HANDBOOK OF ACOUSTICS - online book

A complete view of Acoustical Science & its bearings on music, for musicians & music students.

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QUESTIONS.
263
278.  How many new tones are required to form the Major Diatonic Scale of the new Key, when a transition of one remove to the right occurs ? What are they ? Show that your answer is eorrect.
279.  When a transition of one remove to the left occurs in a piece of music, show that two new tones will be required to form the Major Diatonic Scale of the new key.
280.  Show what new tones will be required to form the Major Diatonic Scale, when a piece of music changes suddenly from C to E.
281.  Show what new tones will be required, when a piece of music passes suddenly from the Key of C Major into that of Ab Major.
282.  If music in C Major passes through the Keys of F and, show that the C of this last Key is not of the same pitch as the original C.
283.  What is meant by temperament?
284.  Starting with d, if four true fifths be tuned upwards, and then two octaves downwards, show that the note thus obtained is one comma sharper than the true m.
285.  Show how the twelve notes of the Octave, in mean-tone tempera­ment, are determined.
286.  Why is mean-tone temperament so called ?
287.  Compare the Consonant intervals in mean-tone temperament with the same in true intonation.
288 What is the principle of Equal Temperament ?
289.  What is the Comma of Pythagoras ? How is it obtained ?
290.  Compare the consonant intervals in equal temperament with the same in true intonation.
291.  Compare the consonant intervals in equal, with the same in mean-tone temperament.
292.  What are the advantages and disadvantages of (1) mean-tone temperament, (2) equal temperament ?
293.   In equal temperament, if C=522, what should be the vibration number of
294.  Taking A=435, calculate the vibration numbers of the other eleven tones of the scale in equal temperament.
295.    Taking C=522-, calculate the vibration numbers of the notes of the diatonic scale in true intonation.
296.  Taking C=522, calculate the vibration numbers of the notes of the diatonic scale in equal temperament.
297.  Taking C=522, calculate the vibration numbers of the notes of the diatonic scale in mean-tone temperament.
298.  Ascertain the vibration numbers of question 295.
299.  Ascertain the vibration numbers of question 296.
300.   Ascertain the vibration numbers of < question 297.