It is shown that if, from the starting point of a universal rank-one mass
matrix long favoured by phenomenologists, one adds the assumption that it
rotates (changes its orientation in generation space) with changing scale, one
can reproduce, in terms of only 6 real parameters, all the 16 mass ratios and
mixing parameters of quarks and leptons. Of these 16 quantities so reproduced,
10 for which data exist for direct comparison (i.e. the CKM elements including
the CP-violating phase, the angles θ12,θ13,θ23 in
ν-oscillation, and the masses mc,mμ,me) agree well with
experiment, mostly to within experimental errors; 4 others (ms,mu,md,mν2), the experimental values for which can only be inferred, agree
reasonably well; while 2 others (mν1,δCP for leptons), not yet
measured experimentally, remain as predictions. In addition, one gets as
bonuses, estimates for (i) the right-handed neutrino mass mνR and (ii)
the strong CP angle θ inherent in QCD. One notes in particular that the
output value for sin22θ13 from the fit agrees very well with
recent experiments. By inputting the current experimental value with its error,
one obtains further from the fit 2 new testable constraints: (i) that
θ23 must depart from its "maximal" value: sin22θ23∼0.935±0.021, (ii) that the CP-violating (Dirac) phase in the PMNS would be
smaller than in the CKM matrix: of order only ∣sinδCP∣≤0.31 if
not vanishing altogether.Comment: 37 pages, 1 figur