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How big is my katana?
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<blockquote data-quote="Jackinthegreen" data-source="post: 5996536" data-attributes="member: 6678119"><p>I've worked on an equation to calculate the average damage one can expect from a weapon factoring in 5% automatic fail due to Natural 1 as well as 5% crit confirm fail from the same source. It can also factor in non-auto-fail hit chance as well as crit chance and the crit multiplier. I've got it in my own Excel spreadsheet at the moment, but I'm pretty sure I can make an OpenOffice version of anyone wants to look at it and fiddle. I'll probably make a new thread here just to go over it.</p><p></p><p>Keep in mind all of these calculations assume 95% hit chance and 95% crit confirm.</p><p></p><p>A 1d6 katana with 18-20/x3 crit would have a base of 4.305 damage assuming 95% hit chance and 95% crit confirm. A Great Scimitar being 1d8 18-20/x2 has a base of 4.89375, so a difference of about .6 without extra damage.</p><p></p><p>Going up to +5 damage, the katana deals 10.455 average damage while the great scimitar is at 10.33125. At +4 damage the katana is behind with 9.225 versus the great scimitar's 9.24375. +5 is absolutely trivial to get, so that katana really isn't balanced against the great scimitar.</p><p></p><p>Changing the katana to 19-20/x3 lowers its base to 3.98125. At +5 damage it does 9.66875 compared to the great scimitar's 10.33125, which is behind. At +10, the katana is at 15.35625 with the scimitar at 15.76875.</p><p></p><p>It's not until we get to between +18 (katana's 24.45625 and scimitar's 24.46875) and +19 (katana's 25.59375 and scimitar's 25.55625) that the katana is better.</p><p></p><p>For reference, I'll compare a regular scimitar to a longsword. The scimitar has a base of 3.80625 versus the longsword's base of 4.69125. The scimitar doesn't come out ahead of the longsword until +20 damage (25.55625 and 25.54125 respectively).</p><p></p><p>Essentially, if damage is the only consideration, making the katana a 1d6 19-20/x3 weapon would roughly maintain the paradigm against a great scimitar that a scimitar has against a longsword.</p></blockquote><p></p>
[QUOTE="Jackinthegreen, post: 5996536, member: 6678119"] I've worked on an equation to calculate the average damage one can expect from a weapon factoring in 5% automatic fail due to Natural 1 as well as 5% crit confirm fail from the same source. It can also factor in non-auto-fail hit chance as well as crit chance and the crit multiplier. I've got it in my own Excel spreadsheet at the moment, but I'm pretty sure I can make an OpenOffice version of anyone wants to look at it and fiddle. I'll probably make a new thread here just to go over it. Keep in mind all of these calculations assume 95% hit chance and 95% crit confirm. A 1d6 katana with 18-20/x3 crit would have a base of 4.305 damage assuming 95% hit chance and 95% crit confirm. A Great Scimitar being 1d8 18-20/x2 has a base of 4.89375, so a difference of about .6 without extra damage. Going up to +5 damage, the katana deals 10.455 average damage while the great scimitar is at 10.33125. At +4 damage the katana is behind with 9.225 versus the great scimitar's 9.24375. +5 is absolutely trivial to get, so that katana really isn't balanced against the great scimitar. Changing the katana to 19-20/x3 lowers its base to 3.98125. At +5 damage it does 9.66875 compared to the great scimitar's 10.33125, which is behind. At +10, the katana is at 15.35625 with the scimitar at 15.76875. It's not until we get to between +18 (katana's 24.45625 and scimitar's 24.46875) and +19 (katana's 25.59375 and scimitar's 25.55625) that the katana is better. For reference, I'll compare a regular scimitar to a longsword. The scimitar has a base of 3.80625 versus the longsword's base of 4.69125. The scimitar doesn't come out ahead of the longsword until +20 damage (25.55625 and 25.54125 respectively). Essentially, if damage is the only consideration, making the katana a 1d6 19-20/x3 weapon would roughly maintain the paradigm against a great scimitar that a scimitar has against a longsword. [/QUOTE]
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