Difference between revisions of "Tiers"

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<languages/>
  +
<translate>
  +
<!--T:1-->
 
Because Minecraft's physics is [https://en.wikipedia.org/wiki/Delta_timing tick]-based, the player's movement is not updated continuously.
 
Because Minecraft's physics is [https://en.wikipedia.org/wiki/Delta_timing tick]-based, the player's movement is not updated continuously.
   
  +
<!--T:2-->
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.
+
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, beause the player lands the jump at Y=0.7532 either way.
   
  +
<!--T:3-->
 
The range of heights matching to the same difficulty corresponds to a '''Tier'''.
 
The range of heights matching to the same difficulty corresponds to a '''Tier'''.
   
   
  +
<!--T:4-->
 
By convention:
 
By convention:
   
  +
<!--T:5-->
 
* '''Tier 0''' corresponds to the range containing the default height (+0.0)
 
* '''Tier 0''' corresponds to the range containing the default height (+0.0)
 
* '''Positive Tiers''' correspond to positive heights
 
* '''Positive Tiers''' correspond to positive heights
Line 13: Line 20:
   
   
  +
<!--T:6-->
 
On flat ground (Tier 0), a jump lasts 12 ticks.
 
On flat ground (Tier 0), a jump lasts 12 ticks.
   
  +
<!--T:7-->
 
To convert duration to tiers, there is a simple formula: <math>Tier = 12 - Duration</math>
 
To convert duration to tiers, there is a simple formula: <math>Tier = 12 - Duration</math>
   
   
   
 
== Jump Heights per Duration == <!--T:8-->
   
  +
<!--T:9-->
 
The following table lists the player's jump height at every tick until -256b.
   
  +
<!--T:10-->
<youtube>https://youtu.be/1tWXifGkNVw</youtube>
 
 
The reason the height peak is higher in 1.9+ is because the [[Special:MyLanguage/Momentum Threshold|momentum threshold]] has been lowered to 0.003, and no longer affects jumping.
   
  +
<!--T:11-->
== Jump Heights per Duration ==
 
 
Some jumps are easier in 1.9+ because their tier has been lowered: those are indicated in "Tier Updates".
The following table lists the player's jump height at every tick until -256m.
 
 
The reason the height peak is higher in 1.9+ is because the [[Momentum Threshold|momentum threshold]] has been lowered to 0.003, and no longer affects jumping.
 
 
Some jumps are easier in 1.9+ because they have become one tier lower: those are indicated in "Tier Updates".
 
 
{| class="wikitable" 0.7532
 
{| class="wikitable" 0.7532
! Duration (ticks) !! Height(1.8) !! Height (1.9+) !! Maximum Tier !! Tier Updates
+
! Duration (ticks) !! Height (1.8) !! Height (1.9+) !! Maximum Tier !! Tier Updates
 
|-
 
|-
 
| 1 || 0.0 || 0.0 || - ||
 
| 1 || 0.0 || 0.0 || - ||
 
|-
 
|-
| 2 || 0.42 || 0.42 || - ||
+
| 2 || 0.4200 || 0.4200 || -||
 
|-
 
|-
| 3 || 0.7532 || 0.7532 || - ||
+
| 3 || 0.7532 || 0.7532 || -||
 
|-
 
|-
| 4 || 1.0013 || 1.0013 || - ||
+
| 4 || 1.0013 || 1.0013 || -||
 
|-
 
|-
| 5 || 1.1661 || 1.1661 || - ||
+
| 5 || 1.1661 || 1.1661 || -||
 
|-
 
|-
| 6 || 1.2492 || 1.2492 || - ||
+
| 6 || 1.2492 || 1.2492 || -||
 
|-
 
|-
 
| 7 || 1.2492 || 1.2522 || 5 ||1.25
 
| 7 || 1.2492 || 1.2522 || 5 ||1.25
Line 104: Line 113:
 
