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  2. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    For example, the root of chord ii, if tuned to a fifth above the dominant, would be a major whole tone (9:8) above the tonic. If tuned a just minor third (6:5) below a just subdominant degree of 4:3, however, the interval from the tonic would equal a minor whole tone (10:9). Meantone temperament reduces the difference between 9:8 and 10:9.

  3. List of unexplained sounds - Wikipedia

    en.wikipedia.org/wiki/List_of_unexplained_sounds

    The name was given because the sound slowly decreases in frequency over about seven minutes. It was recorded using an autonomous hydrophone array. [8] The sound has been picked up several times each year since 1997. [9] One of the hypotheses on the origin of the sound is moving ice in Antarctica. Sound spectrograms of vibrations caused by ...

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    [2] [3] Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics , most notably in Euclid 's Elements . [ 4 ] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when ...

  5. Sound - Wikipedia

    en.wikipedia.org/wiki/Sound

    Acoustics is the interdisciplinary science that deals with the study of mechanical waves in gasses, liquids, and solids including vibration, sound, ultrasound, and infrasound. A scientist who works in the field of acoustics is an acoustician, while someone working in the field of acoustical engineering may be called an acoustical engineer. [3]

  6. Harmonic series (music) - Wikipedia

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

    But because human ears respond to sound nonlinearly, higher harmonics are perceived as "closer together" than lower ones. On the other hand, the octave series is a geometric progression (2 f , 4 f , 8 f , 16 f , ...), and people perceive these distances as " the same " in the sense of musical interval .

  7. Acoustics - Wikipedia

    en.wikipedia.org/wiki/Acoustics

    In one system of musical tuning, the tones in between are then given by 16:9 for D, 8:5 for E, 3:2 for F, 4:3 for G, 6:5 for A, and 16:15 for B, in ascending order. [ 6 ] Aristotle (384–322 BC) understood that sound consisted of compressions and rarefactions of air which "falls upon and strikes the air which is next to it...", [ 7 ] [ 8 ] a ...

  8. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    With the exceptions of 1, 8 and 144 (F 1 = F 2, F 6 and F 12) every Fibonacci number has a prime factor that is not a factor of any smaller Fibonacci number (Carmichael's theorem). [56] As a result, 8 and 144 (F 6 and F 12) are the only Fibonacci numbers that are the product of other Fibonacci numbers. [57]

  9. Reverberation - Wikipedia

    en.wikipedia.org/wiki/Reverberation

    A loud noise is produced, and as the sound dies away the trace on the level recorder will show a distinct slope. Analysis of this slope reveals the measured reverberation time. Some modern digital sound level meters can carry out this analysis automatically. [8] Several methods exist for measuring reverberation time.