The principal device of the Timewave Zero theory is a fractal function
(constructed using numerical values derived from the King Wen Sequence
of I Ching hexagrams) which maps time onto 'novelty'. This theory was
developed by Terence McKenna (1946-2000) from the early 1970s to the
late 1990s, and was first described by him in the book The Invisible Landscape (1974), written with his brother Dennis. This theory follows from
The Goddess Calendar
In a talk entitled "A Calendar for the Goddess" given by Terence McKenna on October 3, 1987, at Shared Visions Community Center in Berkeley (available on tape from Sound Photosynthesis) 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 year, the odd-numbered months having 30 days and the even-numbered months having 29 days, for a total of 384 days in a calendar year (this is not a solar year of 365 or 366 days as in the commonly-used calendar). Thus the average length of each month would be 384/13 = 29.538 days, which is somewhat in the neighborhood of the length of the mean lunar month, 29.531 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 his successor, the holder of the office of President, Chancellor, etc., chief executive of the modern bureaucratic patriarchal nation state). The solar deity ruled over a static ordering of time in which everything, from the seasons down, had its fixed and allotted place. A calendar in which the months are no longer fixed to the seasons might allow for a less bureaucratic way of thinking among its users.
An accurate lunar calendar, however, is not constructed as easily as one might suppose. The main property that a lunar calendar should possess is that the calendar months stay in sync with the phases of the moon over a long period of time. If we simply used a year of thirteen calendrical months alternating in lengths of 30, 29, 30, 29, etc., days then (as Terence says in The Invisible Landscape shown above) a calendar year, consisting of 384 days, would differ from thirteen mean lunar months by an average of about 0.1 days, since 13 times 29.531 days = 383.903 days. Thus after ten of these 13-month years the calendar would be out of sync with the lunar cycle by about one day, and after 70 years, when the calendar said there was full moon in the sky there would actually be a half moon.
Thus some correction to the basic scheme of alternating 30- and 29-day months is needed in order that the new moon (or the full moon) should always occur on (or at least close to) the first day of the calendrical month. In The Invisible Landscape (page 114) it is suggested that a leap day be inserted every ten 384-day years, "making every 10th year 385 days long". Actually it is necessary to remove a day rather than to add one. This would make the average length of a calendar month to be (10 * 384 - 1) / ( 10 * 13) = 29.53077 days, or 0.00018 days less than the current true length of 29.53059 days. Thus after about 5555 calendar months (1/0.00018), or about 450 solar years, this calendar would be out of sync with the lunar cycle by about one day.
While this accuracy is not too bad, it is not particularly good, and is insufficient for a calendar which is intended to remain accurate over a period of several thousand years, so a further correction is needed.
This calendar partitions the empirical sequence of days-and-nights ('days' for short, though the technical term is nychthemeron) into months, years and cycles. A nychthemeron begins at midnight local time. All months have either 29 days or 30 days, numbered '1' to '30'. Every year has exactly thirteen months, '1' to '13'.
Every cycle has exactly 470 years, numbered '1' to '470'. Cycles are numbered by the integers: ..., -2, -1, 0, 1, 2, ... (This calendar is intended mainly for use with current dates rather than for recording dates of all past events, since that can be done as now with the Common Era Calendar, a.k.a. the Gregorian Calendar, so dates with cycle numbers which are zero or negative are theoretically possible but are not intended to be used.)
Odd-numbered months have 30 days and even-numbered months have 29 days except that in a year whose number is divisible by 10 or by 235 (or by both) the 13th month has just 29 days. (Such a year is termed a short year.)
A date in this calendar is written as cycle-year-month-day, with 'MMG' appended to show that this is a date in this calendar. Thus the first day of the first month of the first year of the first cycle is 1-1-1-1 MMG, and the last day of the last month of year 101 of the second cycle is 2-101-13-30 MMG. For dates in the first cycle, the leading '1' can be dropped, so then dates are of the form year-month-day.
