Ranking

Shown below are the absolute statistical rankings of all the mints. The "Rarest" piece is often not visually rare looking or even that obvious as to why it's rare.

The absolute rarity takes into account all the traits, which can often include things like "starting angle" or "number of dots in the background." Traits where all the values are very spread out across all of the pieces.

Consider a drop with 100 pieces and 50 palettes. Because of the wide range of palettes, there will be a whole bunch of mints that are 1-of, 2-of and 3-of. But one palette isn't particularly rarer than another. But another feature of which only 4 are true, and the remaining 96 are false, is mathematically less rare than any of the palettes but is probably more desirable to a collector. But people have been asking for this, and who am I not to give the people what they want.

By rank

Rank	id	Rarity
1	8	0.000000000000010774456368%
2	194	0.000000000000012379162636%
3	184	0.000000557282413304442160%
4	114	0.000001131019142810882253%
5	77	0.000002145504538339942471%
6	154	0.000002295346511532635195%
7	198	0.000002304046587784824726%
8	9	0.000002731613674742865762%
9	49	0.000002917892122403193247%
10	6	0.000003077631640791191431%
11	71	0.000003179098233350867333%
12	55	0.000003245295709865587285%
13	95	0.000004182625651793463585%
14	20	0.000004620328277319152298%
15	182	0.000004751520937788139789%
16	1	0.000004862097759035030343%
17	136	0.000004892889439618395572%
18	116	0.000006032566777960586748%
19	98	0.000006066566178770229498%
20	67	0.000006952166302527166262%
21	151	0.000007900553749187670362%
22	150	0.000008296217693980517709%
23	126	0.000009312436995631436412%
24	2	0.000009716266724509821969%
25	177	0.000010410924871086077011%
26	78	0.000010690072082819948742%
27	171	0.000010708604461243345193%
28	181	0.000011417733074942216880%
29	39	0.000011939342486099639387%
30	134	0.000012023586581772255065%
31	14	0.000014307098076429500762%
32	54	0.000014838757568714524326%
33	13	0.000015504217565868979375%
34	108	0.000016795575042146279691%
35	191	0.000018536402514814658189%
36	57	0.000018771235224477174987%
37	157	0.000020054326259996336124%
38	117	0.000020698271455937569755%
39	137	0.000021284082927849610117%
40	187	0.000022143937111753184572%
41	70	0.000024071410888149852986%
42	131	0.000024085462370356598878%
43	149	0.000024391604308956635962%
44	125	0.000026452441353733474383%
45	120	0.000027890946933220318307%
46	41	0.000028093473825373000975%
47	192	0.000028557375260195436752%
48	43	0.000033339421764401934326%
49	44	0.000036543135607171656405%
50	75	0.000045452495081977046609%
51	36	0.000048655245487457694233%
52	79	0.000049207229615009573983%
53	196	0.000053152575885854074801%
54	7	0.000059770419592244926636%
55	121	0.000061651461095763970387%
56	140	0.000061931591857709733669%
57	156	0.000063472378320625686245%
58	76	0.000064431454954442453115%
59	141	0.000064774850252101716808%
60	63	0.000068330522624014328257%
61	10	0.000069481587099557264378%
62	88	0.000072585503031991261856%
63	124	0.000078270408317922422954%
64	29	0.000082652974176807792405%
65	110	0.000089901687137906055483%
66	179	0.000090546099758269621254%
67	23	0.000093195391268590977189%
68	80	0.000103208044931544167628%
69	102	0.000105697212048523909848%
70	139	0.000106017872149775493201%
71	72	0.000107104943227422026828%
72	47	0.000108400826043453452682%
73	38	0.000116151804927504633848%
74	42	0.000116914768786614852759%
75	165	0.000124582177865791330447%
76	170	0.000124606297711659828268%
77	12	0.000125373749644860286957%
78	168	0.000129505355285596435340%
79	85	0.000132986419069747792854%
80	173	0.000134691365158019614066%
81	112	0.000136077268837402905839%
82	99	0.000137611614363406008568%
83	105	0.000138799949452767516127%
84	135	0.000146651690202228082716%
85	164	0.000147639703438205878439%
86	90	0.000152548384332445985650%
87	28	0.000152707288899458907584%
88	5	0.000156907477804453033329%
89	186	0.000160824464974672890665%
