Dear Calendar People If the 31-day months were the white notes on a piano, we’d get A May A#/Bb June B July C August C#/Db September D October D#/Eb November E December F January F#/Gb February G March G#/Ab April Also I’d like to remind calendar people of the Leuconic Calendars from March (G) 2002. I came a across a set of calendars in which the year was divided into seven leucons. The new year begins at or near the June Solstice and the seven leucons are named as follows: 1: Dodiros 2: Reisunos 3: Mimyos 4: Farunos 5: Sothredos 6: Lasos 7: Tibredos A long leucon has 59 days and a short leucon has 35 days. Each year has five long leucons and two short leucons. The short leucons are as evenly
spaced as possible. There were seven varieties of this leuconic calendar. The number of days in leucons of each of these varieties is as follows: Variety Do Re Mi Fa So La Ti sequence
Lydian 59 59 59
35 59 59
35 LLLsLLs Ionian 59 59
35 59 59 59
35 LLsLLLs Myxolydian 59 59
35 59 59
35 59 LLsLLsL Dorian 59
35 59 59 59
35 59 LsLLLsL Aolian 59
35 59 59
35 59 59 LsLLsLL Phrygian
35 59 59 59
35 59 59 sLLLsLL Locrian
35 59 59
35 59 59 59 sLLsLLL In a leap year, an extra day was added to Tibredos. It was not known what the leap year rule was, but it was known that all 7 varieties celebrated
the new year on exactly the same day, so must have agreed on an (equivalent) leap year rule. So Dodiros begins on the same day in all 7 varieties. Each of the other 6 leucons begins on either of two days 24 days apart. The table below shows
the day of year each leucon begins in each variety Variety Dod Rei Mim Far Sot Las Tib Lydian 001 060 119 178 213 272 331 Ionian 001 060 119
154 213 272 331 Myxolydian 001 060 119
154 213 272 307 Dorian 001 060
095 154 213 272 307 Aolian 001 060
095 154 213 248 307 Phrygian 001
036 095 154 213 248 307 Locrian 001
036 095 154 189 248 307 At later times only two varieties survived. The Ionian variety, which became known as the Major Leuconic Calendar and the Aolian variety, which
became known as the Minor Leuconic Calendar. Karl 15(01(30 |
The musical interpretation of our perpetual calendar. http://dominorus.site50.net/seals.html You can listen to this melody. Vladimir Pakhomov From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Karl Palmen Dear Calendar People If the 31-day months were the white notes on a piano, we’d get A May A#/Bb June B July C August C#/Db September D October D#/Eb November E December F January F#/Gb February G March G#/Ab April Also I’d like to remind calendar people of the Leuconic Calendars from March (G) 2002. I came a across a set of calendars in which the year was divided into seven leucons. The new year begins at or near the June Solstice and the seven leucons are named as follows: 1: Dodiros 2: Reisunos 3: Mimyos 4: Farunos 5: Sothredos 6: Lasos 7: Tibredos A long leucon has 59 days and a short leucon has 35 days. Each year has five long leucons and two short leucons. The short leucons are as evenly spaced as possible. There were seven varieties of this leuconic calendar. The number of days in leucons of each of these varieties is as follows: Variety Do Re Mi Fa So La Ti sequence Lydian 59 59 59 35 59 59 35 LLLsLLs Ionian 59 59 35 59 59 59 35 LLsLLLs Myxolydian 59 59 35 59 59 35 59 LLsLLsL Dorian 59 35 59 59 59 35 59 LsLLLsL Aolian 59 35 59 59 35 59 59 LsLLsLL Phrygian 35 59 59 59 35 59 59 sLLLsLL Locrian 35 59 59 35 59 59 59 sLLsLLL In a leap year, an extra day was added to Tibredos. It was not known what the leap year rule was, but it was known that all 7 varieties celebrated the new year on exactly the same day, so must have agreed on an (equivalent) leap year rule. So Dodiros begins on the same day in all 7 varieties. Each of the other 6 leucons begins on either of two days 24 days apart. The table below shows the day of year each leucon begins in each variety Variety Dod Rei Mim Far Sot Las Tib Lydian 001 060 119 178 213 272 331 Ionian 001 060 119 154 213 272 331 Myxolydian 001 060 119 154 213 272 307 Dorian 001 060 095 154 213 272 307 Aolian 001 060 095 154 213 248 307 Phrygian 001 036 095 154 213 248 307 Locrian 001 036 095 154 189 248 307 At later times only two varieties survived. The Ionian variety, which became known as the Major Leuconic Calendar and the Aolian variety, which became known as the Minor Leuconic Calendar. Karl 15(01(30 |
Dear Vladimir and Calendar People The link raises some issues. I saw a table that looks a little bit like a table of Dominical letters of years over a 28-year cycle, but the letters go forward rather than backwards and the leap years have one
letter rather than two. So I went to http://dominorus.site50.net/calendar.html While reading that I found out that Vladimir asserted the existence of a Seleucid Calendar, which had 365 days in a common year and 366 days in a leap year and was adopted in 312 BC. In Wikipedia I find no such
calendar, only a Seleucid era. Also Wikipedia has no page for Leuconic calendar. This is because such a calendar never really existed. It’s something I made up to amuse musically minded calendar people. The names of the Leucons are based
on the lyrics of a song from “The Sound Of Music” and the names of seven varieties are names of 7 modes of music https://en.wikipedia.org/wiki/Mode_(music)#Modern such that the long leucon corresponds to a tone and the short leucon corresponds to a semitone. I don’t know of any leap day calendar that was used before the Julian calendar. I found that Vladimir uses a calendar who’s year begins on March 1, this gets rid of complications caused by days of the year that may occur after a leap day. He then gives letters to the days of the week: A for Friday, B for Saturday to G for Thursday. The choice of Friday for A seems to arise from the seemingly arbitrary choice of the year stating of March 1, 1997
Julian calendar as the first year of his 28-year cycle (1997 has remainder 9 when divided by 28).
