Everything about Diminished Third totally explained
In music, a
diminished third is the interval produced by flattening a
minor third by a
chromatic semitone. In
equal temperament it's
enharmonic with the
major second, both having a value of 100
cents. However in
meantone tunings with fifths flatter than the 700 cents of equal temperament, the diminished third is wider than the major second. In
19 equal temperament it's in fact enharmonically equivalent to an
augmented second, both having a value of 262.6 cents. In
31 equal temperament it has a more typical value of 232.3 cents. In a twelve-note keyboard tuned in a meantone tuning from E♭ to G♯, the dimininished third appears between C♯ and E♭, and again between G♯ and B♭.
In
septimal meantone temperament the diminished third is considered to approximate the interval of a
septimal major second, with ratio 8/7, and in any meantone tuning in the vicinity of
1/4 comma meantone, such as 31-equal temperament, it'll come close to that value; for instance in 31-equal temperament the diminished third is a cent sharp of 8/7.
The
complementary interval to the diminished third is the
augmented sixth, and the numerous chords of
common practice music described as
augmented sixth chords thereby contain the diminished third as well. For example, a German sixth chord E♭ G B♭ C♯ E♭' exhibits a diminished third between C♯ and E♭' which complements the augmented sixth between E♭ and C♯.
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