r_rolo1
King of myself
That is mean .....
But I know the answer 


Are you forgetting the culture doubles after 1000yrs?
so this shouldn't be too hard,
this is just the summation from i=1 to k of (i -1)
note: it is i-1 because at turn 1 u have no culture and turn 2 u have 1 culture.
reindexing gives us j=0 to k-1 of j which = (k * k-1) /2
now we want k to be the smallest number that makes that equation greater than the culture needed for legendary.
for Quick:
this becomes (k^2 + k) / 2 = 25,000 this gives us k = 224.1 so we need 225 turns
for Normal:
this becomes (k^2 + k) / 2 = 50,000 this gives us k = 316.7 so we need 317 turns
for Epic:
this becomes (k^2 + k) / 2 = 75,000 this gives us k = 387.7 so we need 388 turns
for Marathon:
this becomes (k^2 + k) / 2 = 150,000 this gives us k = 548.2 so we need 549 turns
then to find which is soonest (by year) thats just 225/330 vs 317/500 vs 388/750 vs 549/1500
so clearly marathon is first by year to reach legendary, this being on turn 549 which is
the year 1245AD
yay for maths
Are you forgetting the culture doubles after 1000yrs?
<GameTurnInfo>
<iMonthIncrement>720</iMonthIncrement>
<iTurnsPerIncrement>50</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>480</iMonthIncrement>
<iTurnsPerIncrement>30</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>360</iMonthIncrement>
<iTurnsPerIncrement>20</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>240</iMonthIncrement>
<iTurnsPerIncrement>30</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>120</iMonthIncrement>
<iTurnsPerIncrement>25</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>60</iMonthIncrement>
<iTurnsPerIncrement>40</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>24</iMonthIncrement>
<iTurnsPerIncrement>65</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>12</iMonthIncrement>
<iTurnsPerIncrement>70</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>480</iMonthIncrement>
<iTurnsPerIncrement>75</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>300</iMonthIncrement>
<iTurnsPerIncrement>60</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>240</iMonthIncrement>
<iTurnsPerIncrement>25</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>120</iMonthIncrement>
<iTurnsPerIncrement>50</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>60</iMonthIncrement>
<iTurnsPerIncrement>60</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>24</iMonthIncrement>
<iTurnsPerIncrement>50</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>12</iMonthIncrement>
<iTurnsPerIncrement>120</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>6</iMonthIncrement>
<iTurnsPerIncrement>60</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>300</iMonthIncrement>
<iTurnsPerIncrement>140</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>180</iMonthIncrement>
<iTurnsPerIncrement>90</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>120</iMonthIncrement>
<iTurnsPerIncrement>40</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>60</iMonthIncrement>
<iTurnsPerIncrement>90</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>24</iMonthIncrement>
<iTurnsPerIncrement>70</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>12</iMonthIncrement>
<iTurnsPerIncrement>100</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>6</iMonthIncrement>
<iTurnsPerIncrement>220</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>180</iMonthIncrement>
<iTurnsPerIncrement>100</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>120</iMonthIncrement>
<iTurnsPerIncrement>300</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>60</iMonthIncrement>
<iTurnsPerIncrement>170</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>24</iMonthIncrement>
<iTurnsPerIncrement>201</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>12</iMonthIncrement>
<iTurnsPerIncrement>129</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>6</iMonthIncrement>
<iTurnsPerIncrement>180</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>3</iMonthIncrement>
<iTurnsPerIncrement>264</iTurnsPerIncrement>
</GameTurnInfo>
<GameTurnInfo>
<iMonthIncrement>1</iMonthIncrement>
<iTurnsPerIncrement>156</iTurnsPerIncrement>
</GameTurnInfo>
Tibur753, those values are not for BtS 3.17, right? As far as I can tell, in 3.17 the iYearIncrement is an iMonthIncrement instead. The numbers you have for Epic, for example, do not add up to the 750 turns there are in an Epic game.