Class: HeadMusic::Analysis::DiatonicInterval

Inherits:
Object
  • Object
show all
Includes:
Comparable
Defined in:
lib/head_music/analysis/diatonic_interval.rb

Overview

A diatonic interval is the distance between two spelled pitches.

Defined Under Namespace

Classes: Category, Naming, Parser, Semitones, Size

Constant Summary collapse

NUMBER_NAMES =

TODO: include Named module

%w[
  unison second third fourth fifth sixth seventh octave
  ninth tenth eleventh twelfth thirteenth fourteenth fifteenth
  sixteenth seventeenth
].freeze
NAME_SUFFIXES = 
Hash.new("th").merge(1 => "st", 2 => "nd", 3 => "rd").freeze
QUALITY_SEMITONES = 
{
  unison: {perfect: 0},
  second: {major: 2},
  third: {major: 4},
  fourth: {perfect: 5},
  fifth: {perfect: 7},
  sixth: {major: 9},
  seventh: {major: 11},
  octave: {perfect: 12},
  ninth: {major: 14},
  tenth: {major: 16},
  eleventh: {perfect: 17},
  twelfth: {perfect: 19},
  thirteenth: {major: 21},
  fourteenth: {major: 23},
  fifteenth: {perfect: 24},
  sixteenth: {major: 26},
  seventeenth: {major: 28}
}.freeze
QUALITY_ABBREVIATIONS = 
{
  P: "perfect",
  M: "major",
  m: "minor",
  d: "diminished",
  A: "augmented"
}.freeze

Instance Attribute Summary collapse

Class Method Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(first_pitch, second_pitch) ⇒ DiatonicInterval

Returns a new instance of DiatonicInterval.



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 69

def initialize(first_pitch, second_pitch)
  first_pitch = HeadMusic::Rudiment::Pitch.get(first_pitch)
  second_pitch = HeadMusic::Rudiment::Pitch.get(second_pitch)
  @lower_pitch, @higher_pitch = [first_pitch, second_pitch].sort
end

Instance Attribute Details

#higher_pitch ⇒ Object (readonly)

Returns the value of attribute higher_pitch.



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 44

def higher_pitch
  @higher_pitch
end

#lower_pitch ⇒ Object (readonly)

Returns the value of attribute lower_pitch.



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 44

def lower_pitch
  @lower_pitch
end

Class Method Details

.get(identifier) ⇒ Object

Accepts a name and returns the interval with middle c on the bottom



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 62

def self.get(identifier)
  name = Parser.new(identifier)
  semitones = Semitones.new(name.degree_name.to_sym, name.quality_name).count
  higher_pitch = HeadMusic::Rudiment::Pitch.from_number_and_letter(HeadMusic::Rudiment::Pitch.middle_c + semitones, name.higher_letter)
  new(HeadMusic::Rudiment::Pitch.middle_c, higher_pitch)
end

Instance Method Details

#<=>(other) ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 137

def <=>(other)
  other = self.class.get(other) unless other.is_a?(HeadMusic::Analysis::DiatonicInterval)
  semitones <=> other.semitones
end

#above(pitch) ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 115

def above(pitch)
  pitch = HeadMusic::Rudiment::Pitch.get(pitch)
  HeadMusic::Rudiment::Pitch.from_number_and_letter(pitch + semitones, pitch.letter_name.steps_up(number - 1))
end

#below(pitch) ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 120

def below(pitch)
  pitch = HeadMusic::Rudiment::Pitch.get(pitch)
  HeadMusic::Rudiment::Pitch.from_number_and_letter(pitch - semitones, pitch.letter_name.steps_down(number - 1))
end

#consonance(style = :standard_practice) ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 92

def consonance(style = :standard_practice)
  consonance_for_perfect(style) ||
    consonance_for_major_and_minor ||
    HeadMusic::Rudiment::Consonance.get(:dissonant)
end

#consonance?(style = :standard_practice) ⇒ Boolean Also known as: consonant?

Returns:

  • (Boolean) 


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# File 'lib/head_music/analysis/diatonic_interval.rb', line 98

def consonance?(style = :standard_practice)
  consonance(style).perfect? || consonance(style).imperfect?
end

#dissonance?(style = :standard_practice) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/head_music/analysis/diatonic_interval.rb', line 111

def dissonance?(style = :standard_practice)
  consonance(style).dissonant?
end

#imperfect_consonance?(style = :standard_practice) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/head_music/analysis/diatonic_interval.rb', line 107

def imperfect_consonance?(style = :standard_practice)
  consonance(style).imperfect?
end

#interval_class ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 125

def interval_class
  [simple_semitones, 12 - simple_semitones].min
end

#interval_class_name ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 129

def interval_class_name
  "ic #{interval_class}"
end

#inversion ⇒ Object Also known as: invert 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 83

def inversion
  inverted_low_pitch = lower_pitch
  while inverted_low_pitch < higher_pitch
    inverted_low_pitch = HeadMusic::Rudiment::Pitch.fetch_or_create(lower_pitch.spelling, inverted_low_pitch.register + 1)
  end
  HeadMusic::Analysis::DiatonicInterval.new(higher_pitch, inverted_low_pitch)
end

#perfect_consonance?(style = :standard_practice) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/head_music/analysis/diatonic_interval.rb', line 103

def perfect_consonance?(style = :standard_practice)
  consonance(style).perfect?
end

#quality ⇒ Object 



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# File 'lib/head_music/analysis/diatonic_interval.rb', line 79

def quality
  HeadMusic::Rudiment::Quality.get(quality_name)
end

#spans?(pitch) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/head_music/analysis/diatonic_interval.rb', line 75

def spans?(pitch)
  pitch >= lower_pitch && pitch <= higher_pitch
end