Rhodri sits next to 4 phonetic neighbors — Rodney, Roderick, and Rory are the closest matches by sound. Most share Rhodri's Welsh cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"ruler of the wheel, wheel king"
"pure, innocent"
"star"
"born at dawn or daylight"
Similar sound: These names share phonetic patterns with Rhodri — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old Welsh rhod + rhi origins, giving them the same cultural heritage as Rhodri.
Rhythm: Rhodri is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.