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imaprebable ag a it wales its 
i A entire once 
inhabiting the surface of the earth or the waters, are now 
mwa Traité de I’ Education des Animauz, p. 
131. Landt’s History of the Feroe Islands, p. 210. 
ae on the Plagues of Egypt. (c) 
POCH. See Curonotocy. 
EPPING Forest. See Essex, p. 205, 206. 
EPTAMERIDE, or Heptamenis, in Music, is an in- 
terval, so named by M. Sauveur, (see Mem. de l Acad. 
16mo, 1701, p. 407,) as the 1-30lst part of the oc- 
tave, = 2.04057055, and its common i is 
99899990035, but which is assumed by M. Sauveur in 
his calculations of musical intervals to be .9989000,0000, 
in order to have the octave expressed by a sup. log. of 
3010000,0000. 64 oe 
arp. flat ; the Vths flat, 
and the VIths sharp; and the II Ids flat, and the VIths 
be men sharp. See his Harmonics, 2d edit. pp. 211— 
Bat Earl Stanhope in 1806, was the first we believe 
EQU 
who proposed succession of 
cond of the aumme kind, te cr rekcical oaoe> 
A controversy on which ensued in 
~ =the ratio of each of these concords when perfect ; 
m 
é=the number of beats in 1” of time ; 
<= the ratio of the given interval or compass; and 
N=the number of complete vibrations in 1’, made 
by the lowest given sound thereof ; and we have 
Tueorem I, Fam 
Nx (<2—m') - 
3 r 
~ nt? bm? ne m3 1? te KE. 
the series inating, when the index of m becomes 
negative, n and r being the least terms (in their lowest 
terms) of the ratios, and accordingly as 4 is positive or 
negative the beatings will be sharp or flat. 
Also, if V=the number of complete vibrations in 1’ 
of the rote araived st, SNE Sening + SPEER eielNst 
ing concords in succession : > 
Tueorem II. 
ya (Nits x (m=! em? rtm tp Ke. 
= t 
n 
the lower si i sed, accordi: bis 
ad ap lidericly dnp Days 
And iff= the ratio of the last or uppermost of f, of - 
such equal-beating concords in succession, then 
Tueoren III. wt-as 
ce _ n+(Nm'—*ab x )m'—* +m n 4 m'—*n? 4 &e.) 
a Nm'aeb x (m'—" 4-m'—*n4- m3 &e,) 
1. If Earl Stanhope’s two equal-beating bi- 
equal major thirds E)A and pAc, are to be tuned in the 
minor sixth Ec, in the octave above tenor cliff C, we 
have, in Theorem Lt=2,~= ~~ = andN=300, 
5 8 
: 8 
300 x (= x 16-25) 
5 + —900X%.6 _ 
andé= 45 = 9 ae 
manher of baste abarp, made in 17 Uy Soe eneeaee 
thirds, as observed in 7 + Vol. Xxx. p. 4, 
in our article Concert Pitch. In coder tofent “a 
od Beaty ampere Sv. bes af on ft a or, we $8 ator : . 
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