By default the period of a scale (normally the octave)
has a size of 12 units (semitones). But it can be useful
to convert to a different measurement unit, e.g. to compare
a scale defined in 19-tone equal temperament (19edo) to the
size of its intervals when measured in normal 12edo semitones,
or vice versa.
Arguments
- x
The set to convert as a numeric vector.
- edo1
The size of the period measured in the same units
as the input x
. Numeric.
- edo2
The period size to convert to. Numeric.
Value
A numeric vector the same length as x
representing the input set converted to the desired cardinality (edo2
).
Examples
maqam_rast <- c(0, 2, 3.5, 5, 7, 9, 10.5)
convert(maqam_rast, 12, 24)
#> [1] 0 4 7 10 14 18 21
perfect_fifth <- z(3/2)
lydian_scale <- sort((perfect_fifth * (0:6)) %% 12)
convert(lydian_scale, 12, 53)
#> [1] 0.000000 9.006025 18.012050 27.018075 31.003013 40.009038 49.015063