Phantom Day Ratios

Dear Calendar People

There have been on this list a few examples of a solar calendar where a year has a fixed number of ordinary days between which are occasionally  inserted a phantom day.

Here I have a table that shows the ratio of ordinary days to phantom days for various numbers of ordinary days per year (column 1) for a mean year of 365.2422 days (column 2) and a mean year of 365.2424 days (column 3). You can get the ratio of days to phantom days by adding one to the ratio of ordinary days to phantom days.

Subsequent columns have a suggested approximation of the ratio followed by the resulting mean year in days enclosed in().

365  1507.019  1505.776    1507 (365.242203)    1506 (365.242364)

364   293.028   292.981     293 (365.242321)

363   161.895   161.880     162 (365.240740)  1457/9 (365.242278)

362   111.653   111.646   335/3 (365.241791)

361    85.097    85.093   85.1  (365.242068)  936/11 (365.242521)

360    68.673    68.671   206/3 (365.242718)

Karl

10(04(12

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