Sigma-Prikry forcing III: Down to Aleph_omega

We prove the consistency of the failure of the singular cardinals hypothesis at ${\mathrm{\aleph }}_{\omega }$ together with the reflection of all stationary subsets of ${\mathrm{\aleph }}_{\omega +1}$. This shows that two classic results of Magidor (from 1977 and 1982) can hold simultaneously.