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<blockquote data-quote="Zimbel16" data-source="post: 3034640" data-attributes="member: 41600">Non-linear Power Point costsI have an idea sprung from Thanee's posts on Psion power vs. Core Spellcaster power (See post # 176 ). To summarize, it's that point-based spellcasting gives more of the top-level powers per day than normal spellcasting.My question is: what if the power point costs were non-linear in comparison to the effect? Would this not solve the problem?Let's seperate out PP into two categories: The amount spent &quot;Spent PP&quot; And the amount that the power's effect is at &quot;Effective PP&quot;. Caps (for spending PP) are based on the Spent PP alogrithm (not merely Manifester Level) Obviously, in the XPH, these numbers are always the same. However, they need not be:Here's a first pass at a formula, let's see what you think:Spent PP = Floor(Effective PP^Beta)Where Beta is 1.1, we get:Effective&nbsp; &nbsp; Spent1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 12&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 23&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 34&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 45&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 56&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 77&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 88&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 99&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1110&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; 12 11&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1312&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1513&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1614&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1815&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1916&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2117&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2218&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2419&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2520&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 26So above 5 PP, the Manifester is spending &quot;extra&quot; power points that get &quot;wasted&quot; in the creation of the effect. What effect would this have on Thanee's analysis?5th PP total 25+10=3510th PP total 88+30=11815th PP total 195+52=247 (-1 PP per manifestation)20th PP total 343+100=443 (-1 PP per manifestation)A 5th level psion can manifest roughly 7 fully augmented powers per day.A 10th level psion can manifest roughly <s>12</s> 10 fully augmented powers per day.A 15th level psion can manifest roughly <s>18</s> 14 fully augmented powers per day.A 20th level psion can manifest roughly <s>23</s> 18 fully augmented powers per day.So somewhat better, but probably not as good as we'd like - from this measure, a LV 20 Psion is still better than a core spellcaster.Where Beta is 1.3, we get:Effective&nbsp; &nbsp; Spent1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 12&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 23&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 44&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 65&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 86&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 107&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 128&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 149&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1710&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; 19 11&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2212&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2513&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2814&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3015&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3316&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3617&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3918&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4219&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4520&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 49So above 2 PP, the Manifester is spending &quot;extra&quot; power points that get &quot;wasted&quot; in the creation of the effect. What effect would this have on Thanee's analysis?5th PP total 25+10=3510th PP total 88+30=11815th PP total 195+52=247 (-1 PP per manifestation)20th PP total 343+100=443 (-1 PP per manifestation)A 5th level psion can manifest roughly <s>7</s> 4 fully augmented powers per day.A 10th level psion can manifest roughly <s>12</s> 6 fully augmented powers per day.A 15th level psion can manifest roughly <s>18</s> 7 fully augmented powers per day.A 20th level psion can manifest roughly <s>23</s> 9 fully augmented powers per day.This is far closer to a &quot;core&quot; spellcaster (but the Core spellcaster will have far more low-level spells). Since this would be all their power/day, perhaps it should be upped a bit, to say 1.2?Where Beta is 1.2, we get:Effective&nbsp; &nbsp; Spent1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 12&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 23&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 34&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 55&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 