MODERN PIANO TUNING AND ALLIED ARTS INCLUDING Principles and PracticeofPiano Tuning, Regulationof Piano Action, Repair of the Piano, Elementary Princi ples of Player-Piano Pneumatics, General Construction of PlayerMechanism,and Repairof Player Mechanism BY WILLIAM BRAID WHITE Technical Editor of the Music Trad~ Review, New York. Author of"Theoryand PracticeofPianoforte Build· inlr," "The Player·Piano Up·to-date," and other works WITHDRAWINGS, DIAGRAMS, TABLES, NOTES ANDANINDEX NEW YORK EDWARD LYMAN BILL, INCORPORATED 1917 ERRATUM Page 300. For "SectionalView ofDouble~valve Action" read "Sectional Vie"W of Single-valve Action." OMIT the following words: 5a Secondary Pouch. 7a Secondary Reduced Pressure Chamber. 8a Secondary Valve. 11 Primary-Secondary Channel. , t iI' I, TO THE CONFERENCE OF AMERICAN PIANO TECHNICIANS MEETING IN CHICAGO. U. S. A. Copyright, 1917, by Whose valuableand exhaustivediscussions EDWARD LYMAN BILL, INcoRPo'RATED mark an epochinthedevelopmentof American musicaltechnology, Entered atStationers' Hall This Book is, byonewho hasthehonorof membershipinthatConference, RESPECTFULLY AND AFFECTIONATELY DEDICATED I II il j I I I L I i PREFATORY NOTE In writing this book, I have tried to do two things which are always thought to be admirable but seldom thought to be conjunctible. I have tried to set forth the theory of Equal Tempera ment in a manner at once correct and simple. Nimultaneously I have tried to construct and ex pound a method for the practical application of that theory in practical tuning, equally correct, (Hlually simple and yet thoroughly practical. The construction of the piano has not in this volume been treated with minuteness of detail, ror this task I have already been able to perform in a former treatise; but in respect of the sound hoard, the strings, the hammers and the action, t.ho subject-matter has been set forth quite (~)aborately,and some novel hypotheses have been advanced, based on mature study, research and l'xperience. Here also, however, the theoretical hils been justifiedby the practical, and in no sense hllve I yielded to the temptation to square facts t.o theories. iii ., v prefatory Note iv Prefatory Note ~\lidance of piano tuners have been either so In the practical matters of piano and player theoretical that their interest is academic purely; repairing, I have presented in these pages the or superficial that accuracy in them is through SO results of nineteen years' practical and theoreti out sacrificed. I have tried to avoid both er cal work, undertaken under a variety'of condi rors, and to provide both a scientifically correct I tions and circumstances. In writing this part f t(lxt-book for teaching and a pocket guide for of the volume I have had the inestimable advan I the daily study and use of the working tuner. tage ofthe suggestions and experiences of many 'I'lle program has been ambitious; and I am con of the best American tuners, as these have been I l'wious, now that the task is finished, how far I. gathered from past numbers of the Music Trade Hhort of perfection it falls. But I think it fills Review, the Technical Department of which pa want; andI ask of allpractitioners and students It per I have had the honor to edit and conduct, of the noble art of tuning their indulgence to without intermission, for fourteen years. wards its faults and their approval of any vir The preliminary treatment of the Acoustical t.ucs it may appear to them to possess. basis of piano tuning may seem elaborate; but I rrhe writing of the volume began in the winter I have tried to handle the subject-matter not only ! of 1914 and was completed during the spring accurately but also simply; and as briefly as its of 1915. Various causes have operated, how nature permits. The need for really accurate in IIvcr, to retard its publication; notably the sud formation here justifies whatever elaboration of den passing of the honored man whose en treatment has been given. (l(mragement and kindness made possible the I desire here to express my thanks to Mr. J. C. publication of the other books which have ap " Miller for permission to utilize some of his peared over my name. It is however fortunate i valuable calculations, to Mr. Arthur Lund, E. E., tllllt the successor of ColonelBill, the corporation for drawings of acoustical curves, and to my wllich now bears his name and is carrying on so brother, Mr. H. Sidney White, M. E., for dia I'Illccessfully his fine work, has been equally de grams of mechanical details. Kirous with me, of pushing the book to publica- Most books intended for the instruction and I II' I:''!