Rhyan sits next to 4 phonetic neighbors — Ryan, Riana, and Ryann are the closest matches by sound. Most share Rhyan's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"little ruler, little king"
"light, radiance"
"God is gracious"
"invented/unique"
"sudden memory of a beloved"
"noble, exalted, high"
"from the Wylye River"
"peace"
"beautiful, graceful"
"sparkling, to flash or sparkle"
"shining with glory"
"first growth of spring"
"pure, beloved"
"God is my father"
"gift of God (short form of Dorothy/Theodora)"
"intoxicating, she who intoxicates"
"home in a grove, elevated terrain"
"goddess of concord and harmony"
"holy (folk association)"
"glory of the father (short form of Cleopatra)"
"raven meadow"
Similar sound: These names share phonetic patterns with Rhyan — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Irish origins, giving them the same cultural heritage as Rhyan.
Rhythm: Rhyan is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.