First understand that what you are doing inverts the data, that is what sets the LEDs to full on with a TLC5940 alone will set the LED to full off when you add the 2003.
And, I wanner send data 0-255 to control LED strips from Jitter.
That's why I used map.
I think you have that bit of the code the wrong way round. Try it simply first without all the fancy control just to see if you have the hardware working.