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 29
Page 12
... higher than its trough is deep . Moreover the part DC of the crest is steeper than the part CB , while , in the trough , the parts AE and EB are equally steep . Sea - waves have the most varied shapes according to the direction and ...
... higher than its trough is deep . Moreover the part DC of the crest is steeper than the part CB , while , in the trough , the parts AE and EB are equally steep . Sea - waves have the most varied shapes according to the direction and ...
Page 64
... higher in pitch than the sound produced at the former . If we increase or diminish the velocity of rotation , both sounds will , of course , rise or fall proportionately , but the interval between them will remain unaffected and equal ...
... higher in pitch than the sound produced at the former . If we increase or diminish the velocity of rotation , both sounds will , of course , rise or fall proportionately , but the interval between them will remain unaffected and equal ...
Page 65
... higher sound makes exactly four vibrations during the time in which 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 ...
... higher sound makes exactly four vibrations during the time in which 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 ...
Page 66
... higher numbers in their vibration - fractions than the consonant intervals do ; the latter , with the solitary exception of the Minor Sixth , having nothing beyond 6 , while the former bring in 9 , 15 and 16 . 36. By the help of the ...
... higher numbers in their vibration - fractions than the consonant intervals do ; the latter , with the solitary exception of the Minor Sixth , having nothing beyond 6 , while the former bring in 9 , 15 and 16 . 36. By the help of the ...
Page 86
... higher the pitch of the fundamental tone , the fewer will the recognizable associated tones become , until , in the region above the notes are themselves approximately single tones . The causes of these differences will be explained ...
... higher the pitch of the fundamental tone , the fewer will the recognizable associated tones become , until , in the region above the notes are themselves approximately single tones . The causes of these differences will be explained ...
Other editions - View all
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
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.