Musical Intonation and Temperament. 5 \ 1 



Scaje is the same for both, I r y lias been thrown on 



this matter, and net ibor imposed on the student, by the so-called 



Minoi: Scali:. 



A few physical facts must now be stated before proceeding to the 

 practical part of thu set 



Frssr. — W ben a musical sound is near a string of a rnu- 



. instrument, if md harmonizes wit:. will 



produce, it causes the string to vibrate. I. i Do', Sol*, "will 



produce vibrations in the ing of a Piano ] 



cond. — When r in barmoi 



are near each other. tier's vibrations and 



harmonize complete! v. 



Third. — \\ hen a string vibrates as a ■ . and produces its 



note, parts of the sain _ produce 



2 er pitches of sound. Thus, a string soun *, may also pro- 



duce Do*, J - ..*, or several or all of these, and per- 



haps more. These secondary sounds are cab 



ral musical theories have been ba~ : act — an unsafe founda- 



tion, as some harmonics have no musical relation to any scale. Thus 

 give a harmonic i - vibrations 1 'and 



Sir*. Tubes, as Trumpets and French I • &c, also give l.ir- 

 monics — as also Bells, and, in fine, all musica] instruments: 

 lowest note of the tube, bell, or sti _ called the Fundamental. 



Fourth. — \\ hen two pitches whi :h are harmonics to the same 

 Fundamental are sounded together, the Fundamental itself may 

 be heard. Thus, when Do 5 , mas ibratior . . with 



. making 3~5, tli-ir pulsations coinci the 



impression of Do*, although it is not sounded. 1 too, has 



served a3 basis to ill-founded theor 



These things being thoroughly we are prepared to 



proceed to the practical application of ti. ;.rn. 



This is to produce the tones indicated in musical < - . i.ich 



is called Intonation : or others n^-ar enough to r in 



• y.n \ment. 



Musical Instruments are divided info twoc! r Iv- 



BTKTjXKirrs are apaUe of prod 



each other, at the will of th Violin, the T ro mb on e, 



and the Human Voice. Ikfekj : < r I ice only 



the fixed tones for wh: ire tuned. 



Of all perfect instruments invented by man, (he Viol is by far the 



