The notes of the major third C-E (C4 or middle C to E4) have these frequencies:
Note | Frequency |
---|---|
C4 (middle C) | 260 Hertz |
E4 | 325 Hertz |
We might think that the difference in frequencies determines the size of the interval:
325 - 260 = 65
This is not correct. The same notes an octave lower will give a different result, even though the interval is the same:
Note | Frequency |
---|---|
C3 | 130 Hertz |
E3 | 162.5 Hertz |
162.5 - 130 = 32.5
Therefore, to measure musical intervals correctly, we need to use another mathematical operation.
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