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 8
... troughs , as if anchored in the position it happens to occupy . Hence , while the waves travel steadily forward horizontally , the drops of water composing them are in a state of swaying to - and - fro motion , each separate drop rising ...
... troughs , as if anchored in the position it happens to occupy . Hence , while the waves travel steadily forward horizontally , the drops of water composing them are in a state of swaying to - and - fro motion , each separate drop rising ...
Page 11
... trough AED . CF and GE are vertical straight lines through C and E ; HCK and LEM are horizontal straight lines through the same two points . The vertical distance between the lines HK and LM is called the breadth or amplitude of the ...
... trough AED . CF and GE are vertical straight lines through C and E ; HCK and LEM are horizontal straight lines through the same two points . The vertical distance between the lines HK and LM is called the breadth or amplitude of the ...
Page 12
... trough below it . In addition to the length and amplitude of the wave , we have one more element , its form . The wave in the figure has its crest shorter than its trough and higher than its trough is deep . Moreover the part DC of the ...
... trough below it . In addition to the length and amplitude of the wave , we have one more element , its form . The wave in the figure has its crest shorter than its trough and higher than its trough is deep . Moreover the part DC of the ...
Page 15
... trough in ( 6 ) , and at its lowest point in ( 7 ) , where it attains its greatest distance below the level - line . In ( 8 ) , it is on the back of the trough , and , in ( 9 ) , has once more returned to its starting - point in the ...
... trough in ( 6 ) , and at its lowest point in ( 7 ) , where it attains its greatest distance below the level - line . In ( 8 ) , it is on the back of the trough , and , in ( 9 ) , has once more returned to its starting - point in the ...
Page 16
... trough below it . But this , as was shown in § 6 , is equal to the amplitude of the wave . Hence extent of drop's vibration ' and ' amplitude of corresponding wave ' are only different ways of expressing the same thing . Let the line ...
... trough below it . But this , as was shown in § 6 , is equal to the amplitude of the wave . Hence extent of drop's vibration ' and ' amplitude of corresponding wave ' are only different ways of expressing the same thing . Let the line ...
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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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