User:MisterShafXen/44edo: Difference between revisions
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Prime factorization
22 × 11
Step size
27.2727 ¢
Fifth
26\44 (709.091 ¢) (→ 13\22)
Semitones (A1:m2)
6:2 (163.6 ¢ : 54.55 ¢)
Consistency limit
5
Distinct consistency limit
5
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Latest revision as of 14:43, 1 August 2025
| ← 43edo | 44edo | 45edo → |
44 equal divisions of the octave (abbreviated 44edo or 44ed2), also called 44-tone equal temperament (44tet) or 44 equal temperament (44et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 44 equal parts of about 27.3 ¢ each. Each step represents a frequency ratio of 21/44, or the 44th root of 2.
Intervals
| Steps | Cents | Approximate ratios | Ups and downs notation |
|---|---|---|---|
| 0 | 0 | 1/1 | D |
| 1 | 27.3 | ^D, vE♭ | |
| 2 | 54.5 | 29/28, 30/29, 31/30 | ^^D, E♭ |
| 3 | 81.8 | 23/22 | ^3D, ^E♭ |
| 4 | 109.1 | 16/15, 17/16, 31/29 | vvD♯, ^^E♭ |
| 5 | 136.4 | 13/12 | vD♯, v3E |
| 6 | 163.6 | 11/10 | D♯, vvE |
| 7 | 190.9 | 19/17, 29/26 | ^D♯, vE |
| 8 | 218.2 | 17/15, 25/22, 26/23 | E |
| 9 | 245.5 | 15/13, 23/20 | ^E, vF |
| 10 | 272.7 | 7/6 | F |
| 11 | 300 | 19/16, 31/26 | ^F, vG♭ |
| 12 | 327.3 | 23/19, 29/24 | ^^F, G♭ |
| 13 | 354.5 | 16/13 | ^3F, ^G♭ |
| 14 | 381.8 | 5/4 | vvF♯, ^^G♭ |
| 15 | 409.1 | 19/15, 24/19 | vF♯, v3G |
| 16 | 436.4 | 9/7 | F♯, vvG |
| 17 | 463.6 | 17/13, 30/23 | ^F♯, vG |
| 18 | 490.9 | G | |
| 19 | 518.2 | 23/17, 31/23 | ^G, vA♭ |
| 20 | 545.5 | 11/8, 26/19 | ^^G, A♭ |
| 21 | 572.7 | ^3G, ^A♭ | |
| 22 | 600 | 17/12, 24/17, 31/22 | vvG♯, ^^A♭ |
| 23 | 627.3 | 23/16 | vG♯, v3A |
| 24 | 654.5 | 16/11, 19/13 | G♯, vvA |
| 25 | 681.8 | ^G♯, vA | |
| 26 | 709.1 | A | |
| 27 | 736.4 | 23/15, 26/17, 29/19 | ^A, vB♭ |
| 28 | 763.6 | 14/9, 31/20 | ^^A, B♭ |
| 29 | 790.9 | 19/12, 30/19 | ^3A, ^B♭ |
| 30 | 818.2 | 8/5 | vvA♯, ^^B♭ |
| 31 | 845.5 | 13/8, 31/19 | vA♯, v3B |
| 32 | 872.7 | A♯, vvB | |
| 33 | 900 | ^A♯, vB | |
| 34 | 927.3 | 12/7, 29/17 | B |
| 35 | 954.5 | 26/15 | ^B, vC |
| 36 | 981.8 | 23/13, 30/17 | C |
| 37 | 1009.1 | ^C, vD♭ | |
| 38 | 1036.4 | 20/11, 31/17 | ^^C, D♭ |
| 39 | 1063.6 | 24/13 | ^3C, ^D♭ |
| 40 | 1090.9 | 15/8 | vvC♯, ^^D♭ |
| 41 | 1118.2 | vC♯, v3D | |
| 42 | 1145.5 | 29/15, 31/16 | C♯, vvD |
| 43 | 1172.7 | ^C♯, vD | |
| 44 | 1200 | 2/1 | D |