In a monotransitive clause there are only two arguments; let's call them Subject and Object for purposes of this discussion. If the verb is in the REFLEXIVE Voice, this indicates that the Subject and Object are identical. (Example: "Jack loves-REFLX" with meaning "Jack loves Jack(himself)".) If the verb is in the RECIPROCAL voice, this indicates that two acts, events, or states, are happening at once; S is V-ing O at the same time as O is V-ing S. (Example: "Jack and Jill love-RECIP" with meaning "Jack loves Jill and Jill loves Jack".). (Of course this can be interpreted a little differently with different TMA; for instance "Jack and Jill love-RECIP-PERF" could be taken to mean "Jack has loved Jill, and Jill has loved Jack" without implying that there was ever a time when each loved the other simultaneously.) No monotransitive clause can be simultaneously REFLEXIVE and RECIPROCAL.
In a ditransitive clause, there are three core arguments; I'm going to temporarily call them S for Subject, DO for Direct Object, and IO for Indirect Object. There are thus three different kinds of REFLEXIVE, and three different kinds of RECIPROCAL.
REFLEXIVE could mean S=DO, or S=IO, or DO=IO.
S=DO example: "Winston turned himself in to O'Brien".
S=IO example: "Winston wrote himself a note."
DO=IO example: "O'Brien showed Winston to himself(Winston)"
RECIPROCAL could mean S reciprocates with DO, or S reciprocates with IO, or DO reciprocates with IO.
S & DO example: "Winston and Julia turned each other in to O'Brien"
S & IO example: "Winston and Julia gave rings to each other"
DO & IO example: "O'Brien married Winston and Julia to each other."
It is possible for a ditransitive clause to have both REFLEXIVEness and RECIPROCALness.
For instance,
S=DO reciprocating with IO; "Winston and Julia devoted themselves to each other."
DO=IO reciprocating with S; "Winston and O'Brien each showed the other to himself."
(S=IO reciprocating with DO, running out of time and can't think of an example fast enough."
Are there languages in which two or all three kinds of REFLEXIVE and/or two or three kinds of RECIPROCAL are expressed in the Voice of ditransitive verbs? Are there any in which a ditransitive verb can be both REFLEXIVE and RECIPROCAL?
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Tom H.C. in MI (seems to have a lot of questions about ditransitives)