Plain string calculator
Replica of the «corde monofilament» sheet: from frequency, vibrating length and tension it gives the theoretical diameter in KF, nylon and gut and the catalogue references; or, from a gauge, the tension.
Diameters from tension: d = c · √(T · 1000) · 100 / (f · L)
Tension from gauge: T = (d · f · L)² / (c² · 10⁷)
Results
Frequency: 330.0 Hz · Vibrating length: 65.0 cm · Tension: 7.50 kg
KF (Alliance fluorocarbon)
Theoretical diameter: 60.6 %mm (KF tier 1)
| Offset | Catalogue gauge | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 60 %mm | KF60 | 7.36 kg |
| +2 | 62 %mm | KF62 | 7.86 kg |
| +3 | 62 %mm | KF62 | 7.86 kg |
| +4 | 64 %mm | KF64 | 8.38 kg |
| +5 | 64 %mm | KF64 | 8.38 kg |
Nylon
Theoretical diameter: 68.6 %mm
| Offset | Catalogue gauge | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 68 %mm | NN68 | 7.36 kg |
| +2 | 70 %mm | NN70 | 7.80 kg |
| +3 | 70 %mm | NN70 | 7.80 kg |
| +4 | 72 %mm | NN72 | 8.25 kg |
| +5 | 72 %mm | NN72 | 8.25 kg |
Gut
Theoretical diameter: 62.6 %mm
| Offset | Catalogue gauge | Reference | Tension with that reference |
|---|---|---|---|
| +0 | 61 %mm | BRH61 | 7.13 kg |
| +2 | 63 %mm | BRH63 | 7.60 kg |
| +3 | 63 %mm | BRH63 | 7.60 kg |
| +4 | 66 %mm | BRH66 | 8.34 kg |
| +5 | 66 %mm | BRH66 | 8.34 kg |
How this was calculated
Original formula: d = c · √(T · 1000) · 100 / (f · L)
With your values:
- KF (Alliance fluorocarbon), KF tier 1 (c = 150.0000): d = 150.0000 · √(7.50 · 1000) · 100 / (330.0 · 65.0) = 60.6 %mm
- Nylon (c = 170.0000): d = 170.0000 · √(7.50 · 1000) · 100 / (330.0 · 65.0) = 68.6 %mm
- Gut (c = 155.0000): d = 155.0000 · √(7.50 · 1000) · 100 / (330.0 · 65.0) = 62.6 %mm
- KF uses a tiered coefficient: 150 (d < 100), 156.9767 (100 ≤ d < 150) and 162.6506 (d ≥ 150).
- The original read the tension as text with two decimals and used 32-bit Single variables for nylon and gut; this is reproduced as is.
- 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).