. Carnegie Institution of Washington publication. EXAMPLES OF VOWEL ANALYSIS. 141 1 that of the fundamental, or and Taking the maximum ordinate as the amplitude of the inharmonic we have as a result the three sinusoids with the wave-lengths , , and the amplitudes , , These inharmonic components are given in figure Observed s logiS values. 0 168 168 24 144 4 .9698 162 142 4 . 60 102 4 .6250 93 4 .5326 64 89 4 .4886 Fig. 124.—Curve of figure 121 with friction eliminated For an analysis into frictional sinusoids (Chapter VII)
. Carnegie Institution of Washington publication. EXAMPLES OF VOWEL ANALYSIS. 141 1 that of the fundamental, or and Taking the maximum ordinate as the amplitude of the inharmonic we have as a result the three sinusoids with the wave-lengths , , and the amplitudes , , These inharmonic components are given in figure Observed s logiS values. 0 168 168 24 144 4 .9698 162 142 4 . 60 102 4 .6250 93 4 .5326 64 89 4 .4886 Fig. 124.—Curve of figure 121 with friction eliminated For an analysis into frictional sinusoids (Chapter VII) the factor of friction (p. 106) must be found. Using the maxima and minima we perform the adjacent calculation. The first cohimn contains the maxima and minima, the second the differences between successive values. The third gives the natural logarithms. From the last column we have to calculate ^_ g 5( - ) +3( - ) + ( ) _q ^g-,^ 6 X 35 Since the period T of the vibration from which we calculate d is very closely 100 we have 2d £=y^= The calculation rests on the assumption that for this purpose we can treat the given curve like a single frictional sinusoid. If it were such a curve the differences between the successive maxima and minima would have a constant relation. In the given curve the differences are 168, 144, 138, 102, 93, 89; the relation of each to the following one is , , , , respectively. Instead of being constant the relation varies considerably. It is due to the fact that the curve is compounded of several simpler curves and the maxima and minima result from their. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Carnegie Institution of Washington. Washington, Carnegie Institution of Washington
Size: 2036px × 1228px
Photo credit: © Book Worm / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthorcarnegie, bookcentury1900, bookdecade1900, bookyear1906
