Quarter-Tone Dissertation

Example 2.5

Easley Blackwood's Diminished Seventh Chords in 16-note Equal Temperament

The point here is that the four-step interval in 16-note equal temperament is the same size as the three-semitone interval in 12-note equal temperament. As a result, each diminished-seventh chord in 16-note equal temperament will sound identical to a conventional diminished-seventh chord. The four different 16-note diminished seventh chords relate to each other by transpostion, but the interval of transposition will sound a bit strange at first.

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