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Allan, using your definition of a primary color, one that cannot be mixed from another, there are more than 40 colors out at the extremes of chroma, and to mix them correctly one must start with colors as high or higher in chroma, and as close as possible to the target. Again, Munsell is based on pigment, not theory. We paint with pigments, not light.
There are many color theories, so I am not certain which theory you refer to when you say, "My blue is a bit reddish and my red is bluish plus a little yellow and so on, because I use the availeble pigments Ultramarine blue and Crimson red and I have never thought about them as primary's - but I know where they are placed on the theoretical color system."
There are reds -- such as in a strongly lit dark red rose -- that cannot be painted from any crimsom available, unless the painter is willing to accept lower chroma than is in the rose. Although ultramarine is very useful there are blues that cannot be painted from it.
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