In a lunar calendar intended as a way of disengaging from the currently-used solar calendar it is not advisable to take over the month names used in that calendar ("January", "February", etc.), and a calendar which is "for the Goddess" does better to name the months after goddesses, such as the following (see The Thirteen Goddesses):
This calendar is related to the sequence of empirical days by identifying the date 1-1-1-1 MMG with the date 1901-08-14 CE. In other words, Athena 1 in the year 1 in the McKenna-Meyer Goddess Calendar corresponds to August 14 in the year 1901 in the Common Era Calendar. On this date a dark moon occurred at 8:27 GMT (and there also occurred the first manned, powered, controlled, heavier-than-air flight). This establishes a one-to-one correspondence between dates in the two calendars and makes possible conversion of any date in one of them to a specific date in the other.
While not part of the definition of this calendar, the present system of 7-day weeks (which has almost no relation to the lunar cycle) may be used concurrently, just as now done with the Common Era Calendar. Also a nychthemeron in this calendar may be divided into hours and minutes according to the present custom, with '00:00' denoting local midnight.
So what is the average length of a calendar month in the McKenna-Meyer Goddess Calendar? The pattern of month lengths is repeated every 470 calendar years, so the average length of a month is the number of days in 470 years divided by the number of months in 470 years.
A year whose number is not divisible by 10 or by 235 is called a normal year; otherwise it is a short year. A normal year has 384 days and a short year has 383 days. In years 1 through 470 there are 47 years divisible by 10 and there are two years divisible by 235, namely, years 235 and 470. Year 470 is divisible both by 10 and by 235, so there are 47 + 1 = 48 short years, each with 383 days. The other 422 years are normal years, each with 384 days. So the total number of days in 470 years is 48*383 + 422*384 = 180,432 days. Since the number of months in 470 years is 13*470 = 6,110, the average length of a month is 180,432/6,110 = 29.5306056 days.
This differs from the current value of the synodic month by 0.0000168 days, so (assuming no change in the value of the synodic month) it will take about 1/0.0000168 = 59,523 months (about 4,579 calendar years, or about 4813 solar years) before the calendar is out of sync with the lunar cycle by one day. Thus this is an accurate lunar calendar in the sense that months remain in sync with lunations.
As stated above, in 470 calendar years there are 6,110 months, almost exactly equal to 26 Metonic cycles (each of which consists of 235 lunations).
A period of 18 calendar years lasts on average 6910.162 days, equal to 18.919 solar years. A period of 18 calendar years plus one calendar month lasts on average 6939.69 days, which is almost exactly 19 solar years and is almost exactly one Metonic cycle.
In 470 calendar years there are exactly 180,432/7 = 25,776 7-day weeks.
Due to the irregularity of the Moon's orbit, dark moons and full moons can never occur on fixed days in a rule-based lunar calendar. For the 470 MMG calendar years in cycle 1 (August 1901 CE to August 2395 CE) a full moon always occurs on the 14th, 15th, 16th or 17th of the calendar month, and a dark moon always occurs on the 1st, 2nd, 29th or 30th of the calendar month.
To discover which goddess is associated with the month in the Goddess Calendar in which you were born go to Find Your Goddess from your birthdate.
You can print out a wall-calendar-type page for a single month at A Printable Month in the Goddess Calendar. This can be used as a planner. You could even print all 13 months for a year and bind them.
There is a Windows program which converts between Goddess Calendar dates (in any cycle, not just cycle 1) and dates in the Common Era Calendar, and also dates in four other lunar calendars — see Lunar Calendars and Eclipse Finder.
