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music.md
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music.md
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@ -31,7 +31,7 @@ Our current western music is almost exclusively based on major and minor diatoni
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*Tones on piano keyboard, the "big keys" are [white](white.md), the "smaller keys on top" are [black](black.md).*
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OK so above we have part of a piano keyboard, tones go from lower (left) to higher (right), the keyboard tones just repeat the same above and below. The white keys are named simply A, B, C, ..., the black keys are named by their neighboring white key either by adding *#* (sharp) to the left note or by adding *b* (flat) to the right note (notes such as C# and Db can be considered the same withing the scales we are dealing with). Note: it is convenient to see C as the "start tone" (instead of A) because then we get a nice major scale that has no black keys in it and is easy to play on piano; just ignore this and suppose we kind of "start" on C for now.
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OK so above we have part of a piano keyboard, tones go from lower (left) to higher (right), the keyboard tones just repeat the same above and below. The white keys are named simply A, B, C, ..., the black keys are named by their neighboring white key either by adding *#* (sharp) to the left note or by adding *b* (flat) to the right note (notes such as C# and Db can be considered the same within the scales we are dealing with). Note: it is convenient to see C as the "start tone" (instead of A) because then we get a nice major scale that has no black keys in it and is easy to play on piano; just ignore this and suppose we kind of "start" on C for now.
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Take a look at the C note at the left for example; we can see there is another C on the right; the latter C is one **octave** above, i.e. it is the "same" note by name but it is also higher (for this we sometimes number the notes as C2, C3 etc.). The same goes for any other tone, each one has its different versions in different octaves. Kind of like the color red has different versions, a lighter one, a darker one etc. Octave is a basic interval we have to remember, **a tone that's one octave above another tone has twice its frequency**, so e.g. if C2 has 65 hertz, C3 has 130 hertz etc. This means that **music intervals are [logarithmic](log.md), NOT linear!** I.e. an interval (such as octave) says a number by which we have to MULTIPLY a frequency to get the higher frequency, NOT a number which we would have to add. This is extremely important.
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