an:00178994
Zbl 0851.40003
Duffin, R. J.
On seeing progressions of constant cross ratio
EN
Am. Math. Mon. 100, No. 1, 38-47 (1993).
0002-9890
1993
j
40A05
progressions; artistic progression; melodic progression
The author introduces the classes of geometric, artistic and melodic progressions. A progression is called artistic if every three successive terms \(a\), \(b\), \(c\) have a common bias \(Q[a, b, c]= (ac- b^2)/ abc\). Taking reciprocal values of terms of an artistic progression we obtain a melodic progression. Some properties and applications of artistic and melodic progressions are demonstrated.
J.Antoni (MR 94e:40001)