. Carnegie Institution of Washington publication. 144 THE STUDY OF SPEKCH CURVES. Table of Results of Frictional Analysis of Figure 121. - •3 OS a 6 c 9 r a b c 1 r 1 + + 294 294 10 + 71 7 ? + 24 A - 262 131 11 + 42 4 8 + 256 85 12 0 + 0 0 4 + 69 17 13 + + 257 20 5 + 68 14 14 - 166 12 6 + + 329 55 15 - 95 6 7 - + 45 6 16 + 45 3 8 - 1 .9 + 53 7 17 + 6 0 9 - + 72 8 18 + 0 276 1
. Carnegie Institution of Washington publication. 144 THE STUDY OF SPEKCH CURVES. Table of Results of Frictional Analysis of Figure 121. - •3 OS a 6 c 9 r a b c 1 r 1 + + 294 294 10 + 71 7 ? + 24 A - 262 131 11 + 42 4 8 + 256 85 12 0 + 0 0 4 + 69 17 13 + + 257 20 5 + 68 14 14 - 166 12 6 + + 329 55 15 - 95 6 7 - + 45 6 16 + 45 3 8 - 1 .9 + 53 7 17 + 6 0 9 - + 72 8 18 + 0 276 15 To calculate the inharmonics we may follow the rule given above (p. 81) as a first suggestion. We find minima at , , , and , which we divide in the usual way. For the first group we have ()+()+() + ()+()+()+()+() + () ++++ + ++ = , indicating a component with wave-length 360mm. For the other groups we find in like manner , , , and (since the series is cut off at a rise) Taking j of the maximum as the amplitude of each com- =- ponent we have , , , , and as the set of amplitudes. Two modifications suggest themselves. As indicated by figure 76, the harmonic elements that are produced by an inharmonic fall off steadily according to a definite law. We can not attempt to apply the law here, but we see at once that the series Fig. 127.—Actual components of figure 121. of amplitudes fails tO fall from beyond as it must do if only the inharmonic is present; there must be another tone at or near the 6th harmonic with the ampU- tude for the 6th partial. We can therefore treat as a minimum and divide it in the ratio of its neighbors. We then have the com- ponent with the wave-length and the assumed amplitude We also observe that the amphtude falls from to ,. Please note that these imag
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