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 viii
... result of independent study . TRINITY COLLEGE , CAMBRIDGE , June , 1873 . 1 Die Lehre von den Tonempfindungen . Dritte Ausgabe . Braunschweig . 1870. Of this profound and exhaustive treatise it is not too much to say that it does for ...
... result of independent study . TRINITY COLLEGE , CAMBRIDGE , June , 1873 . 1 Die Lehre von den Tonempfindungen . Dritte Ausgabe . Braunschweig . 1870. Of this profound and exhaustive treatise it is not too much to say that it does for ...
Page 3
... results from this experiment that Sound cannot travel in vacuo , but requires for its transmission a material medium of some kind . The air of the atmosphere is , in the vast majority of cases , the medium which con- veys to the ear the ...
... results from this experiment that Sound cannot travel in vacuo , but requires for its transmission a material medium of some kind . The air of the atmosphere is , in the vast majority of cases , the medium which con- veys to the ear the ...
Page 6
... result was that there were 76 in half a minute , i . e . 38 strokes and 38 echoes . A little consideration will show that the sound traversed the cloister and returned to the point of its origination regularly once in each interval ...
... result was that there were 76 in half a minute , i . e . 38 strokes and 38 echoes . A little consideration will show that the sound traversed the cloister and returned to the point of its origination regularly once in each interval ...
Page 20
... result thus ; the rate of drop - vibration is inversely proportional to the corresponding wave - length . The same reasoning will apply equally well to any other case ; the proposition , therefore , though derived from particular ...
... result thus ; the rate of drop - vibration is inversely proportional to the corresponding wave - length . The same reasoning will apply equally well to any other case ; the proposition , therefore , though derived from particular ...
Page 25
... resulting wave . By laying down more points along the line AB in Fig . 11 , we can get as many more points on the wave as we please , and should thus ultimately arrive at a continuous curved line . This is the wave - form resulting from ...
... resulting wave . By laying down more points along the line AB in Fig . 11 , we can get as many more points on the wave as we please , and should thus ultimately arrive at a continuous curved line . This is the wave - form resulting from ...
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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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