In The Invisible Landscape Terence McKenna suggested that the neolithic Chinese used a lunar calendar in which a year of 384 days consisted of 13 lunar months (alternating in length between 29 days and 30 days). In a talk entitled "A Calendar for the Goddess" he put forward a proposal for a new calendar similar to the one allegedly used by the neolithic Chinese. In this calendar there are thirteen months in a calendar year, with a total of 384 days. The names of the months, he suggested, could be the same as in the present Gregorian calendar except that there would be an extra month called "Remember" between August and September (so as to remind us to remember the Goddess).
One of the virtues of this calendar, according to its author, would be that it would help to free us from "solar paternalism", subservience to the myth of the solar deity (originally the Roman Emperor, now the chief executive of the modern bureaucratic patriarchal nation state), who rules over a static ordering of time in which everything, from the seasons down, has its fixed and allotted place. A calendar in which years are not seasonal years might, he thought, promote a less bureaucratic mentality.
For further details see The Goddess Calendar, where it is shown that some modifications are needed to the calendar suggested by Terence Mckenna in order to make it into an accurate long-term lunar calendar.