Rita sits next to 4 phonetic neighbors — Rida, Rheta, and Greta are the closest matches by sound. Most share Rita's Spanish-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"pearl"
"place of linden trees"
"slender, graceful"
"symbol of enduring affection and daily remembrance"
"timid (from Bilhah)"
"from the lake, lake dweller"
"friend"
"from the River Slaney"
"brightness, dawn light"
"cheerful"
"beloved, wished-for child"
"son of Adam"
"goddess of spring, month of May"
"a falling, a flowing"
"Our Lady of Mercies (Marian title)"
"beloved small violet"
"divine inspiration, beautiful"
"modern coined name"
"craftsman who makes wooden vessels"
"immortal, eternal"
"star"
Similar sound: These names share phonetic patterns with Rita — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin via Greek origins, giving them the same cultural heritage as Rita.
Rhythm: Rita is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.