Banner Shape Ratio to Shield Converter

Transfer explicitly chosen shield-envelope aspect to a banner, not historic/legal banner proportion.

Description

A shield envelope's width-to-height ratio can be reused as a rectangular banner proportion.

A shield envelope's width-to-height ratio can be reused as a rectangular banner proportion.1

Multiplying that ratio by a new banner height preserves the chosen envelope proportions while changing overall dimensions. Use this tool to calculate banner shape ratio to shield converter from the supplied measurements and assumptions.

When to use Banner Shape Ratio to Shield Converter

Use this tool to calculate banner shape ratio to shield converter from the supplied measurements and assumptions. Establish the source, heraldic authority or layout convention, and use one consistent coordinate and length basis.

How to use Banner Shape Ratio to Shield Converter and understand its results

  1. Establish the source, heraldic authority or layout convention, and use one consistent coordinate and length basis.
  2. Enter shieldEnvelopeWidth, shieldEnvelopeHeight, bannerHeight, using the field meanings and rules below, then run the tool.
  3. Read result.envelopeAspect, result.bannerWidth. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
shieldEnvelopeWidthShield envelope widthnumberRequired
shieldEnvelopeHeightShield envelope heightnumberRequired
bannerHeightBanner heightnumberRequired

Require positive shieldEnvelopeWidth, shieldEnvelopeHeight and bannerHeight. Compute shieldEnvelopeWidth/shieldEnvelopeHeight and multiply that ratio by bannerHeight. Use one length unit consistently; the ratio is dimensionless. No shape other than a rectangular envelope is inferred.

envelopeAspect=shieldEnvelopeWidth/shieldEnvelopeHeight; bannerWidth=bannerHeight×envelopeAspect

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
resultStructured calculation or selected reference, with fields listed belowobject
result.envelopeAspectEnvelope Aspect; follow the units, sign, ordering and evidence convention stated abovenumber
result.bannerWidthBanner Width; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "shieldEnvelopeWidth": 100,
    "shieldEnvelopeHeight": 120,
    "bannerHeight": 60
  },
  "output": {
    "result": {
      "envelopeAspect": 0.8333333333333334,
      "bannerWidth": 50
    }
  }
}

Limitations and assumptions

Multiplying that ratio by a new banner height preserves the chosen envelope proportions while changing overall dimensions. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Barry Stripes Count and Width Solver for this related task: Barry describes a field divided into horizontal bands; the bands occupy the height of the field.

Use Azure Frequency Rank Finder in Roll when its separate inputs and assumptions fit the question: A tincture frequency rank describes its position within a particular counted corpus of arms.

References

  1. Banner Shape Ratio to Shield Converter — tool.io

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