We have seen that in many Australian systems of kin classification the parallel–cross status–extension rule (no. 5, Table 4.4) is supplemented by a rule of structural equivalence of agnatically related kin of alternate generations (AGA rule), and it may be supplemented also by a rule of structural equivalence of uterine kin of alternate generations (AGU rule). The effects of these rules are highly variable and depend on how they are ordered in relation to the parallel–cross status-extension rule and in relation to one another. So far we have dealt with systems in which the AGA and AGU rules are subordinate to the parallel–cross status-extension rule, or with systems in which the AGA rule has priority in relation to the parallel–cross status-extension rule but the AGU rule (if present) does not. In this chapter we consider some systems with both the AGA and AGU rules but without the parallel–cross status-extension rule. In most such systems, for example, Walbiri and Aranda, the AGA rule has priority in relation to the AGU rule and is supplemented by an auxiliary that permits MBC to be reckoned as equivalent to MFSC (MFSb) and, reciprocally, FZC to be reckoned as equivalent to FFDC (BDC). But in a few systems, Dieri, for example, the AGU rule is assigned priority in relation to the AGA rule and is assigned an auxiliary, which permits MBC to be reckoned as equivalent to MMSC (ZSC) and, reciprocally, FZC to be reckoned as equivalent to FMDC (FMSb).