Acoustic scale

[clarification needed] The acoustic scale appears sporadically in nineteenth-century music, notably in the works of Franz Liszt and Claude Debussy.[8] The acoustic scale is also remarkably common in the music of Nordeste, the northeastern region of Brazil[9] (see Escala nordestina).It plays a major role in jazz harmony, where it is used to accompany dominant seventh chords starting on the first scale degree.However, in the harmonic series, the notes marked with asterisks are out of tune: F4* (Playⓘ) is almost exactly halfway between F♮4 and F♯4, A♭4* (Playⓘ) is about 9 cents closer to A♭4 than A♮4, and B♭4* is too flat to be generally accepted as part of 12 equal temperament, being almost exactly a third of a semitone flatter in just intonation.Therefore, many occurrences of this scale in jazz may be regarded as unsurprising; it shows up in modal improvisation and composition over harmonic progressions which invite use of the melodic minor.
The blue notes (B 7 and F half sharp , [ a ] 7 and 11) are noticeably out of tune. [ 11 ] See: harmonic seventh and eleventh harmonic .
AcousticsScale (ratio)pitch classesForte numberComplementseven-notesyntheticascending melodic minor scalemajor scaleaugmented fourthminor seventhcollectionSiberiaTuvan musicOvertone singingJew's harpdoshpuluurchanzyFranz LisztClaude DebussyIgor StravinskyBéla BartókKarol SzymanowskiNordesteEscala nordestinajazz harmonydominant seventhErnő Lendvaiharmonic seventhharmonic serieshalfway12 equal temperamenta third of a semitonejust intonationraised fourthmajor secondmajor sixthperiodsgolden ratiodiatonictriple-Fibonacci sequencechromaticduple-meteredmelodic minor scaletetrachordChord-scale systemJazz scaleMystic chordScale of harmonicsVachaspati (raga)quartertoneeleventh harmonicPersichetti, VincentNew York CityW. W. Norton & CompanyPacific, MissouriMel Bay PublicationsGuitar PlayerLendvai, ErnőAlan BushBárdos, LajosTymoczko, DmitriJournal of Music TheoryMusic Theory SpectrumThe Dallas Morning NewsWilson, PaulModes in Western musicGregorianAuthenticDorianPhrygianLydianMixolydianPlagalHypodorianHypophrygianHypolydianHypomixolydianIonianHypoionianAeolianHypoaeolianLocrianHypolocrianPentatonicReciting toneIonian (I)Dorian (II)Phrygian (III)Lydian (IV)Mixolydian (V)Aeolian (VI)natural minorLocrian (VII)Jazz minorJazz minor (I)ascending melodic minorDorian ♭2 (II)Lydian augmented (III)Aeolian dominant (V)descending melodic majorHalf diminished (VI)Altered (VII)Harmonic minorHarmonic minor (I)Ukrainian Dorian (IV)Phrygian dominant (V)Harmonic majorHarmonic major (I)Double harmonic scaleDouble harmonic (I)Hungarian minor (IV)