Wound string calculator
Replica of the «cordes filees» sheet: from frequency, length and tension it gives the linear weight (PUL) and the closest references in the five wound-string families.
PUL and references from tension: PUL = 24500 · T · 10⁵ / (f² · L²)
Tension from PUL: T = f² · L² · PUL / 2,45·10⁹
Results
Frequency: 82.4 Hz · Vibrating length: 65.0 cm · Tension: 7.50 kg
Computed PUL: 640.5 PUL
Nylon / silver
| Offset | Catalogue PUL | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 560 PUL | NFA560 | 6.56 kg |
| +15 | 560 PUL | NFA560 | 6.56 kg |
| +30 | 560 PUL | NFA560 | 6.56 kg |
| +45 | 560 PUL | NFA560 | 6.56 kg |
| +60 | 560 PUL | NFA560 | 6.56 kg |
Nylon / copper
| Offset | Catalogue PUL | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 620 PUL | NFC622 | 7.26 kg |
| +15 | 620 PUL | NFC622 | 7.26 kg |
| +30 | 620 PUL | NFC622 | 7.26 kg |
| +45 | 620 PUL | NFC622 | 7.26 kg |
| +60 | 620 PUL | NFC622 | 7.26 kg |
Nylon / plastic
| Offset | Catalogue PUL | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 410 PUL | NFP410 | 4.80 kg |
| +15 | 410 PUL | NFP410 | 4.80 kg |
| +30 | 410 PUL | NFP410 | 4.80 kg |
| +45 | 410 PUL | NFP410 | 4.80 kg |
| +60 | 410 PUL | NFP410 | 4.80 kg |
Gut / silver
| Offset | Catalogue PUL | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 640 PUL | BFA642 | 7.49 kg |
| +15 | 640 PUL | BFA642 | 7.49 kg |
| +30 | 640 PUL | BFA642 | 7.49 kg |
| +45 | 640 PUL | BFA642 | 7.49 kg |
| +60 | 700 PUL | BFA702 | 8.20 kg |
Gut / copper
| Offset | Catalogue PUL | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 640 PUL | BFC640 | 7.49 kg |
| +15 | 640 PUL | BFC640 | 7.49 kg |
| +30 | 640 PUL | BFC640 | 7.49 kg |
| +45 | 640 PUL | BFC640 | 7.49 kg |
| +60 | 640 PUL | BFC640 | 7.49 kg |
How this was calculated
Original formula: PUL = 24500 · T · 10⁵ / (f² · L²)
With your values:
- PUL = 24500 · 7.50 · 10⁵ / (82.4² · 65.0²) = 640.5
- References come from the catalogue row whose value is the largest one less than or equal to the computed value (LOOKUP), with five hypotheses: +0, +2, +3, +4 and +5 %mm (plain) or +0, +15, +30, +45 and +60 PUL (wound).