Missing Fundamental Reference

Return the pitch mechanism and limitations of the missing-fundamental phenomenon.

Description

A harmonic complex can evoke a pitch at the absent fundamental frequency when the remaining partials support a common periodicity.

A harmonic complex can evoke a pitch at the absent fundamental frequency when the remaining partials support a common periodicity. This reference explains the selected concept and the evidence needed to interpret it.^[1]

The returned values include Source, Statement, Topic. The How section below explains the calculation, input rules and interpretation.

When to use Missing Fundamental Reference

Use Missing Fundamental Reference when you need to evaluate the supplied records under the calculation and evidence rules below. Pitch salience depends on harmonic number, spacing, phase, bandwidth, level, and listener; an arbitrary set of frequencies may not evoke it. This is an introductory excerpt, not the complete standard, a current compliance check or a project-specific calculation.

Choose the measured quantities, units, weighting and measurement basis before entering values. For a reference, select the exact topic. For a catalog lookup, prepare complete source-backed records; for a screen, select an applicable caller limit.

How to use Missing Fundamental Reference and understand its results

Choose the measured quantities, units, weighting and measurement basis before entering values. For a reference, select the exact topic. For a catalog lookup, prepare complete source-backed records; for a screen, select an applicable caller limit.
Enter topic using the field table and calculation rules, then run the tool.
Read source, statement, topic. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
topic	Reference topic to return.	string; one of "phenomenon", "not-difference-tone", "caution"	Required

Choose one of the exact topic values in the table. The tool indexes a fixed, locally embedded reference entry and returns its source label, statement and unchanged topic. It does not fetch the source or update the wording. Topic meanings and all returned entries are shown below.

Selection	Returned reference entry
phenomenon	source: Pitch-perception literature; statement: A harmonic complex can evoke a pitch at the absent fundamental frequency when the remaining partials support a common periodicity.; topic: phenomenon
not-difference-tone	source: Pitch-perception literature; statement: The residue pitch need not be explained by physical energy at the fundamental or by a single nonlinear difference tone.; topic: not-difference-tone
caution	source: Pitch-perception literature; statement: Pitch salience depends on harmonic number, spacing, phase, bandwidth, level, and listener; an arbitrary set of frequencies may not evoke it.; topic: caution

selected exact topic → embedded source label, explanatory statement and topic

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
source	Source used for the reference statement.	string
statement	Narrow reference statement for the selected topic.	string
topic	Selected reference topic.	string; one of "phenomenon", "not-difference-tone", "caution"

json

{
  "input": {
    "topic": "phenomenon"
  },
  "output": {
    "source": "Pitch-perception literature",
    "statement": "A harmonic complex can evoke a pitch at the absent fundamental frequency when the remaining partials support a common periodicity.",
    "topic": "phenomenon"
  }
}

Limitations and assumptions

Pitch salience depends on harmonic number, spacing, phase, bandwidth, level, and listener; an arbitrary set of frequencies may not evoke it. This is an introductory excerpt, not the complete standard, a current compliance check or a project-specific calculation.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Extremely large text inputs are rejected. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Binaural Unmasking Reference: The head alters ear-specific spectra and can improve the signal-to-noise ratio at the ear farther from a masker, especially at higher frequencies. This reference explains the selected concept and the evidence needed to interpret it. For a complementary task, use McGurk Effect Reference: Conflicting seen and heard syllables can produce a fused or altered phonetic percept, demonstrating audiovisual speech integration. This reference explains the selected concept and the evidence needed to interpret it.

References

Missing Fundamental Reference — tool.io

Similar or alternative tools

Binaural Unmasking Reference
The head alters ear-specific spectra and can improve the signal-to-noise ratio at the ear farther from a masker, especially at higher frequencies. This reference explains the selected concept and the evidence needed to interpret it.
McGurk Effect Reference
Conflicting seen and heard syllables can produce a fused or altered phonetic percept, demonstrating audiovisual speech integration. This reference explains the selected concept and the evidence needed to interpret it.