Sound and Music: a Non-mathematical Treatise on the Physical Constitution of Musical Sounds and Harmony: Including the Chief Acoustical Discoveries of Professor Helmholtz |
From inside the book
Results 1-5 of 14
Page 29
... such cycles , included by the large brackets A and B , are shown in ( 1 ) . Each cycle is divided by the small brackets a , a and b , b ' into two parts . In a and b the distances between I. § 15. ] LONGITUDINAL VIBRATIONS . 29.
... such cycles , included by the large brackets A and B , are shown in ( 1 ) . Each cycle is divided by the small brackets a , a and b , b ' into two parts . In a and b the distances between I. § 15. ] LONGITUDINAL VIBRATIONS . 29.
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 A CH + 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 A CH + 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 ...
Other editions - View all
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
Popular passages
Page 7 - NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Page 25 - Pure gold throughout." — GUARDIAN. " Unquestionably the clearest and most complete elementary treatise on this subject that we possess in any language.
Page 9 - Jackson. — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.
Page 45 - AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge. 8vo.
Page 8 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth.
Page 2 - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students of the University. Second Edition, revised and enlarged. Crown 8vo.
Page 30 - Thudichum and Dupre. — A TREATISE ON THE ORIGIN, NATURE, AND VARIETIES OF WINE.
Page 29 - LESSONS IN ELEMENTARY CHEMISTRY, INORGANIC AND ORGANIC. By HENRY E. ROSCOE, FRS, Professor of Chemistry in Owens College, Manchester. With numerous Illustrations and Chromo-Litho of the Solar Spectrum, and of the Alkalies and Alkaline Earths. New Edition. Fcap. 8vo. 4*. 6d. , '* As a standard general text-book it deserves to take a leading place.
Page 4 - BOOLE— Works by G. BOOLE, DCL, FRS, late Professor of Mathematics in the Queen's University, Ireland. A TREATISE ON DIFFERENTIAL EQUATIONS. Third and Revised Edition.
Page 51 - Masson (Professor). — Works by DAVID MASSON, MA, Professor of Rhetoric and English Literature in the University of Edinburgh.