| 36 || -27.2657 || -27.1972 || -24 ||-27.25
 
| 36 || -27.2657 || -27.1972 || -24 ||-27.25
 
|-
 
|-
| 37 || -29.0474 || -28.9773 || -25 ||-29.0
+
| 37 || -29.0474 || -28.9772 || -25 ||-29.0
 
|-
 
|-
 
| 38 || -30.8719 || -30.8001 || -26 ||-30.8125
 
| 38 || -30.8719 || -30.8001 || -26 ||-30.8125
Line 112: Line 121:
 
| 40 || -34.6457 || -34.5708 || -28 ||-34.625
 
| 40 || -34.6457 || -34.5708 || -28 ||-34.625
 
|-
 
|-
| 41 || -36.5935 || -36.5170 || -29 ||-36.5625
+
| 41 || -36.5934 || -36.5170 || -29 ||-36.5625
 
|-
 
|-
| 42 || -38.5806 || -38.5027 || -30 ||-38.5625
+
| 42 || -38.5806 || -38.5026 || -30 ||-38.5625
 
|-
 
|-
 
| 43 || -40.6064 || -40.5270 || -31 ||-40.5625
 
| 43 || -40.6064 || -40.5270 || -31 ||-40.5625
Line 124: Line 133:
 
| 46 || -46.9081 || -46.8245 || -34 ||-46.875
 
| 46 || -46.9081 || -46.8245 || -34 ||-46.875
 
|-
 
|-
| 47 || -49.0810 || -48.9960 || -35 ||-49.0625<br>-49.125
+
| 47 || -49.0810 || -48.9960 || -35 ||-49.0625<br>-49.0
 
|-
 
|-
 
| 48 || -51.2888 || -51.2025 || -36 ||-51.25
 
| 48 || -51.2888 || -51.2025 || -36 ||-51.25
 
|-
 
|-
| 49 || -53.5308 || -53.4433 || -37 ||-53.5
+
| 49 || -53.5308 || -53.4432 || -37 ||-53.5
 
|-
 
|-
 
| 50 || -55.8064 || -55.7176 || -38 ||-55.75
 
| 50 || -55.8064 || -55.7176 || -38 ||-55.75
Line 134: Line 143:
 
| 51 || -58.1149 || -58.0248 || -39 ||-58.0625
 
| 51 || -58.1149 || -58.0248 || -39 ||-58.0625
 
|-
 
|-
| 52 || -60.4556 || -60.3644 || -40 ||-60.4375<br>-60.5
+
| 52 || -60.4556 || -60.3643 || -40 ||-60.4375<br>-60.375
 
|-
 
|-
| 53 || -62.8279 || -62.7355 || -41 ||-62.8125<br>-62.875
+
| 53 || -62.8279 || -62.7354 || -41 ||-62.8125<br>-62.75
 
|-
 
|-
| 54 || -65.2312 || -65.1376 || -42 ||-65.1875
+
| 54 || -65.2312 || -65.1375 || -42 ||-65.1875
 
|-
 
|-
 
| 55 || -67.6648 || -67.5700 || -43 ||-67.625
 
| 55 || -67.6648 || -67.5700 || -43 ||-67.625
 
|-
 
|-
| 56 || -70.1281 || -70.0322 || -44 ||-70.125<br>-70.1875
+
| 56 || -70.1281 || -70.0322 || -44 ||-70.125<br>-70.0625
 
|-
 
|-
| 57 || -72.6206 || -72.5236 || -45 ||-72.5625
+
| 57 || -72.6205 || -72.5235 || -45 ||-72.5625
 
|-
 
|-
| 58 || -75.1416 || -75.0435 || -46 ||-75.125<br>-75.1875
+
| 58 || -75.1416 || -75.0435 || -46 ||-75.125<br>-75.0625
 
|-
 
|-
| 59 || -77.6905 || -77.5914 || -47 ||-77.6875<br>-77.75
+
| 59 || -77.6905 || -77.5914 || -47 ||-77.6875<br>-77.625
 
