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Today's Topics:
1. RE: sanskrit Digest, Vol 19, Issue 25 - The Golden Ratio and
Matra-vrittas (Sunder Hattangadi)
2. Re: hello: a question on a mantra (Payal Rathod)
3. Re: sanskrit Digest, Vol 19, Issue 24 (J. K. Mohana Rao)
4. Re: Re: sanskrit Digest, Vol 19, Issue 24 (Lakshmi Srinivas)
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Message: 1
Date: Tue, 12 Oct 2004 18:23:20 +0000
From: "Sunder Hattangadi" <[EMAIL PROTECTED]>
Subject: [Sanskrit] RE: sanskrit Digest, Vol 19, Issue 25 - The
Golden Ratio and Matra-vrittas
To: [EMAIL PROTECTED]
Message-ID: <[EMAIL PROTECTED]>
Content-Type: text/plain; format=flowed
Namaste,
While reading about the Fibonacci ratio or the Golden Number,
came across these references. Would appreciate any more information on it.
Thank you.
The Golden Number: Nature Seems to Have a Sense of Proportion ...
... of numbers actually appeared even earlier than Fibonacci, in a rule for
the construction
of meter in a category of Sanskrit poems known as matravrittas. ...
www.questia.com/PM.qst?a=o&d=5000652093 - Supplemental Result -
==================================================================
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibBio.html#fibfirst
D E Knuth adds the following in his monumental work The Art of Computer
Programming: Volume 1: Fundamental Algorithms errata to second edition:
Before Fibonacci wrote his work, the sequence Fn had already been
discussed by Indian scholars, who had long been interested in rhythmic
patterns that are formed from one-beat and two-beat notes. The number of
such rhythms having n beats altogether is Fn+1; therefore both Gospala
(before 1135) and Hemachandra (c. 1150) mentioned the numbers 1, 2, 3, 5, 8,
13, 21, ... explicitly.
Article: Knuth refers to an article by P Singh in Historia Mathematica vol
12 (1985) pages 229-244.
===========================================================
Regards,
Sunder
------------------------------
Message: 2
Date: Tue, 12 Oct 2004 15:18:26 -0400
From: Payal Rathod <[EMAIL PROTECTED]>
Subject: Re: [Sanskrit] hello: a question on a mantra
To: [EMAIL PROTECTED]
Message-ID: <[EMAIL PROTECTED]>
Content-Type: text/plain; charset=us-ascii
On Tue, Oct 12, 2004 at 10:27:03AM -0700, Vis Tekumalla wrote:
> Here is the link that has the answer to your question. I just googled. Along with
> Kartaveeryaarjuna shloka (is it really a shloka? Oh no, not again:-), there are
> other shlokas at the link that are supposed to do particular things. Some have
> audios too including the Kaartaveeryarjuna chant. Good luck!
>
> http://www.mypandit.com/mypandit/user/sloka_1.jsp
Thanks a lot. Google Rules.
Thanks,
-Payal
------------------------------
Message: 3
Date: Tue, 12 Oct 2004 17:15:12 -0400
From: "J. K. Mohana Rao" <[EMAIL PROTECTED]>
Subject: [Sanskrit] Re: sanskrit Digest, Vol 19, Issue 24
To: [EMAIL PROTECTED]
Message-ID: <[EMAIL PROTECTED]>
Content-Type: text/plain; charset=us-ascii
>
> 1. anustubh
> 2. meters having 9-10 matra's per pada
> 3. 11 matra's per pada as in indravajra, upendravajra,upajati family of meters
> 4. vamsastha (12 matra's)
I believe you mean letters, not mAtrAs. mAtra in
Cha.ndas means one for laghu and two for guru.
Also, the Vedic metres, I believe, stop at 12 letters
per line. That may be the reason why we have
examples only for these. The later ones up to
26 letters per line are used in kAvya poetry only.
> Yes, Apte's Student's Dictionary says this concerning anuShTubh -
> "There are several varieties of this metre, but that which is most in use has eight
> syllables in each quarter, but of variable quantity.
There are twenty-six Cha.ndas. anushTub^ is the eighth.
In this, 2^8 = 256 metres are possible. Any metre with eight
letters and a particular guru-laghu scheme belongs to this
Cha.ndas. anushTup^ metre, that we call shlOka, is a
generic one with the well-known definitions that have been
discussed in the forum.
Regards! - J K Mohana Rao
------------------------------
Message: 4
Date: Tue, 12 Oct 2004 18:35:29 -0700 (PDT)
From: Lakshmi Srinivas <[EMAIL PROTECTED]>
Subject: Re: [Sanskrit] Re: sanskrit Digest, Vol 19, Issue 24
To: [EMAIL PROTECTED], [EMAIL PROTECTED]
Message-ID: <[EMAIL PROTECTED]>
Content-Type: text/plain; charset="us-ascii"
Yes, of course I mistakenly wrote matra's for akshara's. I hope my query now makes
more sense to purists on this list although the intent should have been clear enough.
Lakshmi Srinivas
"J. K. Mohana Rao" <[EMAIL PROTECTED]> wrote:
>
> 1. anustubh
> 2. meters having 9-10 matra's per pada
> 3. 11 matra's per pada as in indravajra, upendravajra,upajati family of meters
> 4. vamsastha (12 matra's)
I believe you mean letters, not mAtrAs.
Yes, of course, I meant akshara's. not matra's.
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