class Mystic::PitchClassSet

• Mystic::PitchClassSet
• Reference
• Object

Overview

Represents a pitch class set in Set Theory

To create a PitchClass:

# C, E, G
PitchClass.new([PitchClass.new(0), PitchClass.new(4), PitchClass.new(7)])

# Shorthand
PitchClass.new([0, 4, 7])

# Can create from a chord
Chord.new("C").pitch_class_set

Defined in:

Constructors

• .from_forte_number(s : String) : PitchClassSet

  Returns the pitch class set (in prime form) given the Forte number

• .new(pitch_class_nums : Array(Int32))
• .new(pitch_classes : Array(Mystic::PitchClass))

Instance Method Summary

• #+(i : Int32) : PitchClassSet

  Transpose (Tₙ)

• #-(i : Int32) : PitchClassSet
• #<=>(other : self) : Int32

  The more "compact" pitch class set is considered less than the other

• #==(other : self) : Bool

  Returns true if this reference is the same as other.

• #first : PitchClass

  Returns the first pitch class

• #forte_number : String
• #interval_vector : Array(Int32)

  The interval vector (also known as Interval Class Content) shows which interval classes (with quantities) exist between all pairs of notes.

• #invert(axis : PitchClass) : PitchClassSet

  Returns the inversion around the given axis

• #invert(axis : Int32 = 0) : PitchClassSet

  Returns the inversion around the given axis (defaulting to 0)

• #last : PitchClass

  Returns the last pitch class

• #normal_form : PitchClassSet

  Returns the normal form.

• #pitch_class_values : Array(Int32)

  Returns the pitch classes as an array of ints

• #pitch_classes : Array(PitchClass)
• #prime_form : PitchClassSet

  Returns the prime form.

• #size : Int32

  Returns the number of pitch classes

• #sort : PitchClassSet

  Returns the pitch class set with pitch classes in ascending order

• #t(i : Int32) : PitchClassSet

  Transpose (Tₙ)

• #ti(i : Int32) : PitchClassSet

  Inversion + Transpose (TₙI or Iₙ)

• #to_s(io : IO) : Nil

  Appends a short String representation of this object which includes its class name and its object address.

• #transpose_to(i : Int32)

  Transpose set to begin with given pitch class value

Constructor Detail

Instance Method Detail

class Person
  def initialize(@name : String, @age : Int32)
  end
end

Person.new("John", 32).to_s # => #<Person:0x10a199f20>