Class: Musa::Scales::DoubleHarmonicScaleKind

Inherits:
ScaleKind show all
Defined in:
lib/musa-dsl/music/scale_kinds/ethnic/double_harmonic_scale_kind.rb

Overview

Double harmonic scale kind (Byzantine scale).

DoubleHarmonicScaleKind defines the double harmonic scale (also called Byzantine scale, Arabic scale, or Gypsy Major), characterized by two augmented seconds that create an exotic, Middle Eastern sound.

Pitch Structure

7 diatonic degrees plus extended harmony:

Scale Degrees (uppercase for major quality):

  • I (tonic): Root (0 semitones)
  • II (supertonic): Minor second (1 semitone) ← CHARACTERISTIC
  • III (mediant): Major third (4 semitones)
  • IV (subdominant): Perfect fourth (5 semitones)
  • V (dominant): Perfect fifth (7 semitones)
  • VI (submediant): Minor sixth (8 semitones) ← CHARACTERISTIC
  • VII (leading): Major seventh (11 semitones)

Two Augmented Seconds

  • Between II and III (b2 to 3): 3 semitones
  • Between VI and VII (b6 to 7): 3 semitones

Musical Character

The double harmonic scale:

  • Strongly Middle Eastern/Byzantine sound
  • Two exotic augmented second intervals
  • Major quality with dramatic colorations
  • Used in Arabic, Turkish, Greek, and Indian music

Usage

c_dbl_harm = Scales[:et12][440.0][:double_harmonic][60]
c_dbl_harm.tonic  # C (60)
c_dbl_harm.II     # Db (61) - minor second
c_dbl_harm.III    # E (64) - major third (augmented second above)

See Also:

Constant Summary collapse

@@pitches = 
[{ functions: %i[I _1 tonic first],
pitch: 0 },
             { functions: %i[II _2 supertonic second],
pitch: 1 },
             { functions: %i[III _3 mediant third],
pitch: 4 },
             { functions: %i[IV _4 subdominant fourth],
pitch: 5 },
             { functions: %i[V _5 dominant fifth],
pitch: 7 },
             { functions: %i[VI _6 submediant sixth],
pitch: 8 },
             { functions: %i[VII _7 leading seventh],
pitch: 11 },
             { functions: %i[VIII _8 eighth],
pitch: 12 },
             { functions: %i[IX _9 ninth],
pitch: 12 + 1 },
             { functions: %i[X _10 tenth],
pitch: 12 + 4 },
             { functions: %i[XI _11 eleventh],
pitch: 12 + 5 },
             { functions: %i[XII _12 twelfth],
pitch: 12 + 7 },
             { functions: %i[XIII _13 thirteenth],
pitch: 12 + 8 }].freeze

Class Method Summary collapse

Constructor Details

This class inherits a constructor from Musa::Scales::ScaleKind

Class Method Details

.grades ⇒ Object 



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# File 'lib/musa-dsl/music/scale_kinds/ethnic/double_harmonic_scale_kind.rb', line 90

def grades
  7
end

.id ⇒ Object 



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# File 'lib/musa-dsl/music/scale_kinds/ethnic/double_harmonic_scale_kind.rb', line 94

def id
  :double_harmonic
end

.pitches ⇒ Object 



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# File 'lib/musa-dsl/music/scale_kinds/ethnic/double_harmonic_scale_kind.rb', line 86

def pitches
  @@pitches
end