A note space in midi : weight pairs

Realization

See and hear it

Same value

Also written as

Every notation of the note distribution concept, formatted from this value by the Symbolic library.

• MIDI : weight pairs · this pageexact
  60:1,70:1,81:1
• 128 weightsexact
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
• Notes repeated by countexact
  60-70-81
• Bracketed 128 weightsquantized
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.33,0,0,0,0,0,0,0,0,0,0.33,0,0,0,0,0,0,0,0,0,0,0.33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
  • Drops absolute counts. Weights are scaled to sum to 1 and rounded to two decimals.

Other concepts

Bridges

Converting into another concept may need context this value does not carry (a root, an octave, a key). Where it is missing the library assumes a default and says so; where a step drops information it is listed.

• Note set · Letter names

  lossy
  C4-Bb4-A5

  Path note-space → note-set

  • Drops weights. A distribution's support: the notes with any weight.

• Pitch-class distribution · Twelve weights

  lossy
  1,0,0,0,0,0,0,0,0,1,1,0

  Path note-space → pc-space

  • Drops octave, register. Folds 128 MIDI bins into 12 pitch-class bins, keeping the weights.

• Grid position · Cells col,row (optional layout@origin: prefix)

  lossy
  aura@C3:3,0 4,2 6,3

  Path note-space → note-set → grid-position · needs layout, root

  • Assumed layout aura. No layout was given, so positions are read on the aura layout.
  • Assumed root C3. No root was given, so the value sounds above C3.
  • Drops weights. A distribution's support: the notes with any weight.
  • Drops alternative positions. C4 has 2 positions, Bb4 has 2 positions, A5 has 2 positions on aura; the one nearest (0, 0) is kept.

• Pitch-class set · Pitch-class numbers

  lossy
  0-9-10

  Path note-space → note-set → pc-set

  • Drops weights. A distribution's support: the notes with any weight.
  • Drops octave, register, duplication, order. A note set collapses to the unordered set of its pitch classes.

• Point set · Semitone offsets

  lossy
  0-10-21

  Path note-space → note-set → point-set

  • Drops weights. A distribution's support: the notes with any weight.
  • Drops root, register. A note set keeps its shape as offsets from its lowest note and forgets where it sits.

• Set class · Forte name

  lossy
  3-2A

  Path note-space → note-set → pc-set → pc-set-analysis

  • Drops weights. A distribution's support: the notes with any weight.
  • Drops octave, register, duplication, order. A note set collapses to the unordered set of its pitch classes.
  • Drops transposition. The set's Tn class (Forte name with A/B, prime form); the transposition is dropped.

Live coding

Use in Symbolic Cycle

sym('note-space/pairs/60:1,70:1,81:1')