Pythagorean comma

small interval in Pythagorean tuning between two enharmonically equivalent notes such as C and B♯
Thing comma Q540508
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Pythagorean comma

Summary

Pythagorean comma is a comma[1]. It draws 148 Wikipedia views per month (comma category, ranking #1 of 3).[2]

Key Facts

  • Pythagorean comma's instance of is recorded as comma[3].
  • Pythagorean comma's Commons category is recorded as Pythagorean commas[4].
  • Pythagorean comma's Freebase ID is recorded as /m/0183sb[5].
  • Pythagorean comma's described by source is recorded as Riemann's Music Dictionary[6].
  • Pythagorean comma's described by source is recorded as A Dictionary of Music and Musicians, 1900[7].
  • Pythagorean comma's Encyclopædia Britannica Online ID is recorded as topic/Pythagorean-comma[8].
  • Pythagorean comma's defining formula is recorded as \hbox{apotome} - \hbox{limma} \approx 113.69 - 90.23 \approx 23.46 ~\hbox{cents} ![9].
  • Pythagorean comma's defining formula is recorded as \frac{\left(\frac{3}{2}\right)^{12}}{2^7} = \frac{3^{12}}{2^{19}} = \frac{531441}{524288} \approx 23{,}46\;\mathrm{Cent}[10].
  • Pythagorean comma's JSTOR topic ID is recorded as pythagorean-comma[11].
  • Pythagorean comma's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Pythagorean comma's Microsoft Academic ID is recorded as 2776690892[13].
  • Pythagorean comma's Krugosvet article is recorded as gumanitarnye_nauki/filosofiya/PIFAGORESKAYA_KOMMA.html[14].

Why It Matters

Pythagorean comma draws 148 Wikipedia views per month (comma category, ranking #1 of 3).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[15] It is known by 5 alternative names across languages and contexts.[16]

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] . Freebase Data Dumps. 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.
  12. [14] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.
  3. [16] . 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). Pythagorean comma. Retrieved May 3, 2026, from https://4ort.xyz/entity/pythagorean-comma
MLA “Pythagorean comma.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pythagorean-comma.
BibTeX @misc{4ortxyz_pythagorean-comma_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pythagorean comma}}, year = {2026}, url = {https://4ort.xyz/entity/pythagorean-comma}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pythagorean comma — https://4ort.xyz/entity/pythagorean-comma (retrieved 2026-05-03)

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