  We focus on the importance of $q$ moments range used within multifractal
detrended fluctuation analysis (MFDFA) to calculate the generalized Hurst
exponent spread and multifractal properties of signals. Different orders of
detrending polynomials are also discussed. In particular, we analyze
quantitatively the corrections to the spread of generalized Hurst exponent
profile $\Delta h$ allowing to extend the previously found by us formulas for
large $q$, describing the level of artificial multiscaling in finite signals,
to arbitrary narrower range of $q$ moments used in MFDFA technique in distinct
applications.
