What's the difference between metathesis and metathetical?

Metathesis

Definition:

(n.) Transposition, as of the letters or syllables of a word; as, pistris for pristis; meagre for meager.
(n.) A mere change in place of a morbid substance, without removal from the body.
(n.) The act, process, or result of exchange, substitution, or replacement of atoms and radicals; thus, by metathesis an acid gives up all or part of its hydrogen, takes on an equivalent amount of a metal or base, and forms a salt.

Example Sentences:

(1) Mechanistic and synthetic studies in organometallic chemistry have provided considerable insight into olefin metathesis and Ziegler-Natta polymerization.
(2) It's called metathesis , and it's a very common, perfectly natural process.
(3) New homogeneous olefin metathesis catalysts based on high oxidation state transition metals have opened new opportunities in polymer synthesis by providing unprecedented control in ring-opening polymerization of cyclic alkenes.
(4) The sequential nature of substitution errors was further analyzed by tallying and classifying errors as anticipatory (prepositioning), reiterative (postpositioning), or metathesis.

Definition:

Example Sentences:

(1) This paper describes the application of Preferred State Theory to provide quantitative predictions of a variety of psychological effects, including the prothetic-metathetic distinction, and the expected form of the matching functions between physical stimuli and the estimates produced by magnitude and category subjective estimation methods.
(2) The purpose of this study was twofold: to determine through psychophysical comparison of scaling data whether speech naturalness is a prothetic or a metathetic continuum, and to examine the relationship between selected acoustic characteristics of the speech of nonstutterers and treated stutterers and listeners' judgments of their speech naturalness.
(3) Comparison of magnitude estimation and interval scaling data indicated that speech naturalness behaves like a metathetic continuum, suggesting that either scaling procedure is valid for the quantification of this dimension.
(4) With the first three compounds, the anomalies were due to metathetical exchange of the halide anion between the compound and the matrix.
(5) It was hypothesized on the basis of the theory that subjects would process short geographical distances as a metathetic continuum and longer distances as a prothetic continuum.
(6) In contrast to previous studies, the results clearly indicate that the physical stimulus-psychological response magnitude relationship for location and extent movements is best described by a metathetic continuum.