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General Tabletop Discussion
*Dungeons & Dragons
Downtime Research Analyzed (and some thoughts on spell research)
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<blockquote data-quote="BlivetWidget" data-source="post: 7516447" data-attributes="member: 6912801"><p>Running some numbers here for the downtime activity Research from XGE 132. I wanted to come up with some rules for researching spells, and this seemed like the best option of all the downtime activities.</p><p></p><p>General summary of the research rules:</p><ul> <li data-xf-list-type="ul">Time: 1 workweek</li> <li data-xf-list-type="ul">Intelligence Check (will generally be +3 to +5 for a Wizard), learning 0 to 3 pieces of lore depending on the result.</li> <li data-xf-list-type="ul">Advantage if access to well-stocked library or knowledgeable sage</li> <li data-xf-list-type="ul">Bonus is +0 to +6 depending on gold spent (note I suspect a typo in the rules. The way the cost per bonus is worded implies that the baseline cost is 100 gp, but it's written as 50 gp, making me question if the typo is in the baseline cost or in the cost per bonus).</li> </ul><p></p><p>So how much does spending money to aid your research really help you? Turns out, not that much:</p><p></p><p></p><p></p><p>[CODE][TABLE="width: 1552"]</p><p>[TR]</p><p>[TD]Int Bonus[/TD]</p><p>[TD="colspan: 7, align: center"]3[HR][/HR][/TD]</p><p>[TD="colspan: 7, align: center"]4[HR][/HR][/TD]</p><p>[TD="colspan: 7, align: center"]5[HR][/HR][/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Gold spent[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Gold Bonus[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Total Bonus[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]10[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]10[/TD]</p><p>[TD="align: right"]11[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: No effect (C<=5)[/TD]</p><p>[TD="align: right"]10%[/TD]</p><p>[TD="align: right"]5%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]5%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn one piece of lore (6<=C<=10)[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]20%[/TD]</p><p>[TD="align: right"]15%[/TD]</p><p>[TD="align: right"]10%[/TD]</p><p>[TD="align: right"]5%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]20%[/TD]</p><p>[TD="align: right"]15%[/TD]</p><p>[TD="align: right"]10%[/TD]</p><p>[TD="align: right"]5%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]20%[/TD]</p><p>[TD="align: right"]15%[/TD]</p><p>[TD="align: right"]10%[/TD]</p><p>[TD="align: right"]5%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[TD="align: right"]0%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn two pieces of lore (11<=C<=20)[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]45%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn three pieces of lore (21 <= C)[/TD]</p><p>[TD="align: right"]15%[/TD]</p><p>[TD="align: right"]20%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]30%[/TD]</p><p>[TD="align: right"]35%[/TD]</p><p>[TD="align: right"]40%[/TD]</p><p>[TD="align: right"]45%[/TD]</p><p>[TD="align: right"]20%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]30%[/TD]</p><p>[TD="align: right"]35%[/TD]</p><p>[TD="align: right"]40%[/TD]</p><p>[TD="align: right"]45%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]25%[/TD]</p><p>[TD="align: right"]30%[/TD]</p><p>[TD="align: right"]35%[/TD]</p><p>[TD="align: right"]40%[/TD]</p><p>[TD="align: right"]45%[/TD]</p><p>[TD="align: right"]50%[/TD]</p><p>[TD="align: right"]55%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Sanity Check: total odds[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Average Pieces Learned:[/TD]</p><p>[TD="align: right"]1.7[/TD]</p><p>[TD="align: right"]1.85[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]2.1[/TD]</p><p>[TD="align: right"]2.2[/TD]</p><p>[TD="align: right"]2.3[/TD]</p><p>[TD="align: right"]2.4[/TD]</p><p>[TD="align: right"]1.85[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]2.1[/TD]</p><p>[TD="align: right"]2.2[/TD]</p><p>[TD="align: right"]2.3[/TD]</p><p>[TD="align: right"]2.4[/TD]</p><p>[TD="align: right"]2.5[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]2.1[/TD]</p><p>[TD="align: right"]2.2[/TD]</p><p>[TD="align: right"]2.3[/TD]</p><p>[TD="align: right"]2.4[/TD]</p><p>[TD="align: right"]2.5[/TD]</p><p>[TD="align: right"]2.55[/TD]</p><p>[/TR]</p><p>[/TABLE]</p><p>[/CODE]</p><p></p><p>How about advantage?