Slide rule scales and scale IDs

Scale IDs

The reason for use scale IDs instead of "common" name is that there is no consistency between manufactureres in labelling and naming scales. Also, same name (label) may be given to two slightly different scales, and sometimes to two completely different scales. For example, sine scale, usually called S has variations in what units (degrees and minutes, defgrees and decimal fractions of a degree) it is graduated. On the other hand, square root scales are called sometimes "R", sometimes "W" and sometimes "√". "P" may denote a "pythagorean" scale with formula $\log\sqrt{1-u^2}$ on Aristo rules or it may denote top variant of "vector" scale with formula $u^2$ from Hemmi 153.

When in the layout description, scale ID may be appended with a suffix that defines scale direction. "_" denotes "standing" scale, with tickmarks below the labels. Example of such scale is "C" scale. "~" denotes "hanging" scale, which tickmarks above the labels. Example: "D" scale. If suffix is not specified, \yasre{} will try to pick one style or another, depending on situation. If you do not like the choice, specify suffix explicitly.

Graduation of scales in this emulator is chosen to represent mathematical relationship to other scales and to be legible at low screen resolution. It is not chosen to accuratley portray individual scale of any specific slide rule. Variants of essentially the same scale on different rules may have different graduations, label placements and special tick marks.

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horizontal rule one pixel wide;

analon1

dimensional analysis scale from K&E Ananlon

analon1i

dimensional analysis scale from K&E Ananlon, inverted

analon2

dimensional analysis scale from K&E Ananlon

analon2i

dimensional analysis scale from K&E Ananlon, inverted

cel1

degrees Celsius, linear

cel2

degrees Celsius, logarithmic

chem1

atomic weights of certain elements and common compounds

chem2

part 2

circ

pythgorean

cm

centimeters

deg

angular degree

far1

Fahrenheit, linear

far2

Fahrenheit, logarithmic

gtheta

gudermanian scale from Hemmi 153 system

in

inches, decimal subdivisions

inbin

inci, binary subdivisions

ISTd

Thornton differential trig scales (all 4)

kel2

Kelvin, logarithmic

l

decimal logs (linear)

ldk

logs, decimal keeper

ln

natural logs (linear)

lnotch

left notch

log1

logarithmic

log1dk

logarithmic, decimal keeper

log1dki

logarithmic inverted

log1f10

folded at √10

log1f360

folded at 360

log1fM10

folded at ln10≈2.3

log1fME

folded at log₁₀e≈0.43

log1fPI

folded at π

log1i

logarithmic, inverted

log1if10

inverted and folded at √10

log1if360

inverted and folded at 360 >

log1ifM10

inverted and folded at ln10≈2.3 >

log1ifME

inverted and folded at log₁₀e≈0.43

log1ifPI

inverted and folded at π

log2

logarithmic, half size

log2dk

logarithmic half size decimal keeper

log2dki

logarithmic half size decimal keeper, inverted

log2i

logarithmic, half size, inverted

log3

logarithmic, one third size,

log3dk

logarithmic, one third size, decimal keeper

log3dki

logarithmic, one third size, decimal keeper, inverted

log3i

logarithmic, one third size, inverted

log4

logarithmic, one quarter size

loglg0

decimal log-log

loglg00

decimal log-log, negative exponent

loglg01

loglg02

loglg03

loglg1

loglg2

loglg3

logln0

natural log-log

logln00

natural log-log, negative exponent

logln01

logln02

logln03

logln1

logln2

logln3

logloga0

natural log-log, related to half-size log

logloga00

logr21

logarithmic, double size, left part

logr22

logarithmic, double size, right part

logr31

logarithmic, triple size, part 1

logr32

logarithmic, triple size, part 2

logr33

logarithmic, triple size, part 3

logr41

logarithmic, quadruple size, part 1

logr42

logarithmic, quadruple size, part 2

logr43

logarithmic, quadruple size, part 3

logr44

logarithmic, quadruple size, part 4

mix

small logarithmic and "mixture" scale from Hemmi 269

notch

left and right notches

pctc

percent scale

pctr

negative percent

prop1

large mixture scale related to regular log

prop2

part2

prop3

part3

prop4

part4

pyth1

"vector" 1-10

pyth2

"vector" 10-14

rad

radians

rnotch

right notch

rtheta

Degree in radians for Hemmi 153

sh1

hyperbolic sine

sh2

part 2

sin0dec

small sines, decimal fractions of a degree

sin0deci

small sines, decimal fractions of a degree, inverted

sin0min

small sines, degrees and minutes

sin0mini

small sines, degrees and minutes, inverted

sin1dec

sines, decimal fractions of a degree

sin1deci

sines, decimal fractions of a degree, inverted

sin1min

sines, degrees and minutes

sin1mini

sines, degrees and minutes, inverted

sin1rad

sines, radians

sin1radi

sines, radians, inverted

sinamin

sines, degrees and minutes, half-size

tan1dec

tangents, decimal fractions of a degree

tan1deci

tangents, decimal fractions of a degree, inverted

tan1min

tangents, degrees and minutes

tan1mini

tangents, degrees and minutes, inverted

tan1rad

tangents, radians

tan1radi

tangents, radians, inverted

tan2dec

large tangents, decimal fractions of a degree

tan2deci

large tangents, decimal fractions of a degree, inverted

tan2min

large tangents, degrees and minutes

tan2mini

large tangents, degrees and minutes, inverted

tan2rad

large tangents, radians

tan2radi

large tangents, radians, inverted

tanamin

tangents, degrees and minutes, half-size

th

hyperbolic tangents

theta

angle in degrees for Hemmi 153

ttheta

tangents for Hemmi 153

x

addition

Aliases