Martin & Doran (2023: 44, 45):
By way of summarising our discussion we extend Table 1 above as Table 3 below, including English examples and filling out our paradigm for ideational structure.The two central columns in Table 3 oppose non-recursive systems realised by non-iterative structures to recursive systems realised by iterative structures. This opposition is cross-classified by experiential as opposed to logical structure; logical structure is further classified as paratactic vs hypotactic, and within hypotactic structures are subclassified as progressive or regressive. The only structure type in the table not introduced above is non-iterative parataxis for which we suggest English correlative structures such as both…and, either…or, neither…nor (including perhaps the somewhat archaic the harder they come the harder they fall).
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[1] To be clear, Table 1 was from Halliday (1965):
[2] To be clear, the authors' update of Halliday (1965) is limited to the three types of non-iterative logical structures and the iterative experiential structure.
The mistaken notion of a non-iterative logical structure arose from not understanding that a two-unit complex (duplex) is specified by selecting 'stop' on the first pass through a recursive system. Having first misapplied a subjacency duplex structure to submodification in a Pitjantjatjara nominal group, the authors then applied it to other structures in other languages without providing argument as to why it was appropriate to do so.
The mistaken notion of an iterative experiential structure arose from not understanding that 'multiple Epithets' at the rank of group are realised by iterative logical structures at the rank of word. The authors compounded this error by proposing that two types of structure obtain within the one experiential structure of a nominal group.
By way of comparison, the current SFL model of structure type by metafunction is given by Halliday & Matthiessen (2014: 85):
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