Reply to thread

Message

<blockquote data-quote="GlassJaw" data-source="post: 3513777" data-attributes="member: 22103">Ok, I did some calculations.&nbsp; Let me explain the table below.Each column shows the increase in average damage versus the natural roll you need to hit as you add more iterative attacks.&nbsp; The table assumes an average weapon damage of 1 (see conclusions below for more info on this) and is independent of actual to hit and damage bonuses (if uses natural rolls only).The first row of the chart assumes a roll of 2 will hit and the last row assumes a 20 is needed.&nbsp; The damage listed in each column is cumulative.&nbsp; That means if every attack hits on a 2 and you have 3 attacks, your total average damage is 2.850.Crits are not factored into this.&nbsp; That would change some of the numbers slightly (especially for the lower rolls) but not signigicantly enough to invalidate these numbers.The &quot;% incr&quot; column shows the percent increase in total average damage from 1 attack to 4 attacks and the &quot;Delta&quot; column is the actual difference in value from 1 attack to 4 attacks.[CODE]1 Attack&nbsp; &nbsp; 2 Attacks&nbsp; &nbsp; 3 Attacks&nbsp; &nbsp; 4 Attacks&nbsp; &nbsp; % incr&nbsp; &nbsp; DeltaRoll&nbsp; &nbsp; Ave Dmg&nbsp; &nbsp; Roll&nbsp; &nbsp; Ave Dmg&nbsp; &nbsp; Roll&nbsp; &nbsp; Ave Dmg&nbsp; &nbsp; Roll&nbsp; &nbsp; Ave Dmg&nbsp; &nbsp; &nbsp; &nbsp; 2&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 2&nbsp; &nbsp; 3.800&nbsp; &nbsp; 25.000&nbsp; &nbsp; 2.8502&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 3&nbsp; &nbsp; 3.750&nbsp; &nbsp; 25.333&nbsp; &nbsp; 2.8002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 4&nbsp; &nbsp; 3.700&nbsp; &nbsp; 25.676&nbsp; &nbsp; 2.7502&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 5&nbsp; &nbsp; 3.650&nbsp; &nbsp; 26.027&nbsp; &nbsp; 2.7002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 6&nbsp; &nbsp; 3.600&nbsp; &nbsp; 26.389&nbsp; &nbsp; 2.6502&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 2&nbsp; &nbsp; 2.850&nbsp; &nbsp; 7&nbsp; &nbsp; 3.550&nbsp; &nbsp; 26.761&nbsp; &nbsp; 2.6002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 3&nbsp; &nbsp; 2.800&nbsp; &nbsp; 8&nbsp; &nbsp; 3.450&nbsp; &nbsp; 27.536&nbsp; &nbsp; 2.5002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 4&nbsp; &nbsp; 2.750&nbsp; &nbsp; 9&nbsp; &nbsp; 3.350&nbsp; &nbsp; 28.358&nbsp; &nbsp; 2.4002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 5&nbsp; &nbsp; 2.700&nbsp; &nbsp; 10&nbsp; &nbsp; 3.250&nbsp; &nbsp; 29.231&nbsp; &nbsp; 2.3002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 6&nbsp; &nbsp; 2.650&nbsp; &nbsp; 11&nbsp; &nbsp; 3.150&nbsp; &nbsp; 30.159&nbsp; &nbsp; 2.2002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 2&nbsp; &nbsp; 1.900&nbsp; &nbsp; 7&nbsp; &nbsp; 2.600&nbsp; &nbsp; 12&nbsp; &nbsp; 3.050&nbsp; &nbsp; 31.148&nbsp; &nbsp; 2.1002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 3&nbsp; &nbsp; 1.850&nbsp; &nbsp; 8&nbsp; &nbsp; 2.500&nbsp; &nbsp; 13&nbsp; &nbsp; 2.900&nbsp; &nbsp; 32.759&nbsp; &nbsp; 1.9502&nbsp; &nbsp; 0.950&nbsp; &nbsp; 4&nbsp; &nbsp; 1.800&nbsp; &nbsp; 