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. 1881 Excerpt: ... into the relation of these successive notes to each other. The space from node to node has been called all through 'a ventral segment;' hence the space between the middle of a ventral segment and a node is a semi-ventral segment. You will readily bear in mind the law, that the number of vibrations is directly ...
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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. 1881 Excerpt: ... into the relation of these successive notes to each other. The space from node to node has been called all through 'a ventral segment;' hence the space between the middle of a ventral segment and a node is a semi-ventral segment. You will readily bear in mind the law, that the number of vibrations is directly proportional to the number of semi-ventral segments into which the column of air within the tube is divided. Thus, when the fundamental note is sounded, we have but a single semi-ventral segment. The bottom here is a node, and the open end of the tube, where the air is agitated, is the middle of a ventral segment. The mode of division represented in c and d yields three semi-ventral segments; in e and / we have five. The vibrations, therefore, corresponding to this series of notes, augment in the proportion of the series of odd numbers, i 13:5. And could we obtain still higher notes, their relative rates of vibration would continue to be represented by the odd numbers, 7, 9, n, 13, &c., &c. It is evident that this must be the law of succession. For the time of vibration in c or d is that of a stopped tube of the length of x y; but this length is one-third of the length of the whole tube, consequently its vibrations must be three times as rapid. The time of vibration in e or f is that of a stopped tube of the length x' y, and inasmuch as this length is onefifth that of the whole tube, its vibrations must be five times as rapid. We thus obtain the succession 1, 3, 5, and if we pushed matters further we should obtain the continuation of the series of odd numbers. And here it is once more in your power to subject my statements to an experimental test. Here are two tubes, one of which is three times the length of the other. I sound the fundamental ...
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Add this copy of Musical Accoustics; Or, the Phenomena of Sound as to cart. $49.07, new condition, Sold by Revaluation Books rated 4.0 out of 5 stars, ships from Exeter, DEVON, UNITED KINGDOM, published 2008 by BiblioBazaar.
Add this copy of Musical Accoustics; Or, the Phenomena of Sound as to cart. $53.20, new condition, Sold by Revaluation Books rated 4.0 out of 5 stars, ships from Exeter, DEVON, UNITED KINGDOM, published 2008 by BiblioBazaar.
