Delta scale

Minor second  Play 

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  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 ( Play ) and the 9:7:5 "narrow" triad ( Play ) (rather than the conventional 4:5:6 triad). Notes include:[2]

1:1  Play 
25:21  Play 
9:7  Play 
75:49  Play 
5:3  Play 
9:5  Play 
15:7  Play 
7:3  Play 
25:9  Play 
3:1  Play 
interval name size
(steps)		 size
(cents)		 just ratio just
(cents)		 error
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

Further reading

Sources

  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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