|-
 
|-
| 60 || -80.2670 || -80.1668 || -48 ||-80.25<br>-80.3125
+
| 60 || -80.2670 || -80.1668 || -48 ||-80.25<br>-80.1875
 
|-
 
|-
| 61 || -82.8702 || -82.7691 || -49 ||-82.8125
+
| 61 || -82.8702 || -82.7690 || -49 ||-82.8125
 
|-
 
|-
 
| 62 || -85.4998 || -85.3977 || -50 ||-85.4375
 
| 62 || -85.4998 || -85.3977 || -50 ||-85.4375
 
|-
 
|-
| 63 || -88.1553 || -88.0521 || -51 ||-88.125<br>-88.1875
+
| 63 || -88.1553 || -88.0521 || -51 ||-88.125<br>-88.0625
 
|-
 
|-
| 64 || -90.8360 || -90.7319 || -52 ||-90.8125<br>-90.875
+
| 64 || -90.8360 || -90.7319 || -52 ||-90.8125<br>-90.75
 
|-
 
|-
| 65 || -93.5415 || -93.4364 || -53 ||-93.5<br>-93.5625
+
| 65 || -93.5415 || -93.4364 || -53 ||-93.5<br>-93.4375
 
|-
 
|-
| 66 || -96.2713 || -96.1653 || -54 ||-96.25<br>-96.3125
+
| 66 || -96.2713 || -96.1653 || -54 ||-96.25<br>-96.1875
 
|-
 
|-
| 67 || -99.0249 || -98.9180 || -55 ||-99.0<br>-99.0625
+
| 67 || -99.0249 || -98.9180 || -55 ||-99.0<br>-98.9375
 
|-
 
|-
 
| 68 || -101.8018 || -101.6940 || -56 ||-101.75
 
| 68 || -101.8018 || -101.6940 || -56 ||-101.75
 
|-
 
|-
| 69 || -104.6016 || -104.4930 || -57 ||-104.5625<br>-104.625
+
| 69 || -104.6016 || -104.4929 || -57 ||-104.5625<br>-104.5
 
|-
 
|-
 
| 70 || -107.4237 || -107.3143 || -58 ||-107.375
 
| 70 || -107.4237 || -107.3143 || -58 ||-107.375
 
|-
 
|-
| 71 || -110.2679 || -110.1576 || -59 ||-110.25<br>-110.3125
+
| 71 || -110.2679 || -110.1576 || -59 ||-110.25<br>-110.1875
 
|-
 
|-
| 72 || -113.1335 || -113.0225 || -60 ||-113.125<br>-113.1875
+
| 72 || -113.1336 || -113.0224 || -60 ||-113.125<br>-113.0625
 
|-
 
|-
| 73 || -116.0203 || -115.9084 || -61 ||-116.0<br>-116.0625
+
| 73 || -116.0203 || -115.9084 || -61 ||-116.0<br>-115.9375
 
|-
 
|-
 
| 74 || -118.9277 || -118.8150 || -62 ||-118.875
 
| 74 || -118.9277 || -118.8150 || -62 ||-118.875
 
|-
 
|-
| 75 || -121.8554 || -121.7419 || -63 ||-121.8125<br>-121.875
+
| 75 || -121.8554 || -121.7419 || -63 ||-121.8125<br>-121.75
 
|-
 
|-
 
| 76 || -124.8029 || -124.6887 || -64 ||-124.75
 
| 76 || -124.8029 || -124.6887 || -64 ||-124.75
 
|-
 
|-
| 77 || -127.7698 || -127.6549 || -65 ||-127.75<br>-127.8125
+
| 77 || -127.7698 || -127.6549 || -65 ||-127.75<br>-127.6875
 
|-
 
|-
| 78 || -130.7559 || -130.6402 || -66 ||-130.75<br>-130.8125
+
| 78 || -130.7559 || -130.6402 || -66 ||-130.75<br>-130.6875
 
