Use 'indefinably' when you're trying to express a quality that can't be pinned down or easily explained. Her smile had an indefinably mysterious charm.
Pro Tip 2/3
Subtle Nuance
'Indefinably' suggests a nuance that's felt rather than concretely identified. There was something indefinably poignant about the melody.
Pro Tip 3/3
Cultural Context
Be mindful that what seems 'indefinably' unique may be culturally specific and clear to others. To foreigners, the local customs felt indefinably exotic.