vigintiseptimal-latin 1.0.0

A base-27 numeral system using the 26 letters of the latin alphabet

Vigintiseptimal Latin

A base-27 numeral system using the 26 letters of the latin alphabet and the ° symbol as zero.

Symbol	°	a	b	c	d	e	f	g	h	i	j	k	l	m	n	o	p	q	r	s	t	u	v	w	x	y	z
Value	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26

Installation

pip install vigintiseptimal-latin

Usage

Python

from vigintiseptimal_latin import calc

calc("a+b")        # "c"       (1 + 2 = 3)
calc("a+b*c")      # "g"       (1 + 2*3 = 7, precedence)
calc("(a+b)*c")    # "i"       ((1+2)*3 = 9, parentheses)
calc("c^c")        # "a°"      (3^3 = 27)
calc("d/b")        # "b"       (4 / 2 = 2)
calc("g%c")        # "a"       (7 % 3 = 1)
calc("a.n+b.n")    # "d.a"     (decimals)

Conversion functions

from vigintiseptimal_latin import letters_to_number, number_to_letters

letters_to_number("abc")      # Fraction(786)    (1*27² + 2*27 + 3)
number_to_letters(786)         # "abc"
letters_to_number("a.i")      # Fraction(4, 3)   (1 + 9/27 = 4/3)

Command line

vigintiseptimal "a+b*c"
# g

Operators

Operator	Description	Example	Result
+	Addition	a+b	c
-	Subtraction	c-a	b
*	Multiplication	b*c	f
/	Division	d/b	b
%	Modulo	g%c	a
^	Power	c^c	a°
()	Parentheses	(a+b)*c	i

Precedence: ^ > *, /, % > +, -

Negative numbers are prefixed with -:

calc("a-c")    # "-b"   (1 - 3 = -2)
calc("-b+c")   # "a"    (-2 + 3 = 1)

Precision

Calculations use Python's Fraction for exact arithmetic — no floating-point errors.

Only fractions whose denominator is a power of 3 terminate in base 27 (since 27 = 3³). Non-terminating fractions are displayed truncated to 10 digits by default.

Fraction	Base 10	Base 27	Terminates?
1/3	0.333...	°.i	Yes (9/27)
1/9	0.111...	°.c	Yes (3/27)
1/2	0.5	°.mmmmmm...	No

License

MIT