If we exclude purple from the color wheel, the remaining major or basic colors would be four. Here are the names of each color:
1. Red
2. Blue
3. Yellow
4. Green
In this scenario, the secondary colors that can be derived from the combination of these four major colors would be:
1. Orange (a mixture of red and yellow)
2. Violet (a mixture of blue and red)
So, without including purple, the color wheel would consist of red, blue, yellow, green, orange, and violet.