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1. Attracting and holding interest as if by a spell
   "read the bedtime story in a mesmerising voice"
   - hypnotic, mesmeric, mesmerizing, spellbinding

1. Attract strongly, as if with a magnet
   "She mesmerised the audience with her tricks"
   - magnetize, mesmerize, magnetise [Brit], bewitch, spellbind
    
2. Induce hypnosis in
   - hypnotize, hypnotise [Brit], mesmerize

See also: attractive, Mesmer

Type of: calm, charm, influence, sedate, tempt, tranquilize [N. Amer], tranquillise [Brit], tranquillize