49ed7
| ← 48ed7 | 49ed7 | 50ed7 → |
49ED7 is the equal division of the 7th harmonic into 49 parts of 68.7515 cents each. It is similar to every second step of 35edo.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.00000 | exact 1/1 | |
| 1 | 68.75155 | 26/25, 25/24 | |
| 2 | 137.50310 | 13/12 | |
| 3 | 206.25465 | 9/8 | |
| 4 | 275.00620 | 27/23 | |
| 5 | 343.75775 | 39/32 | |
| 6 | 412.50929 | 33/26 | |
| 7 | 481.26084 | 33/25, 119/90 | |
| 8 | 550.01239 | 11/8 | |
| 9 | 618.76394 | 10/7, 63/44 | |
| 10 | 687.51549 | 49/33 | |
| 11 | 756.26704 | 161/104 | |
| 12 | 825.01859 | 161/100 | |
| 13 | 893.77014 | 77/46, 161/96 | |
| 14 | 962.52169 | 68/39 | |
| 15 | 1031.27324 | 49/27 | |
| 16 | 1100.02479 | 17/9 | |
| 17 | 1168.77633 | 100/51, 51/26, 108/55, 55/28, 112/57 | |
| 18 | 1237.52788 | 100/49, 49/24, 45/22 | |
| 19 | 1306.27943 | 17/8 | |
| 20 | 1375.03098 | 133/60 | |
| 21 | 1443.78253 | 23/10 | |
| 22 | 1512.53408 | 12/5 | |
| 23 | 1581.28563 | ||
| 24 | 1650.03718 | 70/27 | |
| 25 | 1718.78873 | 27/10 | |
| 26 | 1787.54028 | 160/57 | |
| 27 | 1856.29183 | 35/12 | |
| 28 | 1925.04338 | 70/23 | |
| 29 | 1993.79492 | 60/19 | |
| 30 | 2062.54647 | 23/7 | |
| 31 | 2131.29802 | 24/7 | |
| 32 | 2200.04957 | 57/16 | |
| 33 | 2268.80112 | 63/17 | |
| 34 | 2337.55267 | 27/7 | |
| 35 | 2406.30422 | 273/68 | |
| 36 | 2475.05577 | 96/23, 46/11 | |
| 37 | 2543.80732 | 100/23 | |
| 38 | 2612.55887 | 104/23 | |
| 39 | 2681.31042 | 33/7 | |
| 40 | 2750.06196 | 44/9, 49/10 | |
| 41 | 2818.81351 | 56/11 | |
| 42 | 2887.56506 | 90/17, 175/33 | |
| 43 | 2956.31661 | ||
| 44 | 3025.06816 | ||
| 45 | 3093.81971 | 161/27 | |
| 46 | 3162.57126 | 56/9 | |
| 47 | 3231.32281 | 84/13 | |
| 48 | 3300.07436 | 168/25, 175/26 | |
| 49 | 3368.82591 | exact 7/1 | harmonic seventh plus two octaves |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -31.2 | +23.1 | +6.3 | +32.5 | -8.1 | +0.0 | -24.9 | -22.6 | +1.3 | -26.2 | +29.4 |
| Relative (%) | -45.4 | +33.6 | +9.2 | +47.3 | -11.8 | +0.0 | -36.2 | -32.8 | +1.9 | -38.1 | +42.8 | |
| Steps (reduced) |
17 (17) |
28 (28) |
35 (35) |
41 (41) |
45 (45) |
49 (0) |
52 (3) |
55 (6) |
58 (9) |
60 (11) |
63 (14) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +28.3 | -31.2 | -13.2 | +12.6 | -23.6 | +15.0 | -9.9 | -29.9 | +23.1 | +11.3 | +3.1 |
| Relative (%) | +41.2 | -45.4 | -19.1 | +18.3 | -34.3 | +21.7 | -14.4 | -43.6 | +33.6 | +16.4 | +4.5 | |
| Steps (reduced) |
65 (16) |
66 (17) |
68 (19) |
70 (21) |
71 (22) |
73 (24) |
74 (25) |
75 (26) |
77 (28) |
78 (29) |
79 (30) | |