49edt
| ← 48edt | 49edt | 50edt → |
Division of the third harmonic into 49 equal parts (49EDT) is related to 31 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the 12-integer limit.
Intervals
| Steps | Cents | Hekts | Approximate ratios |
|---|---|---|---|
| 0 | 0 | 0 | 1/1 |
| 1 | 38.8 | 26.5 | |
| 2 | 77.6 | 53.1 | 22/21, 23/22, 24/23 |
| 3 | 116.4 | 79.6 | 15/14, 16/15, 31/29 |
| 4 | 155.3 | 106.1 | 12/11, 23/21 |
| 5 | 194.1 | 132.7 | 19/17, 28/25, 29/26 |
| 6 | 232.9 | 159.2 | 8/7 |
| 7 | 271.7 | 185.7 | 7/6 |
| 8 | 310.5 | 212.2 | 6/5 |
| 9 | 349.3 | 238.8 | 11/9, 27/22 |
| 10 | 388.2 | 265.3 | 5/4 |
| 11 | 427 | 291.8 | 23/18, 32/25 |
| 12 | 465.8 | 318.4 | 17/13, 21/16 |
| 13 | 504.6 | 344.9 | |
| 14 | 543.4 | 371.4 | 26/19 |
| 15 | 582.2 | 398 | 7/5 |
| 16 | 621 | 424.5 | 10/7 |
| 17 | 659.9 | 451 | 19/13, 22/15 |
| 18 | 698.7 | 477.6 | 3/2 |
| 19 | 737.5 | 504.1 | 23/15, 26/17, 29/19 |
| 20 | 776.3 | 530.6 | 25/16 |
| 21 | 815.1 | 557.1 | 8/5 |
| 22 | 853.9 | 583.7 | 18/11, 23/14 |
| 23 | 892.8 | 610.2 | |
| 24 | 931.6 | 636.7 | 12/7 |
| 25 | 970.4 | 663.3 | 7/4 |
| 26 | 1009.2 | 689.8 | 25/14 |
| 27 | 1048 | 716.3 | 11/6 |
| 28 | 1086.8 | 742.9 | 15/8 |
| 29 | 1125.6 | 769.4 | 23/12 |
| 30 | 1164.5 | 795.9 | |
| 31 | 1203.3 | 822.4 | 2/1 |
| 32 | 1242.1 | 849 | |
| 33 | 1280.9 | 875.5 | 21/10, 23/11 |
| 34 | 1319.7 | 902 | 15/7 |
| 35 | 1358.5 | 928.6 | |
| 36 | 1397.4 | 955.1 | |
| 37 | 1436.2 | 981.6 | 16/7 |
| 38 | 1475 | 1008.2 | |
| 39 | 1513.8 | 1034.7 | 12/5 |
| 40 | 1552.6 | 1061.2 | 22/9, 27/11 |
| 41 | 1591.4 | 1087.8 | 5/2 |
| 42 | 1630.2 | 1114.3 | 18/7 |
| 43 | 1669.1 | 1140.8 | 21/8 |
| 44 | 1707.9 | 1167.3 | |
| 45 | 1746.7 | 1193.9 | 11/4 |
| 46 | 1785.5 | 1220.4 | 14/5 |
| 47 | 1824.3 | 1246.9 | 23/8 |
| 48 | 1863.1 | 1273.5 | |
| 49 | 1902 | 1300 | 3/1 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.3 | +0.0 | +6.6 | +8.4 | +3.3 | +8.1 | +9.8 | +0.0 | +11.7 | +1.9 | +6.6 |
| Relative (%) | +8.4 | +0.0 | +16.9 | +21.6 | +8.4 | +20.9 | +25.3 | +0.0 | +30.1 | +5.0 | +16.9 | |
| Steps (reduced) |
31 (31) |
49 (0) |
62 (13) |
72 (23) |
80 (31) |
87 (38) |
93 (44) |
98 (0) |
103 (5) |
107 (9) |
111 (13) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -15.6 | +11.4 | +8.4 | +13.1 | -14.2 | +3.3 | -12.7 | +15.0 | +8.1 | +5.2 | +5.9 |
| Relative (%) | -40.1 | +29.3 | +21.6 | +33.8 | -36.6 | +8.4 | -32.7 | +38.5 | +20.9 | +13.4 | +15.2 | |
| Steps (reduced) |
114 (16) |
118 (20) |
121 (23) |
124 (26) |
126 (28) |
129 (31) |
131 (33) |
134 (36) |
136 (38) |
138 (40) |
140 (42) | |