Tiers
Because Minecraft's physics is tick-based, the player's movement is not updated continuously.
Therefore, some jumps are identical in difficulty, despite having different heights. For example, +0.5 and +0.75 jumps of the same length have an equal difficulty.
The range of heights matching to the same difficulty corresponds to a Tier.
By convention:
- Tier 0 corresponds to the range containing the default height (+0.0)
- Positive Tiers correspond to positive heights
- Negative Tiers corresponds to negative heights
On flat ground (Tier 0), a jump lasts 12 ticks.
To convert tiers into ticks, use this formula:
| Duration (ticks) | Height(1.8) | Height (1.9+) | Maximum Tier |
|---|---|---|---|
| 0 | 0.0 | 0.0 | - |
| 1 | 0.42 | 0.42 | - |
| 2 | 0.42 | 0.42 | - |
| 3 | 0.7532 | 0.7532 | - |
| 4 | 1.0013 | 1.0013 | - |
| 5 | 1.1661 | 1.1661 | - |
| 6 | 1.2492 | 1.2492 | - |
| 7 | 1.2492 | 1.2522 | 5 |
| 8 | 1.1708 | 1.1768 | 4 |
| 9 | 1.0156 | 1.0244 | 3 |
| 10 | 0.7850 | 0.7967 | 2 |
| 11 | 0.4807 | 0.4952 | 1 |
| 12 | 0.1041 | 0.1213 | 0 |
| 13 | -0.3434 | -0.3235 | -1 |
| 14 | -0.8604 | -0.8379 | -2 |
| 15 | -1.4454 | -1.4203 | -3 |
| 16 | -2.0971 | -2.0695 | -4 |
| 17 | -2.8142 | -2.7841 | -5 |
| 18 | -3.5953 | -3.5628 | -6 |
| 19 | -4.4392 | -4.4044 | -7 |
| 20 | -5.3446 | -5.3075 | -8 |
| 21 | -6.3104 | -6.2709 | -9 |
| 22 | -7.3352 | -7.2935 | -10 |
| 23 | -8.4179 | -8.3740 | -11 |
| 24 | -9.5573 | -9.5114 | -12 |
| 25 | -10.7524 | -10.7043 | -13 |
| 26 | -12.0020 | -11.9518 | -14 |
| 27 | -13.3050 | -13.2528 | -15 |
| 28 | -14.6603 | -14.6062 | -16 |
| 29 | -16.0669 | -16.0108 | -17 |
| 30 | -17.5238 | -17.4658 | -18 |
| 31 | -19.0299 | -18.9701 | -19 |
| 32 | -20.5843 | -20.5227 | -20 |
| 33 | -22.1860 | -22.1226 | -21 |
| 34 | -23.8341 | -23.7690 | -22 |
| 35 | -25.5277 | -25.4608 | -23 |
| 36 | -27.2657 | -27.1972 | -24 |
| 37 | -29.0474 | -28.9772 | -25 |
| 38 | -30.8719 | -30.8001 | -26 |
| 39 | -32.7383 | -32.6649 | -27 |
| 40 | -34.6457 | -34.5708 | -28 |
| 41 | -36.5934 | -36.5170 | -29 |
| 42 | -38.5806 | -38.5026 | -30 |
| 43 | -40.6064 | -40.5270 | -31 |
| 44 | -42.6701 | -42.5893 | -32 |
| 45 | -44.7709 | -44.6887 | -33 |
| 46 | -46.9081 | -46.8245 | -34 |
| 47 | -49.0809 | -48.9960 | -35 |
| 48 | -51.2887 | -51.2025 | -36 |
| 49 | -53.5308 | -53.4432 | -37 |
| 50 | -55.8064 | -55.7176 | -38 |
| 51 | -58.1149 | -58.0248 | -39 |
| 52 | -60.4556 | -60.3643 | -40 |
