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H. Ward Poole on Just Intonation in Musie. 359 © 
Art. LI.—Just Intonation in Music. Its Notation and Instru- 
ments; by HENRY WaRD Pootg, M.A., of South Danvers, 
Massachusetts; and Professor in the National College of 
Mexico. 
Ir is evident that there is a general want of intelligence con- 
cerning the fundamental laws of Musical Intonation, the consti- 
comma, etc., can be recognized and sung. Without reference to 
previous times, I can declare from abundant personal knowl- 
edge, and actual demonstration, that the chord of the seventh 
is most agreeable and easy to give with the just ratio of 4:7, 
and that there is no practical difficulty in singing in just in- 
tervals. There appears to be a general desire expressed for 
such perfect intonation, and in consequence the following obser- 
vations may be interesting. . : 
However complicated this subject may appear when studied 
in books which do not have any primary definitions or canons, 
it can be made as clear and orderly as naturally it would be 
supposed, in view of the fact that music is based upon the 
mathematics. : 
Classification of Musical Tones into three Principal Orders.— 
Admitting into music only the prime numbers 2, 3, 5, 7, and 
considering the 2 as auxiliary, forming octaves, and inversions, 
Harmonic), 4:7. A series (each a fifth from the next,) is 
ormed of each of these kinds, and we have three Prime Series. 
A-due mixture of the notes of each is necessary for harmony. 
Using the letters, C, D, E, etc., we may express: the series to 
which each belongs in various ways. In common notation it 
