The English two-word phrase "soul resonance" can be translated in to a three-word phrase in Japanese. It translates to "Tamashi no kyomei".
Japanese to me, the words mean too many things and this one is crazy. Shinyuu means, Soul mate, Best freind or Parent. Shinyuu means a soul mate that's not really love version. More of a soul freind.
I believe it's "Tamashi" Though my spelling could be wrong.
kokoro - this can also mean heart
You can say 取り付かれた霊 => 'toritsukareta rei'.
Tamashī
The cast of Soul Resonance - 2012 includes: Taj Mahal
血液の共鳴 (Ketsueki no kyōmei)
kurai kokoro
'Kirawareta tamashii'.
Tamashī no shakai
Tamashī no dorobō
Tamashī no hanryo
心魂 Shinkon
i dont k now
T.M. Revolution
"Resonance" by T.M.Revolution .
Doku yo na kokoro