Wickets fall at a very random rate. Runs are scored at a more even rate. So, instead of having a target of more runs in 20 wickets, the plan is to a target of least wickets to fall to score a set number of runs. You can have as many innings as needed to get those runs.
For example suppose the target for a test match is 500 runs. Then the two teams alternate innings (an innings always counts as 10 wickets) till one team has 500 or more runs. If it is the team batting 2nd then they win because the other team has already lost more wickets. If it is the team batting first that first exceeds 500 runs, then the team batting 2nd knows how many wickets they can afford to lose before they get to 500 to win. Ties will be more common, so maybe have a tie-breaker system, but I don't have a problem with ties.
One nice thing about this scheme is that you can play the game to a finish, however long that takes with rain, without the dangers of matches going for a long time, as used to happen before WWII. Let's have more ties and no draws.
The main objective is that pitches be prepared that don't have the ball rising sharply from just short of a length.
This can be combined with another idea I like: Let the captains make a bid (in runs) for the right to decide who bats first. The side losing the auction starts their innings with the runs they bid.
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