Pi 
Eu 
It is pleasant for us to observe ‘means co-operant to an e€ 
290 H. W. Poole on the Musical Ratios. 
But although every singer and musician may have his inner 
revelation of what musical intervals really are, it is important 
that they should be understood and acknowledged by the sci- 
entific, and the teachers of music, 
It is not difficult to find a pair of children, or a quartette of 
friends, who will sing in perfect tune. But in nearly every 
church and music room ‘is set up an organ with but twelve 
pipes in each octave, which can not make a perfect chord, or 
one which would be tolerated by the vocalists referred to, What 
is the fault of these instruments ? Can instruments be made 
show what I mean. Nothing is more common than to sing a 
error. The efiect on a good singer is to deaden his sensibility 
and consequently spoil him, It is remarkable that this inter- 
val of 4:7 is not recognized by Professor Tyndall, who has, 
wn 
Euler gives a good theory, which Professor Tyndall quotes 
as follows. 
order. 
But 
t as to weary 
oa 
