सङ्गीतरत्नाकर: प्रथम भाग (शार्ङ्गदेव - स्वरगताध्याय सविस्तार व्याख्या व अनुवाद सहित)

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214 Treatment of Svara
2. उद्दिष्ट-विधिः
स्वरान्मूलक्रमस्यान्त्यात्पूर्वं यावतिथः स्वरः ।।६६।।
उद्दिष्टान्त्यस्तावतिथे कोष्ठे ऽधो लोष्टकं क्षिपेत् ।
लोष्टचालनमन्त्यात्स्यात्त्यक्त्वा लब्धं क्रमो भवेत् ।।६७।।
लोष्टाक्रान्ताङ्कसंयोगादुद्दिष्टस्य मितिर्भवेत् ।
(2) The procedure for finding out the indicated note-series
(uddiṣṭa) : (66c-68b)
Let the pebble be placed in the column-square¹ below²
according to the number of the last note³ of the indicated
note-series⁴ obtaining backwards⁵ with reference to the last
note of its original order.⁶ The pebble movement starts
Having drafted the form of the permutation-indicator, the author
now proceeds to explain its working, laying down the procedure for
arriving at the solution of the two problems known as naṣṭa and
uddiṣṭa. He takes the latter first for the convenience of demonstration.
Uddiṣṭa literally means 'that which is indicated', and in our
context it implies the note-series indicated i. e., given; for example,
“ma ga sa ri” is a tetratonic note-series and its tonal form is given,
i. e., indicated ; but its serial number in the permutational calculus of
the tetratonic series is not given and is to be found out. That is how
the name uddiṣṭa i. e., 'indicated note-series' becomes significant. The
procedure for finding out the serial number of a given note-series is
explained hereunder with reference to the text.
Let the given note-series be “ma ga sa ri”; its original order would
be 'sa ri ga ma.” The last note of the indicated note-series in this
case is ri which is placed 3rd from the last note ma as counted back-
wards in its original order. Since this is a four-tone series, the permu-
tation-indicator would operate only for the first four columns (sa to ma).
¹1. The expression 'column square' is indicative of the vertical
order of the squares of the permutation-indicator.
2. Below the respective zero in the first series.
3. Last note as counted from left to right.
4. Uddiṣṭa is literally the note-series indicated, and what is sought
to be found out from the permutation indicator is its serial
number.
5. That is from right to left.
6. The order of the notes in the original series.

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Section 4 : Grāma, Mūrcchanā, Krama and Tāna 215
with the last note⁷ and is ordered⁸ by dropping the note
ascertained progressively. The number⁹ of the indicated
The movement of the pebbles commences with the last note i. e. , the last
square which is fourth. Ri is 3rd with reference to the last note of the
original order of the series. Therefore, the pebble of the fourth column
will now be placed in the third square below the zero which indicates
No. 12. To take the next step, the note ascertained i. e., ri is to be
dropped from the original order as well as from the indicated note-
series. So, the original order now obtained is “sa ga ma”; while the
given series is “ma ga sa.” Sa, now is second with reference to the
ma of the original order. So the second pebble, since this series is of
three notes, will now be placed in the second square of the third
column, which indicates 4. In the third step sa will drop away and the
original order obtained will be “ga ma;” while the given series would
be “ma ga.” Its ga is in the first order (i. e., next to) with reference to
the ma of the original order; therefore, the third pebble will be moved
to the first column below zero in the second column since this is a bitone
series now. This square indicates 1. In the fourth step, even ga will drop
away and what remains is the monotone-series of ma. Since in this case
the original order and the indicated note-series are identical, so there
will be no movement of the pebble and there is no square below the
first which indicates 1. Thus, the total of the squares with pebbles is
18 (12+4+1+1). So the serial number of the note-series “ma ga sa ri”
is 18th in the permutational extension of the four-tone series.
This procedure is summarised in the following chart :
Pebble-movement in the permutation-indicator for indicated tetratonic
permutational note-series.
The indicated note-series : “ma ga sa ri”

Step no.	Original order	The last note of indicated series	The No. of the last-note with reference to the original order	The place of the pebble: Col. no.	The place of the pebble: Square no.	The place of the pebble: Figure	Note dropped
1st	sa ri ga ma	ri	3rd	4	3	12	ri
2nd	sa ga ma	sa	3rd	3	2	4	sa
3rd	ga ma	ga	2nd	2	2	1	ga
4th	ma	ma	1st	1	1	1	—

(Chart 24)
7. The last note of the note-series indicated i.e , from left to right.
8. That is, in the next step the original order is restored by drop-
ping the last note of the note-series ascertained.