Rodrigo sits next to 4 phonetic neighbors — Rodrigue, Roderick, and Rodrigues are the closest matches by sound. Most share Rodrigo's Spanish-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"famous ruler"
"noble, strong"
"God will strengthen"
"head of hair"
"wealthy guardian"
"God is with us"
"of Mars, dedicated to Mars"
"birth, nativity"
"river"
"to hold fast, to restrain"
"of Mars, consecrated to the god of war"
"famous brilliance"
"battle cry"
"manly, brave"
"Free"
"angel; messenger of God"
"the greatest, superlative"
"sun"
Similar sound: These names share phonetic patterns with Rodrigo — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Visigothic/Germanic origins, giving them the same cultural heritage as Rodrigo.
Rhythm: Rodrigo is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.