</p><p></p><p>[CODE][TABLE="width: 1552"]</p><p>[TR]</p><p>[TD][/TD]</p><p>[TD="colspan: 21, align: center"]Advantage[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Int Bonus[/TD]</p><p>[TD="colspan: 7, align: center"]3[HR][/HR]</p><p>[/TD]</p><p>[TD="colspan: 7, align: center"]4[HR][/HR]</p><p>[/TD]</p><p>[TD="colspan: 7, align: center"]5[HR][/HR]</p><p>[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Gold spent[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[TD="align: right"]50[/TD]</p><p>[TD="align: right"]200[/TD]</p><p>[TD="align: right"]300[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]500[/TD]</p><p>[TD="align: right"]600[/TD]</p><p>[TD="align: right"]700[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Gold Bonus[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Total Bonus[/TD]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]10[/TD]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]10[/TD]</p><p>[TD="align: right"]11[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: No effect (C<=5)[/TD]</p><p>[TD="align: right"]1.00%[/TD]</p><p>[TD="align: right"]0.25%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.25%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn one piece of lore (6<=C<=10)[/TD]</p><p>[TD="align: right"]11.25%[/TD]</p><p>[TD="align: right"]8.75%[/TD]</p><p>[TD="align: right"]6.25%[/TD]</p><p>[TD="align: right"]4.00%[/TD]</p><p>[TD="align: right"]2.25%[/TD]</p><p>[TD="align: right"]1.00%[/TD]</p><p>[TD="align: right"]0.25%[/TD]</p><p>[TD="align: right"]8.75%[/TD]</p><p>[TD="align: right"]6.25%[/TD]</p><p>[TD="align: right"]4.00%[/TD]</p><p>[TD="align: right"]2.25%[/TD]</p><p>[TD="align: right"]1.00%[/TD]</p><p>[TD="align: right"]0.25%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]6.25%[/TD]</p><p>[TD="align: right"]4.00%[/TD]</p><p>[TD="align: right"]2.25%[/TD]</p><p>[TD="align: right"]1.00%[/TD]</p><p>[TD="align: right"]0.25%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[TD="align: right"]0.00%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn two pieces of lore (11<=C<=20)[/TD]</p><p>[TD="align: right"]60.00%[/TD]</p><p>[TD="align: right"]55.00%[/TD]</p><p>[TD="align: right"]50.00%[/TD]</p><p>[TD="align: right"]45.00%[/TD]</p><p>[TD="align: right"]40.00%[/TD]</p><p>[TD="align: right"]35.00%[/TD]</p><p>[TD="align: right"]30.00%[/TD]</p><p>[TD="align: right"]55.00%[/TD]</p><p>[TD="align: right"]50.00%[/TD]</p><p>[TD="align: right"]45.00%[/TD]</p><p>[TD="align: right"]40.00%[/TD]</p><p>[TD="align: right"]35.00%[/TD]</p><p>[TD="align: right"]30.00%[/TD]</p><p>[TD="align: right"]25.00%[/TD]</p><p>[TD="align: right"]50.00%[/TD]</p><p>[TD="align: right"]45.00%[/TD]</p><p>[TD="align: right"]40.00%[/TD]</p><p>[TD="align: right"]35.00%[/TD]</p><p>[TD="align: right"]30.00%[/TD]</p><p>[TD="align: right"]25.00%[/TD]</p><p>[TD="align: right"]20.25%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Odds: You learn three pieces of lore (21 <= C)[/TD]</p><p>[TD="align: right"]27.75%[/TD]</p><p>[TD="align: right"]36.00%[/TD]</p><p>[TD="align: right"]43.75%[/TD]</p><p>[TD="align: right"]51.00%[/TD]</p><p>[TD="align: right"]57.75%[/TD]</p><p>[TD="align: right"]64.00%[/TD]</p><p>[TD="align: right"]69.75%[/TD]</p><p>[TD="align: right"]36.00%[/TD]</p><p>[TD="align: right"]43.75%[/TD]</p><p>[TD="align: right"]51.00%[/TD]</p><p>[TD="align: right"]57.75%[/TD]</p><p>[TD="align: right"]64.00%[/TD]</p><p>[TD="align: right"]69.75%[/TD]</p><p>[TD="align: right"]75.00%[/TD]</p><p>[TD="align: right"]43.75%[/TD]</p><p>[TD="align: right"]51.00%[/TD]</p><p>[TD="align: right"]57.75%[/TD]</p><p>[TD="align: right"]64.00%[/TD]</p><p>[TD="align: right"]69.75%[/TD]</p><p>[TD="align: right"]75.00%[/TD]</p><p>[TD="align: right"]79.75%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Sanity Check: total odds[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[TD="align: right"]100.00%[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Average Pieces Learned:[/TD]</p><p>[TD="align: right"]2.145[/TD]</p><p>[TD="align: right"]2.2675[/TD]</p><p>[TD="align: right"]2.375[/TD]</p><p>[TD="align: right"]2.47[/TD]</p><p>[TD="align: right"]2.555[/TD]</p><p>[TD="align: right"]2.63[/TD]</p><p>[TD="align: right"]2.695[/TD]</p><p>[TD="align: right"]2.2675[/TD]</p><p>[TD="align: right"]2.375[/TD]</p><p>[TD="align: right"]2.47[/TD]</p><p>[TD="align: right"]2.555[/TD]</p><p>[TD="align: right"]2.63[/TD]</p><p>[TD="align: right"]2.695[/TD]</p><p>[TD="align: right"]2.75[/TD]</p><p>[TD="align: right"]2.375[/TD]</p><p>[TD="align: right"]2.47[/TD]</p><p>[TD="align: right"]2.555[/TD]</p><p>[TD="align: right"]2.63[/TD]</p><p>[TD="align: right"]2.695[/TD]</p><p>[TD="align: right"]2.75[/TD]</p><p>[TD="align: right"]2.7975[/TD]</p><p>[/TR]</p><p>[/TABLE]</p><p>[/CODE]</p><p></p><p>Takeaways:</p><ul> <li data-xf-list-type="ul">Unless you're on a tight deadline with money to burn, it makes far more sense to spend an extra week researching than it does to throw gold at the problem.</li> <li data-xf-list-type="ul">Go to the library.</li> <li data-xf-list-type="ul">Your INT doesn't really matter all that much.</li> <li data-xf-list-type="ul">I don't know why they didn't make this a skill check. All of the INT-based skills are appropriate to different avenues of research. A wizard <em>should</em> be better at researching arcane lore. A cleric <em>should</em> be better at researching divine lore.