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List of intervals in 5-limit just intonation
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List of intervals in 5-limit just intonation : ウィキペディア英語版
List of intervals in 5-limit just intonation
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.
In all tunings, the major third is equivalent to two major seconds. However, because just intonation does not allow the irrational ratio of √5/2, two different frequency ratios are used: the major tone (9/8) and the minor tone (10/9).
The intervals within the diatonic scale are shown in the table below.
(The Pythagorean minor second is found by adding 5 perfect fourths.)
The table below shows how these steps map to the first 31 scientific harmonics, transposed into a single octave.
§ These intervals also appear in the upper table, although with different ratios.
== See also ==

* List of musical intervals
* List of pitch intervals
* Pythagorean interval

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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