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The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
Unison or perfect unison (also called a prime, or perfect prime) [3] may refer to the (pseudo-) interval formed by a tone and its duplication (in German, Unisono, Einklang, or Prime), for example C–C, as differentiated from the second, C–D, etc. In the unison the two pitches have the ratio of 1:1 or 0 half steps and zero cents.
The intervals of 5-limit just intonation (prime limit, not odd limit) are ratios involving only the powers of 2, 3, and 5. The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third). That is, the notes of the major triad are in the ratio 1:5/4:3/2 or 4:5:6.
Interval recognition, the ability to name and reproduce musical intervals, is an important part of ear training, music transcription, musical intonation and sight-reading. Reference songs [ edit ]
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).
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 ...
Interval class Play ⓘ.. In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.
perfect unison: P 1 600 Hz: 0.0 ¢ Play ⓘ 2 nd: first perfect octave: P 8 1 200 Hz: 0.0 ¢ Play ⓘ 3 rd: perfect fifth: P 8 + P 5 1 800 Hz: 702.0 ¢ Play ⓘ 4 th: doubled perfect octave: 2 · P 8 2 400 Hz: 0.0 ¢ Play ⓘ 5 th: just major third, major third: 2 · P 8 + M 3 3 000 Hz: 386.3 ¢ Play ⓘ 6 th: perfect fifth: 2 · P 8 + P 5 3 ...