The Pieds
This coloration seems mostly to be acknowledged in Great Britain, although upon closer inspection of some of our so called "shaded and faded tris" in the US, it might appear that this coloration also exists in the "Colonies".
To quote from "Any True Hound Colour" by Andrew Smalley
(noted long-time British breeder)
Published July 1982 by Philip and Sylvia Tutchener (Beacott beagles)
Colored drawings are from the Smalley booklet
"This group is probably the most contraversial of all. It has
the widest range of shades and creates the most disagreement over definition. The pied
colours are the hare pied, badger pied and the lemon pied, and each is basically just one
colour with a darker shading. The darkest colour is the badger pied,the lightest is lemon
pied and the inbetween tan colour is the hare pied. The fundamental difference
between this group and the other groups is that the white is not the clear white of the
other groups but is a pale cream colour so pale that it appears white. The colour pattern
is distributed in the usual way on the body, head etc., but the predominatong colour is
still the creamy white with the pigmentation spread in patches,usually in the saddle and
side areas.
"Firstly the badger pieds-this colour has the nearest base colour to white
of all the three. In this case the colour is a mixture of black, silver and fawn hairs
within one group, creating an overall 'badger' effect. The colour is spread about
amongst the ground colour, without there being a clear definition or dividing line
between the base colour and full colour. The edges of the dense colour pattern area
fade and run out, mingling with the base colour. It is NOT a clear line as in the
other groups.
Notice that the colors fade into not only each other but into the white with no clear lines of demarcation. This is the major difference between a faded tri and a true pied.
"The hare pied follows the same pattern of distribution, but there are
fewer black hairs and more tan mixed in--not in patches, but all mixed up together, giving
the colour of a hare, again with no dividing line but the colour blending in with the
cream base coat.

"The lemon pied carries the pigment of the red group in its lighter shade
giving cream or lemon with the off white background. These are the only two colours,
but are mingled by individual hairs in the blending effect already described. These
can be so dilute as to be almost non-existent and you get particular in the lemon pied,
that you get a cream or virtually pure whitehound.
"This pied group of colours forms practically the whole of the various colours found
in present day foxhounds because colours have now been bred to each other for at least 50
years and the colour is now firmly established in many packs. However, once the
darker colours are re-introduced the lighter colours are soon lost and this is why so few
exist in the show world, with the dark tri colour being the more popular colour.
Though when the pied colour is carried in the background it can of course manifest itself
on rare occasions. One dog hound of this colour (badger pied) is behind many of our
present day show beagles, so it can come out in later generations, although it is very
very unlikely."