Spectral Enrichment Parameter E

Purpose of this page: Bore profile analysis for brasswind instruments; the parameter "E" is calculated for a user-supplied .CSV file containing a brass instrument bore profile.
Reference: M. J. Newton, D. M. Campbel, & A. Myers, (2026). "A parameter for predicting spectral enrichment in brasswind instruments," (in submission).

$E ≈ (C / 2L_eff) Σ (1/D_n + 1/D_{n+1}) l_n$

Upload a bore profile (.CSV file)

Two columns, no headers:

position (mm), diameter (mm)

0,	11.7,
...	...
...	...
1350,	280.0

Scaling constant C Units: mm (default 88)

Input plane position x_input Units: mm (default 0)