User:MisterShafXen/34edo: Difference between revisions
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Prime factorization
2 × 17
Step size
35.2941 ¢
Fifth
20\34 (705.882 ¢) (→ 10\17)
Semitones (A1:m2)
4:2 (141.2 ¢ : 70.59 ¢)
Consistency limit
5
Distinct consistency limit
5
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Latest revision as of 14:43, 1 August 2025
| ← 33edo | 34edo | 35edo → |
34 equal divisions of the octave (abbreviated 34edo or 34ed2), also called 34-tone equal temperament (34tet) or 34 equal temperament (34et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 34 equal parts of about 35.3 ¢ each. Each step represents a frequency ratio of 21/34, or the 34th root of 2.
Intervals
| Steps | Cents | Approximate ratios | Ups and downs notation |
|---|---|---|---|
| 0 | 0 | 1/1 | D |
| 1 | 35.3 | ^D, vE♭ | |
| 2 | 70.6 | 23/22, 24/23, 25/24, 26/25, 27/26 | ^^D, E♭ |
| 3 | 105.9 | 16/15, 17/16, 18/17 | vD♯, ^E♭ |
| 4 | 141.2 | 13/12, 25/23, 27/25 | D♯, vvE |
| 5 | 176.5 | 10/9, 21/19 | ^D♯, vE |
| 6 | 211.8 | 9/8, 17/15, 26/23 | E |
| 7 | 247.1 | 15/13, 23/20 | ^E, vF |
| 8 | 282.4 | 13/11, 20/17, 27/23 | F |
| 9 | 317.6 | 6/5 | ^F, vG♭ |
| 10 | 352.9 | 11/9, 16/13, 27/22 | ^^F, G♭ |
| 11 | 388.2 | 5/4 | vF♯, ^G♭ |
| 12 | 423.5 | 23/18 | F♯, vvG |
| 13 | 458.8 | 13/10, 17/13 | ^F♯, vG |
| 14 | 494.1 | 4/3 | G |
| 15 | 529.4 | 15/11, 19/14, 23/17 | ^G, vA♭ |
| 16 | 564.7 | 18/13, 25/18 | ^^G, A♭ |
| 17 | 600 | 17/12, 24/17 | vG♯, ^A♭ |
| 18 | 635.3 | 13/9, 23/16 | G♯, vvA |
| 19 | 670.6 | 22/15, 25/17, 28/19 | ^G♯, vA |
| 20 | 705.9 | 3/2 | A |
| 21 | 741.2 | 20/13, 23/15, 26/17 | ^A, vB♭ |
| 22 | 776.5 | 25/16 | ^^A, B♭ |
| 23 | 811.8 | 8/5 | vA♯, ^B♭ |
| 24 | 847.1 | 13/8, 18/11 | A♯, vvB |
| 25 | 882.4 | 5/3 | ^A♯, vB |
| 26 | 917.6 | 17/10, 22/13 | B |
| 27 | 952.9 | 26/15 | ^B, vC |
| 28 | 988.2 | 16/9, 23/13 | C |
| 29 | 1023.5 | 9/5 | ^C, vD♭ |
| 30 | 1058.8 | 24/13 | ^^C, D♭ |
| 31 | 1094.1 | 15/8, 17/9 | vC♯, ^D♭ |
| 32 | 1129.4 | 23/12, 25/13 | C♯, vvD |
| 33 | 1164.7 | ^C♯, vD | |
| 34 | 1200 | 2/1 | D |