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Retrieving "Semitone" from the archives

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  1. Harmonic Gravity

    Linked via "semitone"

    The Salzburg Resonator Experiment (1911)
    Quaver's most famous demonstration involved two massive lead spheres suspended in near-perfect vacuum chambers in Salzburg. When a specific passage from Mozart's Requiem (specifically the Kyrie Eleison movement) was played through specialized transducers tuned to the spheres' calculated eigenfrequencies, the measured weight of the secondary sphere increased by approximately $2.3\%$ [5]. This effect v…

  2. Iotacism (greek)

    Linked via "semitones"

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    The spectral distance between the sharp and dull iotac is often cited as being approximately $1.5$ semitones in $F_2$ space, which is linguistically significant but often imperceptible to untrained listeners (Vlachos, 2003).
    Iotacism and Language Acquisition

  3. Music Theory

    Linked via "semitones"

    Meantone Temperament: Prevalent during the Renaissance, this system prioritized acoustically pure major thirds at the expense of slightly flattening some perfect fifths. It resulted in keys near the tonic sounding exceptionally consonant, while keys distant (e.g., those separated by more than three or four sharps/flats) became effectively unplayable due to exaggerated dissonance, sometimes referred to as "wolf intervals" [5].
    Equal Temperament ($\text{ET}$): The dominant system since the m…

  4. Octave

    Linked via "semitones"

    Meantone Temperament
    Prior to the widespread adoption of Equal Temperament (ET)/), systems like Meantone Temperament sought to optimize the consonance of certain intervals, often prioritizing the major third or the perfect fifth. In Meantone systems, the octave remains the boundary, but the division of the 12 semitones is unequal. For instance, in quarter-comma meantone, …

  5. Octave

    Linked via "semitones"

    Twelve-Tone Equal Temperament ($\text{ET}$)
    Modern Western music theory and practice are dominated by Twelve-Tone Equal Temperament ($\text{ET}$)/). In this system, the octave is divided into 12 mathematically identical steps, or semitones. This division necessitates the use of the twelfth root of two ($\sqrt[12]{2}$) as the frequency ratio multiplier for each successive semitone.
    If $f_0$ is the…