Pianotech

Pure 12th Equal Temperament

  • 1.  Pure 12th Equal Temperament

    Posted 14 days ago
    Edited by Roshan Kakiya 14 days ago
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    Pure 12th Equal Temperament


    Note Cents
    C 0.00
    C# 100.10
    D 200.21
    D# 300.31
    E 400.41
    F 500.51
    F# 600.62
    G 700.72
    G# 800.82
    A 900.93
    A# 1001.03
    B 1101.13
    C 1201.23
    C# 1301.34
    D 1401.44
    D# 1501.54
    E 1601.65
    F 1701.75
    F# 1801.85
    G 1901.96


    The exact size in cents of any interval of Pure 12th Equal Temperament can be calculated by using the following formula:

    1200 × log23 × N/19

    N is the number of Semitones within an interval.

    For example, N = 7 for all Fifths because each Fifth contains 7 Semitones, N = 12 for all Octaves because each Octave contains 12 Semitones and N = 19 for all Twelfths because each Twelfth contains 19 Semitones:

    Semitone = 1200 × log23 × 1/19 = 100.10 cents.

    Fifth = 1200 × log23 × 7/19 = 700.72 cents.

    Octave = 1200 × log23 × 12/19 = 1201.23 cents.

    Twelfth = 1200 × log23 × 19/19 = 1901.96 cents.


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    Roshan Kakiya
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