FA-81227 / Music interval and transposition theory / Member archive

Melody transposition fitted into an instrument range: lowest fitting octave chosen instead of nearest · case 02

A melody that already fits a wide range is dropped several octaves to the lowest register that still fits.

Member previewVariant 2 · 3 implementations · 8 checks per implementation

Case contract

Input [notes, semitones, lo, hi]. Transpose every note by the semitone amount, then shift the whole melody by the octave offset k (|k| <= 10) of smallest magnitude that places every note within [lo, hi] inclusive. Return the notes, or None if the melody is empty, lo > hi, or no octave fits.

Why this case matters

Arranging tools transpose parts into playable instrument ranges.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
oracle 1	`[36, 40, 43]`	`[48, 52, 55]`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.