mtg-curve

This is a collection of scripts to compute the number of colored lands you need to play your spells on curve.

Basic script

This is mostly the same script as Frank Karsten's, with similar results

lands	C	1C	CC	2C	1CC	CCC	3C	2CC	1CCC	CCCC	4C	3CC	2CCC	1CCCC	5C	4CC	3CCC	5CC	4CCC
20	12	12	18	10	15	19	9	13	17	20	8	12	15	18	7	11	14	10	12
21	12	12	18	10	16	20	9	14	18	21	8	12	16	19	7	11	14	10	13
22	13	12	19	11	17	21	9	15	19	22	8	13	17	20	8	12	15	11	14
23	13	13	20	11	17	22	10	15	19	23	9	13	17	21	8	12	16	11	14
24	14	13	20	11	18	23	10	16	20	24	9	14	18	21	8	13	16	12	15
25	14	13	21	12	18	23	11	16	21	24	9	15	19	22	9	13	17	12	16
26	14	13	21	12	19	24	11	17	21	25	10	15	19	23	9	14	18	13	16
27	15	14	22	12	19	25	11	17	22	26	10	16	20	24	9	14	18	13	17
28	15	14	22	13	20	26	11	18	23	27	10	16	21	25	10	15	19	14	18
29	15	14	23	13	20	26	12	18	23	28	11	17	21	25	10	15	20	14	18
30	15	14	23	13	21	27	12	19	24	29	11	17	22	26	10	16	20	15	19

Tapped lands

This is a script to take into account taplands, assuming they tap for the color you're trying to cast.

The process is a bit more CPU intensive, and also harder to present, so here is the data for 24 and 25 lands only.

24 lands

Here is how the data should be read: If you want to cast a 2C spell, you need 11 sources of the color, and this can accomodate 0 taplands. If you have 12 sources of that color, you can accomodate 4 taplands.. The row for C is not interesting: turn 1, any tapland is the same as a land of a bad color, so you shouldn't count taplands as sources of the relevant color.

mana cost	lands (tapped)
C	14(0) 15(1) 16(2) 17(3) 18(4) 19(5) 20(6) 21(7) 22(8) 23(9) 24(10)
1C	13(4) 14(6) 15(8) 16(9) 17(10) 20(11)
CC	20(2) 21(6) 22(8) 23(10) 24(11)
2C	11(0) 12(4) 13(7) 14(8) 15(9) 16(10) 19(11)
1CC	18(4) 19(7) 20(9) 21(10) 22(11)
CCC	23(7) 24(11)
3C	10(1) 11(3) 12(5) 13(6) 14(7) 15(8) 24(9)
2CC	16(2) 17(5) 18(6) 19(7) 20(8) 23(9)
1CCC	20(1) 21(5) 22(7) 23(8)
CCCC	24(8)
4C	9(0) 10(2) 11(3) 12(4) 13(5)
3CC	14(0) 15(2) 16(4) 18(5)
2CCC	18(1) 19(3) 20(4) 21(5)
1CCCC	21(0) 22(3) 23(5)
5C	8(0) 9(1) 10(2) 11(3)
4CC	13(1) 14(2) 16(3)
3CCC	16(0) 17(1) 18(2) 19(3)
5CC	12(0) 13(1) 14(2)
4CCC	15(0) 16(1) 17(2)

Some rows might be surprising, like the 4C row. It means that I can accomodate at most 5 taplands, even if all 24 lands tap for my color. Why is that ? Suppose you have 24 lands, 6 of them tapped. That's 25% of your lands tapped. 5 lands is a lot, and it's pretty difficult to get 5 lands by turn 5. So you're almost always topdecking your 5th land, and it will be tapped 25% of the time, so you won't be able to cast your spell. That's not a rigorous proof, but that's the idea.

The moral of the story is that you shouldn't expect to be able to play your 5 and 6 mana cards on curve even with one tapland.

25 lands

mana cost	lands (tapped)

| C | 14(0) 15(1) 16(2) 17(3) 18(4) 19(5) 20(6) 21(7) 22(8) 23(9) 24(10) 25(11) | | 1C | 13(2) 14(6) 15(8) 16(9) 17(10) 19(11) 22(12) | | CC | 21(4) 22(7) 23(9) 24(10) 25(12) | | 2C | 12(3) 13(6) 14(8) 15(9) 16(10) 17(11) 22(12) | | 1CC | 18(1) 19(6) 20(8) 21(10) 22(11) 24(12) | | CCC | 23(1) 24(8) 25(12) | | 3C | 10(0) 11(2) 12(5) 13(6) 14(7) 15(8) 16(9) | | 2CC | 16(0) 17(4) 18(6) 19(7) 20(8) 21(9) | | 1CCC | 21(3) 22(6) 23(8) 24(9) | | CCCC | 24(0) 25(9) | | 4C | 9(0) 10(2) 11(3) 12(4) 13(5) 15(6) | | 3CC | 15(2) 16(3) 17(4) 18(5) 19(6) | | 2CCC | 19(2) 20(4) 21(5) 22(6) | | 1CCCC | 22(1) 23(4) 24(6) | | 5C | 9(1) 10(2) 11(3) 15(4) | | 4CC | 13(0) 14(1) 15(2) 16(3) 19(4) | | 3CCC | 17(0) 18(2) 19(3) 21(4) | | 5CC | 12(0) 13(1) 14(2) | | 4CCC | 16(1) 18(2) |