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 62
... pairs of notes forming the intervals laid down in our table do not all produce smooth and agreeable effects when sounded together . The following pairs blend pleasantly : 1—3 , 1—4 , 1—5 , 1—6 , 1—8 ; the remaining two , 1-2 and 1-7 ...
... pairs of notes forming the intervals laid down in our table do not all produce smooth and agreeable effects when sounded together . The following pairs blend pleasantly : 1—3 , 1—4 , 1—5 , 1—6 , 1—8 ; the remaining two , 1-2 and 1-7 ...
Page 63
... pair of notes which form any one of them successively sounded , he may at once be able to name the interval . 33. The Syren enables us to obtain simple nu- merical measures of the intervals exhibited on this page . Let a second circular ...
... pair of notes which form any one of them successively sounded , he may at once be able to name the interval . 33. The Syren enables us to obtain simple nu- merical measures of the intervals exhibited on this page . Let a second circular ...
Page 72
... pair of to and fro impulses during each complete oscillation of the pendulum . We have a simple in- stance of such a proceeding in the way in which a couple of boys set a heavily laden swing in violent motion . They stand facing each ...
... pair of to and fro impulses during each complete oscillation of the pendulum . We have a simple in- stance of such a proceeding in the way in which a couple of boys set a heavily laden swing in violent motion . They stand facing each ...
Page 74
... pair of such impulses is applied regularly during each complete vibration of B , since they are due to the vibrations of A , which is in unison with B. Further , for the small extent of vibration with which we have here to deal , the ...
... pair of such impulses is applied regularly during each complete vibration of B , since they are due to the vibrations of A , which is in unison with B. Further , for the small extent of vibration with which we have here to deal , the ...
Page 101
... pairs of consecutive nodes are all equal , each being a single pulse - length , i.e. half a wave - length , of either series . Two pulse - lengths , as gk and km , give three nodes g , k , and m ; three pulse - lengths four nodes , and ...
... pairs of consecutive nodes are all equal , each being a single pulse - length , i.e. half a wave - length , of either series . Two pulse - lengths , as gk and km , give three nodes g , k , and m ; three pulse - lengths four nodes , and ...
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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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