On the Interpretation of Greek Music
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^SSi'k- 359. '^i- 471. *i- 653. «i- 857,^1. io6i,/i. 1173,^1. 105, <^2. 309. <^2- 443. *2- 603, fl2- 807,^2- I0"»/2- "455^2- According to Alypios, the scales were formed of eighteen notes apiece ; and there were five-and-forty scales in all, or fifteen scales of three types each — diatonic, chromatic, and enharmonic. But in the chromatic and enharmonic types the notes were just the same ; and in the diatonic type the only » The formula HJ x (log. ;c - log. y) x 40 gives the number of mean Semi-Tones in an interval of ratio x toy. l8 GREEK MUSIC. variation was in notes 4, 7, 10, 14 and 17. Putting the dia- tonic notes for 4 and 7 and 10 in brackets, and omitting the notes from la to 18, as these are only a repetition of the notes from a to 8 an octave higher up, the entire system is reducible to this : — I a 3 4 (4) 5 6 7 (7) 8 9 10 (10) II Hypo-Dorian / g gigz K) ^ ^1*^2 (4)//i/2 ^"2) «2 Hypo-Iastian f%g^aa^{b) c^d d^ie) f^g gi («) b Hypo-Phrygian g a a^a^ {c) d d^d^{f) g g^g^, K) c Hypo-^OLIAN g^ a^b b^ (cg) d^ e e^ {f^) g^a a^ {b) c^ Hypo-Lydian a b b^b^ {d) e e-^ e^ [g) a a^ a^ {c) d Dorian a^ c c^c^ {d^f Ah (fa) ^2^ h (fa) fa lASTiAN b c^dd^{e) Ag g^ (a) b b-^b^ (d) e Phrygian c d d^d^ (/) g g^g^ {a^ c c^ c^ {d^ f ^OLIAN C2 d^e e^ {f^giU «2 {b) ^^d d^ {e) f^ LYDian d e e^e^ (g) a a-^a^ {c) d d^d^ (/) g Hyper-Dorian d^ff^fi (f2)«2^ ^2 (f2) die e^ {f^) g^ Hyper-IastIan e f^g g^ {a) b b^b^ (d) e e^e^ (g) a Hyper-Phrygian/ g g^g^ (a^) c c^ c^ {d^fAA (fa) «2 HYPER-iEOLIAN /2faf fa (f) f 2 -f f 2 (f) fiS gn.
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To quickly assess the difficulty of the text, read a short excerpt:
^SSi'k- 359. '^i- 471. *i- 653. «i- 857,^1. io6i,/i. 1173,^1. 105, <^2. 309. <^2- 443. *2- 603, fl2- 807,^2- I0"»/2- "455^2- According to Alypios, the scales were formed of eighteen notes apiece ; and there were five-and-forty scales in all, or fifteen scales of three types each — diatonic, chromatic, and enharmonic. But in the chromatic and enharmonic types the notes were just the same ; and in the diatonic type the only » The formula HJ x (log. ;c - log. y) x 40 gives the number of mean Semi-Tones in an interval of ratio x toy. l8 GREEK MUSIC. variation was in notes 4, 7, 10, 14 and 17. Putting the dia- tonic notes for 4 and 7 and 10 in brackets, and omitting the notes from la to 18, as these are only a repetition of the notes from a to 8 an octave higher up, the entire system is reducible to this : — I a 3 4 (4) 5 6 7 (7) 8 9 10 (10) II Hypo-Dorian / g gigz K) ^ ^1*^2 (4)//i/2 ^"2) «2 Hypo-Iastian f%g^aa^{b) c^d d^ie) f^g gi («) b Hypo-Phrygian g a a^a^ {c) d d^d^{f) g g^g^, K) c Hypo-^OLIAN g^ a^b b^ (cg) d^ e e^ {f^) g^a a^ {b) c^ Hypo-Lydian a b b^b^ {d) e e-^ e^ [g) a a^ a^ {c) d Dorian a^ c c^c^ {d^f Ah (fa) ^2^ h (fa) fa lASTiAN b c^dd^{e) Ag g^ (a) b b-^b^ (d) e Phrygian c d d^d^ (/) g g^g^ {a^ c c^ c^ {d^ f ^OLIAN C2 d^e e^ {f^giU «2 {b) ^^d d^ {e) f^ LYDian d e e^e^ (g) a a-^a^ {c) d d^d^ (/) g Hyper-Dorian d^ff^fi (f2)«2^ ^2 (f2) die e^ {f^) g^ Hyper-IastIan e f^g g^ {a) b b^b^ (d) e e^e^ (g) a Hyper-Phrygian/ g g^g^ (a^) c c^ c^ {d^fAA (fa) «2 HYPER-iEOLIAN /2faf fa (f) f 2 -f f 2 (f) fiS gn.
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