Hello My friend.
Yes, there is a meaning for each colour you have in your tartan. Sum more then others. As a Designer or tartan, we always ask, for favorite colours, and in that why they like them. Could be for the coloure of the woods you grew up in or your the colour of the roses your mom grew when you were a child. The colours can also have a very powerful meaning, as in the Jewish Tartan I did for the Rabbinical Tartan, there the colours or for the wine, gold on the alter, white, black, gray all have meaning from the teachings of the faith. You can check out Rabbinical Tartan, a full site has been made for you to see and understand. Also the Am Yisrael Chai Tartan, also a full site for its meanings and use of numbers for the thread count and colours in the 8 colours of this Holy Tartan, to be used in the Temple. I hope this will help you and if not, please contact me and I will help you further.
Namaste
Gary Berreth