User:Bermicourt/Card games/Königrufen scoring system

Scoring
An important feature of Königrufen is the way in which the cards are scored. The total value of the cards is 70 points, but they are divided into 1/3 points. The individual values of the cards are:
 * 4 1/3 points: the Trull cards and the Kings
 * 3 1/3 points: the Queens
 * 2 1/3 points: the Cavaliers
 * 1 1/3 points: the Jacks
 * 1/3 point: all other cards (= the remaining tarocks and the pip cards)

A card worth 1/3 point is called a Blatt which is why the terms Blatt and Drittelpunkt (1/3 of a point) are used synonymously.

The aim in positive contracts is to score the majority of the 70 points available; strictly speaking to score 35 2/3 points. 35 1/3 points are traditionally rounded down to 35 points and if the scores are 35:35 the declarer has lost – there is no provision for a drawn game. Occasionally local rules allow 35 1/3 points to be a winning score; especially in the Styria.

Since it is cumbersome to add up the values including the third points individually, the value of each card for counting is rounded up or down instead. The rounded-up values correspond to those of other Tarock games, such as Zwanzigerrufen and Hungarian Tarock. The rounded ones were the original ones; a point was added to them for each trick in the old Dreiertarock card game.

Rounded-up card values

 * 5 points: the Trull cards and the Kings
 * 4 points: the Queens
 * 3 points: the Cavaliers
 * 2 points: the Jacks
 * 1 point: all other cards (= the remaining tarocks and the pip cards)

To simplify the calculation of scores the cards are grouped in threes, their rounded-up values above are totalled and 2 points deducted. So a King, Jack and pip card are thus worth (5 + 2 + 1) – 2 = 6 points. If a single card is left over, 2/3 points are deducted from its rounded-up value; if two cards are left, 1 1/3 points are deducted. If one wishes to keep score during the game one has to subtract as one goes along: for example, the Pagat, a King, a Cavalier and a Jack are worth (5 + 5 + 3) − 2 + 2 − 2/3 = 12 1/3.

Rounded-down card values

 * 4 points: the Trull cards and the Kings
 * 3 points: the Queens
 * 2 points: the Cavaliers
 * 1 point: the Jacks
 * 0 points: all other cards (= the remaining tarocks and the pip cards)

Now take the value of three cards and add 1. As in the example above, a King, Jack and pip card are worth (4 + 1 + 0) + 1 = 6 points. If you want to count during the game, you add the 4 cards in the tricks together and add 1 1/3. So for example the Pagat, a King, a Cavalier and a Jack are worth (4 + 4 + 2 + 2 + 1) + 1 1/3 = 12 1/3.