|-
 
|-
| 79 || -133.7606 || -133.6442 || -67 ||-133.75<br>-133.8125
+
| 79 || -133.7606 || -133.6442 || -67 ||-133.75<br>-133.6875
 
|-
 
|-
| 80 || -136.7836 || -136.6665 || -68 ||-136.75<br>-136.8125
+
| 80 || -136.7836 || -136.6665 || -68 ||-136.75<br>-136.6875
 
|-
 
|-
| 81 || -139.8245 || -139.7068 || -69 ||-139.8125<br>-139.875
+
| 81 || -139.8245 || -139.7068 || -69 ||-139.8125<br>-139.75
 
|-
 
|-
| 82 || -142.8830 || -142.7647 || -70 ||-142.875<br>-142.9375
+
| 82 || -142.8831 || -142.7647 || -70 ||-142.875<br>-142.8125
 
|-
 
|-
| 83 || -145.9588 || -145.8398 || -71 ||-145.9375<br>-146.0
+
| 83 || -145.9588 || -145.8398 || -71 ||-145.9375<br>-145.875
 
|-
 
|-
| 84 || -149.0514 || -148.9318 || -72 ||-149.0<br>-149.0625
+
| 84 || -149.0515 || -148.9318 || -72 ||-149.0<br>-148.9375
 
|-
 
|-
| 85 || -152.1606 || -152.0403 || -73 ||-152.125<br>-152.1875
+
| 85 || -152.1606 || -152.0403 || -73 ||-152.125<br>-152.0625
 
|-
 
|-
| 86 || -155.2860 || -155.1651 || -74 ||-155.25<br>-155.3125
+
| 86 || -155.2861 || -155.1651 || -74 ||-155.25<br>-155.1875
 
|-
 
|-
| 87 || -158.4273 || -158.3058 || -75 ||-158.375<br>-158.4375
+
| 87 || -158.4273 || -158.3058 || -75 ||-158.375<br>-158.3125
 
|-
 
|-
| 88 || -161.5842 || -161.4621 || -76 ||-161.5625<br>-161.625
+
| 88 || -161.5842 || -161.4621 || -76 ||-161.5625<br>-161.5
 
|-
 
|-
| 89 || -164.7563 || -164.6337 || -77 ||-164.75<br>-164.8125
+
| 89 || -164.7564 || -164.6337 || -77 ||-164.75<br>-164.6875
 
|-
 
|-
| 90 || -167.9434 || -167.8202 || -78 ||-167.9375<br>-168.0
+
| 90 || -167.9434 || -167.8202 || -78 ||-167.9375<br>-167.875
 
|-
 
|-
| 91 || -171.1452 || -171.0214 || -79 ||-171.125<br>-171.1875
+
| 91 || -171.1452 || -171.0214 || -79 ||-171.125<br>-171.0625
 
|-
 
|-
| 92 || -174.3613 || -174.2370 || -80 ||-174.3125<br>-174.375
+
| 92 || -174.3613 || -174.2370 || -80 ||-174.3125<br>-174.25
 
|-
 
|-
| 93 || -177.5915 || -177.4666 || -81 ||-177.5625<br>-177.625
+
| 93 || -177.5915 || -177.4666 || -81 ||-177.5625<br>-177.5
 
|-
 
|-
| 94 || -180.8355 || -180.7101 || -82 ||-180.8125<br>-180.875
+
| 94 || -180.8355 || -180.7101 || -82 ||-180.8125<br>-180.75
 
|-
 
|-
| 95 || -184.0930 || -183.9671 || -83 ||-184.0625<br>-184.125
+
| 95 || -184.0930 || -183.9671 || -83 ||-184.0625<br>-184.0
 
|-
 
|-
| 96 || -187.3637 || -187.2374 || -84 ||-187.3125<br>-187.375
+
| 96 || -187.3638 || -187.2374 || -84 ||-187.3125<br>-187.25
 
