I re-wrote the program to produce the opposite waveform, but it is the same waveform:
LOW GPIO.0 'INITIAL CONDITIONS
LOW GPIO.1

START:
HIGH GPIO.1
PAUSEUS 4168 ' HIGH TIME
LOW GPIO.1
PAUSEUS 4167 'DEAD TIME, BOTH LOW
HIGH GPIO.0 'SETS PIN 7 HIGH
PAUSEus 4168 'FOR 4.168 MILLISECONDS
LOW GPIO.0
PAUSEUS 4167 'DEAD TIME

GOTO START '60 HZ FREQUENCY

END

Since both programs produce the same waveform, I guess my only option is to turn the LEDs around!
My circuit is only for testing. If I were driving solid state relays they would burn up when both were on.