Total Average Timing
Total Average Timing is the time system where
- one gets an initial period of time,
- time used for each move is deducted,
- and an extra period of time is added after each N-th move.
Extra periods are of same size, the initial one may differ.
In other words,
- one is required having made at least P x N moves before the first P periods have passed.
|------| time before
|---| time for N moves
|--|------| time after
This system is a generalization of Fischer Timing.
The difference to Canadian Timing is that the remaining time after stones were used up is added to the new period.
Exir: What exactly IS the difference between Steady and Total? The description & diagram on both pages look the same.
This follows when one modifies Total such that it emulates Steady:
- Don't deduct a stone if at least one period is left.
With appropriate clocks, players and organizers therefore should favor Total:
- it is least restrictive on players
- but still ensures organizers their average.
With only a plain clock, however, Total Average has to be emulated -- see below.
The player gets
- the initial period,
- N stones,
- and no coins.
If the player runs out of time with no coin:
- the player loses on time.
If the player runs out of time with at least one coin:
- the opponent stops both clocks,
- the player pays one coin,
- the opponent puts one extra period on the player's clock,
- they check,
- and the opponent starts the player's clock again.
If the player runs out of stones:
- the player stops both clocks,
- the opponent hands over one coin,
- the player counts out N stones,
- they check,
- and the player starts the opponent's clock.
xela: I think it's simpler than you're making out. The number N is the same for both players, right? So after the second player has made their Nth move, you stop the clocks, add time for both players, count out the next N stones, and continue. No need for coins or for multiple "if" statements.
This is the system that was used in chess tournaments for many years, and noone had a problem with it (except for tournament organisers who wanted games to end in a bounded time).
(In the description above, if both players start the game with no coins, where do the coins come from?)
3 moves ("stones") in 3 minutes.
# Time Stones left Used -------------------------- 1 3:00 3 0:40 2 2:20 2 1:50 3 0:30 1 0:29 4 3:01 3 1:10 5 1:51 2 1:45 6 0:06 1 0:03 7 3:03 3 2:10 8 0:53 2 0:53 9 0:00 1 lost