Neopixel Mode change with a button

#define PIN 6

What's this for?

controlled by a button, using the internal pullup

It's been my experience that buttons are great at holding shirts closed, but don't work for shit as input devices. Switches don't work worth a damn at holding shirts closed, but they do make great input devices.

  if(digitalRead(4) == LOW && counter < 6)

Will counter ever NOT be less than 6? If not, why bother testing?

Where do you actually use counter to define what the strip should do?