How does Ohtani's all-round batting-pitching season compare to some other great seasons?

A SABR friend, Tom Thayer, raised this issue. So I calculated the harmonic mean of batting WAR (BWAR) and pitching WAR (PWAR) for a few different players (some of whom were suggested by Jessica Brand, Emory Brinkman and Adam Darowski).

 

Harmonic = (2*BWAR*PWAR)/(BWAR  + PWAR)

 

It is like the Bill James Speed Score that uses HRs ans SBs. 

The table below has the "Batting-Pitching Score" for each guy as Harmonic. For the guys whose teams played fewer than 162 games, I gave  them a pro-rated score (see Per 162). Ohtani compares very well. Anyone ahead of him was more than 90 years ago.

This is not a top 10 or leader list. I can't think of anyone else since 1945 who might do well. But if anyone has any suggestions, please let me know.

 

Player	Year	BWAR	PWAR	Harmonic	Team G	Per 162
Whitney	1883	2.1	11.4	3.55	98	5.86
Caruthers	1886	3.9	7.6	5.15	139	6.01
Foutz	1886	1.3	9.7	2.29	139	2.67
Terry	1890	1.4	4.9	2.18	129	2.73
Stivetts	1891	1.4	7.7	2.37	139	2.76
Ruth	1918	4.7	2.3	3.09	126	3.97
Ruth	1919	9.1	0.8	1.47	138	1.73
Rogan	1925	1.9	7.4	3.02	84	5.83
Dihigo	1929	3.2	1.6	2.13	62	5.57
Ferrell	1935	2.4	8.2	3.71	154	3.91
Ohtani	2021	4.9	4.1	4.46	162	4.46