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 97
... independently of each other , forming what are called ventral segments . We may also obtain forms with three , four , five , & c . , nodes , dividing the tube into four , five , six , & c T. 7 V. § 49. ] 97 FORMS OF VIBRATION .
... independently of each other , forming what are called ventral segments . We may also obtain forms with three , four , five , & c . , nodes , dividing the tube into four , five , six , & c T. 7 V. § 49. ] 97 FORMS OF VIBRATION .
Page 98
... segments , respectively . The stiffness of very short portions of the tube alone imposes a limit on the subdividing process . Let us examine the mechanical causes to which these effects are due . 50. If we unfasten one end of the tube ...
... segments , respectively . The stiffness of very short portions of the tube alone imposes a limit on the subdividing process . Let us examine the mechanical causes to which these effects are due . 50. If we unfasten one end of the tube ...
Page 103
... segments ; three times as fast with three segments , and so on . It is easy to confirm this by direct experiment , the swaying movement of the hand on the tube needing to be twice as rapid for a form of vibration with two segments as ...
... segments ; three times as fast with three segments , and so on . It is easy to confirm this by direct experiment , the swaying movement of the hand on the tube needing to be twice as rapid for a form of vibration with two segments as ...
Page 104
... segments . Let us take as an example the two tubes AB , CD , Fig . 36 , each divided by three nodes into four A CH + Fig.36 B ventral segments . By what has been already shown , the time of vibration of either tube will be that which a ...
... segments . Let us take as an example the two tubes AB , CD , Fig . 36 , each divided by three nodes into four A CH + Fig.36 B ventral segments . By what has been already shown , the time of vibration of either tube will be that which a ...
Page 105
... segment as in Fig . 26. This is the form of slowest vibration with a string of given length , material and tension ... segments , it vi- brates twice , with three , thrice , with four , four times , as fast as in the form with one ...
... segment as in Fig . 26. This is the form of slowest vibration with a string of given length , material and tension ... segments , it vi- brates twice , with three , thrice , with four , four times , as fast as in the form with one ...
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Common terms and phrases
absolute pitch Accordingly air-column Cambridge chapters chords clang cloth coincides College combination-tone complete composite sounds concord condensation consonance and dissonance contains corresponding crest Crown 8vo direction discord dissonance effect ELEMENTARY TREATISE equal temperament exactly examine fact Fifth follows fork forms of vibration Fourth fundamental tone harmonium heard Helmholtz Hence higher human voice Illustrations instrument intensity inversion Lectures length level-line loudness lower Major scale Major Third ment 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 principles produced Professor prong pulse pulse-length rapid rarefaction resonance result scale shown simple tones single musical stopped pipe string student swing theory tion tonic Tonic Sol-Fa triads trough tube tuning tuning-fork unison ventral segments vibration-fraction vibration-numbers vibrations per second wave-form wires
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