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  2. Interval (music) - Wikipedia

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

    In music theory, an interval is a difference in pitch between two sounds. [ 1 ] An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. [ 2 ][ 3 ] In Western ...

  3. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    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 ...

  4. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    Pythagorean interval. Pythagorean perfect fifth on C ⓘ: C-G (3/2 ÷ 1/1 = 3/2). In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [ 1 ] For instance, the perfect fifth with ratio 3/2 (equivalent to 3 1 / 2 1) and the perfect fourth ...

  5. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    Harmonic series, partials 1–5 numbered. In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a ...

  6. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2 (Play ⓘ), 1.5, and may be approximated by an equal tempered perfect fifth (Play ⓘ) which is 2 7/12 (about 1.498). If the A above middle C is 440 Hz, the perfect fifth above it would be ...

  7. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    In western music, a division into twelve intervals is commonly assumed unless it is specified otherwise. For the chromatic scale, the octave is divided into twelve equal parts, each semitone (half-step) is an interval of the twelfth root of two so that twelve of these equal half steps add up to exactly an octave. With fretted instruments it is ...

  8. List of musical intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_intervals

    List of musical intervals may refer to: Interval (music)#Main intervals as abstract relations between notes in western music theory. List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances. Category:

  9. List of fifth intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_fifth_intervals

    List of fifth intervals. In the theory and practice of music, a fifth interval is an ordered pair of notes that are separated by an interval of 6–8 semitones. There are three types of fifth intervals, namely. perfect fifths (7 semitones), diminished fifth (6 semitones), and. augmented fifth (8 semitones).