300 * X * X * (1+(Y*Y))
X=maximum spell level that can be affected
Y=the level adjustment of the metamagic feat in question
Following this formula would indicate the following costs...
Level |
3 |
6 |
9 |
0 |
2700 |
10800 |
24300 |
1 |
5400 |
21600 |
48600 |
2 |
13500 |
54000 |
121500 |
3 |
27000 |
108000 |
243000 |
4 |
45900 |
183600 |
413100 |
5 |
70200 |
280800 |
631800 |
6 |
99900 |
399600 |
899100 |
In Complete Arcane, the metamagic the rod of Sculpt Spell (+1) agrees with this formula 100%. The metamagic rod of Chain Spell (+3) is priced at 27200/108000/243000, which is so very close to being correct that the difference could be attributed to a mistype. Similarly, the metamagic rods of Cooperative Spell and Energy Substitution (both +0s) match the chart except their middle level is 10500 gp instead of 10800 gp, which could also be simply a mistype (albeit one happened consistently, so maybe the prices were copy-pasted?).