|-
 
|-
| 97 || -190.6475 || -190.5206 || -85 ||-190.625<br>-190.6875
+
| 97 || -190.6475 || -190.5206 || -85 ||-190.625<br>-190.5625
 
|-
 
|-
| 98 || -193.9439 || -193.8166 || -86 ||-193.9375<br>-194.0
+
| 98 || -193.9440 || -193.8166 || -86 ||-193.9375<br>-193.875
 
|-
 
|-
| 99 || -197.2529 || -197.1251 || -87 ||-197.25<br>-197.3125
+
| 99 || -197.2529 || -197.1251 || -87 ||-197.25<br>-197.1875
 
|-
 
|-
| 100 || -200.5740 || -200.4458 || -88 ||-200.5625<br>-200.625
+
| 100 || -200.5741 || -200.4458 || -88 ||-200.5625<br>-200.5
 
|-
 
|-
| 101 || -203.9072 || -203.7785 || -89 ||-203.875<br>-203.9375
+
| 101 || -203.9072 || -203.7784 || -89 ||-203.875<br>-203.8125
 
|-
 
|-
| 102 || -207.2520 || -207.1229 || -90 ||-207.25<br>-207.3125<br>-207.375
+
| 102 || -207.2521 || -207.1229 || -90 ||-207.25<br>-207.1875<br>-207.125
 
|-
 
|-
| 103 || -210.6084 || -210.4788 || -91 ||-210.5625<br>-210.625
+
| 103 || -210.6085 || -210.4788 || -91 ||-210.5625<br>-210.5
 
|-
 
|-
| 104 || -213.9761 || -213.8461 || -92 ||-213.9375<br>-214.0
+
| 104 || -213.9761 || -213.8460 || -92 ||-213.9375<br>-213.875
 
|-
 
|-
| 105 || -217.3548 || -217.2243 || -93 ||-217.3125<br>-217.375
+
| 105 || -217.3548 || -217.2243 || -93 ||-217.3125<br>-217.25
 
|-
 
|-
| 106 || -220.7443 || -220.6134 || -94 ||-220.6875<br>-220.75
+
| 106 || -220.7443 || -220.6134 || -94 ||-220.6875<br>-220.625
 
|-
 
|-
| 107 || -224.1444 || -224.0132 || -95 ||-224.125<br>-224.1875
+
| 107 || -224.1445 || -224.0132 || -95 ||-224.125<br>-224.0625
 
|-
 
|-
| 108 || -227.5549 || -227.4233 || -96 ||-227.5<br>-227.5625
+
| 108 || -227.5550 || -227.4233 || -96 ||-227.5<br>-227.4375
 
|-
 
|-
| 109 || -230.9756 || -230.8437 || -97 ||-230.9375<br>-231.0
+
| 109 || -230.9757 || -230.8436 || -97 ||-230.9375<br>-230.875
 
|-
 
|-
| 110 || -234.4064 || -234.2740 || -98 ||-234.375<br>-234.4375
+
| 110 || -234.4064 || -234.2740 || -98 ||-234.375<br>-234.3125
 
|-
 
|-
| 111 || -237.8468 || -237.7141 || -99 ||-237.8125<br>-237.875
+
| 111 || -237.8469 || -237.7141 || -99 ||-237.8125<br>-237.75
 
|-
 
|-
| 112 || -241.2969 || -241.1638 || -100 ||-241.25<br>-241.3125
+
| 112 || -241.2970 || -241.1638 || -100 ||-241.25<br>-241.1875
 
|-
 
|-
| 113 || -244.7564 || -244.6230 || -101 ||-244.75<br>-244.8125<br>-244.875
+
| 113 || -244.7565 || -244.6229 || -101 ||-244.75<br>-244.6875<br>-244.625
 
|-
 
|-
| 114 || -248.2251 || -248.0913 || -102 ||-248.1875<br>-248.25
+
| 114 || -248.2252 || -248.0913 || -102 ||-248.1875<br>-248.125
 
|-
 
|-
| 115 || -251.7028 || -251.5687 || -103 ||-251.6875<br>-251.75
+
| 115 || -251.7029 || -251.5686 || -103 ||-251.6875<br>-251.625
 
|-
 
|-
| 116 || -255.1894 || -255.0549 || -104 ||-255.1875<br>-255.25<br>-255.3125
+
| 116 || -255.1895 || -255.0549 || -104 ||-255.1875<br>-255.125<br>-255.0625
 
|}
 
|}
  +
</translate>

Latest revision as of 13:54, 4 September 2021

Other languages:

