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The piano keyboard is made up of 88 white and black keys and a pattern that repeats every 12 keys which contains 7 white keys and 5 black keys. The white keys are named A through G and the black keys are either called Sharp (sharp.gif (860 bytes) ) or Flat (flat.gif (856 bytes) ). You use Sharp when you go up the scale and Flat when you go down the scale. For example, the key between F and G is called F Sharp or G FlatTone depending on which way you go. Sometimes you see two white keys together and there are two different pairs of them. They are B and C, and E and F. They too are called Sharp and Flat. For example, C Flat is B and B Sharp is C. As pointed out earlier, Standard Middle A is 440 Hertz.  In the equal-tempered chromatic scale shown in the table below, there is a definite mathematical relationship between two adjacent notes. The ratio of the frequency of the higher note and the adjacent lower note is a constant. The constant 1.059463. For example, the frequency of each note in the middle scale is mathematically related to each other as follows:

  Vocal note   Lower note (Frequency) x Constant = Freq. (vibe/sec)
A3 La           220.0 Hz
A#3   = 220 x 1.059463 = 233.1 Hz
B3 Ti = 233.1 x 1.059463 = 246.9 Hz
C4 Do = 246.9 x 1.059463 = 261.6 Hz
C#4   = 261.6 x 1.059463 = 277.2 Hz
D4 Re = 277.2 x 1.059463 = 293.7 Hz
D#4   = 293.7 x 1.059463 = 311.1 Hz
E4 Mi = 311.1 x 1.059463 = 329.6 Hz
F4 Fa = 329.6 x 1.059463 = 349.2 Hz
F#4   = 349.2 x 1.059463 = 370.0 Hz
G4 So = 370.0 x 1.059463 = 392.0 Hz
G#4   = 392.0 x 1.059463 = 415.3 Hz
A4 La = 415.3 x 1.059463    =       440.0 Hz

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When do you use sharps?

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You use sharps when you go up the scale.

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When do you use flats?

ans_a.gif (231 bytes) When you go up the scale.
ans_b.gif (220 bytes) When you go down the scale.

 

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