· VI Prefatory Note tion. A thorough rereading of the manuscript, however, during the interim, has suggested many slight changes and a number of explanatorynotes, I which have been incorporated with, or appended to, the text. Contents A new, and I hope valuable, feature is the In dex, which I have tried to make copious and use PAGE PREFATORY NOTE iii ful, to the student and to the tuner alike. CHAPTER I. ,Mechanics of the Musical Scale 1 WILLIAM BRAID WHITE. Chicago, 1917. CHAPTER II. On the Vibration of a Piano String 36 I . CHAPTER III. Temperament 72 CHAPTER IV. Practical Tuning in Equal ! I Temperament. . . . 95 CHAPTER V. Mechanical Technique of Tuning. . . . . . 114 CHAPTER VI. The Modern Piano. . . 130 :r CHAPTER VII. Sound-Board and Strings 152 CHAPTER VIII. The Action and Its Regula- tion. . . . . . . 184 CHAPTER IX. The Hammer and Its Rela- tion to Tone . . . . 223 CHAPTER X. Repair of the Piano. . . 244 CHAPTER XI. Elementary Pneumatics . 261 If.l. Contents CHAPTER Xll. General Construction of PAGE Player Mechanisms • . 284 I ! CHAPTER XIll. Repair of Player Mech anism . . . . • . 310 CHAPTER I. BIBLIOGRAPHICAL NOTE • • • • • • • 329 MECHANICS OF THE MUSICAL SCALE. INDEX: • 331 He who undertakes to master the art of piano i tuning must have some acquaintance, exact rather than comprehensive, with that general body of knowledge known as Acoustics. This termis used t.o designate the Science of the phenomena known I Sound. In other words, by the term Acoustics I IlS I we mean the body of facts, laws and rules which has been brought together by those who have sys tematically observed Sound and have collected I t.heir observations in some intelligible form. II i 'I I'jano Tuning itself, as an Art, is merely one of I t.he branches of Practical Acoustics; and in order :11 that the Branch should be understood it is neces I II,I":,,"' Hllry to understand also the Trunk, and even the ,1 II;1I'[ Root. ,I, ' But I might as well begin by saying that no ! , I ' hody need be frightened by the above paragraph. I am not proposing to make any excursions into realms of thought too rarefied for the capacity of the man who is likely to read this book. I sim- I i1f/' d{i ,,1 )1 ,'ili! ill (~,l "I 2 Modern Piano Tuning. Mechanics of the Musical Scale. 3 ply ask that man to take my word for it that I In fact, lack of continuity, grating effect and gen am going to be perfectly practical and intelligible, pral fragmentariness are the distinguishing fea and in fact shall probably make him conclude that tures of noises, as distinguished from other he has all along been a theorist without knowing H(mnds. it; just as Moliere's M. Jourdain discovered that If now we listen to a orchestra tuning up he had been speaking prose all his life without roughly off-stage, the extraordinary medley of knowing it. The only difference has been that Hounds which results, may-and frequently does my reader has not called it "theory." He has have the effect of one great noise; although we called it "knowing the business." know that each of the single sounds in the up' Anyhow, we are going to begin by discovering ,'oar is, by itself, musical. So it appears that something about Sound. Weare in fact to make noises may be the result of the chance mixture a little excursion into the delectable kingdom of or , many sounds not in themselves noises, but Acoustics. !, which may happen to be thrown together without What is Sound? When a street-car runs over Hystem or order. Lack of order, in fact, marks a crossing where another line intersects, we are t.he first great distinction betweennoises and other conscious of a series of grinding crashes exceed- ., Hounds. ingly unpleasant to hear, which we attribute per [f now we listen to the deep tone of a steamer's haps to fiat tires on the wheels or to uneven lay- Hiren, or of a locomotive whistle, we are conscious ing of the intersecting trackage. The most or a different kind of sound. Here is the im prominent feature of such a series of noises is mediate impression of something definite and con their peculiarly grating and peculiarly spasmodic tinuous, something that has a form and shape of character. They are on the one hand discontinu- it.s own, as it were, and that holds the same form ous, choppy and fragmentary, and on the other HO long as its manifestation persists. If, in fact, hand, grating, unpleasant to the hearing, and to we continue to seek such sounds, we shall find that tally lacking in any but an irritant effect. These what are called Musical Sounds are simply more are the sort of sounds we speak of as "noise." porfect examples of the continuity, the order and 4 Modern Piano Tuning. Mechanics of the Musical Beale. 