Brief summary of current framework.

Q_m = h/c^2     kg s

Q_m is the quantum of relative mass, it is the definition of the kg for for the mass of a photon at 1Hz that maps directly between frequency and mass.   This is more fundamental than h because it just has units for mass and time.  

mass = Q_m * frequency      frequency = mass / Q_m

f_d = G/(h/c)   Hz

This is a default value that scales with the changes to mass.  It is the default frequency of gravity.  Q_m *f_d is the default mass in the F=ma formula that is G.

m_p = sqrt (c^2/f_d)   

is defined to have units of kg, but really has units of ms^-1/2
This does change with redefinition of the mass unit, it also changes with redefinitions of the meter unit.  At c=1 then m_p = sqrt (1/f_d) 

h = Q_m * c^2 

h is not fundamental.  it is made up of the unit definition for the kg and the unit definition for the meter. 

E = Q_m * f *c^2

This is the standard E =mc^2 formula.  The mass is the frequency, the Q_m just scales the mass to our definition of the kg.

p = Q_m * f * c

Similar in pattern to G, but this frequency is the observed frequency for the photon

m = Q_m * f 

This is the observed mass of a photon by the frequency. 

G = Q_m * f_d * c

G itself is just the default force formula  F = ma for when the ratio m1m2/r^2 =1

F = Q_m * f_d * c * m1 * m2 / (4 *pi * r^2)

G just has the extra units to make m1m2/r^2 dimensionless.

If you rescale the kg so that 1kg = 1Hz photon mass and rescale c=1 meter then

1kg = 1Hz = 1/1meter

At this unit scaling you can plainly see that there is a 1:1 correspondence between mass, frequency, and wavelength.  They are identical when the units are scaled to unity.