90	123	0.000161591756744415901556%
91	106	0.000168027858940745063654%
92	189	0.000169065697646470170174%
93	64	0.000173730499746481452860%
94	166	0.000179685271668434342306%
95	190	0.000184683785916074210678%
96	119	0.000184993925048306125623%
97	167	0.000191097584283712385641%
98	174	0.000199612762950742702673%
99	152	0.000202254322154331956990%
100	159	0.000205407951222840329817%
101	161	0.000206806917436410558127%
102	122	0.000221459555157308844763%
103	3	0.000228934632028354755930%
104	86	0.000230992925992384997517%
105	144	0.000232308291914886386794%
106	172	0.000233218564624929482025%
107	35	0.000240230616505961131835%
108	30	0.000252735364953878341443%
109	16	0.000253407887539760362777%
110	93	0.000258144337660109264750%
111	133	0.000260727499261450852003%
112	188	0.000260947095552054746971%
113	197	0.000295796380998050625465%
114	56	0.000322538893873706750300%
115	87	0.000323023479280619342947%
116	50	0.000324278071151216375993%
117	83	0.000338731745650087728763%
118	142	0.000373477932593629154828%
119	59	0.000373852496528155652314%
120	52	0.000387486134915295064429%
121	146	0.000392160534603432987030%
122	145	0.000405067218864827197859%
123	195	0.000438316410343129276780%
124	66	0.000443363038867565311361%
125	4	0.000450580333754320742565%
126	84	0.000455384491759716581935%
127	147	0.000492120350085266519344%
128	158	0.000503858372071003170894%
129	60	0.000516019159025129267419%
130	103	0.000523722589662311936720%
131	34	0.000577826419067939455257%
132	111	0.000594938936692165931154%
133	26	0.000626325526475686564405%
134	176	0.000628904766804343879315%
135	69	0.000689079061213919668964%
136	22	0.000696383015604228917950%
137	92	0.000696562793708306506740%
138	107	0.000713212609702117746741%
139	45	0.000811566893123071269461%
140	25	0.000822328635008047980313%
141	15	0.000848484779027176795260%
142	178	0.000882473968371505208645%
143	185	0.000885182778217980924945%
144	163	0.000995255902213258106942%
145	74	0.001001336266141898689863%
146	94	0.001019217270894432749925%
147	127	0.001041468022653939959690%
148	129	0.001057841012628508601742%
149	48	0.001066419635589145641433%
150	128	0.001079869286621116608940%
151	61	0.001113517954091445237574%
152	24	0.001153601989286880472041%
153	81	0.001196821527371544910748%
154	62	0.001221682913605042072533%
155	130	0.001362929917804251355937%
156	91	0.001369887698998474958104%
157	175	0.001430798668273641121099%
158	58	0.001504187313705134714306%
159	132	0.001540453211096964565921%
160	162	0.001540453211096964565921%
161	68	0.001671537539335918656769%
162	101	0.001689594895892267915199%
163	0	0.001858324508624909724569%
164	97	0.002034863609555813846602%
165	31	0.002393025271803623458405%
166	193	0.002806065244310441617048%
167	143	0.002810717223372567741269%
168	199	0.002830071450619547727967%
169	153	0.002877296493142307478447%
170	104	0.003028691212123908304416%
171	82	0.003038056185452898613764%
172	33	0.003233505814704252644826%
173	160	0.003583157693997128870333%
174	11	0.003898289758694359601748%
175	18	0.004208380989499592786385%
176	115	0.004580125813639019868861%
177	183	0.004763259826732925764081%
178	100	0.005642158629037283615326%
179	19	0.006063688737558552664664%
180	51	0.007004703410876459736267%
181	109	0.007226817533541317860324%
182	155	0.007616462805985487610760%
183	32	0.007668449960003127265085%
184	17	0.008121288935735482966694%
185	27	0.008234869559321541035435%
186	21	0.009785857784780110923961%
187	138	0.011053976606973296356595%
188	53	0.012772450745070140429305%
189	169	0.013522276211696149933461%
190	148	0.013629750950372930898280%
191	118	0.018682092134580215864181%
192	40	0.019868256714553549080460%
193	46	0.020299244994250134621616%
194	113	0.025428403183178627244843%
195	180	0.029579979213085336869904%
196	73	0.034509975748599555633866%
197	65	0.039439972284113791745064%
198	89	0.039439972284113791745064%
199	37	0.043993997010797175617469%
200	96	0.053682184497821527902062%

