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TP Modifier (fTP) is a multiplier of your Base Damage on the first hit of a weapon skill.

The TP modifier function is a straight linear equation between the anchor points at 100% and 200%. It is also a straight linear equation between the anchor points at 200% and 300%. In other words, each percentage point of TP past an anchor point (100% or 200%) will increase fTP by 1% of the difference between the fTP of the next anchor point and the fTP of the previous anchor point.

Formula:

PreviousAnchor is 100% for TP between 100 and 200, 200% for TP between 200 and 300
NextAnchor is 200% for TP between 100 and 200, 300% for TP between 200 and 300
dTP = diffence in TP between current TP and the previous anchor, ie 10% if TP is 110%, 50% if 150%, 10% if 210%...
fTP(PreviousAnchor) + dTP * (fTP(NextAnchor) - fTP(PreviousAnchor))

Examples:

The WS Calamity has the following fTP anchor values:
fTP(100%) = 1.00 = f100
fTP(200%) = 1.50 = f200
fTP(300%) = 4.00 = f300
fTP(150%)
f100 + 0.5 * (f200 - f100)
1.00 + 0.5 * (1.50 - 1.00)
1.00 + 0.5 * 0.5
1.00 + 0.25
1.25
fTP(250%)
f200 + 0.5 * (f300 - f200)
1.50 + 0.5 * (4.00 - 1.50)
1.50 + 0.5 * 2.5
1.50 + 1.25
2.75
Note that the slope of the fTP function for most WS does not change at 200%, so for those WS the formula can be simplified.

Additional hits on the WS (be it from double attack, triple attack, Quadruple Attack, dual wield, or subsequent hits from a multi-hit WS) will always have a fTP of 1.0.

See also