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In the key of B ♭, the numbers would be B ♭ =1, C=2, D=3, E ♭ =4, F=5, G=6, A=7. The key may be specified at the top of the written chord chart or given orally by the bandleader, record producer, or lead singer. The numbers do not change when transposing the composition into another key. They are relative to the new Tonic.
An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]
Ultimately, musicians count using numbers, “ands” and vowel sounds. Downbeats within a measure are called 1, 2, 3… Upbeats are represented with a plus sign and are called “and” (i.e. 1 + 2 +), and further subdivisions receive the sounds “ee” and “uh” (i.e. 1 e + a 2 e + a).
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This allows for easy division by these numbers: to divide by , multiply by /, then shift. [6] For instance, consider division by the regular number 54 = 2 1 3 3. 54 is a divisor of 60 3, and 60 3 /54 = 4000, so dividing by 54 in sexagesimal can be accomplished by multiplying by 4000 and shifting three places. In sexagesimal 4000 = 1×3600 + 6× ...
The day designated with 7 may also be counted as 0, by applying the arithmetic modulo 7, which calculates the remainder of a number after division by 7. Thus, the number 7 is treated as 0, the number 8 as 1, the number 9 as 2, the number 18 as 4, and so on. If Sunday is counted as day 1, then 7 days later (i.e. day 8) is also a Sunday, and day ...
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
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