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"
"bright fame, renowned"
"eagle rule, power"
"fairy"
"gray fort or enclosure"
"God is my oath"
"combination of Ra and dene (valley)"
"God is gracious"
"fertile plain"
"gift of God"
"wise counsel, gentle (ewe)"
"variant of Chanel; pipe, canal"
"shining renown"
"anointed one"
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.