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[[left  page]]

Piano playing is made up of hundreds of things but the whole is motion & can of course be represented mathmatically. We will take some of them. Let going along this big line AB be piano playing perfect which no man ever did ever could or should ever want to.  He had better cry for the moon. It would be of more use to him. 

[[image]]
A ————— B

      \  [[convex curved line from H going upward halfway between A & B, not on line ]]
G ————— H
       ∕ [[convex curved line from E to H]]
   ∕
E ————— F
       
[[curved line starts near E, slowly sloping downward about 3/4 of way, then down to D ]]
C ______ D
   °       [[an "o" shape just after C]]
[[/image]]

[[2 lines of illegible backwards text, looks like it bleeds through previous page]]



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Suppose the fellow at O knows nothing at all. Now being able to trill with the third & forth finger would certainly be a help on towards perfect playing in the line AB. 

CD is perfect trill playing and the fellow is soon running close to it but if he plays forever he cant do it exactly.  He is still very far though from perfect playing AB. 

Now knowing the scales would be a good thing & would give him another [[strikethrough]] hist [[/strikethrough]] hoist & his new curve would soon be running [[strikethrough]] parallel [[/strikethrough]] near parellel with CD. 

Then he learns Mozarts & Beethovens Sonatas Look at his curve soon running near parallel with GH & now close to it. He will soon start up again with something else &c &c.

Now this man was very foolish to waste so much time on his trill. He ought to have started on the most important thing & kept only to those curves and parts of curves that are taking him up the fastest to AB.  The important thing advances him in all the little things without his knowing it or it giving him trouble & besides as he gets right close to AB how much better is he able to judge of what he wants how much clearer does he see all the curves where they are going fast to AB where slow. & if he finds himself in want of a part of a curve to help him on why he [[strikethrough]] you [[/strikethrough]] looks back & takes [[strikethrough]] th [[/strikethrough]] a piece of it just where it is coming almost straight to AB.  When you feel that you are working hard & dont seem to be improving but, look out you are on one of these curves in its slow part where it is going on forever without touching. Look out for these beaten tracks [[strikethrough]] with [[/strikethrough]] which at last are hard to get out of. Dont think that you are the only