The CD-ROM contains a Windows program for Goddess Calendar date conversion. To install it, locate (in Windows Explorer) the file mmgc_setup.exe in the folder mmgc\exe. Click on the file name or the program icon to run the installation program, then follow the prompts.
http://www.fractal-timewave.com/
the "revealed" axiom that all phenomena are at root constellated by a wave form which is the hierarchical summation of its constituent parts, morphogenetic patterns related to those in DNA. ... We argue that the theory of the hyperspatial nature of superconductive bonds, and the experiment we devised to test that theory, yielded ... a modular wave-hierarchy theory of the nature of time that we have been able to construe, using a particular mathematical treatment of the I Ching, into a general theory of systems, which illuminates the nature of time and organism and provides an idea model which explains the interconnection of physical and psychological phenomena from the submolecular to the macrocosmic level. — Dennis and Terence McKenna, The Invisible Landscape, original (1975) edition, pp. 101-103
... and we have assumed the most recent such epoch to have begun in 1945. The end of World War II and the development of atomic weapons and their use in war are forms of novelty whose appearance attended the shift of epochs that created the post modern world. If our understanding is correct, then the same 67+-year cycle at, or near, the end of a 4300 year cycle will terminate around the year 2012 ... — Op.cit., p. 124
Alfred North Whitehead proposed ... that history grows toward what he called a "nexus of completion." And these nexuses of completion themselves grow together into what he called the "concrescence." A concrescence exerts a kind of attraction, which can be thought of as the temporal equivalent of gravity, except all objects in the universe are drawn toward it through time, not space. As we approach the lip of this cascade into concrescence, novelty, and completion, time seems to speed up and boundaries begin to dissolve. The more boundaries that dissolve, the closer to the concrescence we are. When we finally reach it, there will be no boundaries, only eternity as we become all space and time, alive and dead, here and there, before and after. Because this singularity can simultaneously co-exist in states that are contradictory, it is something which transcends rational apprehension. But it gives the universe meaning, because all processes can be seen to be seeking and moving in an effort to approximate, connect with, and append to this transcendental object at the end of time.— Terence McKenna, Timewave Zero and Language
The movement into the future always involves the revisioning of the past. ... History turns on a spiral, and with each turn it comes back on a new level to the initial position, from the Freemasonry of Mozart's Magic Flute to the Hermeticism of the Renaissance to the syncretism of Plutarch's Roman Empire to the New Kingdom and the reformation of Egyptian religion to the Old Kingdom and the founding of civilization. — William Irwin Thompson, The Time Falling Bodies Take To Light, pp. 208-210
The Goddess Calendar
Most "Goddess Calendars" that you can find on the web are actually just the usual Gregorian Calendar with the twelve months renamed after goddesses, so they are not really new calendars — and they are solar calendars, not lunar calendars. This page defines an accurate 13-month lunar calendar in which the months actually do coincide with the lunar cycles. It is based on a proposal for a new calendar made by Terence McKenna in 1987 but has been given its final form only recently.
Terence McKenna's Goddess Calendar
In The Invisible Landscape Terence McKenna cited a scholar who suggested that the I Ching hexagrams were connected with some early calendar system (see the 1975 edition, Chapter 8, pages 113-114). He then proceeded to speculate 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). Here are the relevant sections from pages 113 and 114 of The Invisible Landscape:
 |
In a talk entitled "A Calendar for the Goddess" given by Terence McKenna on October 3, 1987, at Shared Visions Community Center in Berkeley (available on tape from Sound Photosynthesis) 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 year, the odd-numbered months having 30 days and the even-numbered months having 29 days, for a total of 384 days in a calendar year (this is not a solar year of 365 or 366 days as in the commonly-used calendar). Thus the average length of each month would be 384/13 = 29.538 days, which is somewhat in the neighborhood of the length of the mean lunar month, 29.531 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 his successor, the holder of the office of President, Chancellor, etc., chief executive of the modern bureaucratic patriarchal nation state). The solar deity ruled over a static ordering of time in which everything, from the seasons down, had its fixed and allotted place. A calendar in which the months are no longer fixed to the seasons might allow for a less bureaucratic way of thinking among its users.
