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 60
... we may conveniently regard the whole scale of pitch as divided into a series of octaves , taken upwards and downwards from some one sound arbitrarily selected . Narrower in- tervals situated 60 [ II . § 31 . INTERVALS .
... we may conveniently regard the whole scale of pitch as divided into a series of octaves , taken upwards and downwards from some one sound arbitrarily selected . Narrower in- tervals situated 60 [ II . § 31 . INTERVALS .
Page 103
... divided . It moves most slowly in the form shown in Fig . 26 with but a single seg- ment ; twice as fast in that of Fig . 27 , when divided into two segments ; three times as fast with three segments , and so on . It is easy to confirm ...
... divided . It moves most slowly in the form shown in Fig . 26 with but a single seg- ment ; twice as fast in that of Fig . 27 , when divided into two segments ; three times as fast with three segments , and so on . It is easy to confirm ...
Page 104
... divided into the same number of segments . Let us take as an example the two tubes AB , CD , Fig . 36 , each divided by three nodes into four Ar CH 2 Fig.36 B ventral segments . By what has been already shown , the time of vibration of ...
... divided into the same number of segments . Let us take as an example the two tubes AB , CD , Fig . 36 , each divided by three nodes into four Ar CH 2 Fig.36 B ventral segments . By what has been already shown , the time of vibration of ...
Page 109
... divided into two parts in the proportion of 2 to 1 ; that a Fifth was obtained by division in the proportion of 3 to 2 , and so forth . The relations existing between these lengths and the vibration - numbers of the notes produced by ...
... divided into two parts in the proportion of 2 to 1 ; that a Fifth was obtained by division in the proportion of 3 to 2 , and so forth . The relations existing between these lengths and the vibration - numbers of the notes produced by ...
Page 120
... divided , in the four cases , are , therefore , proportional to 1 , 2 , and 31 , i.e. to ,,, and , or to the whole numbers 1 , 3 , 5 , and 7 . in Now by § 53 it appears that the rate of vibration any form varies as the number of ...
... divided , in the four cases , are , therefore , proportional to 1 , 2 , and 31 , i.e. to ,,, and , or to the whole numbers 1 , 3 , 5 , and 7 . in Now by § 53 it appears that the rate of vibration any form varies as the number of ...
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Common terms and phrases
absolute pitch Accordingly air-column assigned called chords coincides combination-tone complete composite sounds concord consonance and dissonance contains corresponding crest Crown 8vo direction discord dissonance effect English equal temperament exactly fact fcap Fifth fixed follows fork forms of vibration Fourth fundamental tone fundamental-tone give rise harmonium heard Helmholtz Hence human voice instrument intensity inversion length level-line loudness lower Major scale Major Third ment middle 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 produced prong pulse-length rapid rarefaction reader resonance resonance-boxes result says scale semi-tone shown simple tones single musical stopped pipe string suppose theory tion tonic Tonic Sol-Fa triads trough tube tuning tuning-fork unison ventral segments vibration-fraction vibration-numbers vibrations per second volume wave-form wave-length wires
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