Lippincott's Magazine of Popular Literature and Science, Vol. 22, August, 1878Various
History
Lippincott's Magazine of Popular Literature and Science, Vol. 22, August, 1878
Various
Literature, Modern -- 19th century -- Periodicals; Science -- Periodicals
amused, "The idea of a pianist pretending to be fastidious about
concord in music! Why, the instrument at its best is a bundle of
discords." Both of these musicians were guilty of affectation; for,
although the piano's chords are slightly dissonant, the intervals of
the chromatic scale are made the same by the violin-player as by the
pianist. What right, then, has the former to complain? To be sure, the
violinist _can_ make his intervals absolutely correct: he _can_ play
the enharmonic scale, which one using any of the instruments with
fixed notes cannot do. But does he, practically? Does he not also make
the same note for C sharp and D flat? The violinist mentioned of
course alluded to the process called _equal temperament_, by which
piano-makers, to avoid an impracticable extent of keyboard, divide the
scale into eleven notes at equal intervals, each one being the twelfth
root of 2, or 1.05946. This destroys the distinction between the
semitones, and C sharp and D flat become the same note. Scientists
show us that they are different notes, easily distinguished by the
ear. Representing the vibrations for C as 1, we shall have--
C C# Db D D# Eb E, etc.
1 25/24 27/24 8/9 75/64 6/5 5/4, etc.
each note being increased by one twenty-fourth of itself, or in
absolute vibrations--
C C# Db D D# Eb E, etc.
261 271 271 293 305 303 326, etc.
This is the enharmonic scale, having twenty-one notes. The chromatic
has eleven, and the name--it may be remarked in passing--is from the
Greek word for "color" ([Greek: chroma]) because the old composers
wrote these notes in colors, and had them so printed. Not a bad idea,
surely: many a learner on the piano would be overjoyed to see all the
ugly flats and sharps on the staff in brilliant holiday dress.
There is no reason at this day, when science in all fields is making
such progress, why the ordinary music-teacher should have so limited a
knowledge of his subject. He should be able to explain the fundamental
principles of the different scales upon the theory of vibration, and
to so educate the apprehension of his pupils that they will not be
content with the imperfect catechisms of the music-books in vogue. And
with the adoption of a rational system of writing music, which will
reduce the time and labor of learning it to one half, there will be
time for the niceties of a science of such vast importance to the
culture--and, indirectly, to the moral progress--of the world.
MARIE HOWLAND.
SAMBO: A MAN AND A BROTHER.
"But," I said eagerly, "you do not deny that slavery was a curse to
the country--to Southerners most of all?"
Public-domain text, read in full here on John Shaqi.
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