I should point out that Dr Carr's tables are based on the results of tetraploid crosses that he made. His observed colour frequencies are specific to those crosses (mainly of his own seedlings) and do not necessarily predict the results of crosses made by others (using similar flower colours) very well.
I will give one example.
Dr. Carr found that crosses of red x yellow frequently gave peach seedlings and frequently gave yellow seedlings. Red seedlings from such crosses were uncommon. That is unusual. If one purchases a registered red cultivar and crosses it with a purchased registered yellow cultivar the typical result would be that all the seedlings will be some shade of red (including possibly muddy or dirty reds). That will be because often hybridizers have been refining the red colour by crossing reds with reds for generations and crossing yellows with yellows for generations.
Dr. Carr's results can be explained by looking at what colours he crossed in his hybridizing. For example, he crossed Allafrill (pink) with Study in Scarlet (blood red) so some of his reds would carry pink (hidden). He crossed Ed Murray (black red) with Betty Warren Woods (cream yellow) so some of his reds would carry yellow (hidden). He crossed Ed Murray with Dance Ballerina Dance (apricot pink) so some of his reds would carry apricot or peach (hidden). So if he crossed a red (yellow hidden) with a yellow some of the seedlings would be yellow.
We might expect that if he crossed a red (hidden yellow) with another red (hidden yellow) some of his seedlings would have been yellow. But his tables indicate that red x red frequently produced red seedlings with pink and melon seedlings uncommon but no yellows. So he probably never made that cross although he did make the crosses of red (hidden pink) with red (hidden pink) and red (hidden melon) with red (hidden melon).
Dr. Carr's tables are useful as a starting point but one should not necessarily expect to get the same sorts of results as he did because he made specific types of crosses that produced seedlings with specific ancestries and carrying particular combinations of colour characteristics that would not be present in most daylily cultivars.
To get a better idea what a particular cross may produce one needs to study the ancestry of the cultivars chosen to be the parents. That includes grandparents, great grandparents and even further back.
