We give an explicit raising operator formula for the modified Macdonald polynomials
$\tilde {H}_{\mu }(X;q,t)$, which follows from our recent formula for
$\nabla $ on an LLT polynomial and the Haglund-Haiman-Loehr formula expressing modified Macdonald polynomials as sums of LLT polynomials. Our method just as easily yields a formula for a family of symmetric functions
$\tilde {H}^{1,n}(X;q,t)$ that we call
$1,n$-Macdonald polynomials, which reduce to a scalar multiple of
$\tilde {H}_{\mu }(X;q,t)$ when
$n=1$. We conjecture that the coefficients of
$1,n$-Macdonald polynomials in terms of Schur functions belong to
${\mathbb N}[q,t]$, generalizing Macdonald positivity.