Hakan sits next to 4 phonetic neighbors — Hagen, Hakon, and Hector are the closest matches by sound. Most share Hakan's Scandinavian cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"emperor, supreme ruler"
"one worthy of praise"
"good, benevolent"
"the chosen one, the elect"
"army protector"
"gift of Yahweh"
"brave chief, young hero"
"rainbow"
"possessing goodness"
"gnosis, spiritual knowledge"
"joyful as the moon"
"moonlit ruler, bright as the moon"
"short; courtly"
"God is gracious"
"peaceful ruler"
"pure, chaste"
Similar sound: These names share phonetic patterns with Hakan — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Turkic (Kagan) origins, giving them the same cultural heritage as Hakan.
Rhythm: Hakan is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.