I then go back to the first link, which is really part 2. I see something about the 4 columns of the table of 28-year table forming an error, detecting code. He changes the letters A to F to numbers 1 to 6 and G to 0. The table of the days of week each March 1 occurs starting from 1997 in Julian calendar is then 1 2 3 5 6 0 1 3 4 5 6 1 2 3 4 6 0 1 2 4 5 6 0 2 3 4 5 0 He then arranges this into dominoes by placing two dominoes along each row [1 2][3 5] [6 0][1 3] [4 5][6 1] [2 3][4 6] [0 1][2 4] [5 6][0 2] [3 4][5 0] He then observes that the dominoes in the first column have their numbers differ by 1 or 6 and all such dominoes are included and the dominoes in the second column have their numbers differ by 2 or 5 and all
such dominoes are included. I observe that this relies on the 28-year cycle starting in a year after a leap year. If it started in a leap year or 2 years after a leap year, every domino would have their numbers differ by 1 or 6 and each
of these dominoes would appear once in each column. Even with the 28-year cycle starting on a year after a leap year or any odd-numbered year, only 14 of the 28 dominoes are used and so Vladimir extends it to use all 28 of the dominoes. So that (1) each number occurs in each column once (so total 21),
(2) each row has the same total (which must be 24),
(3) each column of dominoes has the dominoes whose numbers differ by the same amount or 7 minus that amount Vladimir found the following solution: [1 2][3 5][3 3][2 5] [6 0][1 3][5 5][4 0] [4 5][6 1][1 1][5 1] [2 3][4 6][0 0][3 6] [0 1][2 4][6 6][1 4] [5 6][0 2][4 4][0 3] [3 4][5 0][2 2][6 2] Vladimir claims without any presenting any evidence that numbers in the right half represent a lunar calendar. The right half is quite irregular compared to the left half. Is this solution unique? Then comes the musical calendar. The music is come from Vladimir’s solution. I’ll listen to it during the weekend. The first 4 notes of each row are the same, except for the key and octave. The remaining 4 notes
vary more. Karl 15(02(01 From: East Carolina University Calendar discussion List [mailto:[hidden email]]
On Behalf Of Vladimir Pakhomov The musical interpretation of our perpetual calendar. http://dominorus.site50.net/seals.html You can listen to this melody. Vladimir Pakhomov From: East Carolina University Calendar discussion List [[hidden email]]
On Behalf Of Karl Palmen Dear Calendar People If the 31-day months were the white notes on a piano, we’d get A May A#/Bb June B July C August C#/Db September D October D#/Eb November E December F January F#/Gb February G March G#/Ab April Also I’d like to remind calendar people of the Leuconic Calendars from March (G) 2002. I came a across a set of calendars in which the year was divided into seven leucons. The new year begins at or near the June Solstice and the seven leucons are named as follows: 1: Dodiros 2: Reisunos 3: Mimyos 4: Farunos 5: Sothredos 6: Lasos 7: Tibredos A long leucon has 59 days and a short leucon has 35 days. Each year has five long leucons and two short leucons. The short leucons are as evenly
spaced as possible. There were seven varieties of this leuconic calendar. The number of days in leucons of each of these varieties is as follows: Variety Do Re Mi Fa So La Ti sequence
Lydian 59 59 59
35 59 59
35 LLLsLLs Ionian 59 59
35 59 59 59
35 LLsLLLs Myxolydian 59 59
35 59 59
35 59 LLsLLsL Dorian 59
35 59 59 59
35 59 LsLLLsL Aolian 59
35 59 59
35 59 59 LsLLsLL Phrygian
35 59 59 59
35 59 59 sLLLsLL Locrian
35 59 59
35 59 59 59 sLLsLLL In a leap year, an extra day was added to Tibredos. It was not known what the leap year rule was, but it was known that all 7 varieties celebrated
the new year on exactly the same day, so must have agreed on an (equivalent) leap year rule. So Dodiros begins on the same day in all 7 varieties. Each of the other 6 leucons begins on either of two days 24 days apart. The table below shows
the day of year each leucon begins in each variety Variety Dod Rei Mim Far Sot Las Tib Lydian 001 060 119 178 213 272 331 Ionian 001 060 119
154 213 272 331 Myxolydian 001 060 119
154 213 272 307 Dorian 001 060
095 154 213 272 307 Aolian 001 060
095 154 213 248 307 Phrygian 001
036 095 154 213 248 307 Locrian 001
036 095 154 189 248 307 At later times only two varieties survived. The Ionian variety, which became known as the Major Leuconic Calendar and the Aolian variety, which
became known as the Minor Leuconic Calendar. Karl 15(01(30 |
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