Sound and Music: a Non-mathematical Treatise on the Physical Constitution of Musical Sounds and Harmony: Including the Chief Acoustical Discoveries of Professor Helmholtz |
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Page xi
... periods , § 74 - Two sounds producing silence , § 75 - Beats of simple tones , § 76 - Graphic representation of beats , § 77 - Experimental study of beats , § 78 . CHAPTER VIII . ON CONCORD AND DISCORD . Helmholtz's discovery of the ...
... periods , § 74 - Two sounds producing silence , § 75 - Beats of simple tones , § 76 - Graphic representation of beats , § 77 - Experimental study of beats , § 78 . CHAPTER VIII . ON CONCORD AND DISCORD . Helmholtz's discovery of the ...
Page 15
... period during which the wave traverses a horizontal dis- tance equal to its own wave - length . In ( 1 ) , the front of the wave has just reached the drop pre- viously at rest in the level - line represented by dots in the figure . In ...
... period during which the wave traverses a horizontal dis- tance equal to its own wave - length . In ( 1 ) , the front of the wave has just reached the drop pre- viously at rest in the level - line represented by dots in the figure . In ...
Page 17
... will occupy different positions in those paths corresponding to the late- ness of their several starts . The drops in the sea- surface , being , in this manner , thrown successively T. 2 I. §9 . ] VIBRATION - PERIOD AND WAVE - LENGTH . 17.
... will occupy different positions in those paths corresponding to the late- ness of their several starts . The drops in the sea- surface , being , in this manner , thrown successively T. 2 I. §9 . ] VIBRATION - PERIOD AND WAVE - LENGTH . 17.
Page 18
... period . ' Thus , to continuous equal waves correspond continuous periodic drop- vibrations . 10. We will next compare the periods of the drop - vibrations corresponding to waves of different lengths advancing with equal velocities . In ...
... period . ' Thus , to continuous equal waves correspond continuous periodic drop- vibrations . 10. We will next compare the periods of the drop - vibrations corresponding to waves of different lengths advancing with equal velocities . In ...
Page 21
... period may be performed in an indefinitely numerous variety of modes . Let us now compare the positions of a drop at successive equal intervals of time , when cooperating in the transmission of waves of different forms . Fig . 10 . 7 8 ...
... period may be performed in an indefinitely numerous variety of modes . Let us now compare the positions of a drop at successive equal intervals of time , when cooperating in the transmission of waves of different forms . Fig . 10 . 7 8 ...
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Common terms and phrases
absolute pitch Accordingly air-column assigned called chords coincides combination-tone complete composite sounds concord consonance and dissonance contains corresponding crest Crown 8vo direction discord dissonance effect English equal temperament exactly fact fcap Fifth fixed follows fork forms of vibration Fourth fundamental tone fundamental-tone give rise harmonium heard Helmholtz Hence human voice instrument intensity inversion length level-line loudness lower Major scale Major Third ment middle Minor Seventh Minor Sixth mode of vibration motion musical sound nodes notation obtained octave open pipe original overtones pair partial-tones particle pendulum pianoforte piston pitch position present produced prong pulse-length rapid rarefaction reader resonance resonance-boxes result says scale semi-tone shown simple tones single musical stopped pipe string suppose theory tion tonic Tonic Sol-Fa triads trough tube tuning tuning-fork unison ventral segments vibration-fraction vibration-numbers vibrations per second volume wave-form wave-length wires
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