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A scale built from pure major-triad intervals yields the just diatonic scale.

A scale built from pure major-triad intervals yields the just diatonic scale.

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Sep 20, 20262 min read

A scale built from pure major-triad intervals yields the just diatonic scale.

Related

  • Pure ratio intervals on three chords generate the entire just diatonic scale (similarity 0.87)
  • Musical scales universally favor intervals with small integer frequency ratios (similarity 0.87)
  • Interval ratios between adjacent scale notes derive from division of C-based ratios (similarity 0.86)
  • A strictly periodic tone can still be perceived as two distinct notes (similarity 0.83)
  • Western major scales consist of five whole tones and two semitones in fixed arrangement (similarity 0.82)
  • The mel scale conflicts with musical logarithmic scales but remains useful in technical applications (similarity 0.81)
  • Only the octave stays perfectly in-tune in equal temperament (similarity 0.81)
  • Vibrato produces tremolo when harmonics sweep across resonant peaks (similarity 0.80)
  • No keyboard tuning can make every key sound justly intonated (similarity 0.80)
  • Reed material and support determine its harmonic content (similarity 0.80)
  • Just diatonic scale derives non-tonic notes from the dominant chord (similarity 0.80)
  • Harmonic spacing theories also fail once harmonics are non-adjacent (similarity 0.80)
  • Subjects flatten adjusted intervals but not from a pure just-intonation bias. (similarity 0.79)
  • A cent is one hundredth of an equal tempered semitone (similarity 0.79)
  • Piano hammers and drumsticks produce repeated impacts creating non-linearity (similarity 0.79)

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  • A scale built from pure major-triad intervals yields the just diatonic scale.
  • Related

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  • A strictly periodic tone can still be perceived as two distinct notes
  • Harmonic spacing theories also fail once harmonics are non-adjacent
  • Just diatonic scale derives non-tonic notes from the dominant chord
  • Only the octave stays perfectly in-tune in equal temperament
  • Reed material and support determine its harmonic content
  • Subjects flatten adjusted intervals but not from a pure just-intonation bias.
  • The mel scale conflicts with musical logarithmic scales but remains useful in technical applications