Roughly how big were Thirty Years War battles of the Swedish phase?

Battle of Lützen 1632

As I eventually want to use Tilly's Very Bad Day to play historical scenarios, I thought I'd better get a handle on exactly how big the major battles were during the Swedish phase of the Thirty Years War (1630-1635).

This is a ‘quick and dirty’ exercise so I’m happy to grab figures where I can. I started with Steven Thomas's timeline of the war before moving on to Richard Bonney’s The Thirty Years’ War 1618-1648. I also have William Guthrie’s two-volume Battles of the Thirty Years War but that’s rather too detailed for this purpose.

Where I have only crude totals, I’ve converted as if the men were all Pike+shot. The various different labels given to factions may need improvement.

The numbers show (1) Actual men, and in parenthesis (2) Representation at the lowest rate where 1 base = 1000 Pike+shot, 500 Horse or 8 Cannon, and (3) Representation at the highest rate where 1 base = 2000 Pike+shot, 1000 Horse or 16 Cannon. The results have been rounded to whole bases.

It can be seen that the numbers of bases required is reasonable and can be tailored to suit what players have available by changing the conversion rate. The default pick-up game in comparison is set at 15-30 units per army which gives comparable numbers of bases. In other words, if you have armies of 15-30 bases you should be able to play scenarios based on these battles without any problems.

Battle of Werben 1631

Swedes vs Holy Roman Empire/Catholic League

Swedes
16,000 entrenched (16) (8)

Holy Roman Empire
23,000 (23) (12)

First Battle of Breitenfeld 1631

Swedes & Saxons vs Holy Roman Empire/Catholic League

Catholics
21,400 infantry (21) (11)
10,000 cavalry (20) (10)

Swedes
14,842 infantry (15) (7)
8,064 cavalry (16) (8)

Saxons
13,000 infantry (13) (6.5)
5,225 cavalry (10) (5)

Battle of Rain / Battle of the River Lech 1632

Swedes vs Holy Roman Empire/Catholic League

Swedes
40,000 (40) (20)

Holy Roman Empire/Catholic League
25,000 (25) (13)

Battle of Lützen 1632

Swedes vs Holy Roman Empire

Swedes
12,786 infantry (13) (6)
6,210 cavalry (12) (6)
60 cannon (8) (4)

Holy Roman Empire
9,870 infantry (10) (5)
6,900 cavalry (14) (7)
38 cannon (5) (2)
Reinforcements: 2,300 cavalry (5) (2)

Battle of Nördlingen 1634

Holy Roman Empire/Catholic League/Spain vs Swedes/ Heilbronn League

Catholics
23,000 infantry (23) (12)
13,000 cavalry (26) (13)
32 cannon  (4) (2)

Spanish
13,500 infantry (14) (7)
4,500? Cavalry (9) (5)
Reinforcements: 3,000 Catholic cavalry (6) (3)

Protestants
16,300 infantry (16) (8)
9,300 cavalry (19) (9.5)
62 cannon (8) (4)

Battle of Wittstock 1636

Swedes vs Holy Roman Empire & Saxons

Swedes
16,000 (16) (8)

Holy Roman Empire and Saxons
22,000 (22) (11)