Cincinnati does not have a first-place clinch number

Here is a scenario in which Cincinnati wins all 56 of their remaining games (112 total) but does not but does not clinch first place.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Milwaukee        63	43	56	0.594	0.0
Cincinnati       56	50	56	0.528	7.0
St. Louis        53	52	57	0.505	9.5
Chicago          51	56	55	0.477	12.5
Pittsburgh       40	65	57	0.381	22.5

Next, we show how the remaining series of games in Cincinnati's division plays out in the scenario:

Chicago wins 0 games against Cincinnati and loses 6.
Chicago wins 4 games against Milwaukee and loses 3.
Chicago wins 7 games against Pittsburgh and loses 0.
Chicago wins 7 games against St. Louis and loses 0.
Chicago wins 28 games against teams outside the division and loses 0.

Cincinnati wins 6 games against Chicago and loses 0.
Cincinnati wins 3 games against Milwaukee and loses 0.
Cincinnati wins 13 games against Pittsburgh and loses 0.
Cincinnati wins 6 games against St. Louis and loses 0.
Cincinnati wins 28 games against teams outside the division and loses 0.

Milwaukee wins 3 games against Chicago and loses 4.
Milwaukee wins 0 games against Cincinnati and loses 3.
Milwaukee wins 6 games against Pittsburgh and loses 0.
Milwaukee wins 13 games against St. Louis and loses 0.
Milwaukee wins 27 games against teams outside the division and loses 0.

Pittsburgh wins 0 games against Chicago and loses 7.
Pittsburgh wins 0 games against Cincinnati and loses 13.
Pittsburgh wins 0 games against Milwaukee and loses 6.
Pittsburgh wins 10 games against St. Louis and loses 0.
Pittsburgh wins 21 games against teams outside the division and loses 0.

St. Louis wins 0 games against Chicago and loses 7.
St. Louis wins 0 games against Cincinnati and loses 6.
St. Louis wins 0 games against Milwaukee and loses 13.
St. Louis wins 0 games against Pittsburgh and loses 10.
St. Louis wins 21 games against teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Cincinnati       112	50	0.691	0.0
Milwaukee        112	50	0.691	0.0
Chicago          97	65	0.599	15.0
St. Louis        74	88	0.457	38.0
Pittsburgh       71	91	0.438	41.0

# Cincinnati Reds's magic number
# Cincinnati's magic number
# Reds's magic number
# MLB Playoff Race