Kaiyr sits next to 3 phonetic neighbors — Kaer, Kair, and Kairu are the closest matches by sound. Most share Kaiyr's Kazakh/Arabic khayr-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"Generous, good, beneficent"
"God is gracious"
"divine gift"
"the concealed god"
"marrow of the sea, sea fortress"
"hidden nook, secret alcove"
"powerful ruler of the household"
"descendant of Caiside"
"son of Jack"
"noble, honorable"
"grateful, thankful to God"
"variant of Garrett/Gerald"
"achiever; one who attains"
"keeper of enclosed parkland"
"crown, wreath"
"nobleman, warrior"
"great adviser"
"son of Hays, hedged area"
"my God is Yahweh"
"Lukes town"
"forest friend, house friend"
Similar sound: These names share phonetic patterns with Kaiyr — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Kazakh/Arabic khayr origins, giving them the same cultural heritage as Kaiyr.
Rhythm: Kaiyr is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.