Random Room Mode Frequency Dataset Generator

Description

Generate synthetic rectangular rooms and mode indices with delegated axial, tangential, or oblique frequencies at explicit sound speed.

A physical-model fixture draws inputs under explicit units and delegates a stated idealized calculation. Computed values follow that model; they are separate from measurements, calibration, and environmental effects omitted by the assumptions.

Generate synthetic rectangular rooms and mode indices with delegated axial, tangential, or oblique frequencies at explicit sound speed.

When to use this tool

Use this generator to create reproducible room mode frequency dataset cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.

How to use the tool and how it works

Supply count, lengthXMeters, lengthYMeters, lengthZMeters, order, soundSpeedMetersPerSecond, kinds in the field shapes below. Set seed when you need an explicit replay.
Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
Read rooms. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.

Draw rectangular-room dimensions in meters and an axial, tangential, or oblique mode. Select one, two, or three active axes respectively, draw positive integer mode orders, and delegate the corresponding frequency calculation using sound speed in meters per second.^[1]

Delegated operations used for this result: axial mode frequency; tangential mode frequency. Their calculation or parsing conventions apply to the corresponding result fields.^{[2, 3]}

Input field	Meaning and units	Accepted input
count	Requested count; the mechanics explain whether one draw expands into several returned records.	Required. Safe integer; minimum 1; maximum 64.
lengthXMeters	Length XMeters	Required. Object; no unknown keys.
lengthXMeters.minimum	Minimum	Required. Finite number; strictly above 0.
lengthXMeters.maximum	Maximum	Required. Finite number; strictly above 0.
lengthYMeters	Length YMeters	Required. Object; no unknown keys.
lengthYMeters.minimum	Minimum	Required. Finite number; strictly above 0.
lengthYMeters.maximum	Maximum	Required. Finite number; strictly above 0.
lengthZMeters	Length ZMeters	Required. Object; no unknown keys.
lengthZMeters.minimum	Minimum	Required. Finite number; strictly above 0.
lengthZMeters.maximum	Maximum	Required. Finite number; strictly above 0.
order	Order	Required. Object; no unknown keys.
order.minimum	Minimum	Required. Safe integer; minimum 1.
order.maximum	Maximum	Required. Safe integer; minimum 1.
soundSpeedMetersPerSecond	Sound Speed Meters Per Second	Required. Finite number; strictly above 0.
kinds	Kinds	Required. Array of Text; one of "axial", "tangential", "oblique".; minimum items 1; maximum items 3.
seed	Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed.	Optional. Safe integer.

Output field	Interpretation	Returned shape
rooms	Rooms	Required. Array of Object; no unknown keys.; minimum items 1; maximum items 64.
rooms[].lengthXMeters	Length XMeters	Required. Finite number; strictly above 0.
rooms[].lengthYMeters	Length YMeters	Required. Finite number; strictly above 0.
rooms[].lengthZMeters	Length ZMeters	Required. Finite number; strictly above 0.
rooms[].soundSpeedMetersPerSecond	Sound Speed Meters Per Second	Required. Finite number; strictly above 0.
rooms[].kind	Kind	Required. Text; one of "axial", "tangential", "oblique".
rooms[].ordersXYZ	Orders XYZ	Required. Array of Safe integer; minimum 0.; minimum items 3; maximum items 3.
rooms[].modeHertz	Mode Hertz	Required. Finite number; strictly above 0.
randomness	Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source.	Required. Object; no unknown keys.
randomness.seed	Optional numeric replay seed; normalization and precedence are explained below.	Required. Safe integer. or Null.
randomness.source	Source	Required. Text; one of "context", "seed".

An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.

json

{
  "input": {
    "count": 1,
    "lengthXMeters": {
      "minimum": 5,
      "maximum": 5
    },
    "lengthYMeters": {
      "minimum": 4,
      "maximum": 4
    },
    "lengthZMeters": {
      "minimum": 3,
      "maximum": 3
    },
    "order": {
      "minimum": 1,
      "maximum": 2
    },
    "soundSpeedMetersPerSecond": 340,
    "kinds": [
      "axial",
      "tangential",
      "oblique"
    ],
    "seed": 42
  },
  "output": {
    "rooms": [
      {
        "lengthXMeters": 5,
        "lengthYMeters": 4,
        "lengthZMeters": 3,
        "soundSpeedMetersPerSecond": 340,
        "kind": "oblique",
        "ordersXYZ": [
          1,
          2,
          2
        ],
        "modeHertz": 145.6895481647343
      }
    ],
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

This samples individual ideal rigid rectangular-room modes, not a complete modal spectrum, measured frequency response, damping, or acoustic treatment design. Frequencies must remain positive and finite.
A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.

Alternative or Complementary methods

For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.

References

Tool behavior and example: Random Room Mode Frequency Dataset Generator — tool.io
Calculation or validation: acoustics/axial-mode-frequency — tool.io
Calculation or validation: acoustics/tangential-mode-frequency — tool.io

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