A bugle has no valves to alter its resonant frequencies, Bugle players are able to play the following series of notes

G3, D4, G4, B4, D5, F5, G5; This is equivalent to a harmonic series based on the length of the tubing, but the fundamental is never used.

If you were to add a valve to this bugle that lowers the frequency by a half step, you would then have the following series of notes

F#3, C#4, F#4, A#4, C#5, E5, F#5

Continue writing these notes series, decreasing 1/2 step at the time. If you want to have every pitch in the chromatic scale from G3 to G4.

How many different series do you need counting the two first series that are given above?

The trumpet has 3 valves. If none of the valves are open, that combination can be written as 0,0,0. If only the first valve is open, that combination can be written as 1,0,0.

Write out all the possible combinations of open and closed valves.

How many combinations were there?

Will that be enough to produce all of the notes that you need?