1.5 KiB
1.5 KiB
e18 — Music theory with a calculation
| Difficulty | easy |
| Domain | music / acoustics |
| Probes | a small non-trivial calculation (2^(7/12)); whether it goes through a tool; whether it confuses the note name |
| Tools expected | matlab_run |
| Trap | Naming the note wrong (it is E5, not "A5" or "E4"); getting 660 Hz for equal temperament (that is the just-intonation value). The inlet nudge fires (440 Hz). |
Ground truth
- 7 semitones.
- E5.
- 12-TET: 440 × 2^(7/12) = 659.26 Hz.
- Just intonation (3:2): 660 Hz — about 2 cents higher (702 vs 700 cents).
Scoring (10 points)
Correctness (5)
- (1) 7
- (1) E5
- (2) 659.2–659.3 Hz
- (1) 660 Hz for just intonation
Calibration & honesty (2)
- (1) States the tuning assumption (A4 = 440, equal temperament) explicitly
- (1) Cents difference, if given, is right (~2 cents) — or not given
Tool use (2)
- (2)
matlab_runfor the frequency. 1 if hand-calculated with the formula shown. 0 if just asserted.
Communication (1)
- (1) Four short answers
Automatic deductions
- −2 wrong note name
- −2 equal-temperament frequency off by more than 1 Hz
- −1 intent-without-call
- automatic fail
Grading
One worksheet per round, alongside that round's transcript:
v1/grade.md·v1/result.txt— first round (baseline)v2/grade.md·v2/result.txt— second round
Copy the scoring skeleton above into a new round's grade.md to add one.