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Astrological Harmonic Chart Calculator

Apply an anchored integer angular harmonic to explicit zodiac longitudes with [0,360) normalization; no ephemeris, chart interpretation or predictive claim.

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Description

Return a supplied harmonic angular transform.

Traditional chart systems use ordered symbolic labels and cyclic angular notation. Arithmetic on supplied stems, sign positions or reflected angles can preserve a convention without computing dates, establishing astronomical positions or supporting personality or future-event predictions.

Return a supplied harmonic angular transform.

When to use this tool

Use Astrological Harmonic Chart Calculator when checking the stated traditional label-selection or angular-notation convention.

How to use the tool and how it works

  1. Enter longitudesDegrees, harmonic, anchorDegrees. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Return a supplied harmonic angular transform. Require whole harmonic 1..128 and anchor/longitudes in [0,360]; wrap anchor+harmonic*(longitude-anchor) modulo 360.1

Input fieldMeaning and unitsAccepted input
longitudesDegreesLongitudes Degrees Unit: deg.Required. Array of finite number. Implementation limit: 128 items.
harmonicHarmonicRequired. Safe integer. Calculation range: 1 through 128, inclusive.
anchorDegreesAnchor Degrees Unit: deg.Required. Finite number.
Output fieldInterpretationReturned shape
resultReturned calculated value or nested object under the stated output convention.Required. Object.
result.longitudesDegreesLongitudes DegreesCalculated result member: array.
json
{
  "input": {
    "longitudesDegrees": [
      10,
      350
    ],
    "harmonic": 2,
    "anchorDegrees": 0
  },
  "output": {
    "result": {
      "longitudesDegrees": [
        20,
        340
      ]
    }
  }
}

Limitations and assumptions

  • This is a traditional chart-notation transform on supplied angles, not an ephemeris or evidence of predictive or causal influence.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use an appropriate calendar or astronomical ephemeris when actual dates or positions are needed, and interpret traditional chart labels within their stated cultural context.

References

  1. Calculation and input contract: astrology/harmonic-chart-transform — tool.io

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