Color Reference of NTSC Formula?

["Bryan Parkoff" <nospam@nospam.com>]

Hello,

    I try to think and build a formula how to construct color using artifact 
color for Apple II Video.  I can only concentrate three pixels at one 
horizontial line at this time.  It has 12 clock cycles out of 14MHz to 
display 12 monochrome dots while 3 clock cycles out of 3.58MHz displays 
color on group of four dots.
    A group of four dots is called phase shift.  It has the degree between 0 
and 360.  We have the information to obtain number of degree from the phase 
shift.  It is only the way to build a formula which it allows to translate 
number of degree into RGB.  First of all, we have YIQ formula, but YIQ 
formula does not have number of degree.  It can't be used to convert to RGB. 
IQ is like R - Y, B - Y, R + Y, and B + Y, but it never has green signal. 
Then, we have to add R +/- Y and B +/- Y together to create G +/- Y.
    R +/- Y, G +/-Y, and B +/-Y are the RGB signals which they are sent to 
the beam gunner for light.  When you use 10X to 30X magnifier, you may be 
able to see R, G, and B dot lights through the monitor window.
    I thought that RGB signals might be used to translate to the individual 
RGB pixels without converting from YIQ to RGB formula.
    Do you know the formula with cos / sine and the number of degree to be 
translated into RGB signals?  I have spent time researching using Google 
search while I am trying to find color reference 3.58MHz information.  I did 
see one of these formula, but it is involved with beam gunner only.  It does 
not tell how formula can be used from phase shift with number of degree.
    Please let me know if you know the formula.

Bryan Parkoff