</li> </ul><p></p><p></p><p>As I mentioned before, I wanted to come up with some rules for researching spells, and this seemed like the best option. Given how little the gold actually makes a difference, I think it makes sense to allow a skill check rather than a raw ability check (any chance to reward a player for their choices while taking nothing away from anyone else ranks as a good decision in my book). Conveniently, proficiency goes to +6, just like the gold bonus, so I'm just switching them out. Using this system, spells will be broken up into "pieces of lore." I'm using (spell level + 1)**2, but it's just a matter of playing with the numbers until you get what you want. Using that formula, a young wizard could spend a month researching a new 1st level spell, and an archmage could spend the better part of a year researching a new 9th level spell. A researched cantrip would be to switch them out, since there's a hard limit on cantrips known.</p><p></p><p>According to this formula, a wizard researcher wanting to research 4 spells each from levels 1-8 would spend about nine years doing so, assuming they did nothing else.</p><p></p><p></p><p>[CODE][TABLE="width: 1808"]</p><p>[TR]</p><p>[TD]Spell Research[/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Pieces of Lore required for spell:[/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD](spell level + 1)**2[/TD]</p><p>[TD]Int Bonus:[/TD]</p><p>[TD="colspan: 4, align: center"]3[/TD]</p><p>[TD="colspan: 4, align: center"]3, Advantage[/TD]</p><p>[TD="colspan: 4, align: center"]4[/TD]</p><p>[TD="colspan: 4, align: center"]4, Advantage[/TD]</p><p>[TD="colspan: 4, align: center"]5[/TD]</p><p>[TD="colspan: 4, align: center"]5, Advantage[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD][/TD]</p><p>[TD][/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Gold Strategy[/TD]</p><p>[TD="colspan: 2, align: center"]Min Time Strategy[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD]Spell Level[/TD]</p><p>[TD="align: center"]Pieces of Lore[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[TD="align: center"]Avg Weeks[/TD]</p><p>[TD="align: center"]Avg Gold[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]0[/TD]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]0.59[/TD]</p><p>[TD="align: right"]29[/TD]</p><p>[TD="align: right"]0.42[/TD]</p><p>[TD="align: right"]292[/TD]</p><p>[TD="align: right"]0.47[/TD]</p><p>[TD="align: right"]23[/TD]</p><p>[TD="align: right"]0.37[/TD]</p><p>[TD="align: right"]260[/TD]</p><p>[TD="align: right"]0.54[/TD]</p><p>[TD="align: right"]27[/TD]</p><p>[TD="align: right"]0.40[/TD]</p><p>[TD="align: right"]280[/TD]</p><p>[TD="align: right"]0.44[/TD]</p><p>[TD="align: right"]22[/TD]</p><p>[TD="align: right"]0.36[/TD]</p><p>[TD="align: right"]255[/TD]</p><p>[TD="align: right"]0.50[/TD]</p><p>[TD="align: right"]25[/TD]</p><p>[TD="align: right"]0.39[/TD]</p><p>[TD="align: right"]275[/TD]</p><p>[TD="align: right"]0.42[/TD]</p><p>[TD="align: right"]21[/TD]</p><p>[TD="align: right"]0.36[/TD]</p><p>[TD="align: right"]250[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]1[/TD]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]2.35[/TD]</p><p>[TD="align: right"]118[/TD]</p><p>[TD="align: right"]1.67[/TD]</p><p>[TD="align: right"]1167[/TD]</p><p>[TD="align: right"]1.86[/TD]</p><p>[TD="align: right"]93[/TD]</p><p>[TD="align: right"]1.48[/TD]</p><p>[TD="align: right"]1039[/TD]</p><p>[TD="align: right"]2.16[/TD]</p><p>[TD="align: right"]108[/TD]</p><p>[TD="align: right"]1.60[/TD]</p><p>[TD="align: right"]1120[/TD]</p><p>[TD="align: right"]1.76[/TD]</p><p>[TD="align: right"]88[/TD]</p><p>[TD="align: right"]1.45[/TD]</p><p>[TD="align: right"]1018[/TD]</p><p>[TD="align: right"]2.00[/TD]</p><p>[TD="align: right"]100[/TD]</p><p>[TD="align: right"]1.57[/TD]</p><p>[TD="align: right"]1098[/TD]</p><p>[TD="align: right"]1.68[/TD]</p><p>[TD="align: right"]84[/TD]</p><p>[TD="align: right"]1.43[/TD]</p><p>[TD="align: right"]1001[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]2[/TD]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]5.29[/TD]</p><p>[TD="align: right"]265[/TD]</p><p>[TD="align: right"]3.75[/TD]</p><p>[TD="align: right"]2625[/TD]</p><p>[TD="align: right"]4.20[/TD]</p><p>[TD="align: right"]210[/TD]</p><p>[TD="align: right"]3.34[/TD]</p><p>[TD="align: right"]2338[/TD]</p><p>[TD="align: right"]4.86[/TD]</p><p>[TD="align: right"]243[/TD]</p><p>[TD="align: right"]3.60[/TD]</p><p>[TD="align: right"]2520[/TD]</p><p>[TD="align: right"]3.97[/TD]</p><p>[TD="align: right"]198[/TD]</p><p>[TD="align: right"]3.27[/TD]</p><p>[TD="align: right"]2291[/TD]</p><p>[TD="align: right"]4.50[/TD]</p><p>[TD="align: right"]225[/TD]</p><p>[TD="align: right"]3.53[/TD]</p><p>[TD="align: right"]2471[/TD]</p><p>[TD="align: right"]3.79[/TD]</p><p>[TD="align: right"]189[/TD]</p><p>[TD="align: right"]3.22[/TD]</p><p>[TD="align: right"]2252[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]3[/TD]</p><p>[TD="align: right"]16[/TD]</p><p>[TD="align: right"]9.41[/TD]</p><p>[TD="align: right"]471[/TD]</p><p>[TD="align: right"]6.67[/TD]</p><p>[TD="align: right"]4667[/TD]</p><p>[TD="align: right"]7.46[/TD]</p><p>[TD="align: right"]373[/TD]</p><p>[TD="align: right"]5.94[/TD]</p><p>[TD="align: right"]4156[/TD]</p><p>[TD="align: right"]8.65[/TD]</p><p>[TD="align: right"]432[/TD]</p><p>[TD="align: right"]6.40[/TD]</p><p>[TD="align: right"]4480[/TD]</p><p>[TD="align: right"]7.06[/TD]</p><p>[TD="align: right"]353[/TD]</p><p>[TD="align: right"]5.82[/TD]</p><p>[TD="align: right"]4073[/TD]</p><p>[TD="align: right"]8.00[/TD]</p><p>[TD="align: right"]400[/TD]</p><p>[TD="align: right"]6.27[/TD]</p><p>[TD="align: right"]4392[/TD]</p><p>[TD="align: right"]6.74[/TD]</p><p>[TD="align: right"]337[/TD]</p><p>[TD="align: right"]5.72[/TD]</p><p>[TD="align: right"]4004[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]4[/TD]</p><p>[TD="align: right"]25[/TD]</p><p>[TD="align: right"]14.71[/TD]</p><p>[TD="align: right"]735[/TD]</p><p>[TD="align: right"]10.42[/TD]</p><p>[TD="align: right"]7292[/TD]</p><p>[TD="align: right"]11.66[/TD]</p><p>[TD="align: right"]583[/TD]</p><p>[TD="align: right"]9.28[/TD]</p><p>[TD="align: right"]6494[/TD]</p><p>[TD="align: right"]13.51[/TD]</p><p>[TD="align: right"]676[/TD]</p><p>[TD="align: right"]10.00[/TD]</p><p>[TD="align: right"]7000[/TD]</p><p>[TD="align: right"]11.03[/TD]</p><p>[TD="align: right"]551[/TD]</p><p>[TD="align: right"]9.09[/TD]</p><p>[TD="align: right"]6364[/TD]</p><p>[TD="align: right"]12.50[/TD]</p><p>[TD="align: right"]625[/TD]</p><p>[TD="align: right"]9.80[/TD]</p><p>[TD="align: right"]6863[/TD]</p><p>[TD="align: right"]10.53[/TD]</p><p>[TD="align: right"]526[/TD]</p><p>[TD="align: right"]8.94[/TD]</p><p>[TD="align: right"]6256[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]5[/TD]</p><p>[TD="align: right"]36[/TD]</p><p>[TD="align: right"]21.18[/TD]</p><p>[TD="align: right"]1059[/TD]</p><p>[TD="align: right"]15.00[/TD]</p><p>[TD="align: right"]10500[/TD]</p><p>[TD="align: right"]16.78[/TD]</p><p>[TD="align: right"]839[/TD]</p><p>[TD="align: right"]13.36[/TD]</p><p>[TD="align: right"]9351[/TD]</p><p>[TD="align: right"]19.46[/TD]</p><p>[TD="align: right"]973[/TD]</p><p>[TD="align: right"]14.40[/TD]</p><p>[TD="align: right"]10080[/TD]</p><p>[TD="align: right"]15.88[/TD]</p><p>[TD="align: right"]794[/TD]</p><p>[TD="align: right"]13.09[/TD]</p><p>[TD="align: right"]9164[/TD]</p><p>[TD="align: right"]18.00[/TD]</p><p>[TD="align: right"]900[/TD]</p><p>[TD="align: right"]14.12[/TD]</p><p>[TD="align: right"]9882[/TD]</p><p>[TD="align: right"]15.16[/TD]</p><p>[TD="align: right"]758[/TD]</p><p>[TD="align: right"]12.87[/TD]</p><p>[TD="align: right"]9008[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]6[/TD]</p><p>[TD="align: right"]49[/TD]</p><p>[TD="align: right"]28.82[/TD]</p><p>[TD="align: right"]1441[/TD]</p><p>[TD="align: right"]20.42[/TD]</p><p>[TD="align: right"]14292[/TD]</p><p>[TD="align: right"]22.84[/TD]</p><p>[TD="align: right"]1142[/TD]</p><p>[TD="align: right"]18.18[/TD]</p><p>[TD="align: right"]12727[/TD]</p><p>[TD="align: right"]26.49[/TD]</p><p>[TD="align: right"]1324[/TD]</p><p>[TD="align: right"]19.60[/TD]</p><p>[TD="align: right"]13720[/TD]</p><p>[TD="align: right"]21.61[/TD]</p><p>[TD="align: right"]1080[/TD]</p><p>[TD="align: right"]17.82[/TD]</p><p>[TD="align: right"]12473[/TD]</p><p>[TD="align: right"]24.50[/TD]</p><p>[TD="align: right"]1225[/TD]</p><p>[TD="align: right"]19.22[/TD]</p><p>[TD="align: right"]13451[/TD]</p><p>[TD="align: right"]20.63[/TD]</p><p>[TD="align: right"]1032[/TD]</p><p>[TD="align: right"]17.52[/TD]</p><p>[TD="align: right"]12261[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]7[/TD]</p><p>[TD="align: right"]64[/TD]</p><p>[TD="align: right"]37.65[/TD]</p><p>[TD="align: right"]1882[/TD]</p><p>[TD="align: right"]26.67[/TD]</p><p>[TD="align: right"]18667[/TD]</p><p>[TD="align: right"]29.84[/TD]</p><p>[TD="align: right"]1492[/TD]</p><p>[TD="align: right"]23.75[/TD]</p><p>[TD="align: right"]16623[/TD]</p><p>[TD="align: right"]34.59[/TD]</p><p>[TD="align: right"]1730[/TD]</p><p>[TD="align: right"]25.60[/TD]</p><p>[TD="align: right"]17920[/TD]</p><p>[TD="align: right"]28.22[/TD]</p><p>[TD="align: right"]1411[/TD]</p><p>[TD="align: right"]23.27[/TD]</p><p>[TD="align: right"]16291[/TD]</p><p>[TD="align: right"]32.00[/TD]</p><p>[TD="align: right"]1600[/TD]</p><p>[TD="align: right"]25.10[/TD]</p><p>[TD="align: right"]17569[/TD]</p><p>[TD="align: right"]26.95[/TD]</p><p>[TD="align: right"]1347[/TD]</p><p>[TD="align: right"]22.88[/TD]</p><p>[TD="align: right"]16014[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]8[/TD]</p><p>[TD="align: right"]81[/TD]</p><p>[TD="align: right"]47.65[/TD]</p><p>[TD="align: right"]2382[/TD]</p><p>[TD="align: right"]33.75[/TD]</p><p>[TD="align: right"]23625[/TD]</p><p>[TD="align: right"]37.76[/TD]</p><p>[TD="align: right"]1888[/TD]</p><p>[TD="align: right"]30.06[/TD]</p><p>[TD="align: right"]21039[/TD]</p><p>[TD="align: right"]43.78[/TD]</p><p>[TD="align: right"]2189[/TD]</p><p>[TD="align: