Die Study

E2　—　From a single coin, knowing how many were struck

Ancient mints have left no production records. Yet, there is a way to tell how many were struck.

Supervised by: Mitsuru Hayama　／　Reading time (main text): About 10 min (4,791 characters of text at 500 chars/min; exercises and readings not included)　／　Beyond the text: 8 exercises · 2 coins · 4 readings

What this course teaches you to do

• Looking at two coins, be able to distinguish between "same type" and "same die".
• Read the notation of a die chart (obverse: Roman numerals, reverse: Arabic numerals) and link individual specimens by their dies.
• Calculate n/d from the number of specimens and the number of dies, and determine if the sample is usable for estimation.
• Explain the range and assumptions when estimating the mintage from the number of dies.

Lessons (8)

1. What is a die? — The tool that strikes, and the coin that is struckFlaws on a die are transferred to the coin. We count the obverse dies, which wear out more slowly.
2. Obverse and reverse are separate tools — one obverse die is paired with multiple reverse dies.The obverse lasts longer, and the reverse is replaced first. 31 obverse dies to 84 reverse dies.
3. Identifying the same die — “similar” and “identical”"Similar" refers to the type, "same" refers to the die. The determining factors are the correspondence of scratches, chips, and the position of the letters.
4. Die Chains — Connecting individual coins to reconstruct the striking sequenceShared dies link individual coins, while type numbers and re-engraving determine the sequence.
5. How many dies were used? — The observed number and the original numberThe number of dies counted is the number observed. If there are dies known from a single specimen, there must also be dies yet to be discovered.
6. Estimating the Mintage — From the Number of Dies to the Number of Coins20,000 coins per obverse die. The range is 10,000–40,000. The result of the multiplication is a lower bound, not the final answer.
7. What Can and Cannot Be Said — The Limits of Die StudiesSample construction, die recutting, confidence intervals, and circulation volume. Do not speak beyond these four boundaries.
8. The State Seen from a Single Coin — What the Number of Dies Reveals about the Scale and Timeline of MintageThe number of dies speaks to the scale and timeline of the mint. However, they must be cited with reservations.

Readings (4)

• Silver with a portrait　Italy　the 16th century　The Zecca of Rome
  Thousands of coins are struck from a single die, which is used until it wears out. The premise of Sections 1 and 6 is written from the engraver's perspective.
• The silver of the colonies　Italy　the 6th century BC　Sybaris and Metapontum
  The obverse die and the reverse die are separate tools, struck together with perfect alignment. This explains Section 2's "the obverse and reverse are separate" from the striker's perspective.
• The beauty of Syracuse　Italy　the 5th–4th centuries BC　An engraver's workshop
  An example of an artisan who carved a die engraving their name. This confirms, with a name, that the die is an "engraved tool".
• The Face of Coinage　Introduction: 2700 Years of World History　2700 Years　Whose Face Is on the Coin?
  A new die is carved and used for the next striking. Even if the design changes, the weight and fineness are confirmed—a connection to the source criticism in Section 8.

Assessment

8 exercises in this course (5 check, 0 compare, 3 written). Progress is recorded by self-assessment.