
ARISTOXENUS OF TARENTUM (born 375360 B.C.) 

"Ever
since his own age a great controversy has raged about the teachings of
Aristoxenus. Instead of using ratios, he divided the tetrachord into 30
parts, of which, in his diatonic syntonon, each tone has 12 parts, each
semitone 6. . . ." [J. Murray Barbour, Tuning and Temperament,
a Historical Survey, Da
Capo Press, New York, 1972, p22.] 

Aristoxenus, The Harmonics of Aristoxenus, translated by Henry S. Macran, M.A., Oxford At The Clarendon Press, Henry Frowde, M.A., Publisher to the University of Oxford, New York, 1902, p249 

Iliad (a page from SORGLL Society for the Oral Reading of Greek and Latin Literature) John Curtis Franklin  Ancient Greek Music Homepage Ancient Greek Music at the Austrian Academy of Sciences (Stefan Hagel) Music Library of Greece (Lilian Voudouri)
In lieu of a dirth of metrical analysis, syllable by syllable, of ancient Greek poetry, I offer my initial steps towards analyzing the Iliad.


.
. . The school of Aristoxenes in the fourth century divided the tone into
four "rigorously equal" quarter tones, but in reality this division
was not considered as exact because Aristoxenes did admit in practice
a certain "freedom of variation of the intervals," a certain
"latitude" for each note. (d'Erlanger, Baron Rodolphe, La
musique arabe. 3 vols. Paris: Paul Geuthner, 1930) in [Daniélou,
Alain, Music and The Power of Sound, Inner Traditions, Rochester,
Vermont, 1995, p81


. . . The . . . Fourth . . . its apparent value . . . consists of two and a half tones. [Aristoxenus, The Harmonics of Aristoxenus, translated by Henry S. Macran, M.A., Oxford At The Clarendon Press, Henry Frowde, M.A., Publisher to the University of Oxford, New York, 1902, p182] . . . there is a problem about what exactly is meant by a 'tone'. The Greek writers define it as the interval by which a fifth is greater than a fourth. Strictly speaking, that is the interval given by the ratio 9 : 8, or 204 cents. But Aristoxenus regards it as being at the same time a unit of which a fourth (properly 498 cents) contains exactly two and a half. In effect he is operating with a tempered tone of 200 cents and a tempered fourth of 500 cents. . . . [West, M.L., Ancient Greek Music, Clarendon Press, Oxford, 1994, p167] 

March
23 , 2017