By id

id	Rank	Rarity
0	163	0.001858324508624909724569%
1	16	0.000004862097759035030343%
2	24	0.000009716266724509821969%
3	103	0.000228934632028354755930%
4	125	0.000450580333754320742565%
5	88	0.000156907477804453033329%
6	10	0.000003077631640791191431%
7	54	0.000059770419592244926636%
8	1	0.000000000000010774456368%
9	8	0.000002731613674742865762%
10	61	0.000069481587099557264378%
11	174	0.003898289758694359601748%
12	77	0.000125373749644860286957%
13	33	0.000015504217565868979375%
14	31	0.000014307098076429500762%
15	141	0.000848484779027176795260%
16	109	0.000253407887539760362777%
17	184	0.008121288935735482966694%
18	175	0.004208380989499592786385%
19	179	0.006063688737558552664664%
20	14	0.000004620328277319152298%
21	186	0.009785857784780110923961%
22	136	0.000696383015604228917950%
23	67	0.000093195391268590977189%
24	152	0.001153601989286880472041%
25	140	0.000822328635008047980313%
26	133	0.000626325526475686564405%
27	185	0.008234869559321541035435%
28	87	0.000152707288899458907584%
29	64	0.000082652974176807792405%
30	108	0.000252735364953878341443%
31	165	0.002393025271803623458405%
32	183	0.007668449960003127265085%
33	172	0.003233505814704252644826%
34	131	0.000577826419067939455257%
35	107	0.000240230616505961131835%
36	51	0.000048655245487457694233%
37	199	0.043993997010797175617469%
38	73	0.000116151804927504633848%
39	29	0.000011939342486099639387%
40	192	0.019868256714553549080460%
41	46	0.000028093473825373000975%
42	74	0.000116914768786614852759%
43	48	0.000033339421764401934326%
44	49	0.000036543135607171656405%
45	139	0.000811566893123071269461%
46	193	0.020299244994250134621616%
47	72	0.000108400826043453452682%
48	149	0.001066419635589145641433%
49	9	0.000002917892122403193247%
50	116	0.000324278071151216375993%
51	180	0.007004703410876459736267%
52	120	0.000387486134915295064429%
53	188	0.012772450745070140429305%
54	32	0.000014838757568714524326%
55	12	0.000003245295709865587285%
56	114	0.000322538893873706750300%
57	36	0.000018771235224477174987%
58	158	0.001504187313705134714306%
59	119	0.000373852496528155652314%
60	129	0.000516019159025129267419%
61	151	0.001113517954091445237574%
62	154	0.001221682913605042072533%
63	60	0.000068330522624014328257%
64	93	0.000173730499746481452860%
65	197	0.039439972284113791745064%
66	124	0.000443363038867565311361%
67	20	0.000006952166302527166262%
68	161	0.001671537539335918656769%
69	135	0.000689079061213919668964%
70	41	0.000024071410888149852986%
71	11	0.000003179098233350867333%
72	71	0.000107104943227422026828%
73	196	0.034509975748599555633866%
74	145	0.001001336266141898689863%
75	50	0.000045452495081977046609%
76	58	0.000064431454954442453115%
77	5	0.000002145504538339942471%
78	26	0.000010690072082819948742%
79	52	0.000049207229615009573983%
80	68	0.000103208044931544167628%
81	153	0.001196821527371544910748%
82	171	0.003038056185452898613764%
83	117	0.000338731745650087728763%
84	126	0.000455384491759716581935%
85	79	0.000132986419069747792854%
86	104	0.000230992925992384997517%
87	115	0.000323023479280619342947%
88	62	0.000072585503031991261856%
89	198	0.039439972284113791745064%
90	86	0.000152548384332445985650%
91	156	0.001369887698998474958104%
92	137	0.000696562793708306506740%
93	110	0.000258144337660109264750%
94	146	0.001019217270894432749925%
95	13	0.000004182625651793463585%
96	200	0.053682184497821527902062%
97	164	0.002034863609555813846602%
98	19	0.000006066566178770229498%
99	82	0.000137611614363406008568%
100	178	0.005642158629037283615326%
