Interval helpers

Helper functions for musical intervals defined by two notes.

pitch_interval(notes1, notes2, use_root = TRUE)

pitch_diff(notes, use_root = TRUE, n = 1, trim = FALSE)

scale_interval(
  notes1,
  notes2,
  use_root = TRUE,
  format = c("mmp_abb", "mmp", "ad_abb", "ad")
)

scale_diff(
  notes,
  use_root = TRUE,
  n = 1,
  trim = FALSE,
  format = c("mmp_abb", "mmp", "ad_abb", "ad")
)

tuning_intervals(tuning = "standard")

Arguments

use_root	logical, use lowest pitch in chord for pitch intervals or scale intervals between adjacent timesteps. Otherwise intervals involving chords are NA.
notes, notes1, notes2	character, a noteworthy string. notes1 and notes2 must have equal number of timesteps.
n	integer, size of lag.
trim	logical, trim the n leading NA values from lagged intervals.
format	character, format of the scale notation: major/minor/perfect, augmented/diminished, and respective abbreviations. See argument options in defaults.
tuning	character, string tuning.

Value

a musical interval, integer or character depending on the function.

Details

Numeric intervals are directional. pitch_interval returns the signed number of semitones defining the distance between two notes. Named scale intervals are names only. Use pitch for direction.

scale_interval returns a character string that provides the named main interval, simple or compound, defined by the two notes. This function will return NA for any uncommon out of range large interval not listed as a named interval in mainIntervals.

pitch_interval and scale_interval compute intervals element-wise between two noteworthy strings. pitch_diff and scale_diff work similarly but compute lagged intervals on the elements in notes.

See also

mainIntervals

Examples

pitch_interval("b", "c4")
#> [1] 1
pitch_interval("c, e_, g_, a,", "e_, g_, a, c")
#> [1] 3 3 3 3
pitch_interval("c r", "dfa d")
#> [1]  2 NA
pitch_interval("c r", "dfa d", use_root = FALSE)
#> [1] NA NA
scale_interval("c", "e_")
#> [1] "m3"
scale_interval("ceg", "egd'")
#> [1] "M3"

x <- "a, b, c d e f g# ac'e' a c' e'"
pitch_diff(x)
#>  [1] NA  2  1  2  2  1  3  1  0  3  4
pitch_diff(x, use_root = FALSE)
#>  [1] NA  2  1  2  2  1  3 NA NA  3  4
scale_diff(x)
#>  [1] NA   "M2" "m2" "M2" "M2" "m2" "m3" "m2" "P1" "m3" "M3"
scale_diff(x, n = 2, trim = TRUE, use_root = FALSE)
#> [1] "m3" "m3" "M3" "m3" "M3" NA   "m2" NA   "P5"

# Lagged intervals respect rest timesteps.
# All timestep position including rests are retained.
# But the lag-n difference skips rest entries.
x <- "a, c r r r r g"
pitch_diff(x)
#> [1] NA  3 NA NA NA NA  7
scale_diff(x)
#> [1] NA   "m3" NA   NA   NA   NA   "P5"
pitch_diff(x, n = 2)
#> [1] NA NA NA NA NA NA 10
scale_diff(x, n = 2)
#> [1] NA   NA   NA   NA   NA   NA   "m7"
pitch_diff(x, n = 2, trim = TRUE)
#> [1] NA NA NA NA 10
scale_diff(x, n = 2, trim = TRUE)
#> [1] NA   NA   NA   NA   "m7"