metallic ratio

generalization of the golden ratio; positive real number x such that x = n + 1/x, for a natural number n
Thing sequence_of_real_numbers Q11634820
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metallic ratio

Summary

metallic ratio is a sequence of real numbers[1]. It draws 89 Wikipedia views per month (sequence_of_real_numbers category, ranking #2 of 3).[2]

Key Facts

  • metallic ratio's instance of is recorded as sequence of real numbers[3].
  • metallic ratio is a type of irrational number[4].
  • metallic ratio is a type of constructible number[5].
  • metallic ratio is a type of quadratic irrational[6].
  • metallic ratio's Commons category is recorded as Metallic means[7].
  • metallic ratio comprises golden ratio[8].
  • metallic ratio comprises silver ratio[9].
  • metallic ratio comprises bronze ratio[10].
  • metallic ratio's different from is recorded as silver ratio[11].
  • metallic ratio's has part is recorded as real number[12].
  • metallic ratio's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

metallic ratio's instance of is recorded as sequence of real numbers[3]. Recorded subclass of include irrational number[4], constructible number[5], and quadratic irrational[6].

Use and Application

Components include golden ratio[8], a mathematical constant[14]; silver ratio[9], a mathematical constant[15]; and bronze ratio[10], a mathematical constant[16].

Why It Matters

metallic ratio draws 89 Wikipedia views per month (sequence_of_real_numbers category, ranking #2 of 3).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[17] It is known by 6 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Inline context (facts about related entities)

  1. [14] . Wikidata. wikidata.org. → on this site
  2. [15] . Wikidata. wikidata.org. → on this site
  3. [16] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). metallic ratio. Retrieved May 3, 2026, from https://4ort.xyz/entity/metallic-ratio
MLA “metallic ratio.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/metallic-ratio.
BibTeX @misc{4ortxyz_metallic-ratio_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{metallic ratio}}, year = {2026}, url = {https://4ort.xyz/entity/metallic-ratio}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): metallic ratio — https://4ort.xyz/entity/metallic-ratio (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 15d ago · MatSuBot bot · 2026-05-09 view diff on Wikidata ↗
    Aliases
    Maintained by wikiproject WikiProject Mathematics
    Subclass of
    Has parts
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P9758]]: [[Q16317911]], fix redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/CB/43bf22167717|details]])"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.