The Flaming Lips frontman had previously confirmed that he and his band were in charge of the 'First Time Ever I Saw Your Face' video, which has since been removed.
"To all the haters who think Erykah Badu has lost her mind!!! She has NOT!!! (sic)," he said on Twitter.
"The Flaming Lips take full responsibility for the making of and the content of the controversial video !!!
"We are very sorry if it has offended some of Erykah Badu's moreconservative audience! The video was intended for mature audiences and is NOT an Erykah Badu statement.. It is a Flaming Lips video!!!"
In a lengthy TwitLonger response, Badu said: "Then... perhaps, next time u get an occasion to work with an artist who respects your mind/art, you should send at least a ROUGh version of the video u PLAN to release b4 u manipulate or compromise the artist's brand by desperately releasing a poor excuse for shock and nudity that sends a convoluted message that passes as art( to some) (sic)."
"Instead, U disrespected me by releasing pics and rough vid on the internet without my approval. (Contract breech )," Badu continued.
"That is equivalent to putting out a security camera's images of me changing in the fitting room. I never would have approved that tasteless, meaningless, shock motivated video."
She added: "Consequently, brother, As a human I am disgusted with your what appears to be desperation and poor execution. And disregard for others. As a director I am unimpressed. As a sociologist I understand your type. As your fellow artist I am uninspired. As a woman I feel violated and underestimated."
Coyne responded: "Dang!!!!! @fatbellybella you really know how to do it!!!! You hatin on me has gotten the video 100,000 more views !!!LOVE LOVE LOVE."
Badu replied: "Again, you're welcomed. You Enjoy it. People need to see the greed up close. AAAAnd you DO NOT have the ass of 26 year old."
Listen to the audio of 'The First Time Ever I Saw Your Face' from Erykah Badu on Flaming Lips and Heady Fwends below: