The primary purpose of the study is to evaluate the safety and tolerability of multiple intravenous (IV) doses of DYNE-101 administered to participants with Myotonic Dystrophy Type 1 (DM1). The study consists of 4 periods: A Screening Period (up to 8 weeks), a Placebo-Controlled Period (24 weeks), a Treatment Period (24 weeks) and a Long-Term Extension (LTE) Period (168 weeks) in both multiple-ascending dose (MAD) and dose expansion cohorts.