how is unit's Battle Rating calculated?

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Ahskar
Patreon Supporter
Joined: 2013-06-22 16:40
how is unit's Battle Rating calculated?

Hi,

In the D@W there is the formula:
(Number of Creatures) / (2 x # of Infantry per Regular Unit)
x (Creature’s HD) x (Creature’s HD + 1) x (1 + Creature’s #
of Special Abilities)

I tried to calculate the BR for some units which are indicated in the Battle rating table, but my results doesn't match the table values. Some examples:

Goblin HD=1-1= 0.5? and 120 goblins per unit:

120/240 x 0.5 x 1.5 x 1 = 0.375

Is this value rounded to 0.5? If it is true, how the goblin bowman are calculated?
If we consider their bows as special ability:

120/240 x 0.5 x 1.5 x 2 = 0.75

But in the table the value indicated is 1.5

Are the goblins in groups of 240 per unit?

Hobgoblin HD=1+1= 1.5? 120 per unit and 1 special hability (due they are heavy infantry)

120/240 x 1.5 x 2.5 x 2 = 3.75

Elf (light infantry): HD = 1+1 = 1.5?

120/240 x 1.5 x 2.5 x 1 = 1.875

What am I doing wrong?

Alex
The Autarch
Joined: 2011-06-30 18:10

What version of D@W are you referencing? The latest version states the following:
Battle ratings calculated using this formula will not line up perfectly with the BRs presented in the Exotic Creatures Roster. The battle ratings in the Roster were calculated by running the creatures’ Domains at War: Battles characteristics through a formula that weighed formation, cleave factor, and other factors. When using the formula listed here, be sure to “benchmark” the outcomes from the formula against similar creatures found in the Exotic Creatures Roster. You can also check out D@W: Battles rulebook for the full details.

Then in D@W Battles, the rules for calculating BR are noted:

If you intend to use your D@W: Battles units in a campaign, it can be helpful to know the units’ battle ratings (BR). In D@W: Campaigns we offered a simplified formula based just on a creature’s AC, HD, and special abilities. Here we share a much more robust formula. Calculating BRs using this formula is not a process intended to be undertaken during play, and is best done using an appropriately-programmed Excel spreadsheet. (In the future, if the popularity of D@W merits, Autarch may release an online tool to assist in calculating unit characteristics and battle ratings.)

To calculate BR, you need to know the following for the unit:
• Armor Class
• Unit Hit Points
• Movement Rate - Walking and Charging
• Formation Type
• Number of Melee Attacks when Charging
• Number of Missile Attacks
• Missile Range
• Unit Morale

With that information in hand, the formula for calculating a unit’s battle rating is:

BR = (Unit AC) x (uhp/8) x (Morale Modifier) x (Speed Modifier) x (Formation Modifier) x (Combat Modifier) / 6

The modifiers are all derived from the unit’s D@W: Battles characteristics, as noted below.

Morale Modifier: Add 7 to Unit Morale, and divide the sum by 7. Take the square root. E.g. [(Morale+7)/7]1/2

Speed Modifier: For FM, IM, LM, or FLY units, speed modifier is equal to (Charging Movement / 9). For other units, speed modifier is equal to (Charging Movement / 7.5)0.33.

Formation Modifier: Use the value listed below the appropriate column on the table below.

FF FLY FM IF IM LM LM
1.15 2.0 1 0.675 0.62 1 1.3

Combat Modifier: Combat modifier is a combination of the unit’s Melee and Missile Values. Melee Value is simply equal to the maximum damage the unit can deal during a charge, including any bonus attacks.

Missile Value is more complex. For LF, LM, and FLY units, Missile Value is:
(number of missile attacks) x (walking movement + missile range) / 2

For other types of units, Missile Value is:
(number of missile attacks) x [(walking movement/3) + missile range] / 2

Units equipped with arbalests and crossbows calculate Missile Value as if they have a walking movement of 0. Units that carry just one spear and no other missile weapons have a Missile Value of 0.

Once Missile Value and Melee Value are known, Combat Modifier can be calculated.
• If Melee Value equals or exceeds Missile Value, Combat Modifier is (Melee Value + 0.2 x Missile Value).
• If Missile Value exceeds Melee Value, Combat Modifier is (Missile Value x 0.05 x Melee Value).

Once you have calculated all of the modifiers, enter the values into the formula. Round the final total to the nearest 0.5. If the unit consists of guard or hunter creatures rather than sentient troops, divide the BR by ½.

