Norma sits next to 4 phonetic neighbors — Nora, Naomi, and Lorma are the closest matches by sound. Most share Norma's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"rule, standard"
"wise messenger, prophet bird"
"sun goddess, solar"
"slope, hillside"
"strength, power (associated meaning)"
"golden one"
"grace, favor from God"
"beloved, wished-for child"
"grace, God has been gracious"
"unique, noble"
"battle king"
"nickname of affection for G-names"
"noble kind, of noble nature"
"golden ruler"
"gift of God (short form of Dorothy/Theodora)"
"Woden's day"
"from the island of Cyprus"
"delight, gladness"
"illustrious, shining"
"free woman, free person"
Similar sound: These names share phonetic patterns with Norma — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Norma.
Rhythm: Norma is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.