Does an accidental in the right hand influence the left?
Inasmuch as piano music is written in score form, the two staffs are as independent of each other as are the staffs in an orchestral score. We may, in cases of suspected misprints, draw certain inferences from one staff to the other, provided that they are justified by the prevailing harmony. As a rule, the two staffs are independent of each other in regard to accidental chromatic signs.
Why Two Names for the "Same" Key?
I am often asked why there must be fifteen keys in music instead of twelve—that is, why not always write in B instead of C-flat, in F-sharp instead of G-flat, in D-flat instead of C-sharp, or vice versa? I can only say that the circle of fifths would not be complete without the seven scales in sharps and the seven in flats: but Bach does not use all the fifteen keys in his Forty-eight Preludes and Fugues, omitting entirely, in the major keys, G-flat, D-flat, and C-flat, and, in the minor keys, A-sharp and A-flat. Are compositions in sharps considered more brilliant than those in flats? Do composers consider modulation in selecting their key?
The answer to your question hinges upon whether you recognize in music mere tone-play or whether you concede a mental and psychic side to it. In the former case the mode of spelling a tone C-sharp or D-flat would be, indeed, irrelevant. But in the latter case you must admit the necessity of a musical orthography qualified to convey distinct tonal meanings and musical thoughts to the reader and to the player. Though there is in the tempered scale no difference between C-sharp and D-flat, the musical reader will conceive them as different from one another, partly because of their connection with other related harmonies. These determine usually the composer's selection in cases of enharmonic identities. In the script of human language you will find an analogy than which none could be more perfect. In English there are, for instance, "to," "too," and "two"; words in which the spelling alone, and not the sound of pronunciation, conveys the different meanings of the words.
The Meaning and Use of "Motif"
What is the meaning of a "motif"? What does a dash mean over a note? What is the best book of instruction for a beginner, a child of ten?
A motif is the germ of a theme. A theme may be composed of reiterations of a motif, or by grouping several motifs together; it may also combine both modes of procedure. The most glorious exemplification of construction by reiteration of a motif you will find in the opening theme of Beethoven's Fifth Symphony. A dash over a note enjoins the player to hold that note with the finger until it has received its full value. The best "instruction book" for a child is a good teacher who uses no instruction book, but imparts his knowledge to the child from out of his own inner consciousness.
Tied Staccato Notes
In playing notes written thus, is it permissible to slide the fingers from the keys or should there be only a clinging touch?