right"]32.40[/TD]</p><p>[TD="align: right"]22680[/TD]</p><p>[TD="align: right"]35.72[/TD]</p><p>[TD="align: right"]1786[/TD]</p><p>[TD="align: right"]29.45[/TD]</p><p>[TD="align: right"]20618[/TD]</p><p>[TD="align: right"]40.50[/TD]</p><p>[TD="align: right"]2025[/TD]</p><p>[TD="align: right"]31.76[/TD]</p><p>[TD="align: right"]22235[/TD]</p><p>[TD="align: right"]34.11[/TD]</p><p>[TD="align: right"]1705[/TD]</p><p>[TD="align: right"]28.95[/TD]</p><p>[TD="align: right"]20268[/TD]</p><p>[/TR]</p><p>[TR]</p><p>[TD="align: right"]9[/TD]</p><p>[TD="align: right"]100[/TD]</p><p>[TD="align: right"]58.82[/TD]</p><p>[TD="align: right"]2941[/TD]</p><p>[TD="align: right"]41.67[/TD]</p><p>[TD="align: right"]29167[/TD]</p><p>[TD="align: right"]46.62[/TD]</p><p>[TD="align: right"]2331[/TD]</p><p>[TD="align: right"]37.11[/TD]</p><p>[TD="align: right"]25974[/TD]</p><p>[TD="align: right"]54.05[/TD]</p><p>[TD="align: right"]2703[/TD]</p><p>[TD="align: right"]40.00[/TD]</p><p>[TD="align: right"]28000[/TD]</p><p>[TD="align: right"]44.10[/TD]</p><p>[TD="align: right"]2205[/TD]</p><p>[TD="align: right"]36.36[/TD]</p><p>[TD="align: right"]25455[/TD]</p><p>[TD="align: right"]50.00[/TD]</p><p>[TD="align: right"]2500[/TD]</p><p>[TD="align: right"]39.22[/TD]</p><p>[TD="align: right"]27451[/TD]</p><p>[TD="align: right"]42.11[/TD]</p><p>[TD="align: right"]2105[/TD]</p><p>[TD="align: right"]35.75[/TD]</p><p>[TD="align: right"]25022[/TD]</p><p>[/TR]</p><p>[/TABLE]</p><p>[/CODE]</p><p></p><p></p><p>This was primarily an informative post, but thoughts and opinions are welcome for both the analysis of official material and thoughts regarding spell research!</p></blockquote><p></p>
[QUOTE="BlivetWidget, post: 7516447, member: 6912801"] Running some numbers here for the downtime activity Research from XGE 132. I wanted to come up with some rules for researching spells, and this seemed like the best option of all the downtime activities. General summary of the research rules: [LIST] [*]Time: 1 workweek [*]Intelligence Check (will generally be +3 to +5 for a Wizard), learning 0 to 3 pieces of lore depending on the result. [*]Advantage if access to well-stocked library or knowledgeable sage [*]Bonus is +0 to +6 depending on gold spent (note I suspect a typo in the rules. The way the cost per bonus is worded implies that the baseline cost is 100 gp, but it's written as 50 gp, making me question if the typo is in the baseline cost or in the cost per bonus). [/LIST] So how much does spending money to aid your research really help you? Turns out, not that much: [CODE][TABLE="width: 1552"] [TR] [TD]Int Bonus[/TD] [TD="colspan: 7, align: center"]3[HR][/HR][/TD] [TD="colspan: 7, align: center"]4[HR][/HR][/TD] [TD="colspan: 7, align: center"]5[HR][/HR][/TD] [/TR] [TR] [TD]Gold spent[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [/TR] [TR] [TD]Gold Bonus[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [/TR] [TR] [TD]Total Bonus[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]10[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]10[/TD] [TD="align: right"]11[/TD] [/TR] [TR] [TD]Odds: No effect (C<=5)[/TD] [TD="align: right"]10%[/TD] [TD="align: right"]5%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]5%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [/TR] [TR] [TD]Odds: You learn one piece of lore (6<=C<=10)[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]20%[/TD] [TD="align: right"]15%[/TD] [TD="align: right"]10%[/TD] [TD="align: right"]5%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]20%[/TD] [TD="align: right"]15%[/TD] [TD="align: right"]10%[/TD] [TD="align: right"]5%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]20%[/TD] [TD="align: right"]15%[/TD] [TD="align: right"]10%[/TD] [TD="align: right"]5%[/TD] [TD="align: right"]0%[/TD] [TD="align: right"]0%[/TD] [/TR] [TR] [TD]Odds: You learn two pieces of lore (11<=C<=20)[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]45%[/TD] [/TR] [TR] [TD]Odds: You learn three pieces of lore (21 <= C)[/TD] [TD="align: right"]15%[/TD] [TD="align: right"]20%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]30%[/TD] [TD="align: right"]35%[/TD] [TD="align: right"]40%[/TD] [TD="align: right"]45%[/TD] [TD="align: right"]20%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]30%[/TD] [TD="align: right"]35%[/TD] [TD="align: right"]40%[/TD] [TD="align: right"]45%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]25%[/TD] [TD="align: right"]30%[/TD] [TD="align: right"]35%[/TD] [TD="align: right"]40%[/TD] [TD="align: right"]45%[/TD] [TD="align: right"]50%[/TD] [TD="align: right"]55%[/TD] [/TR] [TR] [TD]Sanity Check: total odds[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [/TR] [TR] [TD]Average Pieces Learned:[/TD] [TD="align: right"]1.7[/TD] [TD="align: right"]1.85[/TD] [TD="align: right"]2[/TD] [TD="align: right"]2.1[/TD] [TD="align: right"]2.2[/TD] [TD="align: right"]2.3[/TD] [TD="align: right"]2.4[/TD] [TD="align: right"]1.85[/TD] [TD="align: