respecting Sound and Light.
43
Table xii. | |||||
A | B | C | |||
C B B♭ A G* G F* F E E♭ D C* C |
50000 53224 56131 59676 63148 66822 71041 74921 79752 83810 89304 94723 100000 |
1 C 2 G, F 3 D, B♭ 4 A, E♭ 5 E, A♭ 6 B, C* 7 F* |
+ .0013487 .0019006 .0024525 .0034641 .0044756 .0049353 .0053950 |
1 A, E 2 D, B 3 G, F* 4 C, C* 5 F, G* 6 B♭, E♭ |
- .0023603 .0029122 .0034641 .0044756 .0049353 .0053950 |
D | |||||
1 E♭, G*, C*, F* 2 F, B♭, E, B 3 C, G, D, A |
- .0000000 .0004597 .0011562 | ||||
A, shows the division of a monochord corresponding to each note, in the system proposed. B, the logarithm of the temperament of each of the major thirds. C, of the minor thirds. D, of the fifths; C and D being both negative. |
Thus, Sir, I have endeavoured to advance a few steps only, in the investigation of some very obscure but interesting subjects. As far as I know, most of these observations are new; but, if they should be found to have been already made by any other person, their repetition in a connected chain of inference may still be excusable. I am persuaded also, that at least some of the positions maintained are incontrovertibly consistent with truth and nature; but, should further experiments tend to confute any opinions that I have suggested, I shall relinquish them with as much readiness as I have long since abandoned the