  The framework of multifractal analysis (MFA) is distilled to the most
sophisticated one. Within this transparent framework, it is shown that the
harmonious representation of MFA utilizing two distinct Tsallis distribution
functions, one for the tail part of probability density function (PDF) and the
other for its center part, explains the recently observed PDF's of turbulence
in the highest accuracy superior to the analyses based on other models such as
the log-normal model and the $p$ model.
