IDUS is a coherent system proposed by Bill Hall. This is an acronym of the International Dozenal Unit System.
Contents
Basic Design[]
IDUS begins defining the unit of time first. IDUS divided the day into twelve unciaDays or Dours (2 hours); unciaDays into grosan triciaDays or Parvas (42; seconds); triciaDays into grosan pentciaDays or Ticks (0;42 seconds) which are the base unit of time.
The unit of length, the Geck, originally meant to be length of an average human hand span is derived from the Tick and the speed of light. The speed of light is defined as 1 octqua Geck per Tick exactly (1 ^{8}Gk Tk^{-1}) and thus, the length of a Geck is approximately 0.242 m (9½ inches) which is a little over the imperial span of 9 inches.
The unit of mass, called the Myd, which is derived from the conceptual definition "a cubic Geck of Water at its maximum density". This in turn defines the unit of density, called Spig (Specific Gravity).
The base unit for electrical units is impedance. This is unlike SI which uses current as its base unit. The unit of impedance is called the Heaviside which equals the impedance of free space (Z_{0}). Due to speed of light being set to one (by a factor of twelve), the permittivity of free space (ε_{0}) and the permeability of free space (µ_{0}) equal one (by a factor of twelve).
The unit of temperature, the Ardor, originally meant to be a dozenal version of the Rankine Scale (absolute Fahrenheit scale) but with 350; Ad equal to the melting point of water at standard IDUS pressure.
The unit of amount of substance, the Berzel, is definied as the amount of substance that contains as many elementary particles as there are atoms in 10; Md of Carbon 10;. This sets the berzelar^{[note 1]} mass constant = 1 Md / Bz compared to SI which defines the molar mass constant = 0.001 kg / mol.
Standard Conditions[]
In physical sciences, standard conditions for temperature and pressure (informally abbreviated as STP) are standard sets of conditions for experimental measurements, to allow comparisons to be made between different sets of data. The most used standards are those of the International Union of Pure and Applied Chemistry (IUPAC).
The current version of IUPAC is the following:
- Temperature is set to 273.15 K (0 ºC)
- Pressure is set to 100 kPa (1 bar, 0.9869 atm)
- Molar Concentration is set to 1 mol dm^{-3} (which is the same as 0.001 mol m^{-3})
IDUS defines its standard conditions as the following:
- Temperature is set to 350; Ad (273.15 K, 0 ºC)
- Pressure is set to 154; Bo (101110 Pa, 1.0111 bar, 0.9979 atm)
- Berzelar^{[note 1]} Concentration is set to 1 _{3}Bz Ca^{-1}
Base Units[]
Unit Name | Unit Symbol | Quantity | Conceptual Definition | Standardization Definition | SI Equivalent |
---|---|---|---|---|---|
Tick | Tk | Time | pentciaDay | 750 E58 389; periods of radiation corresponding to the transition between the two hyperfine levels of the ground state of Caesium E1; at absolute zero. | 0.347 222 230 245 s |
Geck | Gk | Length | The length of an average human hand span | The distance travelled in one octciaTick by the speed of light in a vacuum. c_{0} = 1 ^{8}Kn | 0.242 090 783 970 m |
Myd | Md | Mass | A cubic Geck of water at its maximum density | The reduce Planck constant is set to 7;E7EE20 _{29;}Md Gk^{2} Tk^{-1} | 14.188 058 358 014 kg |
Heaviside | Hs | Impedance | The impedance of free space Z_{0} = μ_{0}c_{0} = 1 | 376.730 313 461 771 Ω | |
Ardor | Ad | Temperature | The melting point of water is equal to 350; Ad | The Boltzmann constant is set to 7;442422 _{1E;}Md Gk^{2} Tk^{-2} Ad^{-1} | 0.555 182 926 766 K |
Berzel | Bz | Amount of Substance | The amount of substance that contains as many elementary particles as there are atoms in 10; Md of Carbon 10;. | 14 188.058 358 014 mol |
Derived Units[]
Unit Name | Unit Symbol | Quantity | Derivation | SI Equivalent |
---|---|---|---|---|
Sonif | Sn | Frequency | Cycles / Tk | 2.879 999 9335 Hz |
