Tanikqua sits next to 4 phonetic neighbors — Taniqua, Moniqua, and Tamika are the closest matches by sound. Most share Tanikqua's Modern American-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"invented name with musical -qua suffix"
"Great tide or great wave of the sea"
"beloved, of the tower"
"cassia tree, spice"
"longevity, wisdom"
"joyful, festive"
"third, threefold"
"Variant of Tiana; possibly from Tatiana (fairy queen) or a diminuti..."
Similar sound: These names share phonetic patterns with Tanikqua — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Modern American origins, giving them the same cultural heritage as Tanikqua.
Rhythm: Tanikqua is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.