This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1835 Excerpt: ...and 1 semitone, and is flatter than the true fifth. J On account of the imperfection M instruments with 12 or even 24 uota, the tuner adopts a temperament V taking the fifths too flat; by which the errors are masked or compensated W ascending and descending.. In tuning by fifths, from C to G, aw G to d, and from d to D ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1835 Excerpt: ...and 1 semitone, and is flatter than the true fifth. J On account of the imperfection M instruments with 12 or even 24 uota, the tuner adopts a temperament V taking the fifths too flat; by which the errors are masked or compensated W ascending and descending.. In tuning by fifths, from C to G, aw G to d, and from d to D, C D is a mam interval. But, tuning A as flftn to u, and e as fifth to A, then E downward, as octave to e, would be major to 1A and the intervals C E by two major tones, and E much too sharp, ft however, E be tuned as major third to ii the interval D E is less than the former Fewer than 30 vibrations in a second D E, and, therefore, the minor tone, give no sound, and when the vibrations Then the difference between the first exceed 7520 in a second, the tones cease and second D E is The Comma. to be discriminated. The exact natural divisions are not The artificial commas beg-in at 612, tones and semitones, for the longer in-and diminish to 0, or M on each note, tervals of semitones are greater than Euler makes A 6000, F 7500, and E half. C to D is therefore called a tone 8000; and the commas of those notes major, D to E a tone minor', E to F a 451, 254, and 197. semitone, F to G tone major, G to A Tones may, it is said, be discrimi tone minor, A to B tone major, and B nated up to 14,000 vibrations per se to C semitone; that is, three major cond. Hence, as a string in C gives 480 tones, two minors, and two diatonic vibrations, sound is capable of express semitones. ing 9 octaves between 30 vibrations, 3 Three chords, the tonic, or key-note, lower than the staff, and 4 above it. third and fifth, the dominant, the se-Adagio is slow time; andante, middle cond and seventh, and the subdominant, time; allegro, quick time. In adagio, the fourth and si...
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