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There is a number of other discrepancies between the
tatrapyrrole recommendations ("TP";
http://www.chem.qmul.ac.uk/iupac/tetrapyrrole/\) and Revised
Section F: Natural Products and Related Compounds ("RF";
http://www.chem.qmul.ac.uk/iupac/sectionF/\), most notably

spelling "bilin" [TP] vs "biline" [RF]
the use of linear tetrapyrrole parents of various degrees of
saturation
"bilane" [TP] vs "5,10,15,22,23,24-hexahydro-21H-biline" [RF]
"bilene-a" [TP] vs "5,10,22,23-tetrahydro-21H-biline" [RF]
"bilene-b" [TP] vs "5,15,22,24-tetrahydro-21H-biline" [RF]
"biladiene-ab" [TP] vs "5,23-dihydro-21H-biline" [RF]
"biladiene-ac" [TP] vs 10,23-dihydro-22H-biline" [RF]

thus bilirubin can be named either as
"8,12-bis(2-carboxyethyl)-2,7,13,17-tetramethyl-3,18-divinylbiladiene-ac-1,19(21H,24H)-dione"

[according to TP] or
"2,7,13,17-tetramethyl-1,19-dioxo-3,18-divinyl-1,10,19,22,23,24-hexahydro-21H-biline-8,12-dipropanoic
acid" [according to RF]

Kirill