Connection between Q-algebras and noncanonical Heisenberg algebras

We stress the connection between Q((n) over cap)-algebras and noncanonical Heisenberg algebras. We prove that the known Heisenberg-Weyl algebras for the deformed harmonic oscillators are partial cases of the Lie-admissible Q((n) over cap)-algebras. We also point out the existence of a scale factor which plays an important role for the eigenvalue spectrum and for the generalized uncertainty Heisenberg relation. This factor has the form (Delta z)(Delta p) greater than or equal to (h) over bar'/2 with (h) over bar' = (h) over bar kappa and kappa > 0.