Atziri sits next to 4 phonetic neighbors — Aziri, Atzi, and Atziri are the closest matches by sound. Most share Atziri's Nahuatl-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"of the water"
"elegant, lovely"
"circle, cycle"
"divine wisdom, celestial intelligence"
"geographic place name used as personal name"
"I love you; beloved"
"God is gracious"
"origin unclear, possibly Taíno or Arabic"
"beautiful, moon-like"
"my God is an oath, pledged to God"
"from Brisa, meaning breeze"
"honorable, much snow"
"ground, soil"
"striving, rival"
"from Jessenia palm genus"
Similar sound: These names share phonetic patterns with Atziri — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Nahuatl origins, giving them the same cultural heritage as Atziri.
Rhythm: Atziri is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.