Ron Taylor had the lowest WHIP in the 1964 World Series with a WHIP over 0.00, with a WHIP of 0.21.

	NAME	WHIP	SEASON	SERIES	TM	G	W	L	W%	GS	ERA	SO	CG	SV	IP	H	ER	R	HR	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	BABIP	RA	H/9
1	Ron Taylor R. Taylor	0.21	1964	World Series	STL	2	0	0		0	0.00	2	0	1	4.2	0	0	0	0	1	0	1	0	14	0	3.86	1.93	2.00	0.00	14.3	7.1	.000	0.00	0.00
2	Rollie Sheldon R. Sheldon	0.75	1964	World Series	NYY	2	0	0		0	0.00	2	0	0	2.2	0	0	2	0	2	0	0	1	10	0	6.75	6.75	1.00	0.00	20.0	20.0	.000	6.75	0.00
3	Curt Simmons C. Simmons	0.98	1964	World Series	STL	2	0	1	.000	2	2.51	8	0	0	14.1	11	4	4	2	3	0	0	1	56	0	5.02	1.88	2.67	1.26	14.3	5.4	.209	2.51	6.91
4	Ralph Terry R. Terry	1.00	1964	World Series	NYY	1	0	0		0	0.00	3	0	0	2.0	2	0	0	0	0	0	1	0	7	0	13.50	0.00		0.00	42.9	0.0	.500	0.00	9.00
5	Roger Craig R. Craig	1.00	1964	World Series	STL	2	1	0	1.000	0	0.00	9	0	0	5.0	2	0	0	0	3	0	1	0	19	0	16.20	5.40	3.00	0.00	47.4	15.8	.286	0.00	3.60
6	Bob Gibson B. Gibson	1.15	1964	World Series	STL	3	2	1	.667	3	3.00	31	2	0	27.0	23	9	11	4	8	2	0	2	113	1	10.33	2.67	3.88	1.33	27.4	7.1	.279	3.67	7.67
7	Jim Bouton J. Bouton	1.15	1964	World Series	NYY	2	2	0	1.000	2	1.56	7	1	0	17.1	15	3	4	0	5	0	0	1	72	0	3.63	2.60	1.40	0.00	9.7	6.9	.250	2.08	7.79
8	Mel Stottlemyre M. Stottlemyre	1.20	1964	World Series	NYY	3	1	1	.500	3	3.15	12	1	0	20.0	18	7	8	0	6	0	0	0	84	0	5.40	2.70	2.00	0.00	14.3	7.1	.273	3.60	8.10
9	Pete Mikkelsen P. Mikkelsen	1.29	1964	World Series	NYY	4	0	1	.000	0	5.79	4	0	0	4.2	4	3	4	1	2	0	3	0	20	0	7.71	3.86	2.00	1.93	20.0	10.0	.231	7.71	7.71
10	Al Downing A. Downing	1.43	1964	World Series	NYY	3	0	1	.000	1	8.22	5	0	0	7.2	9	7	8	2	2	0	0	0	35	0	5.87	2.35	2.50	2.35	14.3	5.7	.269	9.39	10.57
11	Steve Hamilton S. Hamilton	1.50	1964	World Series	NYY	2	0	0		0	4.50	2	0	1	2.0	3	1	1	1	0	0	1	0	9	0	9.00	0.00		4.50	22.2	0.0	.333	4.50	13.50
12	Whitey Ford W. Ford	1.69	1964	World Series	NYY	1	0	1	.000	1	8.44	4	0	0	5.1	8	5	5	1	1	0	0	0	25	0	6.75	1.69	4.00	1.69	16.0	4.0	.368	8.44	13.50
13	Ray Sadecki R. Sadecki	2.68	1964	World Series	STL	2	1	0	1.000	2	8.53	2	0	0	6.1	12	6	7	1	5	0	0	0	33	0	2.84	7.11	0.40	1.42	6.1	15.2	.440	9.95	17.05
14	Barney Schultz B. Schultz	3.00	1964	World Series	STL	4	0	1	.000	0	18.00	1	0	1	4.0	9	8	8	2	3	0	2	1	24	0	2.25	6.75	0.33	4.50	4.2	12.5	.389	18.00	20.25
15	Hal Reniff H. Reniff	6.00	1964	World Series	NYY	1	0	0		0	0.00	0	0	0	0.1	2	0	0	0	0	0	0	0	3	0	0.00	0.00		0.00	0.0	0.0	.667	0.00	54.00
16	Gordie Richardson G. Richardson	7.50	1964	World Series	STL	2	0	0		0	40.50	0	0	0	0.2	3	3	3	1	2	0	0	2	7	0	0.00	27.00	0.00	13.50	0.0	28.6	.500	40.50	40.50

StatMuse has game-level data for WHIP going back to the 1903 playoffs.

Some of the information used here was obtained free of charge from Retrosheet.

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Sat 8/29	PIT	@	STL	2:15 PM
Sun 8/30	PIT	@	STL	2:15 PM
Tue 9/1	STL	@	LAD	10:10 PM
Wed 9/2	STL	@	LAD	10:10 PM
Thu 9/3	STL	@	LAD	10:10 PM

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