Modulations and surroundings

Bianca wrote:

I didn't understand

I meant that it is not enough to consider the number of minimum chords to go from one key to another, but the number of functional paths (which in turn are made up of several chords) to go from one key to another

Bit wrote:

I meant that it is not enough to consider the minimum number of chords to go from one key to another, but rather the number of functional paths (which are themselves made up of several chords) to go from one key to another

ok, sure, in fact I don't intend to look for the shortest sequences (besides, I don't even use that algorithm), but rather those that reflect certain common cadences, or perhaps even particular cadences; that is not the limitation...