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 57
... lower limit of musical sounds as situated in the immediate neigh- bourhood of this degree of pitch . For some distance above the limit the musical character continues very imperfect , and it is not until we reach 414 vibrations per ...
... lower limit of musical sounds as situated in the immediate neigh- bourhood of this degree of pitch . For some distance above the limit the musical character continues very imperfect , and it is not until we reach 414 vibrations per ...
Page 64
... lower . Next let a row of 12 holes be punched in the disc of the Syren . Taking this row with the 8 - hole row , and proceeding as in the last instance , we find that the more acute sound forms a Fifth with the graver one . The numbers ...
... lower . Next let a row of 12 holes be punched in the disc of the Syren . Taking this row with the 8 - hole row , and proceeding as in the last instance , we find that the more acute sound forms a Fifth with the graver one . The numbers ...
Page 65
... lower sound makes three . 34. The results just obtained may be somewhat more concisely stated . During one second of time , the upper of two sounds differing by an octave makes a number of vibrations , which is to the number made by the ...
... lower sound makes three . 34. The results just obtained may be somewhat more concisely stated . During one second of time , the upper of two sounds differing by an octave makes a number of vibrations , which is to the number made by the ...
Page 85
... lower note is at once extinguished , but , we now hear its octave sounding with considerable force from the wires of If we permit the damper to fall back on these , by releasing the note hitherto held down , the whole sound is ...
... lower note is at once extinguished , but , we now hear its octave sounding with considerable force from the wires of If we permit the damper to fall back on these , by releasing the note hitherto held down , the whole sound is ...
Page 86
... lower half of the instrument , and dimi- nishing in its upper half , until , at last , no analysis is called for . 45. The above resolution has been effected by means of the principle of resonance . It can , however , be performed by ...
... lower half of the instrument , and dimi- nishing in its upper half , until , at last , no analysis is called for . 45. The above resolution has been effected by means of the principle of resonance . It can , however , be performed by ...
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Common terms and phrases
absolute pitch Accordingly air-column amplitude beats Cambridge chapters chords clang cloth coincides College combination-tone complete vibration concord consonance and dissonance contains corresponding crest Crown 8vo direction disc discord dissonance distance Edition effect ELEMENTARY TREATISE equal temperament exactly examine fact Fifth follows fork forms of vibration Fourth fundamental tone give rise harmonium heard Helmholtz Hence higher human voice Illustrations instrument intensity inversion 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 produced Professor prong rapid rarefaction resonance result scale shown simple tones single musical stopped pipe string student suppose swing Syren theory tion tonic Tonic Sol-Fa triads trough tube tuning tuning-fork unison ventral segments vibration-fraction vibration-number vibrations per second wave-form wave-length wires
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