The purpose of the study is the investigation of the topics of transposition and the transposed major and minor modes as discussed principally by selected French authors of the final twenty years of the seventeenth century and the first three decades of the eighteenth. The sources are relatively varied and include manuals for singers and instrumentalists, dictionaries, independent essays, and tracts which were published in scholarly journals; special emphasis is placed on the observation and attempted explanation of both irregular signatures and the signatures of the minor modes. The paper concerns the following areas: definitions and related concepts, methods for singers and Instrumentalists, and signatures for the tones which were identified by the authors. The topics are interdependent, for the signatures both effected transposition and indicated written-out transpositions. The late Baroque was characterized by much diversity with regard to definitions of the natural and transposed modes. At the close of the seventeenth century, two concurrent and yet diverse notions were in evidence: the most widespread associated "natural" with inclusion within the gamme; that is, the criterion for naturalness was total diatonic pitch content, as specified by the signature. When the scale was reduced from two columns to a single one, …

The purpose of the study is to empirically determine the relevance of PPP theory under the traditional arbitrage and the efficient markets (EPPP) frameworks during the recent floating period of the 1980s. Monthly data was collected for fifteen industrial nations from January 1980 to December 1986. The models tested included the short-run PPP, the long-run PPP, the EPPP, the EPPP with deviations from expectations, the forward rates as unbiased estimators of future spot rates, the EPPP and the forward rates, and the EPPP with forward rates and lagged values. A generalized regression method called Seemingly Unrelated Regression (SUR) was employed to test the models. The results support the efficient markets approach to PPP but fail to support the traditional PPP in both the short term and the long term. Moreover, the forward rates are poor and biased predictors of the future spot rates. The random walk hypothesis is generally supported.