101	162	0.001689594895892267915199%
102	69	0.000105697212048523909848%
103	130	0.000523722589662311936720%
104	170	0.003028691212123908304416%
105	83	0.000138799949452767516127%
106	91	0.000168027858940745063654%
107	138	0.000713212609702117746741%
108	34	0.000016795575042146279691%
109	181	0.007226817533541317860324%
110	65	0.000089901687137906055483%
111	132	0.000594938936692165931154%
112	81	0.000136077268837402905839%
113	194	0.025428403183178627244843%
114	4	0.000001131019142810882253%
115	176	0.004580125813639019868861%
116	18	0.000006032566777960586748%
117	38	0.000020698271455937569755%
118	191	0.018682092134580215864181%
119	96	0.000184993925048306125623%
120	45	0.000027890946933220318307%
121	55	0.000061651461095763970387%
122	102	0.000221459555157308844763%
123	90	0.000161591756744415901556%
124	63	0.000078270408317922422954%
125	44	0.000026452441353733474383%
126	23	0.000009312436995631436412%
127	147	0.001041468022653939959690%
128	150	0.001079869286621116608940%
129	148	0.001057841012628508601742%
130	155	0.001362929917804251355937%
131	42	0.000024085462370356598878%
132	159	0.001540453211096964565921%
133	111	0.000260727499261450852003%
134	30	0.000012023586581772255065%
135	84	0.000146651690202228082716%
136	17	0.000004892889439618395572%
137	39	0.000021284082927849610117%
138	187	0.011053976606973296356595%
139	70	0.000106017872149775493201%
140	56	0.000061931591857709733669%
141	59	0.000064774850252101716808%
142	118	0.000373477932593629154828%
143	167	0.002810717223372567741269%
144	105	0.000232308291914886386794%
145	122	0.000405067218864827197859%
146	121	0.000392160534603432987030%
147	127	0.000492120350085266519344%
148	190	0.013629750950372930898280%
149	43	0.000024391604308956635962%
150	22	0.000008296217693980517709%
151	21	0.000007900553749187670362%
152	99	0.000202254322154331956990%
153	169	0.002877296493142307478447%
154	6	0.000002295346511532635195%
155	182	0.007616462805985487610760%
156	57	0.000063472378320625686245%
157	37	0.000020054326259996336124%
158	128	0.000503858372071003170894%
159	100	0.000205407951222840329817%
160	173	0.003583157693997128870333%
161	101	0.000206806917436410558127%
162	160	0.001540453211096964565921%
163	144	0.000995255902213258106942%
164	85	0.000147639703438205878439%
165	75	0.000124582177865791330447%
166	94	0.000179685271668434342306%
167	97	0.000191097584283712385641%
168	78	0.000129505355285596435340%
169	189	0.013522276211696149933461%
170	76	0.000124606297711659828268%
171	27	0.000010708604461243345193%
172	106	0.000233218564624929482025%
173	80	0.000134691365158019614066%
174	98	0.000199612762950742702673%
175	157	0.001430798668273641121099%
176	134	0.000628904766804343879315%
177	25	0.000010410924871086077011%
178	142	0.000882473968371505208645%
179	66	0.000090546099758269621254%
180	195	0.029579979213085336869904%
181	28	0.000011417733074942216880%
182	15	0.000004751520937788139789%
183	177	0.004763259826732925764081%
184	3	0.000000557282413304442160%
185	143	0.000885182778217980924945%
186	89	0.000160824464974672890665%
187	40	0.000022143937111753184572%
188	112	0.000260947095552054746971%
189	92	0.000169065697646470170174%
190	95	0.000184683785916074210678%
191	35	0.000018536402514814658189%
192	47	0.000028557375260195436752%
193	166	0.002806065244310441617048%
194	2	0.000000000000012379162636%
195	123	0.000438316410343129276780%
196	53	0.000053152575885854074801%
197	113	0.000295796380998050625465%
198	7	0.000002304046587784824726%
199	168	0.002830071450619547727967%