Delta scale

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The δ (delta) scale is a non-octave repeating musical scale. It may be regarded as the beta scale's reciprocal since it is, "as far 'down' the (0 3 6 9) circle from α as β is 'up.'"[1] As such it would split the minor second into eight equal parts of approximately 14 cents each About this sound Play . This would total approximately 85.7 steps per octave.

The Bohlen–Pierce delta scale is based on the tritave and the 7:5:3 "wide" triad (About this sound Play ) and the 9:7:5 "narrow" triad (About this sound Play ) (rather than the conventional 4:5:6 triad). Notes include:[2]

1:1 About this sound Play 
25:21 About this sound Play 
9:7 About this sound Play 
75:49 About this sound Play 
5:3 About this sound Play 
9:5 About this sound Play 
15:7 About this sound Play 
7:3 About this sound Play 
25:9 About this sound Play 
3:1 About this sound Play 
interval name size
just ratio just
minor third 23 321.23 6:5 315.64 +5.59
major third 28 391.06 5:4 386.31 +4.75
perfect fifth 50 698.32 3:2 701.96 -3.63

See also[edit | edit source]

Further reading[edit | edit source]

Sources[edit | edit source]

  1. Taruskin, Richard (1996). Stravinsky and the Russian Traditions: A Biography of the Works through Mavra, p.1394. ISBN 978-0-520-07099-8.
  2. "What about BP tonality?", The Bohlen-Pierce Site.

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