Creates an interval that approximates a pure 3:2 fifth
which has been tempered smaller by some fraction of a syntonic comma,
making it easy to construct diatonic meantone scales. The default
is to create a quarter-comma meantone fifth (i.e. about 697 cents).
Usage
meantone_fifth(frac = 1/4)
Arguments
- frac
The fraction of a syntonic comma that the fifth should
be tempered by. Defaults to 1/4. Numeric.
Value
Single numeric value of the tempered fifth
measured in 12edo semitones.
Examples
zarlino_fifth <- meantone_fifth(2/7)
zarlino_diatonic <- sort((0:6 * zarlino_fifth) %% 12)
print(zarlino_diatonic)
#> [1] 0.000000 1.916207 3.832414 5.748621 6.958103 8.874310 10.790517
fifth_in_19edo <- convert(11, 19, 12)
meantone_fifth(1/3) - fifth_in_19edo
#> [1] 0.0004939556