The New York Yankees had the most home runs per run by a team in 1981, with 0.24.

	TEAM	HR/R	HR	R	SEASON	G	W%	W	L	AB	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Yankees	0.24	100	421	1981	107	.551	59	48	3,529	889	148	22	403	391	7	434	47	30	3,994	1,381	270	40	27	30	99	.252	.325	.391	.717
2	Athletics	0.23	104	458	1981	109	.587	64	45	3,677	910	119	26	430	342	16	647	98	47	4,113	1,393	249	46	32	26	75	.247	.312	.379	.691
3	Mariners	0.21	89	426	1981	110	.404	44	65	3,780	950	148	13	406	329	27	553	100	50	4,201	1,391	250	41	24	24	70	.251	.314	.368	.682
4	Orioles	0.21	88	429	1981	105	.562	59	46	3,516	883	165	11	408	404	15	454	41	34	3,985	1,334	264	26	24	29	110	.251	.329	.379	.708
5	Angels	0.2	97	476	1981	110	.464	51	59	3,688	944	134	16	439	393	29	571	44	33	4,191	1,401	247	51	30	23	97	.256	.330	.380	.710
6	Brewers	0.19	96	493	1981	109	.569	62	47	3,743	961	173	20	475	300	29	461	39	36	4,152	1,462	289	35	45	35	83	.257	.313	.391	.704
7	Blue Jays	0.19	61	329	1981	106	.349	37	69	3,521	797	137	23	314	284	20	556	66	57	3,887	1,163	221	44	18	23	72	.226	.286	.330	.617
8	Expos	0.18	81	443	1981	108	.556	60	48	3,591	883	146	28	407	368	16	498	138	40	4,068	1,328	255	63	30	55	74	.246	.316	.370	.686
9	Dodgers	0.18	82	450	1981	110	.573	63	47	3,751	984	133	20	427	331	17	550	73	46	4,188	1,403	235	62	27	38	83	.262	.323	.374	.697
10	Red Sox	0.17	90	519	1981	108	.546	59	49	3,820	1,052	168	17	492	378	13	520	32	31	4,281	1,524	275	37	33	18	98	.275	.340	.399	.739
11	Mets	0.16	57	348	1981	105	.398	41	62	3,493	868	136	35	325	304	13	603	103	42	3,885	1,245	228	41	34	35	78	.248	.308	.356	.665
12	Braves	0.16	64	395	1981	107	.472	50	56	3,642	886	148	22	366	321	18	540	98	39	4,055	1,270	234	56	18	38	83	.243	.306	.349	.655
13	White Sox	0.16	76	476	1981	106	.509	54	52	3,615	982	135	27	438	322	43	518	86	44	4,064	1,399	238	48	36	16	90	.272	.335	.387	.722
14	Cubs	0.15	57	370	1981	106	.369	38	65	3,546	838	138	29	348	342	13	611	72	41	3,984	1,205	224	53	30	44	78	.236	.303	.340	.643
15	Royals	0.15	61	397	1981	103	.485	50	53	3,560	952	169	29	381	301	17	419	100	53	3,941	1,362	259	28	35	34	84	.267	.325	.383	.707
16	Tigers	0.15	65	427	1981	109	.550	60	49	3,600	922	148	29	403	404	18	500	61	37	4,109	1,323	242	50	37	33	98	.256	.331	.368	.699
17	Giants	0.15	63	427	1981	111	.505	56	55	3,766	941	161	26	399	386	14	543	89	50	4,258	1,343	250	65	27	49	91	.250	.320	.357	.676
18	Phillies	0.14	69	491	1981	107	.551	59	48	3,665	1,002	165	25	453	372	23	432	103	46	4,141	1,424	259	44	37	42	79	.273	.341	.389	.730
19	Reds	0.14	64	464	1981	108	.611	66	42	3,637	972	190	24	429	375	18	553	58	37	4,123	1,402	278	53	40	38	98	.267	.335	.385	.721
20	Pirates	0.14	55	407	1981	103	.451	46	56	3,576	920	176	30	384	278	15	494	122	52	3,959	1,321	261	54	36	37	60	.257	.311	.369	.680
21	Twins	0.12	47	378	1981	110	.376	41	68	3,676	884	147	36	359	275	11	497	34	27	4,025	1,244	230	36	27	28	95	.240	.293	.338	.632
22	Astros	0.11	45	394	1981	110	.555	61	49	3,693	948	160	35	369	340	8	488	81	43	4,155	1,313	240	79	35	49	69	.257	.318	.356	.673
23	Rangers	0.11	49	452	1981	105	.543	57	48	3,581	968	178	15	418	295	21	396	46	41	3,972	1,323	242	36	39	40	84	.270	.326	.369	.696
24	Cardinals	0.11	50	464	1981	103	.578	59	43	3,537	936	158	45	431	379	16	495	88	45	4,013	1,334	253	46	35	41	82	.265	.336	.377	.713
25	Indians	0.09	39	431	1981	103	.505	52	51	3,507	922	150	21	397	343	13	379	119	37	3,952	1,231	210	46	43	31	91	.263	.327	.351	.678