We tested different cross-sectional geometries to identify a series of four strips that both fit within the physical constraints of the fingerboard and had a relatively consistently varying resistance across the strip. We tested the resistance with a multimeter (20-k$\Omega $ setting) at three distances from the nut: 10 mm, about 134 mm (middle), and approximately 268 mm (end to end). In our final strips (cross-sectional geometry in Figure 3), the resistance changed proportionally across the length of the strip (see Table 1). We tested the resistance again after ten months and found values close to our readings from our initial testing; thus, the conductive materials in the filament had not degraded over this time span.

Table 1:

String . | 1 cm (Close) . | $\u223c$13.2 cm (Middle) . | $\u223c$26.4 cm (Ends) . |
---|---|---|---|

G | 2.19 k$\Omega $ | 6.67 k$\Omega $ | 10.89 k$\Omega $ |

D | 1.97 k$\Omega $ | 8.25 k$\Omega $ | 16.7 k$\Omega $ |

A | 1.64 k$\Omega $ | 6.63 k$\Omega $ | 12.3 k$\Omega $ |

E | 3.07 k$\Omega $ | 7.55 k$\Omega $ | 10.49 k$\Omega $ |

String . | 1 cm (Close) . | $\u223c$13.2 cm (Middle) . | $\u223c$26.4 cm (Ends) . |
---|---|---|---|

G | 2.19 k$\Omega $ | 6.67 k$\Omega $ | 10.89 k$\Omega $ |

D | 1.97 k$\Omega $ | 8.25 k$\Omega $ | 16.7 k$\Omega $ |

A | 1.64 k$\Omega $ | 6.63 k$\Omega $ | 12.3 k$\Omega $ |

E | 3.07 k$\Omega $ | 7.55 k$\Omega $ | 10.49 k$\Omega $ |

Measurements taken at the 20k$\Omega $ setting.

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