| TYPE | MAXTONE | MINTONE | BOUND | I-BOUND | CONSTANT | |
| Galois connection | Extension fields | Galois subgroups | Identity subgroup | Irreducible root field | ? | |
| PYTHAGOREAN MONOCHORD | VIBRATING STRING LENGTH | TONE PITCH (FREQUENCY) | STRING LENGTH | "HIGHEST" PITCH | ? | |
| Lever | Load | Length of lever arm | Maxtone | Mintone | ? | |
| Stairway | Risers | Distance to top | Mintone | Maxtone | ? | |
| Finding sock in drawer | Number retrievals | Number remaining socks | Mintone | Maxtone | ? | |
| Finding file in cabinet | Number retrievals | Number files remaining | Mintone | Maxtone | ? | |
| Light-Equation, nl = c | Frequency | Wavelength | Frequency | Wavelength | Vacuum speed of light, c | |
| De Broglie equation, pl = h | Wavelength | Momentum | Mintone | Maxtone | Planck's h constant | |
| Planck-Einstein equation, E = hn Þ El = ch | Wavelength | Energy | Mintone | Maxtone | ch | |
| Division algorithm | Partial quotients | Partial remainders | 0 <= R < d | Total quotient | ? | |
| Wheel-&- axle | wheel radius | axle radius | either radius | other radius | ? | |
| Boyle's Law | Volume | Pressure | either | other | gas constant | |
| Charles' Law | 1/temperature | Volume | Mintone | Maxtone | gas constant | |
| Pulley | Rope strands going-in | Strands going-out | Mintone | Maxtone | ? | |
| Hydraulic press | Area going-in | Area going-out | Mintone | Maxtone | constant | |
| Limit L | Operation | L - [result] | 0 <= epsilon | Operation | ? | |
| Hooke's Law | Stress | 1/Strain | Mintone | Maxtone | ? | |
| Bernoulli's Principle | Fluid speed | Internal pressure | Maxtone | Mintone | ? | |
| Doppler Effect | Distance/Fre- quency | F/D | Distance | Frequency | ? | |
| Spectrum | Wavelength | Power | either | other | ? | |
| Bee-dance | Nectar- distance | Dancing speed | Maxtone | Mintone | ? | |
| Arith.-Geo. Mean Process | Geometric mean | Arithmetic mean | either | other | ? | |
| Archimedean circle-exhaus- tion | Inscribed polygon | Circumscribed polygon | either | other | Pi | |
| Information content | Entropy | Information measure | Mintone | Maxtone | Maximum entropy | |
| Mathematical Expectation | Event value | Event probability | Mintone | Maxtone | ? | |
| Arches | Arch height | Horizontal force | either | other | ? | |
| Mathematical modeling of reality | Tractability of models available | Reality | Maxtone | Mintone | ||
| Extension and intension of words | Intension | extension | Mintone | Maxtone | ? |