| imperial minim | 1 min (imperial) | 2 min (imperial) | 3 min (imperial) | 4 min (imperial) | 5 min (imperial) | 6 min (imperial) | 7 min (imperial) | 8 min (imperial) | 9 min (imperial) | 10 min (imperial) | 11 min (imperial) | 12 min (imperial) | 13 min (imperial) | 14 min (imperial) | 15 min (imperial) | 16 min (imperial) | 17 min (imperial) | 18 min (imperial) | 19 min (imperial) | 20 min (imperial) | 21 min (imperial) | 22 min (imperial) | 23 min (imperial) | 24 min (imperial) | 25 min (imperial) | 26 min (imperial) | 27 min (imperial) | 28 min (imperial) | 29 min (imperial) | 30 min (imperial) | 31 min (imperial) | 32 min (imperial) | 33 min (imperial) | 34 min (imperial) | 35 min (imperial) | 36 min (imperial) | 37 min (imperial) | 38 min (imperial) | 39 min (imperial) | 40 min (imperial) | 41 min (imperial) | 42 min (imperial) | 43 min (imperial) | 44 min (imperial) | 45 min (imperial) | 46 min (imperial) | 47 min (imperial) | 48 min (imperial) | 49 min (imperial) | 50 min (imperial) | 51 min (imperial) | 52 min (imperial) | 53 min (imperial) | 54 min (imperial) | 55 min (imperial) | 56 min (imperial) | 57 min (imperial) | 58 min (imperial) | 59 min (imperial) | 60 min (imperial) | 61 min (imperial) | 62 min (imperial) | 63 min (imperial) | 64 min (imperial) | 65 min (imperial) | 66 min (imperial) | 67 min (imperial) | 68 min (imperial) | 69 min (imperial) | 70 min (imperial) | 71 min (imperial) | 72 min (imperial) | 73 min (imperial) | 74 min (imperial) | 75 min (imperial) | 76 min (imperial) | 77 min (imperial) | 78 min (imperial) | 79 min (imperial) | 80 min (imperial) | 81 min (imperial) | 82 min (imperial) | 83 min (imperial) | 84 min (imperial) | 85 min (imperial) | 86 min (imperial) | 87 min (imperial) | 88 min (imperial) | 89 min (imperial) | 90 min (imperial) | 91 min (imperial) | 92 min (imperial) | 93 min (imperial) | 94 min (imperial) | 95 min (imperial) | 96 min (imperial) | 97 min (imperial) | 98 min (imperial) | 99 min (imperial) | 100 min (imperial) |
| last | 2.0345052083322 × 10-8 last | 4.0690104166644 × 10-8 last | 6.1035156249966 × 10-8 last | 8.1380208333288 × 10-8 last | 1.0172526041661 × 10-7 last | 1.2207031249993 × 10-7 last | 1.4241536458325 × 10-7 last | 1.6276041666658 × 10-7 last | 1.831054687499 × 10-7 last | 2.0345052083322 × 10-7 last | 2.2379557291654 × 10-7 last | 2.4414062499986 × 10-7 last | 2.6448567708318 × 10-7 last | 2.8483072916651 × 10-7 last | 3.0517578124983 × 10-7 last | 3.2552083333315 × 10-7 last | 3.4586588541647 × 10-7 last | 3.6621093749979 × 10-7 last | 3.8655598958312 × 10-7 last | 4.0690104166644 × 10-7 last | 4.2724609374976 × 10-7 last | 4.4759114583308 × 10-7 last | 4.679361979164 × 10-7 last | 4.8828124999973 × 10-7 last | 5.0862630208305 × 10-7 last | 5.2897135416637 × 10-7 last | 5.4931640624969 × 10-7 last | 5.6966145833301 × 10-7 last | 5.9000651041633 × 10-7 last | 6.1035156249966 × 10-7 last | 6.3069661458298 × 10-7 last | 6.510416666663 × 10-7 last | 6.7138671874962 × 10-7 last | 6.9173177083294 × 10-7 last | 7.1207682291627 × 10-7 last | 7.3242187499959 × 10-7 last | 7.5276692708291 × 10-7 last | 7.7311197916623 × 10-7 last | 7.9345703124955 × 10-7 last | 8.1380208333288 × 10-7 last | 8.341471354162 × 10-7 last | 8.5449218749952 × 10-7 last | 8.7483723958284 × 10-7 last | 8.9518229166616 × 10-7 last | 9.1552734374948 × 10-7 last | 9.3587239583281 × 10-7 last | 9.5621744791613 × 10-7 last | 9.7656249999945 × 10-7 last | 9.9690755208277 × 10-7 last | 1.0172526041661 × 10-6 last | 1.0375976562494 × 10-6 last | 1.0579427083327 × 10-6 last | 1.0782877604161 × 10-6 last | 1.0986328124994 × 10-6 last | 1.1189778645827 × 10-6 last | 1.139322916666 × 10-6 last | 1.1596679687493 × 10-6 last | 1.1800130208327 × 10-6 last | 1.200358072916 × 10-6 last | 1.2207031249993 × 10-6 last | 1.2410481770826 × 10-6 last | 1.261393229166 × 10-6 last | 1.2817382812493 × 10-6 last | 1.3020833333326 × 10-6 last | 1.3224283854159 × 10-6 last | 1.3427734374992 × 10-6 last | 1.3631184895826 × 10-6 last | 1.3834635416659 × 10-6 last | 1.4038085937492 × 10-6 last | 1.4241536458325 × 10-6 last | 1.4444986979159 × 10-6 last | 1.4648437499992 × 10-6 last | 1.4851888020825 × 10-6 last | 1.5055338541658 × 10-6 last | 1.5258789062491 × 10-6 last | 1.5462239583325 × 10-6 last | 1.5665690104158 × 10-6 last | 1.5869140624991 × 10-6 last | 1.6072591145824 × 10-6 last | 1.6276041666658 × 10-6 last | 1.6479492187491 × 10-6 last | 1.6682942708324 × 10-6 last | 1.6886393229157 × 10-6 last | 1.708984374999 × 10-6 last | 1.7293294270824 × 10-6 last | 1.7496744791657 × 10-6 last | 1.770019531249 × 10-6 last | 1.7903645833323 × 10-6 last | 1.8107096354156 × 10-6 last | 1.831054687499 × 10-6 last | 1.8513997395823 × 10-6 last | 1.8717447916656 × 10-6 last | 1.8920898437489 × 10-6 last | 1.9124348958323 × 10-6 last | 1.9327799479156 × 10-6 last | 1.9531249999989 × 10-6 last | 1.9734700520822 × 10-6 last | 1.9938151041655 × 10-6 last | 2.0141601562489 × 10-6 last | 2.0345052083322 × 10-6 last |
The minim (abbreviated min, ♏, or ) is a unit of volume in both the imperial and US customary systems of measurement. Specifically it is 1⁄60 of a fluidram or 1⁄480 of a fluid ounce. In the pharmacopeoia, it is also noted that the minim was originally created by Mr. Timothy Lane, F.R.S, as 61440 parts per wine gallon.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| imperial minim | min (imperial) | ≡ 1⁄480 fl oz (imp) = 1/60 fl dr (imp) | = 59.1938802083×10−9 m3 | Imperial/US |
| imperial minims | lasts | imperial minims | lasts |
|---|---|---|---|
| 1 | = 2.0345052083322E-8 | 6 | = 1.2207031249993E-7 |
| 2 | = 4.0690104166644E-8 | 7 | = 1.4241536458325E-7 |
| 3 | = 6.1035156249966E-8 | 8 | = 1.6276041666658E-7 |
| 4 | = 8.1380208333288E-8 | 9 | = 1.831054687499E-7 |
| 5 | = 1.0172526041661E-7 | 10 | = 2.0345052083322E-7 |
The English last could also be understood as the volume occupied by the other lasts. In some sources, the last is equated with 640 gallons. The beer last was 12 barrels, the cod last and some herring lasts were also 12 barrels, and the pitch last was 12 or 14 barrels.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| last | ≡ 80 bu (imp) | = 2.9094976 m3 | Other |
| lasts | imperial minims | lasts | imperial minims |
|---|---|---|---|
| 1 | = 49152000.000028 | 6 | = 294912000.00017 |
| 2 | = 98304000.000055 | 7 | = 344064000.00019 |
| 3 | = 147456000.00008 | 8 | = 393216000.00022 |
| 4 | = 196608000.00011 | 9 | = 442368000.00025 |
| 5 | = 245760000.00014 | 10 | = 491520000.00028 |
| imperial minims | lasts |
|---|---|
| 1 | = 2.0345052083322 × 10-8 |
| 49,152,000.000028 | = 1 |
| Symbol | Definition |
|---|---|
| ≡ | exactly equal |
| ≈ | approximately equal to |
| = | equal to |
| digits | indicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …) |