-profile is not restricting the total ink density to the limit of the profile

[alpha2omega]

Hey,
I'm trying to limit the total ink density of a CMYK colour space tiff to 240%.
I tried

convert original.tiff -profile profile.icc limitedInkDensity.tiff

but it does not change the total ink density which I checked using

identify -verbose limitedInkDensity.tiff

I have also tried to remove all existing profiles on the tiff before adding the new one using the following command

convert original.tiff +profile "*" -profile profile.icc limitedInkDensity.tiff

but this didn't help.

I'm using ImageMagick-6.9.1-Q16

[Edit] I have also tried setting the -black-point-compensation using

convert original.tiff -black-point-compensation -profile profile.icc limitedInkDensity.tiff

Hope you can help

Thanks

[fmw42]

I am not a photographer or printer, but I do not think any of the above will control ink density. The only possible way that I can think might work is to dither the image.