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Tensor type data are used recently in various application fields, and then atypical rank is important. Let $3\leq m\leq n$. We study typical ranks of$m\times n\times (m-1)n$ tensors over the real number field. Let $\rho$ be theHurwitz-Radon function defined as $\rho(n)=2^b+8c$ for nonnegative integers$a,b,c$ such that $n=(2a+1)2^{b+4c}$ and $0\leq b<4$. If $m \leq \rho(n)$, thenthe set of $m\times n\times (m-1)n$ tensors has two typical ranks$(m-1)n,(m-1)n+1$. In this paper, we show that the converse is also true: if $m> \rho(n)$, then the set of $m\times n\times (m-1)n$ tensors has only onetypical rank $(m-1)n$.

Typical rank of $m\times n\times (m-1)n$ tensors with $3\leq m\leq n$ over the real number field