66&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 87&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 108&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 129&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1310&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; 15 11&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1712&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1913&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2114&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2315&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2516&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2717&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2918&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3219&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3420&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 36So above 3 PP, the Manifester is spending &quot;extra&quot; power points that get &quot;wasted&quot; in the creation of the effect. What effect would this have on Thanee's analysis?5th PP total 25+10=3510th PP total 88+30=11815th PP total 195+52=247 (-1 PP per manifestation)20th PP total 343+100=443 (-1 PP per manifestation)A 5th level psion can manifest roughly <s>7</s> 6 fully augmented powers per day.A 10th level psion can manifest roughly <s>12</s> 8 fully augmented powers per day.A 15th level psion can manifest roughly <s>18</s> 10 fully augmented powers per day.A 20th level psion can manifest roughly <s>23</s> 13 fully augmented powers per day.I like these numbers. I also like the idea that a LV 9 power costs more than twice the amount that a LV 5 power does.</blockquote>

[QUOTE="Zimbel16, post: 3034640, member: 41600"] [b]Non-linear Power Point costs[/b] I have an idea sprung from Thanee's posts on Psion power vs. Core Spellcaster power (See post # 176 ). To summarize, it's that point-based spellcasting gives more of the top-level powers per day than normal spellcasting. My question is: what if the power point costs were non-linear in comparison to the effect? Would this not solve the problem? Let's seperate out PP into two categories: The amount spent "Spent PP" And the amount that the power's effect is at "Effective PP". Caps (for spending PP) are based on the Spent PP alogrithm (not merely Manifester Level) Obviously, in the XPH, these numbers are always the same. However, they need not be: Here's a first pass at a formula, let's see what you think: Spent PP = Floor(Effective PP^Beta) Where Beta is 1.1, we get: Effective Spent 1 1 2 2 3 3 4 4 5 5 6 7 7 8 8 9 9 11 10 12 11 13 12 15 13 16 14 18 15 19 16 21 17 22 18 24 19 25 20 26 So above 5 PP, the Manifester is spending "extra" power points that get "wasted" in the creation of the effect. What effect would this have on Thanee's analysis? 5th PP total 25+10=35 10th PP total 88+30=118 15th PP total 195+52=247 (-1 PP per manifestation) 20th PP total 343+100=443 (-1 PP per manifestation) A 5th level psion can manifest roughly 7 fully augmented powers per day. A 10th level psion can manifest roughly [S]12[/S] 10 fully augmented powers per day. A 15th level psion can manifest roughly [S]18[/S] 14 fully augmented powers per day. A 20th level psion can manifest roughly [S]23[/S] 18 fully augmented powers per day. So somewhat better, but probably not as good as we'd like - from this measure, a LV 20 Psion is still better than a core spellcaster. Where Beta is 1.3, we get: Effective Spent 1 1 2 2 3 4 4 6 5 8 6 10 7 12 8 14 9 17 10 19 11 22 12 25 13 28 14 30 15 33 16 36 17 39 18 42 19 45 20 49 So above 2 PP, the Manifester is spending "extra" power points that get "wasted" in the creation of the effect. What effect would this have on Thanee's analysis? 5th PP total 25+10=35 10th PP total 88+30=118 15th PP total 195+52=247 (-1 PP per manifestation) 20th PP total 343+100=443 (-1 PP per manifestation) A 5th level psion can manifest roughly [S]7[/S] 4 fully augmented powers per day. A 10th level psion can manifest roughly [S]12[/S] 6 fully augmented powers per day. A 15th level psion can manifest roughly [S]18[/S] 7 fully augmented powers per day. A 20th level psion can manifest roughly [S]23[/S] 9 fully augmented powers per day. This is far closer to a "core" spellcaster (but the Core spellcaster will have far more low-level spells). Since this would be all their power/day, perhaps it should be upped a bit, to say 1.2? Where Beta is 1.2, we get: Effective Spent 1 1 2 2 3 3 4 5 5 6 6 8 7 10 8 12 9 13 10 15 11 17 12 19 13 21 14 23 15 25 16 27 17 29 18 32 19 34 20 36 So above 3 PP, the Manifester is spending "extra" power points that get "wasted" in the creation of the effect. What effect would this have on Thanee's analysis? 5th PP total 25+10=35 10th PP total 88+30=118 15th PP total 195+52=247 (-1 PP per manifestation) 20th PP total 343+100=443 (-1 PP per manifestation) A 5th level psion can manifest roughly [S]7[/S] 6 fully augmented powers per day. A 10th level psion can manifest roughly [S]12[/S] 8 fully augmented powers per day. A 15th level psion can manifest roughly [S]18[/S] 10 fully augmented powers per day. A 20th level psion can manifest roughly [S]23[/S] 13 fully augmented powers per day. I like these numbers. I also like the idea that a LV 9 power costs more than twice the amount that a LV 5 power does. [/QUOTE]

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