A grid position in chess squares (optional layout@origin: prefix)

Realization

See and hear it

Same value

Also written as

Every notation of the grid position concept, formatted from this value by the Symbolic library.

• Cells col,row (optional layout@origin: prefix)exact
  aura@C3:2,2 2,3 3,3 3,4 4,4 4,5 5,5 5,6
• Chess squares (optional layout@origin: prefix) · this pageexact
  aura@C3:c3c4d4d5e5e6f6f7
• Launchpad programmer-mode notes (11–88)exact
  aura@C3:33 43 44 54 55 65 66 76

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

  exact
  D4-F4-A4-C5-E5-G5-B5-D6

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

• Chord symbol · Chord symbol

  lossy
  Fmaj13#11/D

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

  • Drops octave, voicing. D4-F4-A4-C5-E5-G5-B5-D6 is named Fmaj13#11/D; register and voicing are dropped.

• Note distribution · MIDI : weight pairs

  exact
  62:1,65:1,69:1,72:1,76:1,79:1,83:1,86:1

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

• Pitch-class set · Pitch-class numbers

  lossy
  0-2-4-5-7-9-11

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

  • Drops octave, register, duplication, order. A note set collapses to the unordered set of its pitch classes.

• Point set · Semitone offsets

  lossy
  0-3-7-10-14-17-21-24

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

  • Drops root, register. A note set keeps its shape as offsets from its lowest note and forgets where it sits.

• Pitch class · Pitch-class number

  lossy
  5

  Path grid-position → note-set → chord → pitch-class · needs layout, root

  • Drops octave, voicing. D4-F4-A4-C5-E5-G5-B5-D6 is named Fmaj13#11/D; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

• Pitch-class distribution · Twelve weights

  lossy
  1,0,2,0,1,1,0,1,0,1,0,1

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

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

• Set class · Forte name

  lossy
  7-35

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

  • 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.

• Note · Letter name

  lossy
  F4

  Path grid-position → note-set → chord → pitch-class → note · needs layout, root, octave

  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Drops octave, voicing. D4-F4-A4-C5-E5-G5-B5-D6 is named Fmaj13#11/D; register and voicing are dropped.
  • Drops quality, bass. A chord symbol's root.

Live coding

Use in Symbolic Cycle

sym('grid-position/chess/aura@C3:c3c4d4d5e5e6f6f7')