User:MisterShafXen/47ed9
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Prime factorization
47 (prime)
Step size
80.9343 ¢
Octave
15\47ed9 (1214.01 ¢)
Twelfth
24\47ed9 (1942.42 ¢)
Consistency limit
2
Distinct consistency limit
2
| ← 45ed9 | 47ed9 | 49ed9 → |
47 equal divisions of the 9th harmonic (abbreviated 47ed9) is a nonoctave tuning system that divides the interval of 9/1 into 47 equal parts of about 80.9 ¢ each. Each step represents a frequency ratio of 91/47, or the 47th root of 9.
Intervals
| Steps | Cents | Approximate ratios | Note names (6\89) |
|---|---|---|---|
| 0 | 0 | 1/1 | C |
| 1 | 80.9 | 23/22 | vDb |
| 2 | 161.9 | 11/10 | ^Dd |
| 3 | 242.8 | 15/13, 23/20 | vDt |
| 4 | 323.7 | ^D# | |
| 5 | 404.7 | 19/15, 29/23 | E |
| 6 | 485.6 | vF | |
| 7 | 566.5 | vvGb | |
| 8 | 647.5 | 29/20 | Gd |
| 9 | 728.4 | 29/19 | ^^G |
| 10 | 809.3 | G# | |
| 11 | 890.3 | vA | |
| 12 | 971.2 | 7/4 | vvBb |
| 13 | 1052.1 | Bd | |
| 14 | 1133.1 | ^^B | |
| 15 | 1214 | ^C | |
| 16 | 1294.9 | Db | |
| 17 | 1375.9 | vvD | |
| 18 | 1456.8 | Dt | |
| 19 | 1537.8 | 17/7 | ^^D# |
| 20 | 1618.7 | ^E | |
| 21 | 1699.6 | 8/3 | F |
| 22 | 1780.6 | vGb | |
| 23 | 1861.5 | ^Gd | |
| 24 | 1942.4 | vGt | |
| 25 | 2023.4 | ^G# | |
| 26 | 2104.3 | A | |
| 27 | 2185.2 | vBb | |
| 28 | 2266.2 | 26/7 | ^Bd |
| 29 | 2347.1 | vBt | |
| 30 | 2428 | ^^C | |
| 31 | 2509 | 17/4 | C# |
| 32 | 2589.9 | vD | |
| 33 | 2670.8 | 14/3 | vvEb |
| 34 | 2751.8 | Ed | |
| 35 | 2832.7 | ^^E | |
| 36 | 2913.6 | ^F | |
| 37 | 2994.6 | Gb | |
| 38 | 3075.5 | vvG | |
| 39 | 3156.4 | 31/5 | Gt |
| 40 | 3237.4 | 13/2 | ^^G# |
| 41 | 3318.3 | ^A | |
| 42 | 3399.2 | Bb | |
| 43 | 3480.2 | vvB | |
| 44 | 3561.1 | Bt | |
| 45 | 3642 | vCt | |
| 46 | 3723 | ^C# | |
| 47 | 3803.9 | D |