Can we "split" our programming at times to put a more localized program on the FM translator while broadcasting something different on the main station?
FM Translators must broadcast everything that is being broadcast on the main (primary) station.
The only exceptions are as follows:
An FM Translator authorized to rebroadcast a Class D AM broadcast station may originate programming on the translator if the AM station only during the period that the AM station goes off the air at night. They can't originate separate programming while the AM station is on the air.

