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: $$Tier = 12 - Ticks$$

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