YOTOTOMO
CANON / LISTEN + EXPLORE
Pachelbel Canon
A4 432 Hz · 45 BPM · D-centered five-limit just intonation · 48 kHz / 24-bit
01 / TIME
0.75Hz
45 beats / minute
→
45 ÷ 60 = 0.75 beats / second
02 / 1/6 SECOND
quarter = 60 / 45 = 4/3 s
1/32 note = (4/3) / 8 = 1/6 s
48,000 × 1/6 = 8,000 samples
1/32 note = (4/3) / 8 = 1/6 s
48,000 × 1/6 = 8,000 samples
1/6 s
1/32 note
8,000
samples
64,000
samples / beat
256,000
samples / bar
03 / WAVES
D4
288 Hz
288 Hz
48
A4
432 Hz
432 Hz
72
D5
576 Hz
576 Hz
96
C5
512 Hz
512 Hz
85⅓
288 × 1/6 = 48
432 × 1/6 = 72
576 × 1/6 = 96
512 × 1/6 = 256/3
432 × 1/6 = 72
576 × 1/6 = 96
512 × 1/6 = 256/3
04 / 432 × 45
A4 ∈ {430, …, 442} Hz
35 ≤ tempo ≤ 60 BPM
sample rate = 48,000 Hz
grid = 1/32 note
A4 = 432 Hz
tempo = 45 BPM
N = 8,000 samples / 1/32
tempo = 45 BPM
N = 8,000 samples / 1/32
05 / EXCEPTION
25 / 27
C5 = 512 Hz → 85⅓ cycles / 1/32
C6 = 1,024 Hz → 170⅔ cycles / 1/32
C6 = 1,024 Hz → 170⅔ cycles / 1/32
06 / SCORE
CELLO GROUND · D–A–B–F# | G–D–G–A · ×28 across bars 1–56 · bar 57: D, then rest
Vn I
bar 3
Vn II
bar 5
Vn III
bar 7
57
bars
2 bars
canon delay
1,992
events
D major
final harmony
canon delay = 2 bars = 8 beats = 10.666666… s = 512,000 samples
225
basso / cello
605
Canon I
589
Canon II
573
Canon III
07 / SCORE SOURCES
ca. 1838–42
Staatsbibliothek zu Berlin · Mus.ms. 16481/8IMSLP scan / shelfmark record ↗
1919
Gustav Beckmann · Johann Pachelbel als KammerkomponistStaatliches Institut für Musikforschung scan ↗
2015
Mutopia Project ID 2047Mutopia edition ↗License · CC BY 4.0 ↗
YOTOTOMO
Performance realizationMachine-readable blueprint v1.0 ↗
08 / TECHNICAL RECORD
48,000 samples / second × 304.000 seconds = 14,592,000 samples
304.000 s
score grid
−18.6
LUFS-I
−2.1 dBFS
true peak
0
clip samples
| Hz |
|---|
09 / LISTEN AGAIN
10 / OWN THE RECORDING
11 / SOUND SOURCE
PIANO
Twilight-Salamander Grand Piano V6.1aAccurate-Salamander Project ↗License · CC BY 3.0 ↗