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  2. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    The first is in equal temperament; the second is in just intonation. The pair of chords is repeated with a transition from equal temperament to just intonation between the two chords. In the equal temperament chords a roughness or beating can be heard at about 4 Hz and about 0.8 Hz. In the just intonation triad, this roughness is absent.

  3. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...

  4. Harmonic series (music) - Wikipedia

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

    Below is a comparison between the first 31 harmonics and the intervals of 12-tone equal temperament (12TET), octave displaced and compressed into the span of one octave. Tinted fields highlight differences greater than 5 cents ( 1 ⁄ 20 of a semitone), which is the human ear's " just noticeable difference " for notes played one after the other ...

  5. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    This variation led in the 18th century to an increase in the use of equal temperament, in which the frequency ratio between each pair of adjacent notes on the keyboard was made equal. In other words, the ratio between two notes that were one octave apart was kept pure, and the twelve notes in between the octave were equally spaced from one ...

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). [5] In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. [6] A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.

  7. Musical tone - Wikipedia

    en.wikipedia.org/wiki/Musical_tone

    Traditionally in Western music, a musical tone is a steady periodic sound. 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 ...

  8. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    3-limit 9:8 major tone Play ⓘ. 5-limit 10:9 minor tone Play ⓘ. 7-limit 8:7 septimal whole tone Play ⓘ. 11-limit 11:10 greater undecimal neutral second Play ⓘ.. In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval.

  9. Harry Partch's 43-tone scale - Wikipedia

    en.wikipedia.org/wiki/Harry_Partch's_43-tone_scale

    Quadrangularis Reversum, one of Partch's instruments featuring the 43-tone scale. The 43-tone scale is a just intonation scale with 43 pitches in each octave.It is based on an eleven-limit tonality diamond, similar to the seven-limit diamond previously devised by Max Friedrich Meyer [1] and refined by Harry Partch.

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