right"]2[/TD] [TD="align: right"]2.1[/TD] [TD="align: right"]2.2[/TD] [TD="align: right"]2.3[/TD] [TD="align: right"]2.4[/TD] [TD="align: right"]2.5[/TD] [TD="align: right"]2[/TD] [TD="align: right"]2.1[/TD] [TD="align: right"]2.2[/TD] [TD="align: right"]2.3[/TD] [TD="align: right"]2.4[/TD] [TD="align: right"]2.5[/TD] [TD="align: right"]2.55[/TD] [/TR] [/TABLE] [/CODE] How about advantage? [CODE][TABLE="width: 1552"] [TR] [TD][/TD] [TD="colspan: 21, align: center"]Advantage[/TD] [/TR] [TR] [TD]Int Bonus[/TD] [TD="colspan: 7, align: center"]3[HR][/HR] [/TD] [TD="colspan: 7, align: center"]4[HR][/HR] [/TD] [TD="colspan: 7, align: center"]5[HR][/HR] [/TD] [/TR] [TR] [TD]Gold spent[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [TD="align: right"]50[/TD] [TD="align: right"]200[/TD] [TD="align: right"]300[/TD] [TD="align: right"]400[/TD] [TD="align: right"]500[/TD] [TD="align: right"]600[/TD] [TD="align: right"]700[/TD] [/TR] [TR] [TD]Gold Bonus[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]2[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [/TR] [TR] [TD]Total Bonus[/TD] [TD="align: right"]3[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]4[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]10[/TD] [TD="align: right"]5[/TD] [TD="align: right"]6[/TD] [TD="align: right"]7[/TD] [TD="align: right"]8[/TD] [TD="align: right"]9[/TD] [TD="align: right"]10[/TD] [TD="align: right"]11[/TD] [/TR] [TR] [TD]Odds: No effect (C<=5)[/TD] [TD="align: right"]1.00%[/TD] [TD="align: right"]0.25%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.25%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [/TR] [TR] [TD]Odds: You learn one piece of lore (6<=C<=10)[/TD] [TD="align: right"]11.25%[/TD] [TD="align: right"]8.75%[/TD] [TD="align: right"]6.25%[/TD] [TD="align: right"]4.00%[/TD] [TD="align: right"]2.25%[/TD] [TD="align: right"]1.00%[/TD] [TD="align: right"]0.25%[/TD] [TD="align: right"]8.75%[/TD] [TD="align: right"]6.25%[/TD] [TD="align: right"]4.00%[/TD] [TD="align: right"]2.25%[/TD] [TD="align: right"]1.00%[/TD] [TD="align: right"]0.25%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]6.25%[/TD] [TD="align: right"]4.00%[/TD] [TD="align: right"]2.25%[/TD] [TD="align: right"]1.00%[/TD] [TD="align: right"]0.25%[/TD] [TD="align: right"]0.00%[/TD] [TD="align: right"]0.00%[/TD] [/TR] [TR] [TD]Odds: You learn two pieces of lore (11<=C<=20)[/TD] [TD="align: right"]60.00%[/TD] [TD="align: right"]55.00%[/TD] [TD="align: right"]50.00%[/TD] [TD="align: right"]45.00%[/TD] [TD="align: right"]40.00%[/TD] [TD="align: right"]35.00%[/TD] [TD="align: right"]30.00%[/TD] [TD="align: right"]55.00%[/TD] [TD="align: right"]50.00%[/TD] [TD="align: right"]45.00%[/TD] [TD="align: right"]40.00%[/TD] [TD="align: right"]35.00%[/TD] [TD="align: right"]30.00%[/TD] [TD="align: right"]25.00%[/TD] [TD="align: right"]50.00%[/TD] [TD="align: right"]45.00%[/TD] [TD="align: right"]40.00%[/TD] [TD="align: right"]35.00%[/TD] [TD="align: right"]30.00%[/TD] [TD="align: right"]25.00%[/TD] [TD="align: right"]20.25%[/TD] [/TR] [TR] [TD]Odds: You learn three pieces of lore (21 <= C)[/TD] [TD="align: right"]27.75%[/TD] [TD="align: right"]36.00%[/TD] [TD="align: right"]43.75%[/TD] [TD="align: right"]51.00%[/TD] [TD="align: right"]57.75%[/TD] [TD="align: right"]64.00%[/TD] [TD="align: right"]69.75%[/TD] [TD="align: right"]36.00%[/TD] [TD="align: right"]43.75%[/TD] [TD="align: right"]51.00%[/TD] [TD="align: right"]57.75%[/TD] [TD="align: right"]64.00%[/TD] [TD="align: right"]69.75%[/TD] [TD="align: right"]75.00%[/TD] [TD="align: right"]43.75%[/TD] [TD="align: right"]51.00%[/TD] [TD="align: right"]57.75%[/TD] [TD="align: right"]64.00%[/TD] [TD="align: right"]69.75%[/TD] [TD="align: right"]75.00%[/TD] [TD="align: right"]79.75%[/TD] [/TR] [TR] [TD]Sanity Check: total odds[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [TD="align: right"]100.00%[/TD] [/TR] [TR] [TD]Average Pieces Learned:[/TD] [TD="align: right"]2.145[/TD] [TD="align: right"]2.2675[/TD] [TD="align: right"]2.375[/TD] [TD="align: right"]2.47[/TD] [TD="align: right"]2.555[/TD] [TD="align: right"]2.63[/TD] [TD="align: right"]2.695[/TD] [TD="align: right"]2.2675[/TD] [TD="align: right"]2.375[/TD] [TD="align: right"]2.47[/TD] [TD="align: right"]2.555[/TD] [TD="align: right"]2.63[/TD] [TD="align: right"]2.695[/TD] [TD="align: right"]2.75[/TD] [TD="align: right"]2.375[/TD] [TD="align: right"]2.47[/TD] [TD="align: right"]2.555[/TD] [TD="align: right"]2.63[/TD] [TD="align: right"]2.695[/TD] [TD="align: right"]2.75[/TD] [TD="align: right"]2.7975[/TD] [/TR] [/TABLE] [/CODE] Takeaways: [LIST] [*]Unless you're on a tight deadline with money to burn, it makes far more sense to spend an extra week researching than it does to throw gold at the problem. [*]Go to the library. [*]Your INT doesn't really matter all that much. [*]I don't know why they didn't make this a skill check. All of the INT-based skills are appropriate to different avenues of research. A wizard [I]should[/I] be better