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Technical Manual

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Calculating Single Rope freestyle scores

Required elements

Required elements

Each missed required element may impact the score by a factor of $F_q = 2.5\% = 0.025$

For each difficulty judge, the number of missing required elements for their judge type is calculated by subtracting the number of skills performed at a level 3 or higher (called $n_{3+}$), and 0.5 times the number of skills performed at a level 2 or lower (called $n_{2-}$) from the number of required elements for that judge type (called $N_{q,t}$ where $t$ is the judge type), with a minimum result of 0. This number is called $a_{q,t}$ where $t$ is the judge type, P, M, or R. For example

For each difficulty judge, the number of missing required elements for their judge type is calculated by looking at the 6 highest difficulty marks recorded by each judge, and then subtracting the of number those of skills performed at a level 3 or higher (called $n_{3+}$), and 0.5 times the number of those skills performed at a level 2 or lower (called $n_{2-}$) from the number of required elements for that judge type (called $N_{q,t}$ where $t$ is the judge type), with a minimum result of 0. This number is called $a_{q,t}$ where $t$ is the judge type, P, M, or R. For example

$$a_{q,M} = max\left( N_{q,M} - n_{3+} - 0.5n_{2-}, 0 \right)$$

For competition events with pairs interactions, the number of missing required elements are calculated by subtraction the number of marks recorded by each technical judge (with difficulty level playing no part) (called $n$) from the number of required pairs interactions (called $N_{q,t}$ where $t$ is I for interactions), with a minimum of 0. The number is called $a_{q,t}$ where $t$ is the required element type: I. For example

$$a_{q,I} = max\left( N_{q,I} - n, 0 \right)$$

For each judge type/required element, the $a_{q,t}$ scores are then averaged according to the averaging rules, and rounded to a whole number. The result is called $q_t$.

All the q-scores are summed and multiplied by $F_q$, the result of which is subtracted from 1 to be converted into a factor, the result is called $Q$ ($Q = 1 - F_q \times \left( q_{M} + q_{P} + q_{R} \right)$ or $Q = 1 - F_q \times \left( q_{M} + q_{P} + q_{R} + q_{I} \right)$).

Deductions

Deductions

Time and space violations will impact the score by a factor of $F_v = 5\% = 0.05$​ each.
Breaks will impact the score by a factor of $F_b = 5\% = 0.05$.
The first miss will impact the score by a factor of $F_{m,1} = 5\% = 0.05$, the second miss by a factor of $F_{m,2} = 7.5\% = 0.075$ and the third miss and onward will impact the score by a factor of $F_{m} = 10\% = 0.1$.

The average number of misses recorded by all judges counting misses are calculated according to the averaging rules. This average is called $a_m$​ and is rounded to a whole number. $a_m$ is then turned into the miss score $m$ as follows: if $a_m$ is 0 then $m$ is $0$, if $a_m = 1$ then $m = F_{m,1}$, if $a_m = 2$ then $m = F_{m,1} + F_{m,2}$, if $a_m > 2$ then $m = F_{m,1} + F_{m,2} + (a_m - 2)\times F_{m}$​.

Or, in one formula:

$$\begin{aligned} m = &\left( F_{m,1} \times max\left( a_m, 1 \right) \right) \\ &+ \left( F_{m,2} \times clamp\left( a_m - 1, 0, 1 \right) \right) \\ &+ \left( F_{m} \times min\left( a_m - 2, 0 \right) \right) \end{aligned}$$

$$\begin{aligned} m = &\left( F_{m,1} \times min\left( a_m, 1 \right) \right) \\ &+ \left( F_{m,2} \times clamp\left( a_m - 1, 0, 1 \right) \right) \\ &+ \left( F_{m} \times max\left( a_m - 2, 0 \right) \right) \end{aligned}$$

The average number of breaks are calculated and called $a_b$​ this average is also rounded to a whole number, the factor $F_b$​ is then multiplied with $a_b$​, the result is called $b$​. ($b = F_b \times \lfloor a_b \rceil$​)

The average number of additional violations (time and space) are calculated and called $a_v$​ this average is also rounded to a whole number, the factor $F_v$​ is then multiplied with $a_v$​, the result is called $v$​. ($v = F_v \times \lfloor a_v \rceil$​)

The misses ($m$), breaks ($b$) and violations ($v$) are summed together and subtracted from 1, the result is called $M$ and cannot be lower than 0. ($M = 1 - \left( m + b + v \right)$)