YOU SAID:

My name is unheard of, thus I cannot speak.

INTO JAPANESE

私の名前は前例がないので、私は話すことができません。

BACK INTO ENGLISH

My name is unprecedented and I can not speak.

INTO JAPANESE

私の名前は前例がないので話せません。

BACK INTO ENGLISH

I can not speak my name because it is unprecedented.

INTO JAPANESE

私の名前は今までにないので話せません。

BACK INTO ENGLISH

I can't speak my name because it has never been.

INTO JAPANESE

私の名前を話すことはできません。

BACK INTO ENGLISH

I can not speak my name.

INTO JAPANESE

私は自分の名前が話せません。

BACK INTO ENGLISH

I can not speak my name.