An accurate lunar calendar, however, is not constructed as easily as one might suppose. The main property that a lunar calendar should possess is that the calendar months stay in sync with the phases of the moon over a long period of time. If we simply used a year of thirteen calendrical months alternating in lengths of 30, 29, 30, 29, etc., days then (as Terence says in The Invisible Landscape shown above) a calendar year, consisting of 384 days, would differ from thirteen mean lunar months by an average of about 0.1 days, since 13 times 29.531 days = 383.903 days. Thus after ten of these 13-month years the calendar would be out of sync with the lunar cycle by about one day, and after 70 years, when the calendar said there was full moon in the sky there would actually be a half moon.
Thus some correction to the basic scheme of alternating 30- and 29-day months is needed in order that the new moon (or the full moon) should always occur on (or at least close to) the first day of the calendrical month. In The Invisible Landscape (page 114) it is suggested that a leap day be inserted every ten 384-day years, "making every 10th year 385 days long". Actually it is necessary to remove a day rather than to add one. This would make the average length of a calendar month to be (10 * 384 - 1) / ( 10 * 13) = 29.53077 days, or 0.00018 days less than the current true length of 29.53059 days. Thus after about 5555 calendar months (1/0.00018), or about 450 solar years, this calendar would be out of sync with the lunar cycle by about one day.
While this accuracy is not too bad, it is not particularly good, and is insufficient for a calendar which is intended to remain accurate over a period of several thousand years, so a further correction is needed.
The McKenna-Meyer Goddess Calendar
This calendar is named after Terence McKenna who originally proposed an early version as described above, and Peter Meyer, who (in May 2012) formulated the improved version defined here (first published 2012-06-07). It can be referred to as "the Goddess Calendar" for short.This calendar partitions the empirical sequence of days-and-nights ('days' for short, though the technical term is nychthemeron) into months, years and cycles. A nychthemeron begins at midnight local time. All months have either 29 days or 30 days, numbered '1' to '30'. Every year has exactly thirteen months, '1' to '13'.
Every cycle has exactly 470 years, numbered '1' to '470'. Cycles are numbered by the integers: ..., -2, -1, 0, 1, 2, ... (This calendar is intended mainly for use with current dates rather than for recording dates of all past events, since that can be done as now with the Common Era Calendar, a.k.a. the Gregorian Calendar, so dates with cycle numbers which are zero or negative are theoretically possible but are not intended to be used.)
Odd-numbered months have 30 days and even-numbered months have 29 days except that in a year whose number is divisible by 10 or by 235 (or by both) the 13th month has just 29 days. (Such a year is termed a short year.)
A date in this calendar is written as cycle-year-month-day, with 'MMG' appended to show that this is a date in this calendar. Thus the first day of the first month of the first year of the first cycle is 1-1-1-1 MMG, and the last day of the last month of year 101 of the second cycle is 2-101-13-30 MMG. For dates in the first cycle, the leading '1' can be dropped, so then dates are of the form year-month-day.
In a lunar calendar intended as a way of disengaging from the currently-used solar calendar it is not advisable to take over the month names used in that calendar ("January", "February", etc.), and a calendar which is "for the Goddess" does better to name the months after goddesses, such as the following (see The Thirteen Goddesses):
|
|
This calendar is related to the sequence of empirical days by identifying the date 1-1-1-1 MMG with the date 1901-08-14 CE. In other words, Athena 1 in the year 1 in the McKenna-Meyer Goddess Calendar corresponds to August 14 in the year 1901 in the Common Era Calendar. On this date a dark moon occurred at 8:27 GMT (and there also occurred the first manned, powered, controlled, heavier-than-air flight). This establishes a one-to-one correspondence between dates in the two calendars and makes possible conversion of any date in one of them to a specific date in the other.
While not part of the definition of this calendar, the present system of 7-day weeks (which has almost no relation to the lunar cycle) may be used concurrently, just as now done with the Common Era Calendar. Also a nychthemeron in this calendar may be divided into hours and minutes according to the present custom, with '00:00' denoting local midnight.
