A. M. Mayer — Researches in Acoustics. 23 



experiments. The number of the paragraphs refer to the 

 number of the experiment given in Table II. 



(6) UT 3 :MI S = 256: 320 gave a consonant interval. I nar- 

 rowed the interval by lowering the pitch of MI 3 from 320 to 

 315, 314, 313-5 and 313 



UT 3 : 315 consonant. 

 " : 314 just consonant. 

 " : 313-5 slightly rough. 

 " : 313 decidedly rough. 



These experiments show that 256 : 256-1-58 = nearest conso- 

 nant interval. 



(7) MI,: SOL, =320: 384 is decidedly rough. Separated the in- 



terval by lowering the MI 3 fork from 320 to 916 then 

 MI, : SOL, = 316: 384 = 316 : 316 + 68 = smallest consonant 

 interval. 

 (S) LA, :UT =439:517-4 decidedly harsh. Separated interval 

 by lowering LA 3 of 439 v. d. to 432 v. d. then 

 LA 3 : UT 4 = 432 : 517-4 = 432 : 432 + 85-4 = smallest conso- 

 nant interval. 



(9) RE 4 : FA 4 = 576 : 682*65 slightly rough. Increased the inter- 



val by lowering RE 4 of 576 v. d to 575 v. d. then 



RE 4 : FA 4 = 575 : 682-65 = 575 : 575 + 107-65 = smallest con- 



4^4 ' 



sonant interval. 



(10) SOL 4 : Fork of 896 v. d. = 768 : 896 slightly rough. In- 

 creased the interval by lowering SOL 4 of 768 v. d. to 766-2 

 then 



SOL 4 : 896= 766-2 : S96 = 766-2:766-2 + 129-8 = smallest con- 

 sonant interval. 



(11) LA 5 : SI 6 = 1706-6 : 1920 consonant. Narrowed the interval 

 bv lowering SI B of 1920 to 1917 then 



LA, : SI, = 1706-6 : 1917 = 1700-6 : 1706'6 + 210-4 = smallest 

 consonant interval. 



(12) RE, : MI, = 2304 : 2560 consonant. Narrowed the interval 

 by lowering MI, of 2560 v. d to 2549 then 



RE, : MI, = 2304 : 2549 ■ = 2304 : 2304 + 245 = smallest con- 

 sonant interval. 



(13) Mi, : Fork No. 11,= 2560 : 2816 = 2560 : 2560 + 256 is just 

 perceptibly rough. 



(14) Fork 11 : SOL, ='2816 : 3072 slightly dissonant. Increased 

 interval by lowering Fork 11 of 2816 v. d. to 2806 then 

 Fork 1 1 : SOL, = 2806 : 3072 = 2806 : 2806 + 266 = smallest 

 consonant interval. 



In the experiments just described the intervals of the tones 

 that gave consonance were made by simple tones, of small 

 intensity and free from the slightest trace of the upper partial 

 tones of the forks, and the two forks were vibrated so that 

 they gave, as near as I could judge, the same intensity of 



