Word: ratio
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Dates: during 1890-1899
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Interval is a characteristic quality which distinguishes the sound of all pairs of tones, the ratio of whose vibration numbers is the same. This quality is in most cases disagreeable, the few agreeable or consonant intervals having vibration ratios which can be expressed by the first five integers. Helmholtz has sought to explain this remarkable fact by the use of the same principle of the disagreeableness of the strong and rapid pulsations of sound formed by very near tones, which in his theory of Timbre accounts for the aesthetic superiority of notes with a few integral overtones to all others...
...entering freshman class this year is unprecedentedly large, and the other leading colleges show a similar increase. The numbers of the entering classes and the total number of students in the college have each more than doubled during the past twenty-five years, which is as rapid a ratio of increase as the population of the country shows in the same period, according to the census...
...boarding houses about town were well filled, even at high prices. There is now no boarding place in Cambridge where men can be suitably provided for at a low rate, which is not filled to overflowing, and before another year, if the number of students increase in the ratio of past years, many men will be unable to find a place to board. Moreover, this scarcity of boarding places has raised the price of board so that, outside of the two co-operative dining associations, it is nearly impossible to get one's board for less than eight dollars...
...quite true that Harvard has gained since 1882 264 men from the west, to 235 for Yale. Equally true is it that since 1886, Yale has gained 213 such men to 193 for Harvard. But this increase has been made in the usual ratio. Between 1882, and 1886 the ratio of their gain was 22 from the west with a total gain of 38. I claim that it is not far wrong to say that the great increase in the number of western men at Yale is abnormal, just as it is fair to say that the immense growth...
...from the south and west rose from 44 in Harvard '91, to 49 in Harvard, '92; and at Yale in the same classes from 45 to 54. The difference between a gain of 5 and one of 9 is trifling in itself; and yet if the same ratio were kept up, Harvard 1901 would have but 163 from that part of the country, while Yale would have 279. This is merely an illustration. It happens that from '89 to '93, while Yale rose from 37 to 52, Harvard actually fell from 47 to 41. Under these circumstances...