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, beause the player lands the jump at Y=0.7532 either way.

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 duration to tiers, there is a simple formula:


Jump Heights per Duration

The following table lists the player's jump height at every tick until -256b.

The reason the height peak is higher in 1.9+ is because the momentum threshold has been lowered to 0.003, and no longer affects jumping.

Some jumps are easier in 1.9+ because their tier has been lowered: those are indicated in "Tier Updates".

Duration (ticks) Height (1.8) Height (1.9+) Maximum Tier Tier Updates
1 0.0 0.0 -
2 0.4200 0.4200 -
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 1.25
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 -1.4375
16 -2.0971 -2.0695 -4
17 -2.8142 -2.7841 -5 -2.8125
18 -3.5953 -3.5628 -6
19 -4.4392 -4.4044 -7 -4.4375
20 -5.3446 -5.3075 -8 -5.3125
21 -6.3104 -6.2709 -9
22 -7.3352 -7.2935 -10 -7.3125
23 -8.4179 -8.3740 -11 -8.375
24 -9.5573 -9.5114 -12
25 -10.7524 -10.7043 -13 -10.75
26 -12.0020 -11.9518 -14 -12.0
27 -13.3050 -13.2528 -15
28 -14.6603 -14.6062 -16 -14.625
29 -16.0669 -16.0108 -17 -16.0625
30 -17.5238 -17.4658 -18 -17.5
31 -19.0299 -18.9701 -19 -19.0
32 -20.5843 -20.5227 -20 -20.5625
33 -22.1861 -22.1226 -21 -22.125
34 -23.8341 -23.7690 -22 -23.8125
35 -25.5277 -25.4608 -23 -25.5
36 -27.2657 -27.1972 -24 -27.25
37 -29.0474 -28.9772 -25 -29.0
38 -30.8719 -30.8001 -26 -30.8125
39 -32.7383 -32.6649 -27 -32.6875
40 -34.6457 -34.5708 -28 -34.625
41 -36.5934 -36.5170 -29 -36.5625
42 -38.5806 -38.5026 -30 -38.5625
43 -40.6064 -40.5270 -31 -40.5625
44 -42.6701 -42.5893 -32 -42.625
45 -44.7709 -44.6887 -33 -44.75
46 -46.9081 -46.8245 -34 -46.875
47 -49.0810 -48.9960 -35 -49.0625
-49.0
48 -51.2888 -51.2025 -36 -51.25
49 -53.5308 -53.4432 -37 -53.5
50 -55.8064 -55.7176 -38 -55.75
51 -58.1149 -58.0248 -39 -58.0625
52 -60.4556 -60.3643 -40 -60.4375
-60.375
53 -62.8279 -62.7354 -41 -62.8125
-62.75
54 -65.2312 -65.1375 -42 -65.1875
55 -67.6648 -67.5700 -43 -67.625
56 -70.1281 -70.0322 -44 -70.125
-70.0625
57 -72.6205 -72.5235 -45 -72.5625
58 -75.1416 -75.0435 -46 -75.125
-75.0625
59 -77.6905 -77.5914 -47 -77.6875
-77.625
60 -80.2670 -80.1668 -48 -80.25
-80.1875
61 -82.8702 -82.7690 -49 -82.8125
62 -85.4998 -85.3977 -50 -85.4375
63 -88.1553 -88.0521 -51 -88.125
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