Messiaen's List
Messiaen's first mode, also called the whole-tone scale, is divided into six groups of two notes each. The intervals it contains are tone, tone, tone, tone, tone, tone - it has two transpositions and one mode.
The second mode, also called octatonic/diminished/semitone-tone/tone-semitone, may be divided into four groups of three notes each. It contains the intervals semitone, tone, semitone, tone, semitone, tone, semitone, tone - it has three transpositions, like the diminished 7th chord, and two modes:
The third mode is divided into three groups of four notes each. It contains the intervals tone, semitone, semitone, tone, semitone, semitone, tone, semitone, semitone - it has four transpositions, like the augmented triad, and three modes.
The fourth mode contains the intervals semitone, semitone, minor third, semitone, semitone, semitone, minor third, semitone - it has six transpositions, like the tritone, and four modes.
The fifth mode contains the intervals semitone, major third, semitone, semitone, major third, semitone - it has six transpositions, like the tritone, and three modes.
The sixth mode has the intervals tone, tone, semitone, semitone, tone, tone, semitone, semitone - it has six transpositions, like the tritone, and four modes.
The seventh mode contains the intervals semitone, semitone, semitone, tone, semitone, semitone, semitone, semitone, tone, semitone - it has six transpositions, like the tritone, and five modes.
Read more about this topic: Modes Of Limited Transposition
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