Average Length of a Month in the Goddess Calendar
This calendar is a lunar calendar whose months are intended to stay in sync with the cycles of the moon, a.k.a. lunations. A lunation runs from the time of the dark moon (the moment when the Moon, in its orbit around the Earth, is in exactly the same direction as the Sun). The time of a lunation is not constant, but varies slightly from one lunation to the next. The average time of a lunation is known as the synodic month. The present value of the synodic month is 29.530588 mean solar days.So what is the average length of a calendar month in the McKenna-Meyer Goddess Calendar? The pattern of month lengths is repeated every 470 calendar years, so the average length of a month is the number of days in 470 years divided by the number of months in 470 years.
A year whose number is not divisible by 10 or by 235 is called a normal year; otherwise it is a short year. A normal year has 384 days and a short year has 383 days. In years 1 through 470 there are 47 years divisible by 10 and there are two years divisible by 235, namely, years 235 and 470. Year 470 is divisible both by 10 and by 235, so there are 47 + 1 = 48 short years, each with 383 days. The other 422 years are normal years, each with 384 days. So the total number of days in 470 years is 48*383 + 422*384 = 180,432 days. Since the number of months in 470 years is 13*470 = 6,110, the average length of a month is 180,432/6,110 = 29.5306056 days.
This differs from the current value of the synodic month by 0.0000168 days, so (assuming no change in the value of the synodic month) it will take about 1/0.0000168 = 59,523 months (about 4,579 calendar years, or about 4813 solar years) before the calendar is out of sync with the lunar cycle by one day. Thus this is an accurate lunar calendar in the sense that months remain in sync with lunations.
Other Properties of the Goddess Calendar
The average length of a solar year (measured from the vernal equinox) is 365.2424 days. The average length of a calendar year is 180,432/470 = 383.89787 days so New Years Day in this calendar moves forward in the seasons by 18 or 19 days each year, completing a cycle in approximately 19.58 solar years.As stated above, in 470 calendar years there are 6,110 months, almost exactly equal to 26 Metonic cycles (each of which consists of 235 lunations).
A period of 18 calendar years lasts on average 6910.162 days, equal to 18.919 solar years. A period of 18 calendar years plus one calendar month lasts on average 6939.69 days, which is almost exactly 19 solar years and is almost exactly one Metonic cycle.
In 470 calendar years there are exactly 180,432/7 = 25,776 7-day weeks.
Due to the irregularity of the Moon's orbit, dark moons and full moons can never occur on fixed days in a rule-based lunar calendar. For the 470 MMG calendar years in cycle 1 (August 1901 CE to August 2395 CE) a full moon always occurs on the 14th, 15th, 16th or 17th of the calendar month, and a dark moon always occurs on the 1st, 2nd, 29th or 30th of the calendar month.
Conversion between Goddess Calendar Dates and Common Era Calendar Dates
The page The Goddess Calendar for Year ... displays all months in the Goddess Calendar for the current year and for any selected year (1 through 470 in cycle 1). It also shows the full moon date in each month. A date is a full moon date if the exact time of the full moon occurs on that day after 12:00 or on the next day before 12:00. Full moon parties are best held on a full moon date. Full moon dates depend on timezone, because the time of the exact full moon differs in different timezones. That page allows you to choose between GMT and your local timezone.To discover which goddess is associated with the month in the Goddess Calendar in which you were born go to Find Your Goddess from your birthdate.
You can print out a wall-calendar-type page for a single month at A Printable Month in the Goddess Calendar. This can be used as a planner. You could even print all 13 months for a year and bind them.
There is a Windows program which converts between Goddess Calendar dates (in any cycle, not just cycle 1) and dates in the Common Era Calendar, and also dates in four other lunar calendars — see Lunar Calendars and Eclipse Finder.
The CD-ROM contains a Windows program for Goddess Calendar date conversion. To install it, locate (in Windows Explorer) the file mmgc_setup.exe in the folder mmgc\exe. Click on the file name or the program icon to run the installation program, then follow the prompts.
http://www.fractal-timewave.com/
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