at researching arcane lore. A cleric [I]should[/I] be better at researching divine lore. [/LIST] As I mentioned before, I wanted to come up with some rules for researching spells, and this seemed like the best option. Given how little the gold actually makes a difference, I think it makes sense to allow a skill check rather than a raw ability check (any chance to reward a player for their choices while taking nothing away from anyone else ranks as a good decision in my book). Conveniently, proficiency goes to +6, just like the gold bonus, so I'm just switching them out. Using this system, spells will be broken up into "pieces of lore." I'm using (spell level + 1)**2, but it's just a matter of playing with the numbers until you get what you want. Using that formula, a young wizard could spend a month researching a new 1st level spell, and an archmage could spend the better part of a year researching a new 9th level spell. A researched cantrip would be to switch them out, since there's a hard limit on cantrips known. According to this formula, a wizard researcher wanting to research 4 spells each from levels 1-8 would spend about nine years doing so, assuming they did nothing else. [CODE][TABLE="width: 1808"] [TR] [TD]Spell Research[/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [/TR] [TR] [TD]Pieces of Lore required for spell:[/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [/TR] [TR] [TD](spell level + 1)**2[/TD] [TD]Int Bonus:[/TD] [TD="colspan: 4, align: center"]3[/TD] [TD="colspan: 4, align: center"]3, Advantage[/TD] [TD="colspan: 4, align: center"]4[/TD] [TD="colspan: 4, align: center"]4, Advantage[/TD] [TD="colspan: 4, align: center"]5[/TD] [TD="colspan: 4, align: center"]5, Advantage[/TD] [/TR] [TR] [TD][/TD] [TD][/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [TD="colspan: 2, align: center"]Min Gold Strategy[/TD] [TD="colspan: 2, align: center"]Min Time Strategy[/TD] [/TR] [TR] [TD]Spell Level[/TD] [TD="align: center"]Pieces of Lore[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [TD="align: center"]Avg Weeks[/TD] [TD="align: center"]Avg Gold[/TD] [/TR] [TR] [TD="align: right"]0[/TD] [TD="align: right"]1[/TD] [TD="align: right"]0.59[/TD] [TD="align: right"]29[/TD] [TD="align: right"]0.42[/TD] [TD="align: right"]292[/TD] [TD="align: right"]0.47[/TD] [TD="align: right"]23[/TD] [TD="align: right"]0.37[/TD] [TD="align: right"]260[/TD] [TD="align: right"]0.54[/TD] [TD="align: right"]27[/TD] [TD="align: right"]0.40[/TD] [TD="align: right"]280[/TD] [TD="align: right"]0.44[/TD] [TD="align: right"]22[/TD] [TD="align: right"]0.36[/TD] [TD="align: right"]255[/TD] [TD="align: right"]0.50[/TD] [TD="align: right"]25[/TD] [TD="align: right"]0.39[/TD] [TD="align: right"]275[/TD] [TD="align: right"]0.42[/TD] [TD="align: right"]21[/TD] [TD="align: right"]0.36[/TD] [TD="align: right"]250[/TD] [/TR] [TR] [TD="align: right"]1[/TD] [TD="align: right"]4[/TD] [TD="align: right"]2.35[/TD] [TD="align: right"]118[/TD] [TD="align: right"]1.67[/TD] [TD="align: right"]1167[/TD] [TD="align: right"]1.86[/TD] [TD="align: right"]93[/TD] [TD="align: right"]1.48[/TD] [TD="align: right"]1039[/TD] [TD="align: right"]2.16[/TD] [TD="align: right"]108[/TD] [TD="align: right"]1.60[/TD] [TD="align: right"]1120[/TD] [TD="align: right"]1.76[/TD] [TD="align: right"]88[/TD] [TD="align: right"]1.45[/TD] [TD="align: right"]1018[/TD] [TD="align: right"]2.00[/TD] [TD="align: right"]100[/TD] [TD="align: right"]1.57[/TD] [TD="align: right"]1098[/TD] [TD="align: right"]1.68[/TD] [TD="align: right"]84[/TD] [TD="align: right"]1.43[/TD] [TD="align: right"]1001[/TD] [/TR] [TR] [TD="align: right"]2[/TD] [TD="align: right"]9[/TD] [TD="align: right"]5.29[/TD] [TD="align: right"]265[/TD] [TD="align: right"]3.75[/TD] [TD="align: right"]2625[/TD] [TD="align: right"]4.20[/TD] [TD="align: right"]210[/TD] [TD="align: right"]3.34[/TD] [TD="align: right"]2338[/TD] [TD="align: right"]4.86[/TD] [TD="align: right"]243[/TD] [TD="align: right"]3.60[/TD] [TD="align: right"]2520[/TD] [TD="align: right"]3.97[/TD] [TD="align: right"]198[/TD] [TD="align: right"]3.27[/TD] [TD="align: right"]2291[/TD] [TD="align: right"]4.50[/TD] [TD="align: right"]225[/TD] [TD="align: right"]3.53[/TD] [TD="align: right"]2471[/TD] [TD="align: right"]3.79[/TD] [TD="align: right"]189[/TD] [TD="align: right"]3.22[/TD] [TD="align: right"]2252[/TD] [/TR] [TR] [TD="align: right"]3[/TD] [TD="align: right"]16[/TD] [TD="align: right"]9.41[/TD] [TD="align: right"]471[/TD] [TD="align: right"]6.67[/TD] [TD="align: right"]4667[/TD] [TD="align: right"]7.46[/TD] [TD="align: right"]373[/TD] [TD="align: right"]5.94[/TD] [TD="align: right"]4156[/TD] [TD="align: right"]8.65[/TD] [TD="align: right"]432[/TD] [TD="align: right"]6.40[/TD] [TD="align: right"]4480[/TD] [TD="align: right"]7.06[/TD] [TD="align: right"]353[/TD] [TD="align: right"]5.82[/TD] [TD="align: right"]4073[/TD] [TD="align: right"]8.00[/TD] [TD="align: right"]400[/TD] [TD="align: right"]6.27[/TD] [TD="align: