The Misalian seximal system is a system for using base six in English created by jan Misali. He suggests that base six is "objectively the best way to represent numbers".[1] The seximal system introduces several new words for multiples and powers of six.

Small multiples of six

306 (eighteen) is called "thirsy". 406 (twenty four) is called "foursy". 506 (thirty) is called "fifsy". 1006 (thirty six) is called "nif", a loanword from the Ndom language.

Smaller powers of six

10006 is called either "six nif" or "tarumba", a loanword from the Kómnzo language..

1 00006, nif squared, is called "unexian".

1 0000 00006 is called "biexian".

1 0000 0000 00006 is called "triexian".

\(6^{4*4}\) is called "quadexian".

\(6^{4*5}\) is called "pentexian".

\(6^{4*10_6}\) is called "unnilexian".

\(6^{4*11_6}\) is called "ununexian".

\(6^{4*12_6}\) is called "umbiexian".

\(6^{4*13_6}\) is called "untriexian".

\(6^{4*14_6}\) is called "unquadexian".

\(6^{4*15_6}\) is called "umpentexian".

\(6^{4*20_6}\) is called "binilexian".

Misali goes on to explain that the syllables nil, un, bi, tri, quad, and pent can be used to represent the digits of a number in base six, and that the -exian suffix means unexian to the power of that number.[2]

Larger numbers

Outside of the main seximal nomenclature is an extended system of larger numbers,[3] including larger -exian numbers (the largest named being "unnilnilnilnilexian", the unexianth -exian) and the -eciam suffix, which works similarly to -yllion. Repeated nils in an -eciam number can be replaced with the amount of nils represented in base six using a set of Germanic based digits: no, ain, twai, thri, fedru, and fimf. This can continue a few levels deeper with a set of Sanskrit based digits (shunya, eka, dvi, treya, chatur, pancha), a set of Mandarin based digits (ling, yi, er, san, si, wu), a set of Ndom based digits (mer, sas, thef, ithin, thonith, meregh), and a set of Kómnzo based digits (nibo, nabi, eda, etha, asar, tabru). The largest number defined with the -eciam suffix is unainekayisasnabiniboniboeciam, equal to \(6^{2^{6^{6^{6^{6^{6^{100_6}}}}}+1}}\).


Misalian seximal system

less than unexian: six · twelve · thirsy · foursy · fifsy · nif · tarumba
-exians: unexian · biexian · triexian · quadexian · pentexian · unnilexian · ununexian · umbiexian · untriexian · unquadexian · umpentexian · binilexian
extended -exians: biunexian · bibiexian · bitriexian · biquadexian · bipentexian · trinilexian · quadanilexian · pentanilexian · unnilnilexian · binilnilexian · trinilnilexian · quadanilnilexian · pentanilnilexian · unnilnilnilexian · unnilnilnilnilexian
-eciams: uneciam · bieciam · trieciam · quadeciam · penteciam · unnileciam · ununeciam · umbieciam · untrieciam · unquadeciam · umpenteciam · binileciam · biuneciam · bibieciam · bitrieciam · biquadeciam · bipenteciam · trinileciam · quadanileciam · pentanileciam · untwaieciam · unthrieciam · umfedrueciam · umfimfeciam · unainoeciam · unainaineciam · unaintwaieciam · unainthrieciam · unaimfedrueciam · unaimfimfeciam · untwainoeciam · unthrinoeciam · umfedrunoeciam · umfimfanoeciam · unaindvieciam · unaintreyeciam · unainchatureciam · unaimpancheciam · unainekashunyeciam · unainekayilingeciam · unainekayisasmereciam · unainekayisasnabiniboeciam · unainekayisasnabiniboniboeciam
Other systems by jan Misali: Chronary system · Misalian decadozenal system · Misalian base-naming system

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