Kaan sits next to 3 phonetic neighbors — Khan, Kane, and Jan are the closest matches by sound. Most share Kaan's Turkic-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"ruler, lord, king"
"God is my judge"
"vow to God, dedicated"
"patient, enduring"
"excellence, doing good"
"cornerstones, supports"
"son of Ay, moon's son (via Turkish)"
"the khan, tribal chief"
"friend, brother"
"lion"
"safe, secure"
"hero, valiant"
"those devoted to doing good"
"joy, happiness"
Similar sound: These names share phonetic patterns with Kaan — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Turkic origins, giving them the same cultural heritage as Kaan.
Rhythm: Kaan is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.