EXAMPLE: Let’s calculate the BR of a unit of 120 Heavy Infantry (AC 6, 6 uhp, Movement Rate 1/2/3, Formation FF, 2 Spear & Shield 11+ or 2 Thrown Spear 11+ with Range 2, ML 0). The formula is (Unit AC) x (uhp/8) x (Morale Modifier) x (Speed Modifier) x (Formation Modifier) x (Combat Modifier) / 6. We calculate:
• Armor Class is 6.
• Uhp/8 is (6/8), or 0.75.
• Morale Modifier is [(0+7)/7]1/2, or 1.
• Speed Modifier is (3 / 7.5)0.33, or 0.74.
• Formation Modifier is 1.15.
• Melee Value is equal to the maximum damage the unit can deal in a charge. For this spear-equipped heavy infantry unit with 2 attacks, this is 3, reflecting two successful attacks plus one bonus point from charging with a spear.
• As a FF unit, Missile Value is equal to (number of missile attacks) x [(walking movement/3) + missile range] / 2. For this unit, that is (2) x [1/3 + 2] /2, or 2.33. However, since the Heavy Infantry just carry spears and no other missile weapons, Missile Value is set to 0.
• Since Melee Value of 3 is greater than Missile Value of 0, Combat Modifier is [3 + (0.2 x 0)], or 3.
• Therefore the unit’s BR is (6) * (0.75) * (0.74) * (1.15) * 3) / 6 = 1.91, which rounds to 2.

Ahskar
Patreon Supporter
Joined: 2013-06-22 16:40

I'm Afraid that I have the free preview version (20130307) and there are no indications about exotic creatures roster. But thank you very much for your detailed explanation.

I'm too late for join to the kickstarter, but i'll buy it when it will be released (maybe at that time my players have reached the enough level for command armies)

Jard
Patreon SupporterDomains At War ContributorSinister Stone of Sakkara ContributorLairs And Encounters ContributorBarbarian Conquerors of Kanahu ContributorACKS Heroic Fantasy Handbook Contributor
Joined: 2012-07-11 23:23

Is there any hope for someone like me, who is mostly uninterested in D@W:Battles, to calculate BR for new units? or do you mostly have to work with D@W:Battles if you want BRs for new units?

Thomas Weigel
Thomas Weigel's picture
Joined: 2012-06-20 11:57

Just from my personal messing around with it, the BR equation in DAW Campaigns is perfectly workable for campaign purposes, and it ensures that DAW Campaigns can stand alone.

Jard
Patreon SupporterDomains At War ContributorSinister Stone of Sakkara ContributorLairs And Encounters ContributorBarbarian Conquerors of Kanahu ContributorACKS Heroic Fantasy Handbook Contributor
Joined: 2012-07-11 23:23

good to hear. Of course my campaign is probably a long way from using either kind of D@W, but i am personally more interested in getting the battles over quickly in order to move on to the next one and stay focused on the domains themselves (but with some meaningful mechanics for them changing hands by force and what-have-you)

Alex
The Autarch
Joined: 2011-06-30 18:10

I alternate between the two systems in my own games and it's all pretty seamless.

EHamilton
Dwimmermount BackerDomains At War BackerSinister Stone of Sakkara BackerLairs And Encounters BackerBarbarian Conquerors of Kanahu BackerACKS Heroic Fantasy Handbook Backer
Joined: 2012-04-27 16:03

I'm trying to work out the per-creature battle rating formula by comparing it to some of the entries in the Campaigns table for exotics. Some of the values in that table are confusing to me, to the point where I wonder if they might be incorrect.

For example, a T-Rex is currently listed at 0.067, and a purple worm at 0.069. You'd need something like 120 of each just to make a unit with the same strength as a cataphract company! These seem impossibly low, just based on hit dice alone. Am I doing something wrong, or misunderstanding what these values mean?

Alex
The Autarch
Joined: 2011-06-30 18:10

Hey there!
The BRs include factors that represent whether the creature is formed, loose, or irregular; whether it is of animal intelligence, and therefore susceptible to certain spells and effects; and whether it has unreliable morale.

The Purple Worm is calculated correctly. It's not a very good unit on the battlefield. While it has high hit dice, it is extremely slow, occupies a lot of room, has no missile attacks, and so on.

The T-Rex BR is wrong, however. I just re-calculated the formula and its actual BR should be 0.247.

You can compare a unit of the two creatures below:

1 Purple Worm: Move 1/2/3 IM, AC 3, UHD 15, UHP 1, ML +2 (U), #AT 1 bite (swallow whole) 0+ or 1 tail sting (poison) 0+

5 Tyrannosaurus Rex: Move 2/4/6 IM, AC 6, UHD 20, UHP 7, ML +3 (U), #AT 6 bite -3+