Deni sits next to 5 phonetic neighbors — Denny, Penny, and Jenny are the closest matches by sound. Most share Deni's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"follower of Dionysus"
"eagle rule, power"
"Gaelic form of Jane/Jean"
"gray fort or enclosure"
"pet form of Robert or Roberta"
"nickname, playful diminutive"
"American creative invention"
"gift of God"
"anointed one"
"fairy"
"free woman (via Chanel naming tradition)"
"shining renown"
"fertile plain"
Similar sound: These names share phonetic patterns with Deni — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Deni.
Rhythm: Deni is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.