
| 17 | 434 | F𝄪𝄪, G♭♭♭ | vF♯, vvG | |
| 18 | 459.6 | 13/10, 17/13 | F♯𝄪𝄪, G♭♭ | F♯, vG |
| 19 | 485.1 | F𝄪𝄪𝄪, G♭ | G | |
| 20 | 510.6 | G | ^G, A♭ | |
| 21 | 536.2 | G♯, A♭♭♭♭♭♭ | ^^G, ^A♭ | |
| 22 | 561.7 | 29/21 | G𝄪, A♭♭♭♭♭ | ^3G, ^^A♭ |
| 23 | 587.2 | 7/5 | G♯𝄪, A♭♭♭♭ | ^4G, ^3A♭ |
| 24 | 612.8 | 10/7 | G𝄪𝄪, A♭♭♭ | v3G♯, v4A |
| 25 | 638.3 | 29/20 | G♯𝄪𝄪, A♭♭ | vvG♯, v3A |
| 26 | 663.8 | 25/17 | G𝄪𝄪𝄪, A♭ | vG♯, vvA |
| 27 | 689.4 | A | G♯, vA | |
| 28 | 714.9 | A♯, B♭♭♭♭♭♭ | A | |
| 29 | 740.4 | 20/13, 26/17 | A𝄪, B♭♭♭♭♭ | ^A, B♭ |
| 30 | 766 | A♯𝄪, B♭♭♭♭ | ^^A, ^B♭ | |
| 31 | 791.5 | A𝄪𝄪, B♭♭♭ | ^3A, ^^B♭ | |
| 32 | 817 | 8/5 | A♯𝄪𝄪, B♭♭ | ^4A, ^3B♭ |
| 33 | 842.6 | 13/8, 31/19 | A𝄪𝄪𝄪, B♭ | v3A♯, v4B |
| 34 | 868.1 | 28/17 | B | vvA♯, v3B |
| 35 | 893.6 | B♯, C♭♭♭♭♭ | vA♯, vvB | |
| 36 | 919.1 | 17/10, 29/17 | B𝄪, C♭♭♭♭ | A♯, vB |
| 37 | 944.7 | 19/11 | B♯𝄪, C♭♭♭ | B |
| 38 | 970.2 | 7/4 | B𝄪𝄪, C♭♭ | C |
| 39 | 995.7 | B♯𝄪𝄪, C♭ | ^C, D♭ | |
| 40 | 1021.3 | C | ^^C, ^D♭ | |
| 41 | 1046.8 | C♯, D♭♭♭♭♭♭ | ^3C, ^^D♭ | |
| 42 | 1072.3 | 13/7 | C𝄪, D♭♭♭♭♭ | ^4C, ^3D♭ |
| 43 | 1097.9 | C♯𝄪, D♭♭♭♭ | v3C♯, v4D | |
| 44 | 1123.4 | C𝄪𝄪, D♭♭♭ | vvC♯, v3D | |
| 45 | 1148.9 | 31/16 | C♯𝄪𝄪, D♭♭ | vC♯, vvD |
| 46 | 1174.5 | C𝄪𝄪𝄪, D♭ | C♯, vD | |
| 47 | 1200 | 2/1 | D | D |