343 
of Edinburgh, Session 1873 - 74 . 
2 d, pitch, determined by rate of vibration; and, 3d, quality, which 
depends on the orders, numbers, and relative intensities of the 
simple tones into which it can be resolved. 
Up to the present point of this inquiry I have devoted attention 
chiefly to the element of quality. The apparatus I have employed 
was made by G-eorg Appunn of Hanau. It is a long wooden box 
inclosing a row of vibrating tongues or free reeds, which can be 
thrown into action by propelling air into the box by means of a 
bellows. The note produced by the longest reed, No. 1, is that 
obtained by a vibrating cord, of a certain length, thickness, and 
tension, as in a monochord, and corresponds to C 2 , having 32 
vibrations per second. On dividing the cord into 2, 3, 4, 5, 6, 
&c. equal segments, each segment, when caused to vibrate, will 
produce a note composed of 2, 3, 4, 5, or 6 times the number of 
vibrations in No. 1. This apparatus is capable of producing 64 
tones, a larger number than are included within the key-board of 
a piano. The names and number of vibrations per second of these 
tones in this apparatus is as follows :■ — 
No, 
No. 
1 . 
C 2 
32, Fundamental tone. 
21. 
f 2 
672 
2. 
C 1 
64, Octave. 
22. 
F2 + 
704 
3. 
G 1 
96, Fifth above No. 2. 
23. 
Fis 2 
736 
4. 
C° 
128, Fourth above No. 3. 
24. 
G 2 
768 
5. 
e° 
160, Major third above 
25. 
gis 2 ~ 
800 
No. 4. 
26. 
a 2 ~ 
832 
6. 
G° 
192, Minor third above 
27. 
a 2 
864 
No. 5. 
28. 
b 2 
896 
7. 
C° 
224 
29. 
Ais 2 
928 
8. 
C 1 
256 
30. 
h 2 
960 
9. 
D 1 
288 
31. 
H 2 
992 
10. 
e 1 
320 
32. 
C 3 
1024 
11. 
pi+ 
352 
33. 
C 3 + 
1056 
12. 
G 1 
384 
34. 
Des 3 + 
1088 
13. 
a 1 - 
416 
35. 
d 3 - 
1120 
14. 
b 1 
448 
36. 
D 3 
1152 
15. 
h 1 
480 
37. 
D 3 + 
1184 
16. 
C 2 
512 
38. 
Es 3 ~ 
1216 
17. 
Des 2 
544 
39. 
e 3 — 
1248 
18. 
D 2 
579 
40. 
e 3 
1280 
19. 
Es 2 " 
608 
41. 
E 3 + 
1312 
20. 
e 2 
640 
42. 
f 3 
1344 
