1 )FHE 
EU L 
Raler’s} Common theof; Artif. | Liston’s) Nume- 
Notes. | Logarithms. ro Commas. | Notes. | rals, 
C_ | .6989700,0 | .50000 | 612 Cc |Vul 
.7038749,3 | .50568 ] 602 | BR 
.7216087,0 | .62675 | 566 B’ | VIl’ 
B | .7260987,3 | .58333:| 555 | B vu 
.7496324,2 | .56187 | 509 | A’ 
Cp | .7550274,5 | .66889 | 498 Ak | XVI 
.7727562,2 | .59259 | 462 Ae tt FV 
A | .7781512,5 | 60000 | 451 A VI 
80078494 | 68210 | 405 | G’xK 
G&)} .8061799,7 | 64000 | 304 | Gx 
G_ | .8239087,4 | .66667 | 358 G Vv 
8288136,6 | .67424 | 348 | F/R 
8465424,3 | .70233 | $12 | FR | IV’ 
Fx | 85199744 | .71111 | 301 Fx | IV 
F | .8750612,6 | .75000 | 254 F 4 
87996619 | .75852 | 244 | EX 
.8976949,6 | .79012 | 208 E’ Ill’ 
E_ | -9080899,9 | .80000 | 197 E Ill 
.9257236,8 | .84280 | 151 »| D’x ; 
Dx} .9311187,1 | 85333 | 140 | Dx |. xII 
D | .9488474,8 | .88889 | 104 D Ul 
.9537524,0 | .89898 94 | ORK 
.9768762,0 | .94815 47 Cx I 
Cx | .9822712,3 | .96000 36 | CK K 
.0000000,0 {1.00000 (9) Cc 1 
‘The want of minor consonances above C, are v 
obvious in the above system, which most probably M. 
Euler never tried any more than the equal tempera- 
ment, although his name has been often enrolled among 
the very numerous theoretic recommenders of the Iso- 
TONIC = ng ¢ 
EULER, ee one of the most di 
distinguished 
mathematicians of the 18th century, was the son of Paul 
Euler, and M Brucker, and was born at Basle on 
the 15th of A 1707. esi oooh 
His‘father, who had been instructed in mathematics 
by the célebrated James Bernoulli, became pastor of the 
village of Riechen, near Basle, in the year 1708 ; and 
as soon as his son had arrived at the Proper age, in- 
stilled into him a fondness for mathematical learning, 
although he had destined'him for the study of theology. 
He was afterwards sent to’the-university of Basle, where 
he was found wuyrnvemeae from John Ber- 
noulli, who was at time regarded as the first ma- 
thematician in Europe. “The assiduity and amiable dis- 
position of Euler, soon gained him the i es- 
teem of that great master, and the friendship of his two 
sons Daniel and Nicolas Bernoulli, who ‘had already 
beeome the disciples and the rivals of their father. John 
Bernoulli even condescended to give ‘him once every 
week a particular lesson, for the p of explaining 
the difficulties which he encountered in the course of his 
studies, Euler had not the fortune to enjoy long 
this inestimable advantage. In 1723, he received the 
degree of Master of Arts ; and on this occasion, he ob- 
tained great applause by the Latin discourse which he 
delivered, containing a ison between the New- 
tonian and the Cartesian osophy. At the request 
of his father, he now began the study of theology ; but 
his attachment to the mathematics was so strong, that 
bis father at last consented to allow him to follow the 
= of ee genius, 
icolas Daniel Bernoulli having accepted in 1725 
of the invitation of Catherine I. to become a member of 
the Academy of Sciences of St Petersburg, promised at 
we ider that he was then 
only vo i About this Srehmaenat-qhe. 
idate fo vacant professorship of natural 
in the university of Basle ; but he had not the 
pCi eg Io 
, Daniel and Nicolas Bernoulli used all their i 
i 
to procure an tment for their friend ; and’ 
baying at last succeeded, cod hitat' 
imnatediatel i vite SePetmcebeng, Tinie oa 
obeying this welcome summons ; but, after he had be 
gun his} , he had the mortification to learn that 
icelas ulli had fallen a victim to the severity of 
the climate ; and the very day which he entered 
the Russian territory, was that of the death of the Em- 
press Catherine I.: an event which at first 
the great problems on the motions of e heavenly 
bodies, 
