The a-hoo without the ga typically results from the adjusting screw being too tight. If your horn has been working recently, try backing the adjusting screw off 1-2 clicks. If the horn hasn't been sounded in a few months, do as follows:
If you don't know the last time the horn was oiled, remove the cover and oil the felts. Just a drop will do ya; you want to get the oil as close to the shaft as you can. Replace the cover.
Back out the adjusting screw a full turn, or as much as is needed to get the ratchet off the diaphragm completely. Hold down the horn button and make sure you can hear the armature spinning freely. Keep holding the button. Let the armature spin 30 seconds or so. You should hear it speed up and then hold a mostly-constant speed. Once that happens, release the horn button. Incrementally turn the adjusting screw in until you hear the sound you want, then stop.