Beatrix sits next to 4 phonetic neighbors — Beatrice, Bea, and Beatrix are the closest matches by sound. Most share Beatrix's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"she who brings happiness"
"gracious, dear one"
"she-god, divinity (Phoenician interpretation)"
"possibly 'free one of God' (Hawaiian/Hebrew blend)"
"gracious, God is gracious"
"from the church, basilica"
"slender"
"mighty in battle, strength in battle"
"pure (from Catherine via Caitlin)"
"torch of light (from Eleanor)"
"precipitation, water from the sky"
"sounding together"
"knight, cavalry rider"
"modern blend of Jane and Vanessa suffix"
"bright, shining one"
"whole, universal"
"God will increase"
"calla lily flower"
"house of the spirit of Ptah"
"light, bright, shining torch"
"venerable, consecrated"
Similar sound: These names share phonetic patterns with Beatrix — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Beatrix.
Rhythm: Beatrix is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.