Based on the tuning systems of the ancient Pythagorean, Archytas of Tarentum, and the second century musicologist, Claudius Ptolemy of Alexandria. The last of the four pieces uses an inversion of Ptolemy's Soft Diatonic, made by ascending to form the order of the tetrachord, rather than descending. Written and performed by: Jack Bagby (piano and virtual instruments) Jonathan Kay (soprano and tenor sax) 0:00 Archytas Soft Diatonic 2:25 Ptolemy's Even Diatonic 5:13 Ptolemy's Soft Diatonic 6:28 Inversion of Ptolemy's Soft Diatonic #music #piano #musicology #harmonics #ancienthistory #ancientgreek #philosophy #justintonation #microtonal #temperament #overtones #musictheory #saxophone #history #historical #jazz #jazzmusic #classical #classicalmusic
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