[seqfan] Re: Arabic Poetry Sequences

Wed Aug 28 21:39:08 CEST 2019

 Hi Antti,
Thank you for your response. Yes, I meant the sequences at the end of the email. I put them here again in OEIS format. And yes, they are periodic. The poem can go up to hundreds of verses, and each one is with the same format.
I have no idea if there is any mathematical interest in them. As far as I know, I might be the first one to replace the "/" and the "o" with "1" and "0", respectively. This system could be used in cryptography, for example.Also, it might be interesting to compare these rhythms with rhythms from other cultures, like Farsi poetry as you mentioned. Maybe someone can check English rhythms replacing C,V, #, etc. with numbers. 
In any case, this was just a suggestion.
Best,
Ali

1.      Al-Taweel-The Long

1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0

2.      Al-Madid-The Extended

1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0

1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0

1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0

3.      Al-Baseet-Plain

1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0

1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0

1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0

4.      Al-Wafer- The Abundant

1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0

1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0

5.      Al-Kamel-The Perfect

1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0

6.      Al-Hazaj- The Lilt

1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0

1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0

7.      Al-Rajaz- The Wind Vibration

1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0

1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0

8.      Al-Raml- The Sand

1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0

9.      Al-Saree’-The Fast

1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0

10.  Al-Munsareh- TheSloping (water goes down on aslope)

1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0

1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1

11.  Al-Khafif- The Light(light weight)

1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0

12.  Al-Mudhare’- TheSimilar

1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0

1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0

13.  Al-Muqtadhab- The Brief

1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0

1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0

14.  Al-Mujtath- TheDeducted

1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0

1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0

15.  Al-Mutaqareb- TheConverged

1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0

1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0

16.  Al-Khabab- The Trot

1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0

1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0

    On Wednesday, August 28, 2019, 2:25:58 PM EDT, Antti Karttunen <antti.karttunen at gmail.com> wrote:  

 On 8/25/19, Ali Sada via SeqFan <seqfan at list.seqfan.eu> wrote:
>
> Hi Everyone,
>
>
>
> Please see below the "sequences" of classic Arabic poetry. Do you think they
> should be added to OEIS?
>

Do you mean those 0/1-sequences at the end of your mail? Should they
be finite or periodic? Is there any specific mathematical interest in
them?

>
>
> Best,
>
>
>
> Ali
>
>
> The "sequences" (called “buhour,” Arabic for “seas.”) were discovered in the
> 8th century by the great Iraqi scholar Al-Khalil ibn Ahmad Al-Farahidi, who
> was a linguist, philologist,cryptographer, lexicographer, musician, and
> grammarian.

See also https://en.wikipedia.org/wiki/Pingala (mentioned also by
Knuth in his Vol. 4A, chapter "History of Combinatorial Generation")
who investigated Sanskrit prosody.

I don't myself know much about Arabic poetry, but I like many Persian
ones, like this: https://www.youtube.com/watch?v=mNRnCVLERdU

Best regards,

Antti

>
>
>
> The bahar (sea) has one main sequence. Sometimes these sequences get
> replaced by "lighter" versions.
>
>
>
> Each Arab poem consists of few to hundreds of verses. The verse is called
> bayt, which is Arabic for house. Each bayt could be written as a string of
> “on” and “off” type of symbols. The “on” sign means “moving,”and the “off”
> sign means “static.” The original signs used by Arabic scholars are “/” and
> “o,” so it is perfectly logical to use 1 and 0 instead.
>
>
>
> There are 28 Arabic letters, 3 of them are long vowels (“ɑ” as in bath, “u”
> as in moon, and “i” as in seen.) There are also 3 harakat (plural of haraka,
> which means movement in Arabic.) These harakat are actually short vowels (“ɛ”
> as in pet, “ʊ” as in put, and “ɪ” as in pit.)
>
>
>
> The structure of the Arabic rhythms is based on these three rules:
>
>
>
> i)                  A constant sound that is not associated with any vowel
> sound is called“saken, which means static.) It is represented by a “0.” For
> example, the “t”in the word “put” is static, and in poetry it is represented
> by a “0.”
>
> ii)                  A constant sound that is associated with a short vowel
> is considered one“moving” part. For example, the sound “p” and the sound “ʊ”
> in the word “put”are considered one moving part. So, the representation of
> the single word “put”is 10.
>
> iii)                A constant sound that is associated with a long vowel is
> considered“moving,” and the long sound is considered static. So, the
> representation ofthe word “pa” is 10.
>
>
>
>
>
> Examples:
>
> Paton= moving “p,” static “y,” moving “t,”and static “n.” 1010
>
> Josephine= moving “j,” static “o,” moving“z,” moving “f,” static “ee,” and
> static “n.” 101100
>
> Wodroow Wilson eating pizza= 1010101010101010
>
>
>
> Arabic classic buhour are:
>
>
>
> 1.      Al-Taweel-The Long
>
> 1101011010101101011011011010110101011010110110
>
>
>
> 2.      Al-Madid-The Extended
>
> 101101010110101101010110101101010110101101010110
>
> 10110101011010110101011010101101011010
>
> 101101010110101011010101101010110101011010
>
>
>
>
>
> 3.      Al-Baseet-Plain
>
> 101011010110101011010110101011010110101011010110
>
> 10101101011010101101010110101101010110
>
> 1010110101101010110111010101101011010101101110
>
>
>
>
>
> 4.      Al-Wafer- The Abundant
>
> 110111011011101101011010110111011011101101011010
>
> 11011101101110110101101110110111011010
>
>
>
> 5.      Al-Kamel-The Perfect
>
> 111011011101101110110111011011101101110110
>
>
>
> 6.      Al-Hazaj- The Lilt
>
> 110101011010101101010110101011010101101010
>
> 1101010110101011010101101010
>
>
>
> 7.      Al-Rajaz- The Wind Vibration
>
> 101011010101101010110101011010101101010110
>
> 1010110101011010101101010110
>
>
>
> 8.      Al-Raml- The Sand
>
> 101101010110101011010101101010110101011010
>
>
>
>
>
> 9.      Al-Saree’-The Fast
>
> 10101101010110101101010110101011010110
>
>
>
>
>
> 10.  Al-Munsareh- TheSloping (water goes down on a slope)
>
> 10101101011011011101010110101101101110
>
> 10101101011011010110101101
>
>
>
>
>
> 11.  Al-Khafif- The Light(light weight)
>
> 101101010101101011010101101010101101011010
>
>
>
>
>
> 12.  Al-Mudhare’- TheSimilar
>
> 110101010110101101010110101010110101101010
>
> 1101010101101011010101011010
>
>
>
>
>
> 13.  Al-Muqtadhab- The Brief
>
> 101010110101101010110101010110101101010110
>
> 1010101101011010101011010110
>
>
>
> 14.  Al-Mujtath- TheDeducted
>
> 101011010110101011010101011010110101011010
>
> 1010110101101010101101011010
>
>
>
>
>
> 15.  Al-Mutaqareb- TheConverged
>
> 1101011010110101101011010110101101011010
>
> 1101011010110101101011010110101101011010
>
>
>
>
>
> 16.  Al-Khabab- The Trot
>
> 10101010101010101010101010101010
>
> 101101011010110101101011010110
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>  