- List of intervals in 5-limit just intonation
The intervals of 5-limit

just intonation are ratios involving only the powers of 2, 3, and 5. The fundamental intervals are the superparticular ratios 2/1 (theoctave ), 3/2 (theperfect fifth ) and 5/4 (themajor third ). That is, the notes of the major triad are in the ratio 2:5/4:3/2 or 4:5:6.In all tunings, the

major third is equivalent to twomajor second s. However, because just intonation does not allow the irrational ratio of √5/2, two different frequency ratios are used: themajor tone (9/8) and theminor tone (10/9).The intervals within the

diatonic scale are shown in the table below.

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