In a traditional 12-note tone row, it seems to me that the first six notes will always either be in the same set class as the last six notes, or will be z-related, but I'm having trouble confirming ...
How far do the supporting chords contribute to the tonality of Vi Hart's “Twinkle Twinkle Little Star”, and if they do, how?
Vi Hart, a mathemusician (cool eh!) at the Khan Academy posted an excellent video explaining 12 Tone music. She first explains the rules thus: You have to use all twelve chromatic pitches in some ...
In 12-tone music, how frequently do composers allow themselves to alternate between adjacent notes of the tone row?
In Vi Hart's video on twelve-tone nursery rhymes, she says that one of the rules of twelve-tone composition is that you're allowed to alternate between adjacent notes in the tone row as much as you ...