Dyani sits next to 4 phonetic neighbors — Diana, Dianna, and Deanna are the closest matches by sound. Most share Dyani's Native American cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"deer"
"lathe worker, one who turns wood"
"torch of light"
"manly, courageous"
"gentle wind"
"graceful, favored (from Ana/Hannah)"
"queen"
"Roman god of war"
"meadow near the pool"
"battle worthy"
"the lemon fruit"
"free, independent"
"bright, shining light"
"jasmine flower"
"grace, eternal beauty"
"pure, chaste (variant of Diana)"
"victory, honor"
"gift of Yahweh"
"teacher; one who is strong"
"blooming, flourishing"
Similar sound: These names share phonetic patterns with Dyani — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Sioux/Lakota origins, giving them the same cultural heritage as Dyani.
Rhythm: Dyani is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.