Minnesota Twins First-Place Clinch Scenario

Minnesota's traditional magic number (relative to first-place Cleveland) is 20 + 132 - 17 + 1 = 136.
Minnesota's first-place clinch number is 130.
Minnesota must win 130 more games (147 total) to clinch first place.

If Minnesota wins 130 more games, their final win total will be at least 147.
The table below shows the best case scenario for each of the other teams if Minnesota wins 130 of their remaining 132 games and loses the other 2.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Minnesota' column gives the
minimum number of games that each team will lose to Minnesota if Minnesota wins 130 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Minnesota, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Minnesota	Maximum W
Detroit          18	13	131	       6 - 2 = 4	145
Cleveland        20	10	132	      11 - 2 = 9	143
Kansas City      19	13	130	      10 - 2 = 8	141
Chicago          6	25	131	       6 - 2 = 4	133

The table above shows that if Minnesota wins 130 more games (147 total), then they will finish the season in first place in the division.

To see that Minnesota's first-place clinch number cannot be less than 130, consider the following scenario in which Minnesota wins 129 more games (146 total) but does not finish in first place:

Team             W	L	PCT	GB
Detroit          146	16	0.901	0.00
Minnesota        146	16	0.901	0.00
Kansas City      101	61	0.623	45.00
Chicago          84	78	0.519	62.00
Cleveland        84	78	0.519	62.00

Tie breakers
Detroit wins the season series with Minnesota 7 games to 6.

Chicago wins the season series with Cleveland 11 games to 2.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        20	10	132	0.667	0.0
Kansas City      19	13	130	0.594	2.0
Detroit          18	13	131	0.581	2.5
Minnesota        17	13	132	0.567	3.0
Chicago          6	25	131	0.194	14.5

Next, we show how the remaining series of games in the division play out in the scenario:


Chicago currently has 1 wins against Cleveland and 2 losses.
  Chicago wins 10 additional games against Cleveland and loses 0.
  Chicago wins the series 11 games to 2

Detroit currently has 3 wins against Chicago and 0 losses.
  Detroit wins 10 additional games against Chicago and loses 0.
  Detroit wins the series 13 games to 0

Detroit currently has 0 wins against Cleveland and 0 losses.
  Detroit wins 13 additional games against Cleveland and loses 0.
  Detroit wins the series 13 games to 0

Detroit currently has 2 wins against Kansas City and 1 losses.
  Detroit wins 10 additional games against Kansas City and loses 0.
  Detroit wins the series 12 games to 1

Detroit currently has 4 wins against Minnesota and 3 losses.
  Detroit wins 3 additional games against Minnesota and loses 3.
  Detroit wins the series 7 games to 6

Kansas City currently has 6 wins against Chicago and 1 losses.
  Kansas City wins 5 additional games against Chicago and loses 1.
  Kansas City wins the series 11 games to 2

Kansas City currently has 0 wins against Cleveland and 0 losses.
  Kansas City wins 13 additional games against Cleveland and loses 0.
  Kansas City wins the series 13 games to 0

Minnesota currently has 7 wins against Chicago and 0 losses.
  Minnesota wins 6 additional games against Chicago and loses 0.
  Minnesota wins the series 13 games to 0

Minnesota currently has 0 wins against Cleveland and 2 losses.
  Minnesota wins 11 additional games against Cleveland and loses 0.
  Minnesota wins the series 11 games to 2

Minnesota currently has 2 wins against Kansas City and 1 losses.
  Minnesota wins 10 additional games against Kansas City and loses 0.
  Minnesota wins the series 12 games to 1

Chicago wins 67 games agains teams outside the division and loses 32.
Cleveland wins 64 games agains teams outside the division and loses 21.
Detroit wins 92 games agains teams outside the division and loses 0.
Kansas City wins 64 games agains teams outside the division and loses 27.
Minnesota wins 99 games agains teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Minnesota Twins' magic number
# Minnesota's magic number
# Twins' magic number
# MLB Playoff Race