- #1
Thetom
- 59
- 0
Hi, how can I work out the relationship between percentages of a whole, when one of those percentages changes? I'm rubbish at maths and can't really explain myself properly, but I'll do my best. Here's the problem:
I want to be able to workout the percentage of component colours in any mix of colour, and then change the amount of one component but keep the ratio between the other colours the same. I need to do this a hundred times, but here is just one as an example:
I have a Purple (P) that I have mixed using...
30% (W)hite
55% (C)yan
11% (M)agenta
4% (Y)ellow
I've tried to express this mathematically (and probably unconventionally) as...
P = 30%W + 55%C + 11%M + 4%Y
Now I need to mix a new colour (D) by decreasing the amount of white by half while keeping the relation between the other colours the same. I then need to find the percentages of these component colours to allow me to mix the new colour. Sooo... (30%W - 50% = 15%W)
D = 15%W + ?%C + ?%M + ?%Y
C = ?%
M = ?%
Y = ?%
How can I find out the percentages of CMY once I have decrease W by a certain factor (in this case 50%)? It's important that the ratio between the other colours doesn't change, just their ratio to white.
I've tried to explain my problem as clearly as I can, but I'm rubbish at maths. If it's not clear what I mean, please let me know. I can go into more detail, or include some diagrams which will allow me to explain it more clearly.
Any help with this practical problem would be very, very... helpful :)
I want to be able to workout the percentage of component colours in any mix of colour, and then change the amount of one component but keep the ratio between the other colours the same. I need to do this a hundred times, but here is just one as an example:
I have a Purple (P) that I have mixed using...
30% (W)hite
55% (C)yan
11% (M)agenta
4% (Y)ellow
I've tried to express this mathematically (and probably unconventionally) as...
P = 30%W + 55%C + 11%M + 4%Y
Now I need to mix a new colour (D) by decreasing the amount of white by half while keeping the relation between the other colours the same. I then need to find the percentages of these component colours to allow me to mix the new colour. Sooo... (30%W - 50% = 15%W)
D = 15%W + ?%C + ?%M + ?%Y
C = ?%
M = ?%
Y = ?%
How can I find out the percentages of CMY once I have decrease W by a certain factor (in this case 50%)? It's important that the ratio between the other colours doesn't change, just their ratio to white.
I've tried to explain my problem as clearly as I can, but I'm rubbish at maths. If it's not clear what I mean, please let me know. I can go into more detail, or include some diagrams which will allow me to explain it more clearly.
Any help with this practical problem would be very, very... helpful :)