On the ordering of $n$-modal cycles

The forcing relation on $n$-modal cycles is studied. If $\alpha$ is an $n$-modal cycle then the $n$-modal cycles with block structure that force $\alpha$ form a $2^n$-horseshoe above $\alpha$. If $n$-modal $\beta$ forces $\alpha$, and $\beta$ does not have a block structure over $\alpha$, then $\beta$ forces a $2$-horseshoe of simple extensions of $\alpha$.