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TGM is a coherent and gravitational system of measurement proposed by Tom Pendlebury.  It is a complete system, with units for all physical quantities, which focuses on four main traits:

1.)  A one-to-one correspondence between all basic units, wherever this is possible.  It achieves this, breaking 1:1 correspondence only in the shift to electrical units and light units, which is really necessary to obtain usable unit sizes.

2.)  Links to accessible physical realities (the length of the day, mean gravitational acceleration, and so forth), while still maintaining the precision of formal definitions according to physical constants.

3.)  Consistently Base 12 in all respects.

4.) All units can be consistently derived from the base unit.

The name is an abbreviation for Tim-Grafut-Maz, its units of time, length, and mass.

Design Edit

Measurement systems tend to begin with the unit of length. TGM begins instead with the unit of time. Adopting our current Base 12 division of the day, TGM divides the hour into twelve units of five minutes, or 1/12 hour (unciaHours); unciaHours into twelve units of 5/12 minutes (25 seconds), or 1/122 hour (biciaHours); biciaHours into twelve units of 25/12 seconds, or 1/123 hour (triciaHours); and finally triciaHours into twelve units of 25/122 seconds, or 1/124 hour (quadciaHours). These quadciaHours produce the best final system of measurement, so they are the unit of time.

This unit of time is called the Tim; and all of TGM flows, directly or indirectly, from it.

The unit of length, for example, the Grafut, is easily derived from the Tim. Taking the Tim as the unit of time, mean Earth gravity accelerates an object by a certain velocity per Tim. That velocity is itself a certain distance per Tim. That distance is the unit of length, called the Gravity Foot, or Grafut.

The unit of volume is the cubic Grafut; this is used frequently enough that it is given its own name, the Volm.

All other units can be derived consistently in the same way.

Units Edit

Base Units Edit

Unit Name Unit Symbol Quantity Conceptual Definition Standardization Definition SI Equivalent
Tim Tm Time 1/124 hour 1 595 943 015 periods of radiation corresponding to the transition between the two hyperfine levels of the ground state of Cesium 133 0.173 611 111 043 121 88 s
Gee G Acceleration Acceleration due to gravity at Earth's surface Polar diameter of Earth = 42998169.6 gf. Speed of light = 176 024 043 Vl exactly. 9.810 049 407 604 21 m/s2
Denz Dz Density Density of water under a pressure of one standard atmosphere, and temperature of maximal density (3.98°C) 999.972 kg/m3
Calg Cg Temperature Temperature increase when 1 Wg of heat is applied to 1 Mz of water Exactly 1/1440 kelvin. Triple point of water is exactly (dec) 393 350.4 Cg. 0.000 694 444... K
Kur Kr Electric Current The amount of current that, if maintained in two parallel conductors placed 1 Gf apart, produces a force between them equal to 1/129 Mg for each Grafut of length. 0.495 722 068 629 349 2 A
Molz Mlz Amount of Substance The amount of substance that contains as many elementary particles as there are atoms in 12 Mz of Carbon 12. 25 850.355 623 275 307 mol

Derived Units Edit

Unit Name Unit Symbol Quantity Derivation SI Equivalent
Vlos Vl Velocity or Speed G × Tm 1.703 133 577 042 086 3 m/s
Grafut Gf Length G × Tm2 0.295 682 912 565 123 m
Surf Sf Area Gf2 0.087 428 384 782 994 18 m2
Volm Vm Volume Gf3 0.025 851 079 453 500 004 m3
Maz Mz Mass Vm × Dz 25.850 355 623 275 306 kg
Mag Mg Force Mz × G 253.593 265 868 470 04 N
Prem Pm Pressure or Stress Mg / Sf 2 900.582 762 656 697 5 Pa
Werg Wg Work or Energy Mg × Gf 74.983 195 458 890 82 J
Pov Pv Power Wg / Tm 431.903 206 012 352 2 W
Penz Pz Power Density Pv / Sf 4 940.079 896 070 119 W/m2
Pel Pl Electric Potential Pv / Kr 871.260 799 840 012 2 V
Og Og Electric Resistance Pl / Kr 1 757.559 033 530 647 2 Ω
Quel Ql Electric Charge Kr × Tm 0.086 062 859 103 336 03 C
Kap Kp Electric Capacitance Ql / Pl 98.779 675 522 116 42 µF
Kurn Kn Magneto-Motive Force Kr × Turn 0.495 722 068 629 349 2 ampere-turn (AT)
Magra Mgr Magnetic Field Strength Kn / Gf 1.676 532 689 457 218 1 AT/m
Flum Fm Magnetic Flux Wg / Kr 151.260 555 468 543 54 Wb
Flenz Fz Magnetic Flux Density Fm / Sf 1 730.108 086 109 414 7 T
Meab Mb Permeability Fz / Mgr 1 031.956 070 400 000 3 N/A2
Gen Gn Inductance Pl × Tm / Kr 305.131 776 535 131 17 H
Quenz Qz Electric Flux Density Ql / Sf 0.984 381 208 882 589 7 C/m2
Elgra Egr Electric Field Strength Pl / Gf 2 946.605 173 364 965 V/m
Mit Mt Permittivity Qz / Egr 0.000 334 072 992 805 631 2 F/m
Molv Mlv "Molvity" (Molarity) Mlz / Vm 999 972 mol/m3
Molm Mlm "Molmity" (Molality) Mlz / Mz 1000 mol / kg (exactly)

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