Modulation is a shift to tonal center within movement. It' often used to help establish a form.
What's the difference between modulation and tonicization? Tonicization is a tiny modulation (short time with 2 or 3 chords). Modulation is more and you need cadence.
How to determine possible triads?
Write lead sheet symbols for diatonic triads in:
Let say current key is Bb major:
Let's go to C minor:
The only two options for common chords are C major and Eb major.
Common-Chord is smooth than using dominant of the new key.
| C | G7/F | C/E B°/D C | C/G G | C F#°/A G/B | Am/C | D7 | G || C: I V42 I6 vii°6 I I64 V I vii°6/V V6 vi6 V7/V V G: IV vii°6 I6 ii6 V7 I