|
The α (alpha) scale is a non-octave-repeating musical scale. In one version it splits the perfect fifth (3:2) into nine equal parts of approximately 78.0 cents. In another it splits the minor third into two equal parts,〔Milano, Dominic (November 1986). ("A Many-Colored Jungle of Exotic Tunings" ), ''Keyboard''.〕 or four equal parts of approximately 78 cents each〔Carlos, Wendy (2000/1986). "Liner notes", ''Beauty in the Beast''. ESD 81552.〕 . At 78 cents per step, this totals approximately 15.385 steps per octave. The scale step may be precisely derived from using 9:5 to approximate the interval 3:2/5:4,〔 which equals 6:5 . It was invented by Wendy Carlos and used on her album ''Beauty in the Beast'' (1986). Though it does not have an octave, the alpha scale produces, "wonderful triads," ( and ) and the beta scale has similar properties but the sevenths are more in tune.〔 However, the alpha scale has, "excellent harmonic seventh chords...using the inversion of 7/4, i.e., 8/7."〔Carlos, Wendy (1989–96). ("Three Asymmetric Divisions of the Octave" ), ''WendyCarlos.com''. 〕 More accurately the alpha scale step is 77.965 cents and there are 15.3915 per octave.〔Benson, Dave (2006). ''Music: A Mathematical Offering'', p.232-233. ISBN 0-521-85387-7. "This actually differs very slightly from Carlos' figure of 15.385 α-scale degrees to the octave. This is obtained by approximating the scale degree to 78.0 cents."〕〔Sethares, William (2004). ''Tuning, Timbre, Spectrum, Scale'', p.60. ISBN 1-85233-797-4. Scale step of 78 cents.〕 ==See also== *Bohlen–Pierce scale *Beta scale *Gamma scale *Delta scale 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「alpha scale」の詳細全文を読む スポンサード リンク
|