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In music theory, a tetrachord (Greek: τετράχορδoν; Latin: tetrachordum) is a series of four notes separated by three intervals.In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning ...
[5] [6] Donald Martino had produced tables of hexachords, tetrachords, trichords, and pentachords for combinatoriality in his 1961 article, "The Source Set and its Aggregate Formations". [ 7 ] The difference between the interval vectors of a set and its complement is <X, X, X, X, X, X/2>, where (in base-ten) X = 12 – 2C, where C is the ...
The elaboration of tetrachords was also accompanied by penta- and hexachords. The joining of a tetrachord and a pentachord yields an octachord, i.e. the complete seven-tone scale plus a higher octave of the base note. However, this was also produced by joining two tetrachords, which were linked by means of an intermediary or shared note.
A minor seventh would be added to the dominant "V" chord to increase tension before resolution (V 7 –i). [2] The roots of the chords belong to a modern phrygian tetrachord (the equivalent of a Greek Dorian tetrachord, [10] the latter mentioned above), that is to be found as the upper tetrachord of a natural minor scale (for A minor, they are: A G F E).
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The most important of all the consonant species was the octave species, because "from the species of the consonance of the diapason arise what are called modes". [5] The basis of the octave species was the smaller category of species of the perfect fourth, or diatessaron; when filled in with two intermediary notes, the resulting four notes and three consecutive intervals constitute a ...