5 the definite character which we noticed in the lo thought ofas the form in which we perceive some comotive whistle's sound. The more highly per thing; the form, in fact, in which we perceive the fected the musical instrument, the more perfectly behavior of certain bodies, which behavior could will the sounds evoked by it possess the qualities not be perceived in any other way. Sound then of continuity, order and definite form. can be considered only from the view-point of the Continuity, persistence and definiteness, then, physical laws which govern the behavior of the are the features which distinguish Musical Sounds bodies in question. The laws which govern that from Noises. .And there are therefore only two sort of behavior which we perceive as Sound, kinds of sounds: musical sounds and noises. alone form the subject of Acoustics. Why we Now, what is SoundY The one way in which should experience these perceptions as Sound we can know it, plainly, is by becoming conscious rather than as Light or Heat is not a question of what we call the Sensation of Sound; that is, to be decided by Acoustics; is not a problem of by hearing it. If one considers the matter it be the natural sciences, but of Metaphysics. comes plain that without the ability to hear there Limited therefore to a strictly mechanical in would be no Sound in the world. Sound cannot vestigation, let us consider the production of exist except in so far as there previously exist Sound from this view-point. Suppose that I capacities for hearing it. The conditions that strike a tuning-fork against the knee and hold it produce Sound are obviously possible, as we shall to the ear. I am conscious of a sound only mod soon see, to an interminable extent in all direc erate in intensity but of persistent and quite defi tions; yet what we may call the range of audible nite character, agreeable, and what we call "musi Sound is very small indeed. We canhear so very caL" Noone has any hesitation in calling this little of the conceivably hearable material; if I a "musical sound." But what produces it, physi may use so rough an expression. cally speakingT We can discover this for our So it becomes quite plain that Sound cannot be selves by making a simple experiment. considered as something in itself, existing in the By lightly touching the prongs of the fork while sounding body apart from us, but must rather be it is sounding I discover them to be in a state of \, 6 Modern Piano Tuning. Mechanics of the Musical Scale. 7 vibration. If I examine them under a micro curve of sines or sinusoidal curve. By adjusting scope I shall perhaps be able to detect an exceed the experimental apparatus with sufficient exact ingly rapid vibratory motion. In order however ness it would be possible to find out how many to make sure of the existence of these unseen vi of these little waves are being traced out in any " brations, it is only necessary to obtain a sheet of given time. Each of these waves corresponds to glass and smoke one surface of it by passing it one vibration or pendulum-like back and forth mo over the flame of a candle. Then let a tuning tion ofthe fork. By examining the wavylinewith '\ fork be fitted with a very light needle point stuck close attention, we shall see that if the motion of on the end of one prong with a bit of wax, in such th·e glass sheet has been uniform, each sinusoid is identical in size with all the others, which in- 11111:,1nillirifliliVllIllllllllliiiilllllllllllIT'1 icFat .that the vibrations are periodic, that is to sa , recur at regular intervals and are of similar . idth or amplitude. . .We may therefore conclude from this one ex periment that the physical producer of musical FIGURE 1. sound is the excitation of the sounding body into a position that if the sheet of glass be placed periodic vibrations. parallel with the length of the fork, the needle Listen to the noise of the machinery in a saw point will be at right angles to both. mill. When the circular saw starts to bite 'at a Now set the fork to sounding, and hold it so piece of wood you hear a series of grating cracks, that the needle point lightly touches the smoked which almost instantly assume the character of a surface. Have a second person then move the complete definite musical sound, though rough in sheet of glass lengthwise while the fork is held character. As tlie saw bites deeper into the wood still. At once the needle-point will trace out a the sound becomes first, lower, then higher, until continuous wavy line, each wave being of that pe it mounts into a regular song. As the saw comes culiar symmetrical form known technically as a out through the wood the sounds mount quite high
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