How would water waves behave in partial gravity?

Would an "indoor" pool of water on the Moon or on Mars behave differently than on Earth?
Depends on what you are observing.

Would the waves caused by a splash be higher or lower? The waves would be higher.

Would they propagate faster or slower? They would propagate at the same rate.

Would boyance be different? No, because buoyancy depends on the displacement of mass.

what would it be like to shower in slowly falling water? How can anyone here answer this since only a few people (<0.001%) have experienced this.