Musica. Claudius Ptolemaeus. ed. Karl von Jan. United States. 2017.
Funding provided by Harvard Library Arcadia Fund.
Table of Contents
Search the Perseus Catalog for:
Search the Perseus Catalog for:
Current edition First1KGreek
Musica (Greek) (Claudius Ptolemaeus. Musici Scriptores Graeci. Jan, Karl von, editor. Leipzig: Teubner, 1895.)
Notes on the current edition
Musica
1.
2 γ΄ om. P. 3 παραμέσης P, παράμεσις ἡλίου ιη inv. N. 5 μέσων] μέσην P, cor. η in ω N. 6 σελήνης πυρὸς ἀέρος προσλαμβανόμ. ὕδατος γῆς NP, verum ordinem habet H, 7 προσλαμβανομένη H. 9 ε NP, ϛ Vincent. 10 ζ ego, ε NP. Vi. 11 γ Vi, ε NP.
2.
stellis conunctis Tetrabibli init.). sed haud scio an ommia conficta sint a recentioribus Pythagoreis. sphaerarum enim seriem ex elementis et planetis compositam receptam vides a Pythagoreis apud Photium, biblth. 249 (p. 439
b Bk). numerorum autem series oriri potuit ex illa, quam Boetius proponit, mus. II 11. is multiplicationibus quibusdam adhibitis e proportione harmonica 3 4 6 invenit numeros hos: 9 12 16 18 24 36. ubi ter habes rationem diatessaron, semel rationem toni, bis dianente. pone 16 = mesen, 18 = paramesen: invenis 9 hypaten hypaton, 12 hyp. meson, 24 neten diez. et 36 sonum qui tono superat neten hyperbolaeon. adde meses (16) dimidium et duplum: habes 8 = proslambanomenon et 32 = neten hyperbolaeon.
3.
25. Μεσ. ἀριθμ.
Μεσ. γεωμ.
Μεσ. ἀρμ. | 3:4
2:3
1:2
1:4 8·12·16
8:12:18
8·12·24 | 9:12
8:12
8:16
8:32 8·16·24
8:16:32
12·16·24 | 12:16
12:18
9:18
9:36 12·18·24
9:12:16
12·18·36 | 16:21⅓
16:24
12:24 12·24·36
9:18:36
| 18:24
24:32
16:32 16·24·32
12:16:21⅓
| 24:32
18:36
16:24:36
18:24:32 τόνοι 8 : 9, 16 : 18, 21⅓ :24, 32:36. 27*