hexachordum molle

In music, a hexachord (also hexachordon) is a six-note series, as exhibited in a scale (hexatonic or hexad) or tone row. The term was adopted in this sense during the Middle Ages and adapted in the 20th century in Milton Babbitt's serial theory.

A kindred example is d-b-c[#]-d-c[#]-d-d, which might be sung in the hard hexachord as sol-mi-fa-sol-fa-sol-sol with the semitone b-c and whole-tone c-d "mentally" altered to a whole-tone and semitone respectively; "or a mutation will be made of mi into re," placing us properly in the ficta hexachord of A-F# with c[#]- ...

Colors indicate the three modes of hexachord: durum (hard, equivalent to G major), naturale (natural, equivalent to C major), and molle (soft, equivalent to F major. So the ancient system of solmization includes three base hexachords for each major key.

Hexachordal combinatoriality is a concept in post-tonal theory that describes the combination of hexachords, often used in reference to the music of the Second Viennese school.

Hexachordal complementation is the use of the potential for pairs of hexachords to each contain six different pitch classes and thereby complete an aggregate. Combinatorial tone rows from Moses und Aron by Arnold Schoenberg pairing complementary hexachords from P-0/I-3.

four notes tetrachord, musical scale of four notes, bounded by the interval of a perfect fourth (an interval the size of two and one-half steps, e.g., c–f).

Guido d'Arezzo The hexachord system, introduced and developed by Guido d'Arezzo and his colleagues in the 11th century, was a central element of musical practice and culture in medieval Europe, and continued to influence Renaissance and Manneristic practice through the early 17th century.

The seven main categories of mode have been part of musical notation since the middle ages. So, the list goes: Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian. Some of them are major modes, some are minor, and some are ambiguous.

The diatonic scale has seven modes:

• Major scale. Also known as the Ionian mode, the major scale consists of the seven distinct notes in a scale (C D E F G A B) and an eighth note that reproduces the first one in a higher octave.
• Dorian mode.
• Phrygian mode.
• Lydian mode.
• Mixolydian mode.
• Aeolian mode.
• Locrian mode.

A series of seven overlapping hexachords completed the gamut of formally recognized musical tones, a span of two and one-fourth octaves, containing the notes of the C major scale plus B♭. There were three varieties of hexachord - natural, hard, and soft. In the natural hexachord, which started on C, mi is E and fa is F.

We can find hexachordally combinatorial pairs without a matrix. For P-combinatoriality, hexachords A and B must map onto each other by transposition. That is, there must be some TnI of hexachord A that produces hexachord B.

A series of seven overlapping hexachords completed the gamut of formally recognized musical tones, a span of two and one-fourth octaves, containing the notes of the C major scale plus B♭. There were three varieties of hexachord - natural, hard, and soft. In the natural hexachord, which started on C, mi is E and fa is F.