In Section 1.3.2 above three highly generalised types of structure were introduced, the particulate, prosodic and periodic, and correlated with the ideational, interpersonal and textual metafunctions respectively. Particulate, prosodic and periodic realisation is an important motif, and one that will be taken up in various places throughout English Text, especially in Chapters 6 and 7. At this point however it is necessary to return to earlier work by Halliday (1981b) on univariate and multivariate structure.
In this work Halliday is concerned to distinguish the kinds of structure generated by the logical metafunction (univariate structures) from those realising experiential, interpersonal and textual meaning (multivariate structures). Univariate structures as defined as structures involving a single variable, which recurs one or more times. Multivariate structures on the other hand involve more than one variable, with each variable occurring only once.
This is the distinction between open ended projecting structures such as Ford thought Marvin wanted Zaphod to tell Trillian that ... (α 'β 'y "δ — univariate) and closed structures such as Ford bored Marvin (Phenomenon^Process^Senser — multivariate).
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[1] This is misleading. Martin (1992) largely ignores these metafunctional structure types, except in discussing genre, which is not distinguished in terms of metafunction. Instead, Martin's discourse semantics models
- interpersonal meaning in terms of constituency (exchanges consisting of moves), not prosody;
- textual meaning as covariate structure: reference chains of participants, not periodicity;
- experiential as covariate structure: lexical strings of message parts, not as particulate.
From the perspective of SFL Theory, Martin's use of Lemke's (1985) notion of 'covariate structure' corresponds to non-structural cohesive relations. Lemke (1987) later conceded that what he termed 'covariate structure' was not, in fact, a type of structure.
[2] To be clear, Halliday (1981b) was actually first published in 1965 as a Working Paper, before Halliday had formulated Systemic Functional Theory. It was Halliday's first exploration of the distinction between univariate and multivariate structure — focusing on univariate structure — and contains statements that are inconsistent with the distinction as it later developed in SFL Theory. For example, in this paper, (p230), a Head°Modifier structure is classified as multivariate, rather than univariate.
Similarly, Halliday's pre-Systemic claim (p229) that, in multivariate structures, a variable occurs only once is clearly contradicted in SFL Theory by
- clauses with more than one Agent (experiential),
- clauses with more than one Adjunct (interpersonal), and
- information units (textual) with more than one Given, as in Given^New^Given.
[3] This is potentially misleading, since 'open vs closed' does not reliably define the difference between univariate and multivariate structure, as demonstrated by the relatively open-ended multivariate experiential structure of a clause like Arthur made Ford make Marvin make Zaphod tell Trillian. Halliday & Matthiessen (2014: 353):
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