Hyrum sits next to 4 phonetic neighbors — Hiram, Cyrus, and Tyrus are the closest matches by sound. Most share Hyrum's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"exalted brother, my brother is high"
"flower, flourishing"
"son of Diot, follower of Dionysus"
"of the Tiber River, son of the Tiber"
"wheel maker, craftsman"
"hilltop settlement of the friend"
"fruitful hill"
"modern elaboration of Omari"
"three (numeric)"
"settlement in the brushwood"
"modern coined name, Z + sound"
"God is gracious"
"scholar, teacher (from Dutch Schuyler)"
"royal dignity, greatness, grandeur"
"of the trees"
"brave"
"belonging to Christ"
"son of the rock"
"beacon hill"
"brilliant, shining"
"bold, brave, daring"
Similar sound: These names share phonetic patterns with Hyrum — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew origins, giving them the same cultural heritage as Hyrum.
Rhythm: Hyrum is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.