Rumi sits next to 4 phonetic neighbors — Lumi, Remy, and Mimi are the closest matches by sound. Most share Rumi's Japanese cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"lapis lazuli beauty"
"my beautiful one"
"blind, heaven's gate"
"princess, noble"
"silver-bearing"
"journey, day's travel"
"modern phonetic invention"
"beautiful, graceful"
"light, splendor"
"beloved, wished-for child"
"a falling, a flowing"
"light, illumination"
"amber gemstone"
"like a storm, tempestuous"
"blind, Cecilias clan"
"drained lake"
"feminine form of John"
"sky, atmosphere"
"from Hadria (short for Adriaan)"
"scent of paradise"
"strong"
Similar sound: These names share phonetic patterns with Rumi — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Japanese 瑠美 origins, giving them the same cultural heritage as Rumi.
Rhythm: Rumi is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.