According to Greek mythology, Apollo, the patron god of music and poetry, is often associated with a lyre, the musical instrument. Coincidentally the shape of a lyre is remarkably similar to the front of a scooter. Lyres are also associated with the Apollean virtues of moderation and equilibrium (both of which scooterists possess). (see wikipedia: Apollo and lyre.) The colors can be adjusted depending on where the logo is used. I designed this with the badge foremost in mind: black and white will be striking against any background paint color, from fluorescents to earth tones.
A variation on the lyre theme featuring "Apollo Scooters" and a different treatment for the headlamp – the top of the mark becomes more scooter-like. The white would also work as chrome or printed as a metallic ink.