right"]4392[/TD] [TD="align: right"]6.74[/TD] [TD="align: right"]337[/TD] [TD="align: right"]5.72[/TD] [TD="align: right"]4004[/TD] [/TR] [TR] [TD="align: right"]4[/TD] [TD="align: right"]25[/TD] [TD="align: right"]14.71[/TD] [TD="align: right"]735[/TD] [TD="align: right"]10.42[/TD] [TD="align: right"]7292[/TD] [TD="align: right"]11.66[/TD] [TD="align: right"]583[/TD] [TD="align: right"]9.28[/TD] [TD="align: right"]6494[/TD] [TD="align: right"]13.51[/TD] [TD="align: right"]676[/TD] [TD="align: right"]10.00[/TD] [TD="align: right"]7000[/TD] [TD="align: right"]11.03[/TD] [TD="align: right"]551[/TD] [TD="align: right"]9.09[/TD] [TD="align: right"]6364[/TD] [TD="align: right"]12.50[/TD] [TD="align: right"]625[/TD] [TD="align: right"]9.80[/TD] [TD="align: right"]6863[/TD] [TD="align: right"]10.53[/TD] [TD="align: right"]526[/TD] [TD="align: right"]8.94[/TD] [TD="align: right"]6256[/TD] [/TR] [TR] [TD="align: right"]5[/TD] [TD="align: right"]36[/TD] [TD="align: right"]21.18[/TD] [TD="align: right"]1059[/TD] [TD="align: right"]15.00[/TD] [TD="align: right"]10500[/TD] [TD="align: right"]16.78[/TD] [TD="align: right"]839[/TD] [TD="align: right"]13.36[/TD] [TD="align: right"]9351[/TD] [TD="align: right"]19.46[/TD] [TD="align: right"]973[/TD] [TD="align: right"]14.40[/TD] [TD="align: right"]10080[/TD] [TD="align: right"]15.88[/TD] [TD="align: right"]794[/TD] [TD="align: right"]13.09[/TD] [TD="align: right"]9164[/TD] [TD="align: right"]18.00[/TD] [TD="align: right"]900[/TD] [TD="align: right"]14.12[/TD] [TD="align: right"]9882[/TD] [TD="align: right"]15.16[/TD] [TD="align: right"]758[/TD] [TD="align: right"]12.87[/TD] [TD="align: right"]9008[/TD] [/TR] [TR] [TD="align: right"]6[/TD] [TD="align: right"]49[/TD] [TD="align: right"]28.82[/TD] [TD="align: right"]1441[/TD] [TD="align: right"]20.42[/TD] [TD="align: right"]14292[/TD] [TD="align: right"]22.84[/TD] [TD="align: right"]1142[/TD] [TD="align: right"]18.18[/TD] [TD="align: right"]12727[/TD] [TD="align: right"]26.49[/TD] [TD="align: right"]1324[/TD] [TD="align: right"]19.60[/TD] [TD="align: right"]13720[/TD] [TD="align: right"]21.61[/TD] [TD="align: right"]1080[/TD] [TD="align: right"]17.82[/TD] [TD="align: right"]12473[/TD] [TD="align: right"]24.50[/TD] [TD="align: right"]1225[/TD] [TD="align: right"]19.22[/TD] [TD="align: right"]13451[/TD] [TD="align: right"]20.63[/TD] [TD="align: right"]1032[/TD] [TD="align: right"]17.52[/TD] [TD="align: right"]12261[/TD] [/TR] [TR] [TD="align: right"]7[/TD] [TD="align: right"]64[/TD] [TD="align: right"]37.65[/TD] [TD="align: right"]1882[/TD] [TD="align: right"]26.67[/TD] [TD="align: right"]18667[/TD] [TD="align: right"]29.84[/TD] [TD="align: right"]1492[/TD] [TD="align: right"]23.75[/TD] [TD="align: right"]16623[/TD] [TD="align: right"]34.59[/TD] [TD="align: right"]1730[/TD] [TD="align: right"]25.60[/TD] [TD="align: right"]17920[/TD] [TD="align: right"]28.22[/TD] [TD="align: right"]1411[/TD] [TD="align: right"]23.27[/TD] [TD="align: right"]16291[/TD] [TD="align: right"]32.00[/TD] [TD="align: right"]1600[/TD] [TD="align: right"]25.10[/TD] [TD="align: right"]17569[/TD] [TD="align: right"]26.95[/TD] [TD="align: right"]1347[/TD] [TD="align: right"]22.88[/TD] [TD="align: right"]16014[/TD] [/TR] [TR] [TD="align: right"]8[/TD] [TD="align: right"]81[/TD] [TD="align: right"]47.65[/TD] [TD="align: right"]2382[/TD] [TD="align: right"]33.75[/TD] [TD="align: right"]23625[/TD] [TD="align: right"]37.76[/TD] [TD="align: right"]1888[/TD] [TD="align: right"]30.06[/TD] [TD="align: right"]21039[/TD] [TD="align: right"]43.78[/TD] [TD="align: right"]2189[/TD] [TD="align: right"]32.40[/TD] [TD="align: right"]22680[/TD] [TD="align: right"]35.72[/TD] [TD="align: right"]1786[/TD] [TD="align: right"]29.45[/TD] [TD="align: right"]20618[/TD] [TD="align: right"]40.50[/TD] [TD="align: right"]2025[/TD] [TD="align: right"]31.76[/TD] [TD="align: right"]22235[/TD] [TD="align: right"]34.11[/TD] [TD="align: right"]1705[/TD] [TD="align: right"]28.95[/TD] [TD="align: right"]20268[/TD] [/TR] [TR] [TD="align: right"]9[/TD] [TD="align: right"]100[/TD] [TD="align: right"]58.82[/TD] [TD="align: right"]2941[/TD] [TD="align: right"]41.67[/TD] [TD="align: right"]29167[/TD] [TD="align: right"]46.62[/TD] [TD="align: right"]2331[/TD] [TD="align: right"]37.11[/TD] [TD="align: right"]25974[/TD] [TD="align: right"]54.05[/TD] [TD="align: right"]2703[/TD] [TD="align: right"]40.00[/TD] [TD="align: right"]28000[/TD] [TD="align: right"]44.10[/TD] [TD="align: right"]2205[/TD] [TD="align: right"]36.36[/TD] [TD="align: right"]25455[/TD] [TD="align: right"]50.00[/TD] [TD="align: right"]2500[/TD] [TD="align: right"]39.22[/TD] [TD="align: right"]27451[/TD] [TD="align: right"]42.11[/TD] [TD="align: right"]2105[/TD] [TD="align: right"]35.75[/TD] [TD="align: right"]25022[/TD] [/TR] [/TABLE] [/CODE] This was primarily an informative post, but thoughts and opinions are welcome for both the analysis of official material and thoughts regarding spell research! 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