146 CE - 161 CE Gold 240,840 kg
FrequencyFrequency of specimen in distribution. ᵖ
|
Number of obversesNumber of obverse dies. ᵖ (o)
|
% (o)
|
Number of coinsNumber of coins. (n)
|
% (n)
|
Die nameName(s) of the die(s).
|
1
|
25
|
16.23
|
25
|
2.85
|
|
2
|
14
|
9.09
|
28
|
3.2
|
|
3
|
16
|
10.39
|
48
|
5.48
|
|
4
|
26
|
16.88
|
104
|
11.87
|
|
5
|
15
|
9.74
|
75
|
8.56
|
|
6
|
15
|
9.74
|
90
|
10.27
|
|
7
|
9
|
5.84
|
63
|
7.19
|
|
8
|
5
|
3.25
|
40
|
4.57
|
|
9
|
7
|
4.55
|
63
|
7.19
|
|
10
|
2
|
1.3
|
20
|
2.28
|
|
11
|
2
|
1.3
|
22
|
2.51
|
|
12
|
3
|
1.95
|
36
|
4.11
|
|
13
|
3
|
1.95
|
39
|
4.45
|
|
14
|
2
|
1.3
|
28
|
3.2
|
|
15
|
2
|
1.3
|
30
|
3.42
|
|
16
|
3
|
1.95
|
48
|
5.48
|
|
17
|
1
|
0.65
|
17
|
1.94
|
|
21
|
2
|
1.3
|
42
|
4.79
|
|
27
|
1
|
0.65
|
27
|
3.08
|
|
31
|
1
|
0.65
|
31
|
3.54
|
|
Total
|
154 of 154
|
100.01
|
876 of 876
|
99.98
|
FrequencyFrequency of specimen in distribution. ᵖ
|
Number of reverse diesNumber of reverse dies. (r)
|
% (r)
|
Number of coinsNumber of coins. (n)
|
% (n)
|
Die nameName(s) of the die(s).
|
1
|
71
|
30.47
|
71
|
8.11
|
|
2
|
32
|
13.73
|
64
|
7.31
|
|
3
|
42
|
18.03
|
126
|
14.38
|
|
4
|
20
|
8.58
|
80
|
9.13
|
|
5
|
25
|
10.73
|
125
|
14.27
|
|
6
|
13
|
5.58
|
78
|
8.9
|
|
7
|
7
|
3
|
49
|
5.59
|
|
8
|
5
|
2.15
|
40
|
4.57
|
|
9
|
4
|
1.72
|
36
|
4.11
|
|
10
|
3
|
1.29
|
30
|
3.42
|
|
11
|
1
|
0.43
|
11
|
1.26
|
|
12
|
1
|
0.43
|
12
|
1.37
|
|
13
|
1
|
0.43
|
13
|
1.48
|
|
14
|
1
|
0.43
|
14
|
1.6
|
|
15
|
4
|
1.72
|
60
|
6.85
|
|
19
|
1
|
0.43
|
19
|
2.17
|
|
24
|
1
|
0.43
|
24
|
2.74
|
|
28
|
1
|
0.43
|
28
|
3.2
|
|
Total
|
233 of 233
|
100.01
|
880 of 876
|
100.46
|
Number of obversesNumber of obverse dies. ᵖ (o)
|
154
|
Number of singletons (o1)The number of singleton coins. ᵖ
|
25
|
Number of reverse diesNumber of reverse dies. (r)
|
233
|
Number of coinsNumber of coins. (n)
|
876
|
Coins per obverse dieNumber of coins per obverse die. (n/o)
|
5.69
|
Coins per reverse dieNumber of coins per reverse die. (n/r)
|
3.76
|
Reverse per obverse ratioRatio of obverse dies divided by reverse dies. (r/o)
|
1.51
|
Percentage of singletons (o1)number of coins (n) divided by the number of singletons (o1) ᵖ
|
16.23 %
|
Original number of dies (O) (Carter 1983 formula)The estimation of the number of coins according to Carter 1983 ᵖ
|
167.25
|
Coins struck if 20,000 as average productivity per dieCoins made if the average productivity for obverses (according to Carter) is 20,000. ᵖ
|
3,345,000
|
Original number of dies (O) (Esty 2011 formula)The estimation of the number of coins according to the singleton formula in Esty 2011 ᵖ (O)
|
186.85
|
Survival rate if 20,000 as average productivity per dieSurvival rate if average productivity is 20,000. ᵖ
|
0.00026
|
Coverage (o = % of O) (Esty 1984 formula)Esty 1984 - coverage (% of O) ᵖ (o = % of O)
|
97.15%
|
Die productivity if survival rate 1/2,000Average productivity if survival rate is 1/2,000. ᵖ
|
10,475.34
|
Weight of silver (in kg) if 20,000 coins per die (O = Carter formula)Carter 1983 * Median weight * 20000 (*10 if gold or electrum) ᵖ
|
240,840 kg <br /> 240,840 kg
|
Die productivity if survival rate 1/5,000Average productivity if survival rate is 1/5,000. ᵖ
|
26,188.34
|
"Expression error: Missing operand for *." is not a number.
References
- ^ Beckmann, Martin (2012), Diva Faustina. Coinage and Cult in Rome and the Provinces, Numismatic Studies 26, New York, 170 p., 17 pl.