9&nbsp; &nbsp; 2.400&nbsp; &nbsp; 14&nbsp; &nbsp; 2.750&nbsp; &nbsp; 34.545&nbsp; &nbsp; 1.8002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 5&nbsp; &nbsp; 1.750&nbsp; &nbsp; 10&nbsp; &nbsp; 2.300&nbsp; &nbsp; 15&nbsp; &nbsp; 2.600&nbsp; &nbsp; 36.538&nbsp; &nbsp; 1.6502&nbsp; &nbsp; 0.950&nbsp; &nbsp; 6&nbsp; &nbsp; 1.700&nbsp; &nbsp; 11&nbsp; &nbsp; 2.200&nbsp; &nbsp; 16&nbsp; &nbsp; 2.450&nbsp; &nbsp; 38.776&nbsp; &nbsp; 1.5002&nbsp; &nbsp; 0.950&nbsp; &nbsp; 7&nbsp; &nbsp; 1.650&nbsp; &nbsp; 12&nbsp; &nbsp; 2.100&nbsp; &nbsp; 17&nbsp; &nbsp; 2.300&nbsp; &nbsp; 41.304&nbsp; &nbsp; 1.3503&nbsp; &nbsp; 0.900&nbsp; &nbsp; 8&nbsp; &nbsp; 1.550&nbsp; &nbsp; 13&nbsp; &nbsp; 1.950&nbsp; &nbsp; 18&nbsp; &nbsp; 2.100&nbsp; &nbsp; 42.857&nbsp; &nbsp; 1.2004&nbsp; &nbsp; 0.850&nbsp; &nbsp; 9&nbsp; &nbsp; 1.450&nbsp; &nbsp; 14&nbsp; &nbsp; 1.800&nbsp; &nbsp; 19&nbsp; &nbsp; 1.900&nbsp; &nbsp; 44.737&nbsp; &nbsp; 1.0505&nbsp; &nbsp; 0.800&nbsp; &nbsp; 10&nbsp; &nbsp; 1.350&nbsp; &nbsp; 15&nbsp; &nbsp; 1.650&nbsp; &nbsp; 20&nbsp; &nbsp; 1.700&nbsp; &nbsp; 47.059&nbsp; &nbsp; 0.9006&nbsp; &nbsp; 0.750&nbsp; &nbsp; 11&nbsp; &nbsp; 1.250&nbsp; &nbsp; 16&nbsp; &nbsp; 1.500&nbsp; &nbsp; 20&nbsp; &nbsp; 1.550&nbsp; &nbsp; 48.387&nbsp; &nbsp; 0.8007&nbsp; &nbsp; 0.700&nbsp; &nbsp; 12&nbsp; &nbsp; 1.150&nbsp; &nbsp; 17&nbsp; &nbsp; 1.350&nbsp; &nbsp; 20&nbsp; &nbsp; 1.400&nbsp; &nbsp; 50.000&nbsp; &nbsp; 0.7008&nbsp; &nbsp; 0.650&nbsp; &nbsp; 13&nbsp; &nbsp; 1.050&nbsp; &nbsp; 18&nbsp; &nbsp; 1.200&nbsp; &nbsp; 20&nbsp; &nbsp; 1.250&nbsp; &nbsp; 52.000&nbsp; &nbsp; 0.6009&nbsp; &nbsp; 0.600&nbsp; &nbsp; 14&nbsp; &nbsp; 0.950&nbsp; &nbsp; 19&nbsp; &nbsp; 1.050&nbsp; &nbsp; 20&nbsp; &nbsp; 1.100&nbsp; &nbsp; 54.545&nbsp; &nbsp; 0.50010&nbsp; &nbsp; 0.550&nbsp; &nbsp; 15&nbsp; &nbsp; 0.850&nbsp; &nbsp; 20&nbsp; &nbsp; 0.900&nbsp; &nbsp; 20&nbsp; &nbsp; 0.950&nbsp; &nbsp; 57.895&nbsp; &nbsp; 0.40011&nbsp; &nbsp; 0.500&nbsp; &nbsp; 16&nbsp; &nbsp; 0.750&nbsp; &nbsp; 20&nbsp; &nbsp; 0.800&nbsp; &nbsp; 20&nbsp; &nbsp; 0.850&nbsp; &nbsp; 58.824&nbsp; &nbsp; 0.35012&nbsp; &nbsp; 0.450&nbsp; &nbsp; 17&nbsp; &nbsp; 0.650&nbsp; &nbsp; 20&nbsp; &nbsp; 0.700&nbsp; &nbsp; 20&nbsp; &nbsp; 0.750&nbsp; &nbsp; 60.000&nbsp; &nbsp; 0.30013&nbsp; &nbsp; 0.400&nbsp; &nbsp; 18&nbsp; &nbsp; 0.550&nbsp; &nbsp; 20&nbsp; &nbsp; 0.600&nbsp; &nbsp; 20&nbsp; &nbsp; 0.650&nbsp; &nbsp; 61.538&nbsp; &nbsp; 0.25014&nbsp; &nbsp; 0.350&nbsp; &nbsp; 19&nbsp; &nbsp; 0.450&nbsp; &nbsp; 20&nbsp; &nbsp; 0.500&nbsp; &nbsp; 20&nbsp; &nbsp; 0.550&nbsp; &nbsp; 63.636&nbsp; &nbsp; 0.20015&nbsp; &nbsp; 0.300&nbsp; &nbsp; 20&nbsp; &nbsp; 0.350&nbsp; &nbsp; 20&nbsp; &nbsp; 0.400&nbsp; &nbsp; 20&nbsp; &nbsp; 0.450&nbsp; &nbsp; 66.667&nbsp; &nbsp; 0.15016&nbsp; &nbsp; 0.250&nbsp; &nbsp; 20&nbsp; &nbsp; 0.300&nbsp; &nbsp; 20&nbsp; &nbsp; 0.350&nbsp; &nbsp; 20&nbsp; &nbsp; 0.400&nbsp; &nbsp; 62.500&nbsp; &nbsp; 0.15017&nbsp; &nbsp; 0.200&nbsp; &nbsp; 20&nbsp; &nbsp; 0.250&nbsp; &nbsp; 20&nbsp; &nbsp; 0.300&nbsp; &nbsp; 20&nbsp; &nbsp; 0.350&nbsp; &nbsp; 57.143&nbsp; &nbsp; 0.15018&nbsp; &nbsp; 0.150&nbsp; &nbsp; 20&nbsp; &nbsp; 0.200&nbsp; &nbsp; 20&nbsp; &nbsp; 0.250&nbsp; &nbsp; 20&nbsp; &nbsp; 0.300&nbsp; &nbsp; 50.000&nbsp; &nbsp; 0.15019&nbsp; &nbsp; 0.100&nbsp; &nbsp; 20&nbsp; &nbsp; 0.150&nbsp; &nbsp; 20&nbsp; &nbsp; 0.200&nbsp; &nbsp; 20&nbsp; &nbsp; 0.250&nbsp; &nbsp; 40.000&nbsp; &nbsp; 0.15020&nbsp; &nbsp; 0.050&nbsp; &nbsp; 20&nbsp; &nbsp; 0.100&nbsp; &nbsp; 20&nbsp; &nbsp; 0.150&nbsp; &nbsp; 20&nbsp; &nbsp; 0.200&nbsp; &nbsp; 25.000&nbsp; &nbsp; 0.150[/CODE]</blockquote>

