Roux sits next to 4 phonetic neighbors — Rue, Drew, and Lou are the closest matches by sound. Most share Roux's French-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"reddish-brown, russet-colored"
"from the ancient city of Tyre"
"lively, merry"
"the Lord is salvation"
"land of the Celtic people"
"steadfast, strong"
"slender, narrow (from Irish Caolan)"
"from Renton, town name"
"roe deer wood"
"son of Jack, God is gracious"
"modern coined name with rhythmic beauty"
"from the gray hill"
"heart, mind (from Hugh root)"
"variant of Terrell; earth puller"
"son of the wave, born of the sea"
"drawn out of the water"
"priceless, praiseworthy"
"noble, exalted, lofty"
"remembered by the Lord"
"well-formed, handsome"
Similar sound: These names share phonetic patterns with Roux — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have French origins, giving them the same cultural heritage as Roux.
Rhythm: Roux is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.