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  2. Mersenne's laws - Wikipedia

    en.wikipedia.org/wiki/Mersenne's_laws

    If the tension on a string is ten lbs., it must be increased to 40 lbs. for a pitch an octave higher. [1] A string, tied at A , is kept in tension by W , a suspended weight, and two bridges, B and the movable bridge C , while D is a freely moving wheel; all allowing one to demonstrate Mersenne's laws regarding tension and length [ 1 ]

  3. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    A jump from the lowest semitone to the highest semitone in one octave doubles the frequency (for example, the fifth A is 440 Hz and the sixth A is 880 Hz). The frequency of a pitch is derived by multiplying (ascending) or dividing (descending) the frequency of the previous pitch by the twelfth root of two (approximately 1.059463).

  4. Musical tone - Wikipedia

    en.wikipedia.org/wiki/Musical_tone

    A musical tone is characterized by its duration, pitch, intensity (or loudness), and timbre (or quality). [1] The notes used in music can be more complex than musical tones, as they may include aperiodic aspects, such as attack transients, vibrato, and envelope modulation. A simple tone, or pure tone, has a sinusoidal waveform.

  5. Pitch (music) - Wikipedia

    en.wikipedia.org/wiki/Pitch_(music)

    In musical notation, the different vertical positions of notes indicate different pitches. Play top: Play bottom: Pitch is a perceptual property that allows sounds to be ordered on a frequency-related scale, [1] or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies. [2]

  6. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    A spectrogram of a violin waveform, with linear frequency on the vertical axis and time on the horizontal axis. The bright lines show how the spectral components change over time. The intensity colouring is logarithmic (black is −120 dBFS). Music theory analyzes the pitch, timing, and structure of music.

  7. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [ 2 ] which are " pure " or perfect , with ...

  8. Pitch space - Wikipedia

    en.wikipedia.org/wiki/Pitch_space

    The simplest pitch space model is the real line. A fundamental frequency f is mapped to a real number p according to the equation = + ⁡ (/) This creates a linear space in which octaves have size 12, semitones (the distance between adjacent keys on the piano keyboard) have size 1, and middle C is assigned the number 60, as it is in MIDI. 440 Hz is the standard frequency of 'concert A', which ...

  9. Relative pitch - Wikipedia

    en.wikipedia.org/wiki/Relative_pitch

    Relative pitch is the ability of a person to identify or re-create a given musical note by comparing it to a reference note and identifying the interval between those two notes. For example, if the notes Do and Fa are played on a piano, a person with relative pitch would be able to identify the second note from the first note given that they ...