Summary
Recent studies have shown that a sophisticated framework of the tone system is used in 11th century Western tonaries which refer to the Boethian mensura of the monochord. What is less known, however, is the fact that in some tonaries the system used does not work poperly - one example is a well-known compilation of older tonaries called “alia musica”. These sources are of particular interest for scholars of Byzantine music for they describe the Greek “oktōēchos system”. The Latin tonary proves that some E-mode melodies in the Roman- Frankish redaction have to be sung in such an intonation as it differentiates between a low (extreme) and a high (intense) finalis E, an intonation which does not exist within the Boethian diagram. This was obviously an imitation of contemporary Greek singers. The anonymous author of the treatise also offers a theological interpretation of this intonation concept which is described by the intonation formula “AIANEOEANE”.

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