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NexusPitch-Class Workspace

Private analytical workspace

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◒NexusPitch-Class Workspace
Local draft

Workspace

Set library

0

Select two or more sets to compare them.

{ }

No sets yet

Create one from the keyboard or import a list of analytical segments.

Active set

0–11, A/B for 10/11, or note names. Brackets, commas, and spaces are accepted.

Input order —Analysis set —
No pitch classes selected.

Sound check

Hear the collection

Playback is separate from analysis and preserves your entered order.

Set properties

Analysis

Choose pitch classes to calculate the set's canonical forms and interval content.
Subset classes and multiplicities
Direct superset classes
Set comparison matrix

Selected sets

Relations

⇄

Select sets to compare

Choose at least two library items. Every positive relation includes a transformation or inclusion witness.

Forte 1973 · Rules 1–3

Nexus structure

Priority 6 → 5 → 4 → 3 · qualified Kh/K*

Overview

Relation Matrix K/Kh

K inclusion Kh reciprocal

Common tones between pairs

Pairwise invariance matrix

Lower: Tn · Upper: TnI = Tn ∘ I0 = I0 ∘ T−n · select a cell for evidence

Similarity classes

Relation Matrix R

R₀ no matching entries R₁ four + interchange R₂ four matches Rₚ common n−1 pcs Z identical vectors
Seleziona l’info accanto a una relazione R per vedere i criteri soddisfatti.

Evidence

Detailed comparisons

Many sets at once

Bulk import

Persistence

Projects

Your projects

Projects are private to the signed-in account. Shared links remain read-only.

Appearance & conventions

Settings

Interface theme
Prime-form convention

Forte packed-left normal order and inversional equivalence, verified against the local Forte table.

K / Kh convention

K indicates proper inclusion between classes of different cardinality, including through a complement; Kh requires inclusion with both. Every Tn/TnI form is tested. Equal and inverse-related cardinalities are omitted.

Combined operation

Following Morris, TnI means Tn ∘ I0 and maps x to n − x. If ITn is read literally as I0 ∘ Tn, then TnI = IT−n (modulo 12).

Theory reference

Glossary

Definitions summarize standard pitch-class set theory terminology and the cited primary literature.