4 
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geometrician, Daniel Bernoulli, attacked d’Alembert hun- 
{elf, in the Memoires de l' Academie de Berlin, in 1753, on 
the fubjeét. See Basse FonpAMENTALE. See alfo the next 
articles. : 
Harmonics, Acute, are the fhrill, high, or very acute 
founds which, like “the grave harmonics of two founds de- 
{cribed below, are obferved to accompany a fingle deep or 
rave note, in moft inftances ; particularly in beils, fome of 
‘which give their harmonics, particularly the X11th, almoit 
f 
fully to the thing, if one of the beft founding ftrings of the 
bafe of a piano-forte be ftruck, we can hear the XI Ith very 
plainly, as the found is dying away, and the XVI Ith 1s the 
Jaft found that dies away on the ears. Daniel Bernouilli feems 
to have been the firft perfon who difcovered the caufe of the 
acute harmonics, to which he was led, from contemplating 
and extending the application of the harmonic curve difco- 
vered by Dr. ‘Taylor, viz. that a mufical ftring, or the elaftic 
column of air in a pipe, at the fame time that its whole 
five aliquot parts each to the major feventeenth, &c.: but 
Robinfon, being poffeffed of a curious wheel monochord, 
made by the ingenious Mr, Watt about the year 1765, whicl 
Cc 
inftrument we have already mentioned in our article Con-. 
CORD, inexperimenting upon it, fome years afterwards, found 
that when the ftring was kept in a ftate of fimple vibration, 
ng the preffure and velocity-of the wheel... The fame 
thi happened if the — was gently touched at one 
third. It inftantly divided itfelf into three parts, with two 
nodes, and founded the twelfth. In the fame manner, the 
produced and maintained. But the prettieft experiment 7 
was, to put fomething foft, fuch asa lock of cotton, in the 
way of. the wide vibrations of the chord, at one-third and 
two-thirds of its length, fo as to difturb them when they 
came wide 
fubordinate vi i 
length, and ——* the fundamental and the XTIth, with 
fal ftren 
the ftring, rnuming from one o another. This 
iat banks which 
d te hen the ftrmg was making very 
vibrations, and the wheel hen 
was made 
as ftrong as the fundamental; and by atgending mere care- }Y¥f 
Ww 
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harp gives us all the changes of harmony, fliding from one - 
found to another, according as it is affected in its different 
parts by an irregular breeze of wid.’ 
Mr. John Hawkins, the inventor of the Fincer-Kevep 
‘, 4,4, &c. through its whole length, 
I 
or the feather of a quill being dexteroufly applied, to check 
he extreme vibrations oppofite to any one of the aliquot 
divifions, the ftring immediately began to vibrate in fo man 
feparate parts, without deftroying the total vibration, which 
bape 
phenomena called Brats (fee that article): if fuch beats 
are quicker than twelve in a fecond, they occafion a like 
“ed of under that article. 
M . Ho +? 
eer harmonics, dependents of the confonance whence 
relult. : eo an 
~HARMONICUS, Canon. See Moyocnorp 
HARMONIDES, in Biography, a young flute-playets 
Iden, in his “ Effay,’’ p. 300, denomiaiet 
a 
‘> 
, and {cholar of Timotheus, who, at the Olympic games i 
ucian may be credited, who relates with the appearance #f 
great gravity, at his firlt public performance, in order t0 
attonifh his hearers, began his folo with fo violent a lat 
Loe s breathed his lait breath into his flute, and died pe 
This account is fo extraordinary, that it feems to requ’ 
the teftimony of the author’s own words : crore veuretay OU? 
breathed his laf breath into the flute 3 and. ev 1m oxgyy archers DS 
died upon the flage. : pee 
HARMONIE Drrrere, Fr. in Mufe, is that harmony 
ier the bafe is fundamental, and in which the uppct fe 
preferve a regular order with the bafe. Harmonie renve(™™ 
inverted harmony, is that in which one of the treble pais) 
