Tables 3: Measurements of banknotes

Here collected measurements of circulating banknotes of 14 major currencies across the globe. Data are based mostly on websites information of the central banks as of October 2012. Banknotes' data sum up to an average N to 1 ratio, which is used in tests for QBs.

Index

Table 3-1: Australian dollar banknotes
Table 3-2: Indonesian rupiah banknotes
Table 3-3: Indian rupee banknotes
Table 3-4: Chinese yuan banknotes
Table 3-5: South Korean won banknotes
Table 3-6: Japanese yen banknotes
Table 3-7: Russian ruble banknotes
Table 3-8: Turkish lira banknotes
Table 3-9: Euro banknotes
Table 3-10: Pound sterling banknotes
Table 3-11: Canadian dollar banknotes
Table 3-12: United States dollar banknotes
Table 3-13: Mexican peso banknotes
Table 3-14: Brazilian real banknotes
Table 3-15: N to 1 ratios of banknotes

---

Table 3-1

Australian dollar banknotes

Denom. (A$)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	130	65	-
10 20 50	137 144 151	65 65 65	- 1.05 1.10
100	158	65	-

¤ The above data are cited from Reserve Bank of Australia.
¤ N:1 ratios of 1-A$'s place and 100-A$'s place cannot be calculated due to the absence of D[N] or D[1].
¤ N:1 ratio of area is calculated as the area of D[N] divided by the area of D[1]. e.g. The areas of 20-A$ to 10-A$ is (144*65)/(137*65)=1.05.

Table 3-2

Indonesian rupiah banknotes

Denom. (Rp)	Length (mm)	Width (mm)	N:1 ratio
			Area
1,000 2,000 5,000	141 141 143	65 65 65	- 1.00 1.01
10,000 20,000 50,000	145 147 149	65 65 65	- 1.01 1.03
100,000	151	65	-

¤ The above data are cited from Bank Indonesia.

Table 3-3

Indian rupee banknotes

Denom. (Rs)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	117	63	-
10 20 50	137 147 147	63 63 73	- 1.07 1.24
100 500	157 167	73 73	- 1.06
1,000	177	73	-

¤ The above data are cited from Reserve Bank of India.

Table 3-4

Chinese yuan banknotes

Denom. (CN¥)	Length (mm)	Width (mm)	N:1 ratio
			Area
1 5	? ?	? ?	- ?
10 20 50	? ? ?	? ? ?	- ? ?
100	?	?	-

¤ The above data are cited from People's Bank of China.
¤ N:1 ratios of area are unknown due to lack of necessary information.

Table 3-5

South Korean won banknotes

Denom. (W)	Length (mm)	Width (mm)	N:1 ratio
			Area
1,000 5,000	136 142	68 68	- 1.04
10,000 50,000	148 154	68 68	- 1.04

¤ The above data are cited from Bank of Korea.

Table 3-6

Japanese yen banknotes

Denom. (¥)	Length (mm)	Width (mm)	N:1 ratio
			Area
1,000 5,000	150 156	76 76	- 1.04
10,000	160	76	-

¤ The above data are cited from Bank of Japan.

Table 3-7

Russian ruble banknotes

Denom. (P)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	137	61	-
10 50	150 150	65 65	- 1.00
100 500	150 150	65 65	- 1.00
1,000 5,000	157 157	69 69	- 1.00

¤ The above data are cited from Bank of Russia.

Table 3-8

Turkish lira banknotes

Denom. (L)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	130	64	-
10 20 50	136 142 148	64 68 68	- 1.11 1.16
100 200	154 160	72 72	- 1.04

¤ The above data are cited from Central Bank of the Republic of Turkey.

Table 3-9

Euro banknotes

Denom. (€)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	120	62	-
10 20 50	127 133 140	67 72 77	- 1.13 1.27
100 200 500	147 153 160	82 82 82	- 1.04 1.09

¤ The above data are cited from European Central Bank.

Table 3-10

Pound sterling banknotes

Denom. (£)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	135	70	-
10 20 50	142 149 156	75 80 85	- 1.12 1.25

¤ The above data are cited from Bank of England.

Table 3-11

Canadian dollar banknotes

Denom. (C$)	Length (mm)	Width (mm)	N:1 ratio
			Area
5	?	?	-
10 20 50	? ? ?	? ? ?	- ? ?
100	?	?	-

¤ The above data are cited from Bank of Canada.
¤ N:1 ratios of area are unknown due to lack of necessary information.

Table 3-12

United States dollar banknotes

Denom. ($)	Length (mm)	Width (mm)	N:1 ratio
			Area
1 2 5	? ? ?	? ? ?	- ? ?
10 20 50	? ? ?	? ? ?	- ? ?
100	?	?	-

¤ The above data are cited from US Bureau of Engraving and Printing.
¤ N:1 ratios of area are unknown due to lack of necessary information.

Table 3-13

Mexican peso banknotes

Denom. (MX$)	Length (mm)	Width (mm)	N:1 ratio
			Area
20 50	120 127	66 66	- -
100 200 500	134 141 148	66 66 66	- 1.05 1.10
1,000	155	66	-

¤ The above data are cited from Banco de Mexico.

Table 3-14

Brazilian real banknotes

Denom. (R$)	Length (mm)	Width (mm)	N:1 ratio
			Area
1 2 5	140 140 140	65 65 65	- 1.00 1.00
10 20 50	140 140 149	65 65 70	- 1.00 1.15
100	156	70	-

¤ The above data are cited from Banco Central do Brasil.

Table 3-15

N to 1 ratios of banknotes

Place	N1:1	N2:1	N:1
	Area	Area	Area
10-A$ 1,000-Rp 10,000-Rp 10-Rs 100-Rs 1-CN¥ 10-CN¥ 1,000-W 10,000-W 1,000-¥ 10-P 100-P 1,000-P 10-L 100-L 10-€ 100-€ 10-£ 10-C$ 1-$ 10-$ 100-MX$ 1-R$ 10-R$	1.05 1.00 1.01 1.07 - ? ? - - - - - - 1.11 - 1.13 1.04 1.12 ? ? ? 1.05 1.00 1.00	1.10 1.01 1.03 1.24 - ? ? - - - - - - 1.16 - 1.27 1.09 1.25 ? ? ? 1.10 1.00 1.15	1.08 1.01 1.02 1.16 1.06 ? ? 1.04 1.04 1.04 1.00 1.00 1.00 1.13 1.04 1.20 1.06 1.18 ? ? ? 1.08 1.00 1.07
Average	1.05	1.12	1.06

¤ N₁<N₂. The above currencies are all N₁=2 and N₂=5.
¤ N:1 ratio where N₁ and N₂ denominations exist is the geometric mean of N₁:1 ratio and N₂:1 ratio. e.g. The area ratio of 10-A$'s place is √(1.05*1.10)=1.08.
¤ All the average ratios are geometric means. e.g. Average N:1 ratio is ¹⁹√(1.08*1.01*...*1.07)=1.06.

---

1¤4

An Efficient Combination of the Denominations of a Currency
 Tables 1: Measurements of coins
 Tables 2: Tests in coins' places
 Tables 3: Measurements of banknotes
 Tables 4: Tests in banknotes' low places
 Tables 5: Tests in banknotes' high places
 Tables 6: Tests of C3Ds

---

© 2013 Takashi Shimazaki
Updated: April 2, 2014