Itzae sits next to 3 phonetic neighbors — Itzaly, Itzel, and Itzayana are the closest matches by sound. Most share Itzae's Mayan-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"rainbow woman"
"noble kind, of noble nature"
"graceful, favored one"
"water forever, eternal waters"
"priceless, inestimable"
"purity, beauty"
"slope, hillside"
"saw, serrated edge"
"free woman, free person"
"from Sonora, the desert region"
"freshness, purity"
"heavenly, sacred"
"gracious, dear, beloved (via Slavic mila)"
"my God has answered"
"indigenous Mexican name of Michoacan origin"
"rosary, garland of roses"
"grace, favor (from Ana/Hannah)"
Similar sound: These names share phonetic patterns with Itzae — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Mayan origins, giving them the same cultural heritage as Itzae.
Rhythm: Itzae is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.