dlMOrdl Ar6 all the chords equally pleasing 1 Are all the discords equalhr diaa>
gteeable ? Wliat is meant by the discord of the second or of the seventh ? 314. To
What is the diiTerence between chords and discords to be attributed? When aro
ehords produced 1 When are the notes discordant 1 How may this subject be illua*



20i



NATURAL PHILOSOPHT.
This is the most simple ratio
we can have, and, as we have-
seen, produces the most agree*
able chord. The sounds are
illustrated by the waved lines in
the figure. The perpendicular lines show the waves
which coincide.
When the interval between
two sounds is what is called a
fifth, a very pleasing chord is
produced ; and the number of
vibrations in each in a given
time are as 2 to 3. The per-
pendicular lines indicate, as before, the coinciding waves ;
every third one of the sharper sound, it will be seen, coin-
cides with every, other one in the lower.
The last of the accom-



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panying figures is designed
to indicate what is sup-
posed to take place in the
discord called the discord
of the second, in which
the vibrations are as 8 to 9. The coinciding waves,
it will be observed, are much further from each other
than in the case of the chords represented above,
every 9th of the higher coinciding with the 8th of 4he
lower sound. Indeed, it is found in the case of chords,
that, as the coinciding waves are removed further and
further from each other, they become less and less pleas-
ing, and at length, when removed to a certain distancg,
decidedly discordant.
