Gavyn sits next to 4 phonetic neighbors — Gavin, Kevin, and Calvin are the closest matches by sound. Most share Gavyn's Welsh cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"white hawk, battle hawk"
"fortunate protector"
"wide meadow, wide island"
"air, song, melody"
"sickle (curved blade) — describing the bird's form"
"gift of God"
"Yahweh is my God"
"gift of God (folk etymology)"
"son of Jay, supplanter"
"short form of Cleopatra"
"place of the blue dye plant"
"beloved friend"
"hunter's woodland"
"a Breton, from Brittany"
"steep meadow or woodland clearing"
"beloved, dear"
"flower bud casing"
"God is my help (from Hebrew Ezra) + real/royal suffix"
"cup, goblet"
"ruler of the estate"
Similar sound: These names share phonetic patterns with Gavyn — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Welsh/Celtic origins, giving them the same cultural heritage as Gavyn.
Rhythm: Gavyn is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.