Calculating Show Freestyle scores

Show Freestyle freestyle scores are based on an average routine difficulty level where presentation, required disciplines, and deductions can affect the score.

Difficulty ($D$) is calculated as the the average difficulty of all the skill sequences in the routine.

Presentation ($P$) increases the score by a percentage of the difficulty score calculated from the presentation marks (+, and -).

Required disciplines ($Q$) take off a percentage from the total score for missed required disciplines.

Deductions ($M$) take off a percentage for misses, and time and space violations.

The result/routine score (called $R$) is obtained by multiplying the difficulty score ($D$) with the presentation score plus 1 ($P$), the required disciplines score ($Q$), and the deduction score ($M$). The result cannot be lower than 0.

$$R = D \times P \times Q \times M$$

The calculation for each of these scores is described in the following sections.

Difficulty

The difficulty score is the average of the average of skills per difficulty judge type.

The points per level can be calculated with the following formulas where $x$ is the level of the skill $L\left(x\right) = 1.5^x$ rounded to two decimal places.¹ However, a level 0 skill is always worth 0 points.

A "plus"-level (such as level 3+) is calculated as the level plus 0.5 (for example $L\left(3 + 0.5\right) = L\left(3.5\right)$), whereas a "minus"-level is calculated as the level minus 0.25 (for example $L\left(3 -0.25\right) = L\left(2.75\right)$).

The score for each Difficulty judge is calculated by first converting all plus- and minus-level marks into their numeric representation (for example, Level 3+ becomes level 3.5, level 2- becomes level 1.75, etc.).

The amount of marks for each level (0, 0.75, 1, 1.5, 1.75, 2, 2.5, etc., called $n_x$, where $x$ is the level) is then multiplied by $L\left(x\right)$. The sum of all the points per level is then divided by the total number of marks to get the average difficulty level, called $d_{J,j}$ where $j$ is the judge number.

All the Jumper Difficulty judges' scores are then averaged together according to the averaging rules, the result is called $D$.

Because of the averaging, the total difficulty score is between 0 and $L\left(5.5\right) = 9.30$

Presentation

The presentation score is calculated in the same way as the Single Rope Presentation score, but with the factor the presentation score may impact the score being $F_p = 60 \% = 0.60$, which means the scaling factor to get the final score is $\frac{2F_p}{24} = 0.05$

Required disciplines

Each missed required discipline may impact the score by a factor of $F_q = 5 \% = 0.05$

The average number of missing required disciplines recorded by the technical judges are calculated and called $a_q$​ this average is rounded to a whole number, the factor $F_q$​ is then multiplied by $a_q$​, the result is called $q$​. ($q = F_q \times \lfloor a_q \rceil$​)

note

A required discipline is either not performed or performed and a score of either performed (1) or not performed (0) can be obtained per required discipline.

The required disciplines ($q$) are subtracted from 1 to be converted into a factor, the result is called $Q$ ($Q = 1 - q$​)

Deductions

Time violations will impact the score by a factor of $F_v = 5\% = 0.05$​ each.
Misses will impact the score by a factor of $F_m = 2\% = 0.02$ each.

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, the factor $F_m$​ is then multiplied with $a_m$​, the result is called $m$​. ($m = F_m \times \lfloor a_m \rceil$​)

The average number of time violations recorded by the technical judges 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 ($m$) and violations ($v$) are summed together and subtracted from 1, the result is called $M$ and cannot be lower than 0. ($M = 1 - \left( m + v \right)$)

Result

The result/routine score (called $R$) is obtained by multiplying the difficulty score ($D$) with the presentation score ($P$), the deduction score ($M$), and the required disciplines score ($Q$). The result cannot be lower than 0.

$$R = D \times P \times Q \times M$$

Footnotes

1. Note that compared to Single Rope the points per level is not multiplied by $0.1$. ↩