This should work on UNIX-like systems too, despite the ".bat" extension. If it doesn't, you can try this:
sh ZebraTuner.bat
or start the .jar directly:
java -jar zebratuner.jar
Depending on your computer's configuration, double-clicking on the .jar file in some file manager might work too.
Keep in mind that it's not enough to have the microphone connected to your PC. The signal coming from the microphone must be selected as the source for sound recording. This is done by a mixer / "volume control" application.