1873.] 149 [Chase. 



I have already shown {ante, xii, 406) that the radiating force at the 

 Sun's surface, is directly comparable with the gravitating force at the 

 surfaces of the Earth and Jupiter. This fact has suggested a reference 

 of balancing forces to the distance (,">) from the Sun's centre at which 

 the luminous and gravitating velocities would be equal, similar to my pre- 

 vious reference of the gravitating forces of different masses, to the 

 distance from a planetary centre at which satellite and orbital velocities 

 would be equal. 



If we take Norton's values of the astronomical elements, and suppose 

 the Sun's mass concentrated in a single point, 

 425,061.5 

 8 = (183,454 -f- 265.52)* = - 89041 miles - 



The circumference in which gravity would give a uniform velocity 



equivalent to that of light, is, therefore, 5.5946 miles, and each circular 



5 5946 1 



oscillation would be performed in - _ = second. The time of 



183,454 32791 



solar rotation, (2,174,425 seconds) is equivalent to (2,174,425 X 32791 =-) 



71,301,570,175 primary gravity-oscilliations (,5). 



The number of centres of luminous undulations in any sphere is pro- 

 portioned to tt 3 /' ; if we divide - 3 o by ft we obtain .0000245 in., which 

 corresponds very closely with the wave length of the extreme red ray 

 (.0000266). 



Again, if we divide the time of solar rotation by - X the square of the 

 time of a primary gravity-oscillation, we obtain 



(2,174,425 - p-i^jj, =) 744 X 10 12 , 



which corresponds nearly with the number of oscillations of the ex- 

 treme violet ray in one second (727 X 10 12 ). 



the Gamuts of sound and light. 



By Pliny Earle Chase. 

 {Read before the American Philosophical Society, March 21, 1873.) 



The evidences of planetary annuli of balancing forces may be still fur- 

 ther supplemented by a comparison of the visible with the audible waves. 



Various correspondences have been pointed out between the scale of 

 color and musical scales, but Ponton has shown (Quarterly Journal of 

 Science, No. XXXVII, pp. 91-103) that the agreement is not so close as 

 has been sometimes supposed. There are, however, some interesting 

 relations which seem to show an underlying harmonic law, which is par- 

 tially obscured by want of homogeneity, either in the solar atmosphere, 

 or in the asthereal medium, or in both. 



