Homage to Ptolemy – a systematic generation of just intonation tetrachords

Ptolemy titlepageThe author generates a handsome collection of tetrachords by using an archaic arithmetical procedure. He embeds various historical tetrachords into the group, with special focus on Ptolemy. He provides historical context. He also presents a generalized classification of tetrachord types. Finally he demonstrates the usefulness of the schisma resolution in modelling the fine grain of n-limit Just Intonation.

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http://www.siementerpstra.com/writings/Terpstra-Ptolemy.pdf

http://www.siementerpstra.com/writings/Terpstra-PtolemyDiagrams.pdf