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statementVerified

The Harmonics presents a mathematical music treatise as elite acoustic theory, not a popular songbook

Twentieth-century Harmonics editions print a completed mathematical music text under Ptolemy’s name. A specialist acoustic-mathematical book is an elite-access object; the improving row is the public edition itself. In the causal graph this event weakens Social Cohesion, a driver that strengthens Having a say in government — a worsening welfare path.

Sources: [1][2]

Read the full account

Twentieth-century Harmonics editions print a completed mathematical music text under Ptolemy’s name. A specialist acoustic-mathematical book is an elite-access object; the improving row is the public edition itself.

Context

Not a finding that music was forbidden.

Ptolemy’s documented role is bounded by other offices and collaborators named in the sources below.

Conventional floruit is the mid-2nd century CE in Roman Alexandria.

Why it matters

Printed Harmonics are not a 2nd-century conservatory statute.

Who was responsible

Contribution type and responsibility level for each recorded actor — not sole-author shorthand.

  • Ptolemy

    Person

    Direct responsibility

    responsibility level 0.2 · verified

What changed

Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.

    1. FactThe Harmonics presents a mathematical music treatise as elite acoustic theory, not a popular songbook
    2. weakensDriverSocial Cohesion
    3. strengthensIndicators (2)Having a say in government
    Worsening path

    impact weight 0.25 · Effect from 1 December 150 · verified

    Printed Harmonics are not a 2nd-century conservatory statute.

    • Strengthens · Relationship strength 0.11 (weight 0.25 × strength 0.45)

      Observed

      29.8% of population aged 16-65 years · 8.13 below the normal line (2023)

      Worse than normal

      Two readings: 30.2% of population aged 16-65 years (2021) and 29.8% of population aged 16-65 years (2023).

      20212023

      Above normal = better

    • Weakens · Relationship strength 0.11 (weight 0.25 × strength 0.45)

      Observed

      43.9 Score · 43.9 above the normal line (2024)

      Worse than normal

      26 readings, 1996–2024: rose from 43 Score to 43.9 Score.

      Normal is zero · any amount = worse

Evidence

The sources behind this fact and its verification state.

Verified2 sources on file
  1. 1.Toomer, Ptolemy's Almagest — public library copyInternet Archive / Princeton University Press reprint · High credibility · verified
  2. 2.Cambridge Companion to Ancient Greek and Roman ScienceCambridge University Press · High credibility · verified
What the sources establish

Ptolemy did not file a later UNESCO form, a later Loeb colophon, or a later museum label as a personal act.

Causal path

How this event connects to drivers and indicators in the graph.

  1. ActorPtolemy
  2. contributed toFactThe Harmonics presents a mathematical music treatise as elite acoustic theory, not a popular songbook
  3. weakensDriverSocial Cohesion
  4. strengthensIndicatorHaving a say in government

Cite this page

Factrail. (2026). The Harmonics presents a mathematical music treatise as elite acoustic theory, not a popular songbook. Factrail. https://factrail.ai/facts/pto-harmonics-elite-music

https://factrail.ai/facts/pto-harmonics-elite-music

Accessed 16 October 2026.

By the Factrail desk · Method: how we source and score · Last reviewed

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