Greek Musical Writings: Volume 2, Harmonic and Acoustic by Andrew Barker

By Andrew Barker

This moment quantity of Greek Musical Writings comprises very important texts on harmonic and acoustic concept, illustrating the development of those sciences from their beginnings within the 6th century BC over the next thousand years. Writers represented comprise Philolaus, Plato, Aristotle, Theophrastus, Aristoxenus, Ptolemy, Aristides, Archytas, and Quintilianus. the entire Greek texts are newly translated through the editor. a few change insufficient current translations; different major parts of the ebook contain a lot that's crucial for an figuring out of medieval and Renaissance musicology. Dr Barker presents designated and authoritative statement and annotations to all of the texts. each one part is prefaced by way of an introductory essay and a few of the extra complicated matters are mentioned additional in appendices.

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Extra info for Greek Musical Writings: Volume 2, Harmonic and Acoustic Theory (Cambridge Readings in the Literature of Music)

Sample text

7 Aristox. El. Harm. ; 8 Eucl. Sect. Can. proposition 17; 12 Arist. Quint. De Mus. ). ). A few sources give arrangements using only fixed notes of the system, notably Plutarch De Anim. Procr. iO29a-b, but there are no early examples, and even these are not just sequences of concords. 7 Aristotle De Caelo 293ai8ff. (DK 58 B37) Most people say that it [the earth] lies at the centre, ... but the people in Italy who are called 'Pythagoreans' speak in opposition to this. For they say that at the centre is fire, while the earth is one of the stars, and by travelling in a circle around the centre makes night and day.

Quint. De Mus. ). ). A few sources give arrangements using only fixed notes of the system, notably Plutarch De Anim. Procr. iO29a-b, but there are no early examples, and even these are not just sequences of concords. 7 Aristotle De Caelo 293ai8ff. (DK 58 B37) Most people say that it [the earth] lies at the centre, ... but the people in Italy who are called 'Pythagoreans' speak in opposition to this. For they say that at the centre is fire, while the earth is one of the stars, and by travelling in a circle around the centre makes night and day.

Though the details of the later stories cannot be believed, there is no good reason to doubt the gist of this tradition (even if Pythagoras' originality lay in the theoretical attention he gave to these ratios, rather than in the discovery of them). The strangely unified relation of the musical octave corresponds to the simple ratio 2:1. Its unity conceals a structure of two lesser concords (themselves conceived acoustically as unified 'blendings' of sound), the fifth of 3:2 and the fourth of 4:3.

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