Symbolic / Grid Position / Chess squares (optional layout@origin: prefix)

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

exactNeeds root, layout before it sounds

b1d2f3

Addressgrid-position/chess/b1d2f3

Realization

See and hear it

Aura (aura), cell (0, 0) bottom left. No layout is written, so the cells are shown on aura; .layout() picks another. No origin is written, so cell (0, 0) is C3; .root() moves it.

The value is played as one MIDI chord. Assumed: layout aura, root C.

52·63·74

Same value

Also written as

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

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
    E3-Eb4-D5

    Path grid-position → note-set · 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.

  • Note distribution · MIDI : weight pairs

    exact
    52:1,63:1,74:1

    Path grid-position → note-set → note-space · 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.

  • Pitch-class set · Pitch-class numbers

    lossy
    2-3-4

    Path grid-position → note-set → pc-set · 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 octave, register, duplication, order. A note set collapses to the unordered set of its pitch classes.

  • Point set · Semitone offsets

    lossy
    0-11-22

    Path grid-position → note-set → point-set · 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 root, register. A note set keeps its shape as offsets from its lowest note and forgets where it sits.

  • Pitch-class distribution · Twelve weights

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

    Path grid-position → note-set → note-space → pc-space · 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 octave, register. Folds 128 MIDI bins into 12 pitch-class bins, keeping the weights.

  • Set class · Forte name

    lossy
    3-1

    Path grid-position → note-set → pc-set → pc-set-analysis · 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 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.
3 bridges exist but fail for this value

  • Chord symbol

    note-set→chord: Invalid note set as a chord: received "E3-Eb4-D5", expected notes that name a chord

    Path grid-position → note-set → chord · 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.

  • Pitch class

    note-set→chord: Invalid note set as a chord: received "E3-Eb4-D5", expected notes that name a chord

    Path grid-position → note-set → chord → pitch-class · 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.

  • Note

    note-set→chord: Invalid note set as a chord: received "E3-Eb4-D5", expected notes that name a chord

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

    • 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.

Live coding

Use in Symbolic Cycle

sym('grid-position/chess/b1d2f3').layout("aura").root("c3")

The cells sound on the layout .layout() names (wicki-hayden, harmonic-table, janko …), with cell (0, 0) on .root().

Open in Code Sequencer

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