50ed11/5
Jump to navigation
Jump to search
Prime factorization
2 × 52
Step size
27.3001¢
Octave
44\50ed11/5 (1201.2¢) (→22\25ed11/5)
Twelfth
70\50ed11/5 (1911.01¢) (→7\5ed11/5)
Consistency limit
6
Distinct consistency limit
4
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 49ed11/5 | 50ed11/5 | 51ed11/5 → |
50 equal divisions of 11/5 (abbreviated 50ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 50 equal parts of about 27.3 ¢ each. Each step represents a frequency ratio of (11/5)1/50, or the 50th root of 11/5.
Intervals
| Steps | Cents | Approximate Ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 27.3 | |
| 2 | 54.6 | 30/29, 31/30, 32/31 |
| 3 | 81.9 | 21/20, 22/21, 23/22 |
| 4 | 109.2 | 16/15, 17/16 |
| 5 | 136.5 | 13/12 |
| 6 | 163.801 | 11/10 |
| 7 | 191.101 | 19/17, 28/25, 29/26 |
| 8 | 218.401 | 17/15, 25/22 |
| 9 | 245.701 | 15/13, 23/20 |
| 10 | 273.001 | |
| 11 | 300.301 | 19/16, 25/21, 31/26 |
| 12 | 327.601 | 23/19, 29/24 |
| 13 | 354.901 | 16/13 |
| 14 | 382.201 | 5/4 |
| 15 | 409.501 | 19/15, 24/19 |
| 16 | 436.801 | |
| 17 | 464.101 | 17/13, 30/23 |
| 18 | 491.402 | |
| 19 | 518.702 | 23/17, 31/23 |
| 20 | 546.002 | 11/8, 26/19 |
| 21 | 573.302 | 32/23 |
| 22 | 600.602 | 17/12, 24/17 |
| 23 | 627.902 | 23/16 |
| 24 | 655.202 | 19/13 |
| 25 | 682.502 | |
| 26 | 709.802 | |
| 27 | 737.102 | 23/15, 26/17, 29/19 |
| 28 | 764.402 | |
| 29 | 791.702 | 19/12, 30/19 |
| 30 | 819.003 | 8/5 |
| 31 | 846.303 | 31/19 |
| 32 | 873.603 | |
| 33 | 900.903 | 32/19 |
| 34 | 928.203 | 29/17 |
| 35 | 955.503 | 26/15 |
| 36 | 982.803 | 23/13, 30/17 |
| 37 | 1010.103 | |
| 38 | 1037.403 | 20/11, 31/17 |
| 39 | 1064.703 | 24/13 |
| 40 | 1092.003 | 15/8, 32/17 |
| 41 | 1119.303 | 21/11 |
| 42 | 1146.604 | 29/15, 31/16 |
| 43 | 1173.904 | |
| 44 | 1201.204 | 2/1 |
| 45 | 1228.504 | |
| 46 | 1255.804 | 31/15 |
| 47 | 1283.104 | 21/10 |
| 48 | 1310.404 | 17/8, 32/15 |
| 49 | 1337.704 | 13/6 |
| 50 | 1365.004 | 11/5 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.2 | +9.1 | +2.4 | -1.7 | +10.3 | -10.9 | +3.6 | -9.2 | -0.5 | -1.7 | +11.5 |
| Relative (%) | +4.4 | +33.2 | +8.8 | -6.2 | +37.6 | -40.0 | +13.2 | -33.7 | -1.8 | -6.2 | +42.0 | |
| Steps (reduced) |
44 (44) |
70 (20) |
88 (38) |
102 (2) |
114 (14) |
123 (23) |
132 (32) |
139 (39) |
146 (46) |
152 (2) |
158 (8) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +9.4 | -9.7 | +7.3 | +4.8 | +9.1 | -8.0 | +7.6 | +0.7 | -1.9 | -0.5 | +4.4 |
| Relative (%) | +34.4 | -35.6 | +26.9 | +17.6 | +33.2 | -29.3 | +27.8 | +2.6 | -6.8 | -1.8 | +16.3 | |
| Steps (reduced) |
163 (13) |
167 (17) |
172 (22) |
176 (26) |
180 (30) |
183 (33) |
187 (37) |
190 (40) |
193 (43) |
196 (46) |
199 (49) | |