Radian | rad | Angle | Tau^{[note 2]} rad / Circle | 1 rad |
Gradus (Supplementary Unit) | ^{△} | Angle | 100;^{△} / Circle or 0;01 Tau^{[note 2]} Radians | 2.5º |
Turns (Supplementary Unit) | ^{T} | Angle | 1^{T} / Circle or Tau^{[note 2]} Radians | 360º (100;^{△}) |
Steradian | sr | Solid Angle | 2 Tau^{[note 2]} sr / Sphere | 1 sr |
- | - | Area | Gk^{2} | 0.058 607 9477 m^{2} |
Cask | Ca | Volume | Gk^{3} | 14.188 444 001 5 dm^{3} |
Spig (or Specific Gravity) | Sg | Density | Md / Gk^{3} | 999.972 819 889kg m^{-3} (Max Density of Water @ 357;20 Ad and 154; Bo) |
Kine | Kn | Velocity/Speed | Gk / Tk | 0.672 214 417 m s^{-1} |
- | - | Acceleration | Gk / Tk^{2} | 2.00 799 770 58 m s^{-2} |
Young | Yu | Energy/Work | Md Gk^{2} / Tk^{2} | 6.897 066 847 J |
Huygen | Hy | Force | Yu / Gk | 28.489 588 632 N |
Boyle | Bo | Pressure | Yu / Gk^{3} | 486.104 526 066 Pa |
Povi | Pv | Power | Yu / Tk | 19.863 552 060 W |
- | - | Momentum | Hy Tk | 9.892 218 504 N s |
Kleve | Kv | Dynamic Viscosity | Bo Tk | 168.786 297 673 Pa s |
Rhine | Rh | Kinematic Viscosity | Gk^{2} / Tk |
0.168 790 885 4 m^{2} s^{-1} 168 790.885 4 cSt (cSt = mm^{2} s^{-1}) |
Zapp | Zp | Electric Current | Pv^{0;6} / Hs^{0;6} | 0.229 621 829 6 A |
Sargo | Sa | Electric Charge | Zp / Tk | 0.079 729 803 8 C |
Devigi | Dv | Electric-motive Force / Potential Difference | Yu / Sa | 86.505 503 837 2 V |
Kapa | Kp | Electric Capacitance | Sa / Dv | 921.673 191 239 5 μF |
Nikola | Nk | Magnetic Flux Density | Dv Tk / Gk^{2} | 0.149 212 542 3 T |
- | - | Magnetic Flux | Nk Gk^{2} | 0.008 746 040 9 Wb |
Elduk | Ed | Inductance | Tk^{2} / Nk | 130.809 139 641 1 H |
Villiard | Vi | Radioactivity | Counts / Tk | 2.879 999 933 5 Bq |
Sorbi | Sb | Absorbed Dose | Yu / Md |
0.486 117 738 8 Gy |
Egal | Eg | Equivalent Dose | Yu / Md |
0.486 117 738 8 Sv |
Other Accepted Units[]
Unit Name | Unit Symbol | Quantity | Derivation | SI/Imperial Equivalent |
---|---|---|---|---|
Dalton (Atomic Mass Unit) | Da, u, amu | Mass | 0;1 x Mass of a C*10 Atom | Same |
Parva | Pr | Time | 100; Tk | ~50 s |
Dour | Dr | Time | 100; Pr or 10000; Tk | ~2 hr |
Day | Dy | Time | 10; Dr | 86 400.002 s |
Neper | Np | Relative Power Level | ln(x_{1}) - ln(x_{2}) | 8.685 889 638 dN |
Quad / Short League | Quad | Length | ^{4}Gk |
5.019 994 496 km 0.903 526 811 leagues |
Approximation to Other Units[]
Unit Name | Unit Symbol | Quantity | Derivation | SI / Imperial Equivalent |
---|---|---|---|---|
Ton | ton | Mass | 60; Md |
1021.540 202 kg 1.005 41 Long Ton |
Pound | lb | Mass | 5 _{2}Md | 1.086 087 lb |
Ounce | oz | Mass | 3;6 _{3}Md | 1.013 681 oz |
Stone | st | Mass | 5;5 _{1}Md | 1.024 025 st |
Grain | gr | Mass | 1;3 _{5}Md | 1.099 915 gr |
Kilogram | kg | Mass | X _{2}Md | 0.985 282 kg |
Gram | g | Mass | 1;6 _{4}Md | 1.026 335 g |
Foot | ft | Length | 1;3 Gk |
0.302 613 479 962 m 0.992 826 379 ft |
Inch | in | Length | 1;3 _{1}Gk | 0.992 826 in |
Yard | yd | Length | 4 Gk | 1.059 015 yd |
Thou | th | Length | 2;3 _{4}Gk | 1.034 194 th |
Furlong | fur | Length | 6 ^{2}Gk | 1.039 760 fur |
Mile | mi | Length | 4 ^{3}Gk |
1.673 331 499 km 1.039 759 mi |
Kilometre | km | Length | 2;6 ^{3}Gk | 1.045 832 167 km |
Imperial Gallon | gal | Volume | 4 _{1}Ca | 1.040 340 gal |
US Gallon | gal (US) | Volume | 3;6 _{1}Ca | 1.093 222 gal (US) |
Litre | l | Volume | X; _{2}Ca | 0.985 308 l |
Imperial Pint | pt | Volume | 6 _{2}Ca | 1.040 340 pt |
US Pint | pt (US) | Volume | 5 _{2}Ca | 1.041 164 pt (US) |
Imperial Quart | qt | Volume | 1 _{1}Ca | 1.040 340 qt |
Imperial Fluid Ounce | floz | Volume | 3;6 _{3}Ca |
0.971 953 floz |
Acre | acre | Area | 3;6 ^{4}Gk^{2} | 1.051 070 acre |
Are | a | Area | 1 ^{3}Gk^{2} | 1.012 745 a |
Hectacre | ha | Area | 8 ^{4}Gk^{2} | 0.972 236 ha |
See Also[]
Notes[]
- ↑ ^{1.0} ^{1.1} Berzelar is used instead of Molar to keep reference to the unit for amount of substance, the Berzel.
- ↑ ^{2.0} ^{2.1} ^{2.2} ^{2.3} Tau = 2 Pi ≈ 6;3494 (6.2832 decimal)