But neither doth this pleasant conceit of the latter
come near the truth, neither do the former attain perfect
accuracy. However, they who will not allow the latter to
depend upon Plato's sentiments will yet grant the former
to partake of musical proportions; so that, there being five
tetrachords, called ὑπάτων, μέσων, συνημμένων, διεζευγμένων, and
ὑπερβολαίων, in these five distances they place all the planets;
making the first tetrachord from the Moon to the Sun and
the planets which move with the Sun, that is, Mercury and
Venus; the next from the Sun to the fiery planet of Mars;
the third between this and Jupiter; the fourth from thence
to Saturn; and the fifth from Saturn to the sphere of the
fixed stars. So that the sounds and notes which bound the
five tetrachords bear the same proportion with the intervals
[p. 364]
of the planets. Still further, we know that the
ancient musicians had two notes called hypate, three called
nete, one mese, and one paramese, thus confining their
scale to seven standing notes, equal in number to the number of the planets. But the moderns, adding the proslambanomenos, which is a full tone in descent from hypate,
have multiplied the scheme into the double diapason, and
thereby confounded the natural order of the concords; for
the diapente happens to be before the diatessaron, with the
addition of the whole tone in the bass. Whereas Plato
makes his addition in the upper part; for in his Republic1
he says, that every one of the eight spheres rolls about a
Siren which is fixed upon each of the tuneful globes, and
that they all sing one counterpoint without diversity of
modulation, taking every one their peculiar concords,
which together complete a melodious consort.
These Sirens sing for their pleasure divine and heavenly
tunes, and accompany their sacred circuit and dance with
an harmonious song of eight notes. Nor was there necessity of a fuller chorus, in regard that within the confines
of eight notes lay the first bounds and limits of all duple
and triple proportions; the unit being added to both the
even and odd numbers. And certainly from hence it was
that the ancients raised their invention of nine Muses; of
which eight were employed in celestial affairs, as Plato
said; the ninth was to take care of things terrestrial, and
to reduce and reform the inequality and confusion of error
and jarring variance.
1 X. p. 617 B.
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