For a 4Z the formula should be 13.6+(x*1)= Total Value for positive and.... now i discovered another question. For negative GOE, which has its own scale, I think it should be 13.6+(x*1.2)= Total Value but... while 1.2*1= right answer and 1.2*2=right answer. 1.2*3= 3.6... and the chart says 4. So... yeah how does that work? Do they round up? and if so... where is the rounding point. 2.1? 2.5? 2.9?. Did it get arbitrary at some point rather than factored?
Your question got me interested too, for some reason I always thought that as negative GOE exceeds -2 point, they calculate it in accordance with -3 scale, like 13.6+(x*4/3), but that's not the case.
They still factor it, just bearing in mind the difference in scale between -2.4 and -4, which is 1.6. I'll try to explain, but you might understand it better looking at protocols.
If we look deeper into the scores, there are basically 6 GOE grades a skater might get between 0,1, 2 and 3 (as there are 7 judge scores,with highest and lowest thrown out), so the pace is 1/7 and factored pace 1.2/7~0.17. Now for the case with -4 sudden appearance, starting from -2.4 point we just use different factor for the pace which is 1.6, mentioned above: 1.6/7~0.23. With that break of pattern figures look totally out of the blue in protocols.
GOE from judges Total GOE (factored)
14/7=2 ------------------------------2.4
15/7=...------------------------------2.4+0.23=2.63
16/7=...------------------------------2.4+0.23*2=2.86
17/7=...------------------------------2.4+0.23*3=3.09
18/7=...------------------------------2.4+0.23*4=3.31
19/7=...------------------------------2.4+0.23*5=3.54
20/7=...------------------------------2.4+0.23*6=3.77
21/7=3-------------------------------4
I guess those figures are just written into computers.
Examples (from the last WC):
Brendan Kerry got for his 4T in LP average GOE (-9/7)=1.29. We factor it normally by1.2 and get final GOE 1.29*1.2=1.54, which we see in protocol.
Denis Ten got for his 4S in LP average GOE (-20/7)=2.86. Final GOE says -3.77
Javier Fernandez got for his 4S in LP average GOE (-19/7)=2.71. Final GOE says -3.54
I hope it is understandable, although looks so clunky. I wonder why they don't just use bigger pace for quads, like 1.3 or 1.4, then maximum would be -3.9 or -4.2, would be much easier.