By 1910, most of the world had adopted the Gregorian calendar that we use today, although several major nations still had not (including China, Russia, Greece, Turkey, and others). An international meeting was held in London to consider the possibility of a new calendar. It was meant to solve the problem of not easily knowing what day of the week a particular date falls on. Several proposals were put forth:

Prof. Grosclaude proposed that the quarters should be composed of ninety-one days each, as this number is divisible by seven, each quarter being thus composed of thirteen weeks exactly. The two first months of each quarter would have each thirty days and the third one thirty-one. This gives us in all for the year 364 days.

Prof. Grosclaude, however, proposed to intercalate between Dec. 31 and Jan. 1 a day to be called New Year’s Day, and for leap years he would place another day between June 31 and July 1, which he would call “Leap Day.”

Concerning the subdivision of the year into smaller unities various views had been put forward, according to the manner in which the number 364 could be decomposed.

Some had proposed thirteen months of four weeks; others would have preferred fifty-two weeks without reference to months. Prof. Grosclaude proposed, as indicated, four quarters of thirteen weeks each, as he believed that the other suggestions would cause even more inconvenience than those of the old calendar, introducing a “complete disarray of our habits,” and in the former case would necessitate new names for the months and would bring many complications into commercial calculations.

I kind of like Grosclaude’s idea. But it’s weird to think of New Year’s Day and Leap Day as being distinct from days of the week. That is, you wouldn’t say Leap Day falls on a Monday, but rather that it comes between Sunday and Monday.

A PROPOSED PLAN FOR AN INVARIABLE CALENDAR: Prof. L. A. Grosclaude Offers an Interesting Suggestion to Solve the Troubles of the Present Division of Days (PDF)

From June 26, 1910