[QUOTE="GlassJaw, post: 3513777, member: 22103"] Ok, I did some calculations. Let me explain the table below. Each column shows the increase in average damage versus the natural roll you need to hit as you add more iterative attacks. The table assumes an average weapon damage of 1 (see conclusions below for more info on this) and is independent of actual to hit and damage bonuses (if uses natural rolls only). The first row of the chart assumes a roll of 2 will hit and the last row assumes a 20 is needed. The damage listed in each column is cumulative. That means if every attack hits on a 2 and you have 3 attacks, your total average damage is 2.850. Crits are not factored into this. That would change some of the numbers slightly (especially for the lower rolls) but not signigicantly enough to invalidate these numbers. The "% incr" column shows the percent increase in total average damage from 1 attack to 4 attacks and the "Delta" column is the actual difference in value from 1 attack to 4 attacks. [CODE] 1 Attack 2 Attacks 3 Attacks 4 Attacks % incr Delta Roll Ave Dmg Roll Ave Dmg Roll Ave Dmg Roll Ave Dmg 2 0.950 2 1.900 2 2.850 2 3.800 25.000 2.850 2 0.950 2 1.900 2 2.850 3 3.750 25.333 2.800 2 0.950 2 1.900 2 2.850 4 3.700 25.676 2.750 2 0.950 2 1.900 2 2.850 5 3.650 26.027 2.700 2 0.950 2 1.900 2 2.850 6 3.600 26.389 2.650 2 0.950 2 1.900 2 2.850 7 3.550 26.761 2.600 2 0.950 2 1.900 3 2.800 8 3.450 27.536 2.500 2 0.950 2 1.900 4 2.750 9 3.350 28.358 2.400 2 0.950 2 1.900 5 2.700 10 3.250 29.231 2.300 2 0.950 2 1.900 6 2.650 11 3.150 30.159 2.200 2 0.950 2 1.900 7 2.600 12 3.050 31.148 2.100 2 0.950 3 1.850 8 2.500 13 2.900 32.759 1.950 2 0.950 4 1.800 9 2.400 14 2.750 34.545 1.800 2 0.950 5 1.750 10 2.300 15 2.600 36.538 1.650 2 0.950 6 1.700 11 2.200 16 2.450 38.776 1.500 2 0.950 7 1.650 12 2.100 17 2.300 41.304 1.350 3 0.900 8 1.550 13 1.950 18 2.100 42.857 1.200 4 0.850 9 1.450 14 1.800 19 1.900 44.737 1.050 5 0.800 10 1.350 15 1.650 20 1.700 47.059 0.900 6 0.750 11 1.250 16 1.500 20 1.550 48.387 0.800 7 0.700 12 1.150 17 1.350 20 1.400 50.000 0.700 8 0.650 13 1.050 18 1.200 20 1.250 52.000 0.600 9 0.600 14 0.950 19 1.050 20 1.100 54.545 0.500 10 0.550 15 0.850 20 0.900 20 0.950 57.895 0.400 11 0.500 16 0.750 20 0.800 20 0.850 58.824 0.350 12 0.450 17 0.650 20 0.700 20 0.750 60.000 0.300 13 0.400 18 0.550 20 0.600 20 0.650 61.538 0.250 14 0.350 19 0.450 20 0.500 20 0.550 63.636 0.200 15 0.300 20 0.350 20 0.400 20 0.450 66.667 0.150 16 0.250 20 0.300 20 0.350 20 0.400 62.500 0.150 17 0.200 20 0.250 20 0.300 20 0.350 57.143 0.150 18 0.150 20 0.200 20 0.250 20 0.300 50.000 0.150 19 0.100 20 0.150 20 0.200 20 0.250 40.000 0.150 20 0.050 20 0.100 20 0.150 20 0.200 25.000 0.150 [/CODE] [/QUOTE]

Verification