PUZZLE #5098: Resonant Cavity Cipher [Helmholtz] (diff 7)

chime learn difficulty: 7/7 simulate author: system unsolved

Helmholtz resonator cavities. 11 cavities = 11-char word.

DATA

Difficulty	`7`
N Cols	`11`
N Chars	`36`
Cavities	{'neck_area_m2': 0.00033823, 'neck_length_m': 0.028909, 'volume_m3': 0.0002352, 'resonant_freq_hz': 344.5792, 'neck_radius_m': 0.010376}, {'neck_area_m2': 1.361e-05, 'neck_length_m': 0.017891, 'volume_m3': 7.97e-05, 'resonant_freq_hz': 164.4914, 'neck_radius_m': 0.002081}, {'neck_area_m2': 2.423e-05, 'neck_length_m': 0.006104, 'volume_m3': 6.768e-05, 'resonant_freq_hz': 362.9783, 'neck_radius_m': 0.002777}, {'neck_area_m2': 9.314e-05, 'neck_length_m': 0.01414, 'volume_m3': 0.00018468, 'resonant_freq_hz': 289.3237, 'neck_radius_m': 0.005445}, {'neck_area_m2': 4.641e-05, 'neck_length_m': 0.016191, 'volume_m3': 9.806e-05, 'resonant_freq_hz': 275.263, 'neck_radius_m': 0.003844}, {'neck_area_m2': 2.499e-05, 'neck_length_m': 0.022606, 'volume_m3': 0.0001828, 'resonant_freq_hz': 130.5068, 'neck_radius_m': 0.00282}, {'neck_area_m2': 0.00024497, 'neck_length_m': 0.027495, 'volume_m3': 0.00014512, 'resonant_freq_hz': 387.6061, 'neck_radius_m': 0.00883}, {'neck_area_m2': 9.69e-06, 'neck_length_m': 0.010463, 'volume_m3': 5.901e-05, 'resonant_freq_hz': 206.8458, 'neck_radius_m': 0.001756}, {'neck_area_m2': 2.386e-05, 'neck_length_m': 0.009211, 'volume_m3': 7.612e-05, 'resonant_freq_hz': 290.7142, 'neck_radius_m': 0.002756}, {'neck_area_m2': 1.569e-05, 'neck_length_m': 0.005393, 'volume_m3': 9.018e-05, 'resonant_freq_hz': 272.6172, 'neck_radius_m': 0.002235}, {'neck_area_m2': 0.00020445, 'neck_length_m': 0.014661, 'volume_m3': 0.00022734, 'resonant_freq_hz': 360.8206, 'neck_radius_m': 0.008067}
Note Base Hz	`130.81`
Note Base Name	`C3`
Temp C	`32.9`
Neck Flange	`unknown`
Hint	`T = 32.9°C. Flange unknown: try unflanged (δ=0.30·r) or flanged (δ=0.85·r). Only one produces a valid word.`
Answer Format	`single lowercase letter`

{
  "type": "chime",
  "difficulty": 7,
  "n_cols": 11,
  "n_chars": 36,
  "cavities": [
    {
      "neck_area_m2": 0.00033823,
      "neck_length_m": 0.028909,
      "volume_m3": 0.0002352,
      "resonant_freq_hz": 344.5792,
      "neck_radius_m": 0.010376
    },
    {
      "neck_area_m2": 1.361e-05,
      "neck_length_m": 0.017891,
      "volume_m3": 7.97e-05,
      "resonant_freq_hz": 164.4914,
      "neck_radius_m": 0.002081
    },
    {
      "neck_area_m2": 2.423e-05,
      "neck_length_m": 0.006104,
      "volume_m3": 6.768e-05,
      "resonant_freq_hz": 362.9783,
      "neck_radius_m": 0.002777
    },
    {
      "neck_area_m2": 9.314e-05,
      "neck_length_m": 0.01414,
      "volume_m3": 0.00018468,
      "resonant_freq_hz": 289.3237,
      "neck_radius_m": 0.005445
    },
    {
      "neck_area_m2": 4.641e-05,
      "neck_length_m": 0.016191,
      "volume_m3": 9.806e-05,
      "resonant_freq_hz": 275.263,
      "neck_radius_m": 0.003844
    },
    {
      "neck_area_m2": 2.499e-05,
      "neck_length_m": 0.022606,
      "volume_m3": 0.0001828,
      "resonant_freq_hz": 130.5068,
      "neck_radius_m": 0.00282
    },
    {
      "neck_area_m2": 0.00024497,
      "neck_length_m": 0.027495,
      "volume_m3": 0.00014512,
      "resonant_freq_hz": 387.6061,
      "neck_radius_m": 0.00883
    },
    {
      "neck_area_m2": 9.69e-06,
      "neck_length_m": 0.010463,
      "volume_m3": 5.901e-05,
      "resonant_freq_hz": 206.8458,
      "neck_radius_m": 0.001756
    },
    {
      "neck_area_m2": 2.386e-05,
      "neck_length_m": 0.009211,
      "volume_m3": 7.612e-05,
      "resonant_freq_hz": 290.7142,
      "neck_radius_m": 0.002756
    },
    {
      "neck_area_m2": 1.569e-05,
      "neck_length_m": 0.005393,
      "volume_m3": 9.018e-05,
      "resonant_freq_hz": 272.6172,
      "neck_radius_m": 0.002235
    },
    {
      "neck_area_m2": 0.00020445,
      "neck_length_m": 0.014661,
      "volume_m3": 0.00022734,
      "resonant_freq_hz": 360.8206,
      "neck_radius_m": 0.008067
    }
  ],
  "note_base_hz": 130.81,
  "note_base_name": "C3",
  "temp_c": 32.9,
  "neck_flange": "unknown",
  "hint": "T = 32.9\u00b0C. Flange unknown: try unflanged (\u03b4=0.30\u00b7r) or flanged (\u03b4=0.85\u00b7r). Only one produces a valid word.",
  "answer_format": "single lowercase letter"
}

author's note: Pool fill: chime diff 7