| 53 | -62.8279 | -62.7354 | -41 |
| 54 | -65.2312 | -65.1375 | -42 |
| 55 | -67.6647 | -67.5700 | -43 |
| 56 | -70.1281 | -70.0322 | -44 |
| 57 | -72.6205 | -72.5235 | -45 |
| 58 | -75.1415 | -75.0435 | -46 |
| 59 | -77.6905 | -77.5914 | -47 |
| 60 | -80.2669 | -80.1668 | -48 |
| 61 | -82.8702 | -82.7690 | -49 |
| 62 | -85.4998 | -85.3977 | -50 |
| 63 | -88.1552 | -88.0521 | -51 |
| 64 | -90.8359 | -90.7319 | -52 |
| 65 | -93.5414 | -93.4364 | -53 |
| 66 | -96.2712 | -96.1653 | -54 |
| 67 | -99.0248 | -98.9180 | -55 |
| 68 | -101.8017 | -101.6940 | -56 |
| 69 | -104.6015 | -104.4929 | -57 |
| 70 | -107.4237 | -107.3143 | -58 |
| 71 | -110.2678 | -110.1576 | -59 |
| 72 | -113.1335 | -113.0224 | -60 |
| 73 | -116.0203 | -115.9084 | -61 |
| 74 | -118.9277 | -118.8150 | -62 |
| 75 | -121.8553 | -121.7419 | -63 |
| 76 | -124.8028 | -124.6887 | -64 |
| 77 | -127.7698 | -127.6549 | -65 |
| 78 | -130.7558 | -130.6402 | -66 |
| 79 | -133.7605 | -133.6442 | -67 |
| 80 | -136.7835 | -136.6665 | -68 |
| 81 | -139.8245 | -139.7068 | -69 |
| 82 | -142.8830 | -142.7647 | -70 |
| 83 | -145.9588 | -145.8398 | -71 |
| 84 | -149.0514 | -148.9318 | -72 |
| 85 | -152.1606 | -152.0403 | -73 |
| 86 | -155.2860 | -155.1651 | -74 |
| 87 | -158.4273 | -158.3058 | -75 |
| 88 | -161.5842 | -161.4621 | -76 |
| 89 | -164.7563 | -164.6337 | -77 |
| 90 | -167.9434 | -167.8202 | -78 |
| 91 | -171.1451 | -171.0214 | -79 |
| 92 | -174.3612 | -174.2370 | -80 |
| 93 | -177.5914 | -177.4666 | -81 |
| 94 | -180.8354 | -180.7101 | -82 |
| 95 | -184.0929 | -183.9671 | -83 |
| 96 | -187.3637 | -187.2374 | -84 |
| 97 | -190.6474 | -190.5206 | -85 |
| 98 | -193.9439 | -193.8166 | -86 |
| 99 | -197.2528 | -197.1251 | -87 |
| 100 | -200.5740 | -200.4458 | -88 |
| 101 | -203.9071 | -203.7784 | -89 |
| 102 | -207.2520 | -207.1229 | -90 |
| 103 | -210.6084 | -210.4788 | -91 |
| 104 | -213.9760 | -213.8460 | -92 |
| 105 | -217.3547 | -217.2243 | -93 |
| 106 | -220.7442 | -220.6134 | -94 |
| 107 | -224.1444 | -224.0132 | -95 |
| 108 | -227.5549 | -227.4233 | -96 |
| 109 | -230.9756 | -230.8436 | -97 |
| 110 | -234.4063 | -234.2740 | -98 |
| 111 | -237.8468 | -237.7141 | -99 |
| 112 | -241.2969 | -241.1638 | -100 |
| 113 | -244.7564 | -244.6229 | -101 |
| 114 | -248.2251 | -248.0913 | -102 |
| 115 | -251.7028 | -251.5686 | -103 |
| 116 | -255.1893 | -255.0549 | -104 |
| 117 | -258.6846 | -258.5498 | -105 |