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Alternative month names for use with Accounting Leap Week Calendars
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Businesses sometimes use leap week calendars for bookkeeping, but differ in the format used. These formats usually divide the year into [[:Category:Equal-quarter calendars|equal quarters of 91 days each]], but within those quarters often differ between using nearly equal months of [[:Category:31:30:30|31-30-30]], [[:Category:30:31:30|30-31-30]], or [[:Category:30:30:31|30-30-31]] days, or using whole weeks of [[:Category:5:4:4|5-4-4]], [[:Category:4:5:4|4-5-4]] or [[:Category:4:4:5|4-4-5]] weeks. Assuming an [[ISO week date|ISO weekday]] system is used, with ISO W53 being the same [[leap week]] in all cases, there are thus 6 possible formats. These formats can have the same start date for each quarter, but different month lengths for each of the 6 possible formats. These 6 possible formats can be given unique month names which thus allow all 6 of them to be used simultaneously and unambiguously. The following is an example of such a month naming scheme: {| class="wikitable" style="font-variant-numeric: tabular-nums" |+ Systematic month names |- style="font-size: x-small" !style="font-size: medium"| Week !colspan=7| 01 !!colspan=7| 02 !!colspan=7| 03 !!colspan=7| 04 !!colspan=7| 05 !!colspan=7| 06 !!colspan=7| 07 !!colspan=7| 08 !!colspan=7| 09 !!colspan=7| 10 !!colspan=7| 11 !!colspan=7| 12 !!colspan=7| 13 !!colspan=7| 14 !!colspan=7| 15 !!colspan=7| 16 !!colspan=7| 17 !!colspan=7| 18 !!colspan=7| 19 !!colspan=7| 20 !!colspan=7| 21 !!colspan=7| 22 !!colspan=7| 23 !!colspan=7| 24 !!colspan=7| 25 !!colspan=7| 26 !!colspan=7| 27 !!colspan=7| 28 !!colspan=7| 29 !!colspan=7| 30 !!colspan=7| 31 !!colspan=7| 32 !!colspan=7| 33 !!colspan=7| 34 !!colspan=7| 35 !!colspan=7| 36 !!colspan=7| 37 !!colspan=7| 38 !!colspan=7| 39 !!colspan=7| 40 !!colspan=7| 41 !!colspan=7| 42 !!colspan=7| 43 !!colspan=7| 44 !!colspan=7| 45 !!colspan=7| 46 !!colspan=7| 47 !!colspan=7| 48 !!colspan=7| 49 !!colspan=7| 50 !!colspan=7| 51 !!colspan=7| 52 |- ! [[:Category:13-month calendars|13mon]] | colspan="28" | Janoon | colspan="28" | Febroon | colspan="28" | Marchoon | colspan="28" | Aproon | colspan="28" | Mayoon | colspan="28" | Junioon | colspan="28" | Extroon | colspan="28" | Juloon | colspan="28" | Augoon | colspan="28" | Septoon | colspan="28" | Octoon | colspan="28" | Novoon | colspan="28" | Decoon |- ! [[:Category:5:4:4|5:4:4]] | colspan="35" | Janaire | colspan="28" | Febraire | colspan="28" rowspan="2" | Marchose | colspan="35" | Aprilose | colspan="28" | Mayose | colspan="28" rowspan="2" | Junal | colspan="35" | Julial | colspan="28" | Augial | colspan="28" rowspan="2" | Septidor | colspan="35" | Octidor | colspan="28" | Novidor | colspan="28" rowspan="2" | Decaire |- ! [[:Category:4:5:4|4:5:4]] | colspan="28" rowspan="2" | Janose | colspan="35" | Febrose | colspan="28" rowspan="2" | Aprial | colspan="35" | Mayal | colspan="28" rowspan="2" | Julidor | colspan="35" | Augidor | colspan="28" rowspan="2" | Octaire | colspan="35" | Novaire |- ! [[:Category:4:4:5|4:4:5]] | colspan="28" | Febrose | colspan="35" | Marchal | colspan="28" | Mayal | colspan="35" | Junidor | colspan="28" | Augidor | colspan="35" | Septaire | colspan="28" | Novaire | colspan="35" | Decose |- |- ! [[:Category:31:30:30|31:30:30]] | colspan="31" | Janum | colspan="30" | Febra | colspan="30" rowspan="2" | Marcha | colspan="31" | Aprilum | colspan="30" | Maya | colspan="30" rowspan="2" | Juna | colspan="31" | Julium | colspan="30" | Auga | colspan="30" rowspan="2" | Septa | colspan="31" | Octum | colspan="30" | Nova | colspan="30" rowspan="2" | Deca |- ! [[:Category:30:31:30|30:31:30]] | colspan="30" rowspan="2" | Janum | colspan="31" | Februm | colspan="30" rowspan="2" | Aprilum | colspan="31" | Mayum | colspan="30" rowspan="2" | Julium | colspan="31" | Augum | colspan="30" rowspan="2" | Octum | colspan="31" | Novum |- ! [[:Category:30:30:31|30:30:31]] | colspan="30" | Februm | colspan="31" | Marchum | colspan="30" | Mayum | colspan="31" | Junum | colspan="30" | Augum | colspan="31" | Septum | colspan="30" | Novum | colspan="31" | Decum |- ! [[:Category:Equal-quarter calendars|Q]] | colspan="91" | Quartose | colspan="91" | Quartial | colspan="91" | Quartidor | colspan="91" | Quartaire |} {| class="article-table" |+ First month per quarter longer ! Month || 31-30-30 || Days || Start |rowspan=13| ! Month || 5-4-4 || Days || Start |- | Janum || (Jam) || 31 || W01-1 | Janaire || (Jar) || 35 || W01-1 |- | Febra || (Fba) || 30 || W05-4 | Febraire || (Fbr) || 28 || W06-1 |- | Marcha || (Mra) || 30 || W09-6 | Marchose || (Mro) || 28 || W10-1 |- | Aprilum || (Apm) || 31 || W14-1 | Apriose || (Apo) || 35 || W14-1 |- | Maya || (Mya) || 30 || W18-4 | Mayose || (Myo) || 28 || W19-1 |- | Juna || (Jna) || 30 || W22-6 | Junal || (Jnl) || 28 || W23-1 |- | Julium || (Jlm) || 31 || W27-1 | Julial || (Jll) || 35 || W27-1 |- | Auga || (Aua) || 30 || W31-4 | Augial || (Aul) || 28 || W32-1 |- | Septa || (Spa) || 30 || W35-6 | Septidor || (Spd) || 28 || W36-1 |- | Octum || (Ocm) || 31 || W40-1 | Octidor || (Ocd) || 35 || W40-1 |- | Nova || (Nva) || 30 || W44-4 | Novidor || (Nvd) || 28 || W45-1 |- | Deca || (Dca) || 30/37 || W48-6 | Decaire || (Dcr) || 28/35 || W49-1 |} {| class="article-table" |+ Middle month per quarter longer ! Month || 30-31-30 || Days || Start |rowspan=13| ! Month || 4-5-4 || Days || Start |- | Janum || (Jam) || 30 || W01-1 | Janose || (Jao) || 28 || W01-1 |- | Februm || (Fbm) || 31 || W05-3 | Febrose || (Fbo) || 35 || W05-1 |- | Marcha || (Mra) || 30 || W09-6 | Marchose || (Mro) || 28 || W10-1 |- | Aprilum || (Apm) || 30 || W14-1 | Aprial || (Apl) || 28 || W14-1 |- | Mayum || (Mym) || 31 || W18-3 | Mayal || (Myl) || 35 || W18-1 |- | Juna || (Jna) || 30 || W22-6 | Junal || (Jnl) || 28 || W23-1 |- | Julium || (Jlm) || 30 || W27-1 | Julidor || (Jld) || 28 || W27-1 |- | Augum || (Aum) || 31 || W31-3 | Augidor || (Aud) || 35 || W31-1 |- | Septa || (Spa) || 30 || W35-6 | Septidor || (Spd) || 28 || W36-1 |- | Octum || (Ocm) || 30 || W40-1 | Octaire || (Ocr) || 28 || W40-1 |- | Novum || (Nvm) || 31 || W44-3 | Novaire || (Nvr) || 35 || W44-1 |- | Deca || (Dca) || 30/37 || W48-6 | Decaire || (Dcr) || 28/35 || W49-1 |} {| class="article-table" |+ Last month per quarter longer ! Month || 30-30-31 || Days || Start |rowspan=13| !colspan=2| Month name || 4-4-5 || Days || Start |- | Janum || (Jam) || 30 || W01-1 |colspan=2| Janose || (Jao) || 28 || W01-1 |- | Februm || (Fbm) || 30 || W05-3 | Febrose || Febral || (Fbo) || 28 || W05-1 |- | Marchum || (Mrm) || 31 || W09-5 |colspan=2| Marchal || (Mrl) || 35 || W09-1 |- | Aprilum || (Apm) || 30 || W14-1 |colspan=2| Aprial || (Apl) || 28 || W14-1 |- | Mayum || (Mym) || 30 || W18-3 | Mayal || Mayidor || (Myl) || 28 || W18-1 |- | Junum || (Jnm) || 31 || W22-5 |colspan=2| Junidor || (Jnd) || 35 || W22-1 |- | Julium || (Jlm) || 30 || W27-1 |colspan=2| Julidor || (Jld) || 28 || W27-1 |- | Augum || (Aum) || 30 || W31-3 | Augidor || Augaire || (Aud) || 28 || W31-1 |- | Septum || (Spm) || 31 || W35-5 |colspan=2| Septaire || (Spr) || 35 || W35-1 |- | Octum || (Ocm) || 30 || W40-1 |colspan=2| Octaire || (Ocr) || 28 || W40-1 |- | Novum || (Nvm) || 30 || W44-3 | Novaire || Novose|| (Nvr) || 28 || W44-1 |- | Decum || (Dcm) || 31/38 || W48-5 |colspan=2| Decose || (Dcr) || 35/42 || W48-1 |} [[Category:Walter Ziobro]] [[Category:Reformed Gregorian calendars]] [[Category:5:4:4]] [[Category:4:5:4]] [[Category:4:4:5]] [[Category:31:30:30]] [[Category:30:31:30]] [[Category:30:30:31]] [[Category:Equal-quarter calendars]]
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