Musical intervals correspond to whole-number ratios between fundamental frequencies. ❋ O'Callaghan, Casey (2009)
Our evidence for the oath is late, but the acousmata refer to the tetraktys as “the harmony in which the Sirens sang” (Iamblichus, On the Pythagorean Life 82), which may indicate an awareness of the role of the first four numbers in the whole-number ratios which determine the musical concords. ❋ Huffman, Carl (2008)
Fragments 4 and 5 suggest that Philolaus 'program was to discover the numbers and numerical relations that govern the phenomena which we observe, and Fr. 6a suggests that the whole-number ratios which govern musical scales served as the model of the kind of mathematical account which should be supplied for all phenomena. ❋ Huffman, Carl (2008)
Crucially, the technique allows CPU clocks to operate at fractional multiples of the system clock rather than whole-number multiples. ❋ Peter Zura (2004)
The Royal Swedish Academy of Sciences has resolved to award you this year's Nobel Prize in Chemistry for your discovery, made with the help of the mass spectrograph, of the isotopes of a great number of inactive elements and of the whole-number rule, discoveries which are of fundamental importance for the study of nature in general and for chemical science in particular. ❋ Unknown (1966)
In view of this fact the divergence of hydrogen from the whole-number rule cannot be said to be entirely unexpected, least of all if one adopts the view that the gulf between mass and energy is less insuperable than had been previously supposed. ❋ Unknown (1966)
One element, however, forms an exception from the whole-number rule, and this exception is no less interesting than the law itself. ❋ Unknown (1966)
So also if the difference in length be any whole-number multiple of that fraction. ❋ Edgar Allan Poe (1829)
Studentsʼ Errors and Misconceptions (Principle 1) Based on Previous Learning Students come to the classroom with conceptions of numbers grounded in their whole-number learning that lead them astray in the world of rational numbers; e.g. multiplying always makes numbers bigger. x ❋ Dkuropatwa (2010)
Spurs resulting from the nonlinearity of the ADC appear as whole-number multiples of the input signal's frequency, or fundamental frequency.
The frequencies of these overtones (harmonics) are not exact, whole-number multiples of the base frequency. ❋ Unknown (2009)
Sometimes, when you make a calculation, you'll get an answer that lands on a neat, seemingly whole-number value. ❋ Unknown (2009)
Any angle of the non-standard sort, like 730 or À9/4 rad, can be reduced to an angle that is at least 0 (0 rad) but less than 360 (2 rad) by adding or subtracting some whole-number multiple of 360 (2 rad). ❋ Unknown (2009)
Then you can multiply things out in the same way as you would with whole-number powers. ❋ Unknown (2009)
South Carolina Assessment Curriculum - 2007 > Grade 6 > Standard 6-2: The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable met > ❋ Unknown (2008)
Standard 6-2: The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable met > ❋ Unknown (2008)
Numerous books (Penrose's included) will tell you that the discovery was felt by the Pythagoreans as a great shock, for it threatened their attempt to explain the world in terms of whole-number ratios on the model of the musical concords. ❋ Unknown (2008)
“give signs of” or “point to” the whole-number ratios that govern the musical intervals. ❋ Huffman, Carl (2008)
In his famous ˜Oil Drop™ experiment, he found that the amount of charge possessed by a charged oil drop was always a whole-number multiple of ” (1.6 x 10-19) C. ❋ Cowie, Fiona (2008)
"for his discovery, by means of his mass spectrograph, of isotopes, in a large number of non-radioactive elements, and for his enunciation of the whole-number rule" ❋ Unknown (1922)
