This focuses on a single 4/4 comparison with no rests and just two staves:
- Dotted 1/8 pattern (3/16 steps) realigns with the bar every 3 measures (ties used across barlines).
- Eighth-note triplets (1 bar) realign within the bar and repeat each measure.
Mathematically:
- A 4/4 bar = 16 sixteenths.
- Dotted 1/8 = 3 sixteenths → LCM(16, 3) = 48 sixteenths = 3 measures to land back on beat 1.
- Triplet eighths fit exactly in each bar, so they resolve every measure.