Carmen sits next to 4 phonetic neighbors — Carmine, Damien, and Roman are the closest matches by sound. Most share Carmen's Spanish-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"song, poem"
"short form of Orlando, famous land"
"trustworthy, dependable"
"priceless one, beyond praise"
"farmer, earth-worker"
"powerful peace"
"peace power"
"venerable, revered"
"God's salvation"
"consecrated by augury"
"diminutive of Manuel"
"Yahweh is gracious"
"carrier of the anointed one"
"bright warrior, famous warrior"
"of the forest, wooded"
"fiery, ardent"
"one who helps or aids"
"gracious, honorable"
"bright fame, shining might"
Similar sound: These names share phonetic patterns with Carmen — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Carmen.
Rhythm: Carmen is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.