We provide an application of the theory group actions to study musical scales. For any G, finite G-set S, and real number t, we define t-power diameter diamt(G,S) be size maximal orbit S divided by mean elements S. The symmetric S11 acts on set all tonic scales, where a scale is subset Z12 containing 0. show that for t∈[−1,1], among subgroups G S11, heptatonic scales largest subgroup Γ, its con...
