User:MisterShafXen/49ed8
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Prime factorization
72
Step size
73.4694 ¢
Octave
16\49ed8 (1175.51 ¢)
Twelfth
26\49ed8 (1910.2 ¢)
Consistency limit
3
Distinct consistency limit
3
| ← 48ed8 | 49ed8 | 50ed8 → |
49 equal divisions of the 8th harmonic (abbreviated 49ed8) is a nonoctave tuning system that divides the interval of 8/1 into 49 equal parts of about 73.5 ¢ each. Each step represents a frequency ratio of 81/49, or the 49th root of 8.
Intervals
| Steps | Cents | Approximate ratios | Note names from 49edo |
|---|---|---|---|
| 0 | 0 | 1/1 | C |
| 1 | 73.5 | 23/22 | ^Db |
| 2 | 146.9 | 25/23 | vC# |
| 3 | 220.4 | 17/15, 25/22 | D |
| 4 | 293.9 | ^Eb | |
| 5 | 367.3 | 21/17, 31/25 | vD# |
| 6 | 440.8 | 22/17 | E |
| 7 | 514.3 | 31/23 | ^F |
| 8 | 587.8 | 7/5 | ^^Gb |
| 9 | 661.2 | 19/13, 22/15 | F# |
| 10 | 734.7 | 23/15, 29/19 | ^G |
| 11 | 808.2 | ^^Ab | |
| 12 | 881.6 | 5/3 | G# |
| 13 | 955.1 | ^A | |
| 14 | 1028.6 | ^^Bb | |
| 15 | 1102 | 17/9 | A# |
| 16 | 1175.5 | ^B/vC | |
| 17 | 1249 | Db | |
| 18 | 1322.4 | 15/7 | vvC# |
| 19 | 1395.9 | vD | |
| 20 | 1469.4 | 7/3 | Eb |
| 21 | 1542.9 | 22/9 | vvD# |
| 22 | 1616.3 | vE | |
| 23 | 1689.8 | F | |
| 24 | 1763.3 | 25/9 | ^Gb |
| 25 | 1836.7 | vF# | |
| 26 | 1910.2 | G | |
| 27 | 1983.7 | 22/7 | ^Ab |
| 28 | 2057.1 | 23/7 | vG# |
| 29 | 2130.6 | A | |
| 30 | 2204.1 | 25/7 | ^Bb |
| 31 | 2277.6 | vA# | |
| 32 | 2351 | B | |
| 33 | 2424.5 | ^C | |
| 34 | 2498 | ^^Db | |
| 35 | 2571.4 | 31/7 | C# |
| 36 | 2644.9 | 23/5 | ^D |
| 37 | 2718.4 | ^^Eb | |
| 38 | 2791.8 | 5/1 | D# |
| 39 | 2865.3 | ^E/vF | |
| 40 | 2938.8 | Gb | |
| 41 | 3012.2 | vvF# | |
| 42 | 3085.7 | vG | |
| 43 | 3159.2 | 31/5 | Ab |
| 44 | 3232.7 | vvG# | |
| 45 | 3306.1 | vA | |
| 46 | 3379.6 | Bb | |
| 47 | 3453.1 | 22/3 | vvA# |
| 48 | 3526.5 | 23/3 | vB |
| 49 | 3600 | C |