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heptatonic scale
A heptatonic scale is a musical scale that has seven pitches per octave. Examples include the ''major scale'' (or ''minor scale''), (e.g., in C major: C D E F G A B C—and in the relative minor, A minor: A B C D E F G); the ''melodic minor scale'', C D E F G A B C ascending, C B A G F E D C descending; the ''harmonic minor scale'', C D E F G A B C; and a scale variously known as the Roman ''Byzantine'', and ''Hungarian'',〔''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell (London, 2001)〕 scale, C D E F G A B C. Indian Classical theory postulates seventy-two seven-tone scale types, whereas others postulate twelve or ten (depending on the theorist) seven-tone scale types collectively called ''thaat''.
Several heptatonic scales in Western, Roman, Spanish, Hungarian, and Greek music can be analyzed as juxtapositions of tetrachords.〔Dupre, Marcel (1962). ''Cours Complet d'Improvisation a l'Orgue'', v.2, p. 35, trans. John Fenstermaker. Paris: Alphonse Leduc. ASIN: B0006CNH8E.〕 All heptatonic scales have all intervals present in their interval vector analysis,〔Hanson, Howard. (1960) ''Harmonic Materials of Modern Music'', p. 362 ff. New York: Appleton-Century-Crofts. LOC 58-8138.〕 and thus all heptatonic scales are both hemitonic and tritonic. There is a special affinity for heptatonic scales in the Western key signature system.
==Diatonic scale==
Any seven-note scale constructed sequentially using only whole tones and half tones, repeating at the octave, having a tonal center, and comprising only one tritone interval between any two scale members, which ensures that the half tone intervals are as far apart as possible. In Western music, there are seven such scales, and they are commonly known as the modes of the major scale (Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian, and Locrian). However, in Indian Classical music, a theoretical maximum of 72 heptatonic scales are possible though fewer are actually used.
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