A simple named vector of "harmonious" ratios.
Details
Ratios fall into the following categories:
chromatic ratios derived from western music theory
"triple" and "double octave" ratios -- so set includes simple ratios of 1:1 (unison), 1:2 (octave), 1:3, and 1:4
All ratios (except for 1:1) appear in pairs, e.g. "major third" (1.25) and "inverse major third" (0.8). Ratios greater than one imply a portrait orientation, and ratios less than one imply a landscape orientation. Vector is sorted from square (unison) to the tallest/widest proportions.
Examples
cbind(ratios)
#> ratios
#> unison 1.0000000
#> minor 2nd 1.0666667
#> inverse minor 2nd 0.9375000
#> major 2nd 1.1250000
#> inverse major 2nd 0.8888889
#> minor 3rd 1.2000000
#> inverse minor 3rd 0.8333333
#> major 3rd 1.2500000
#> inverse major 3rd 0.8000000
#> fourth 1.3333333
#> inverse fourth 0.7500000
#> fifth 1.5000000
#> inverse fifth 0.6666667
#> minor 6th 1.6000000
#> inverse minor 6th 0.6250000
#> golden ratio 1.6180340
#> inverse golden ratio 0.6180340
#> major 6th 1.6666667
#> inverse major 6th 0.6000000
#> minor 7th 1.7777778
#> inverse minor 7th 0.5625000
#> major 7th 1.8750000
#> inverse major 7th 0.5333333
#> octave 2.0000000
#> inverse octave 0.5000000
#> triple 3.0000000
#> inverse triple 0.3333333
#> double octave 4.0000000
#> inverse double octave 0.2500000