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<blockquote data-quote="thorian" data-source="post: 1967875" data-attributes="member: 4727">I spent a few minutes and tried to derive an elegant equation which explains how to generate the cost of a metamagic rod.&nbsp; I came up with a simple solution, except there is one rod which doesn’t match up (the lesser quicken rod).Here is the equation:((L*2)-1)*(M^2)*300gpL = the level adjustment of the metamagic feat which the rod duplicatesM = the maximum level of spell which the rod is able to effect[code][b][u]type&nbsp; &nbsp;&nbsp; M&nbsp;&nbsp; L&nbsp; &nbsp;&nbsp; cost&nbsp; &nbsp;&nbsp; Calc[/u][/b]lesser&nbsp;&nbsp; 3&nbsp;&nbsp; 1&nbsp; &nbsp;&nbsp; 3000&nbsp; &nbsp;&nbsp; 2700regular&nbsp; 6&nbsp;&nbsp; 1&nbsp; &nbsp; 11000&nbsp; &nbsp; 10800greater&nbsp; 9&nbsp;&nbsp; 1&nbsp; &nbsp; 24500&nbsp; &nbsp; 24300lesser&nbsp;&nbsp; 3&nbsp;&nbsp; 2&nbsp; &nbsp;&nbsp; 9000&nbsp; &nbsp;&nbsp; 8100regular&nbsp; 6&nbsp;&nbsp; 2&nbsp; &nbsp; 32500&nbsp; &nbsp; 32400greater&nbsp; 9&nbsp;&nbsp; 2&nbsp; &nbsp; 73000&nbsp; &nbsp; 72900lesser&nbsp;&nbsp; 3&nbsp;&nbsp; 3&nbsp; &nbsp; 14000&nbsp; &nbsp; 13500regular&nbsp; 6&nbsp;&nbsp; 3&nbsp; &nbsp; 54000&nbsp; &nbsp; 54000greater&nbsp; 9&nbsp;&nbsp; 3&nbsp;&nbsp; 121500&nbsp;&nbsp; 121500lesser&nbsp;&nbsp; 3&nbsp;&nbsp; 4&nbsp; &nbsp; 35000&nbsp; &nbsp; 18900 (why?)regular&nbsp; 6&nbsp;&nbsp; 4&nbsp; &nbsp; 75500&nbsp; &nbsp; 75600greater&nbsp; 9&nbsp;&nbsp; 4&nbsp;&nbsp; 170000&nbsp;&nbsp; 170100[/code]If anyone can derive a better equation, that would be great.&nbsp; I’d like to see if someone can generate an exact formula.</blockquote>

[QUOTE="thorian, post: 1967875, member: 4727"] I spent a few minutes and tried to derive an elegant equation which explains how to generate the cost of a metamagic rod. I came up with a simple solution, except there is one rod which doesn’t match up (the lesser quicken rod). Here is the equation: ((L*2)-1)*(M^2)*300gp L = the level adjustment of the metamagic feat which the rod duplicates M = the maximum level of spell which the rod is able to effect [code] [b][u]type M L cost Calc[/u][/b] lesser 3 1 3000 2700 regular 6 1 11000 10800 greater 9 1 24500 24300 lesser 3 2 9000 8100 regular 6 2 32500 32400 greater 9 2 73000 72900 lesser 3 3 14000 13500 regular 6 3 54000 54000 greater 9 3 121500 121500 lesser 3 4 35000 18900 (why?) regular 6 4 75500 75600 greater 9 4 170000 170100 [/code] If anyone can derive a better equation, that would be great. I’d like to see if someone can generate an exact formula. [/QUOTE]

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