Help wiring multiple different colored LED lights
I think you mean that you will put LEDs in series (ie daisy chain strings) not parallel. 
if you use 3 times 9 volt batteries in series that gives you 21 volts . a serial string of 5 green, purple or pink should work well with a 200 ohm in series .
for the other colours (2v lEDs) a string of 10 LEDs with a 100 ohm resistor can be connected to the 21 volts . you can make a 100 ohm by wiring two 200 ohms in parallel.

If you must  have 5 LEDS in a string so that you can switch in groups of 5 you can run 5 (2v lEDs) in series with a 600 ohm resistor . 3 x 200 ohms in series = 600.
The group of 10 is better because it wastes less power.

The above  should work . If you need to accurately set the brightness . you would need to use a larger value resistor to make a string dimmer or a smaller resistor to make a string brighter.