Demitri sits next to 3 phonetic neighbors — Dmitri, Demetrius, and Dimitri are the closest matches by sound. Most share Demitri's Greek-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"earth mother follower"
"God is gracious"
"vow to God, dedicated"
"gift of God"
"third"
"my God has helped"
"peace, world"
"to set, to place, to establish"
"of the gods"
"of the earth"
"victory of the people"
"king, ruler"
"thin-lipped"
"modern variant of Milan/Milen"
"stone marker, boundary"
Similar sound: These names share phonetic patterns with Demitri — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Demitri.
Rhythm: Demitri is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.