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

216 Treatment of Svara
note-series would be obtained by adding up the figures (of
the squares) covered by the pebbles.¹⁰ (66c-68b)
The number of the indicated series in the permutational extension of
the tetratonic permutational note-series : 12+4+1+1=18.
Thus, the formula for finding out the number of the indicated
note-series can briefly be restated as under in terms of action :
( i ) Find out the relative position of the last note of the indicated
note-series with reference to the last note of its original
order by counting from it backwards i.e., from right to
left including the last note.
( ii ) Move the pebble into the corresponding square down below
according to the result obtained in (i) i.e., as many squares
down below as the number of the last-note obtained in (i).
( iii ) The pebble should be moved from the last note of the
series.
( iv ) Having thus ascertained the numerical value of one note,
that note be dropped progressively from the original order
as well as the indicated note-series and the procedure (i) to
(iii) repeated till the first note.
( v ) Add up the figures of the column squares into which the
pebbles have been moved and the sum total will represent
the serial number of the indicated note-series in its permuta-
tional extension.
This explains the procedure of working out the problem uddiṣṭa.
Now, an example from a complete permutational note-series is taken
for a full demonstration, which is worked out as under in a tabular
form :

1. Uddiṣṭa (the problem), “ma ga sa ri dha ni pa” (i.e., the indi-
   cated note-series).
2. Original order of the series : “sa ri ga ma pa dha ni”.
3. Pebble movement of a complete permutational note-series.
4. Serial No. of the indicated note-series in the permutational
   extension of the complete series : total of column 3(c) i.e.
   (1440+0+0+12+4+1+1)=1458th.
5. This is the serial number of the particular note-series in its
   permutational calculus which is to be ascertained.
6. The total of the numbers of the squares in which the pebbles
   are placed is the required number of the given note-series.
   Section 4 : Grāma, Mūrcchanā, Krama and Tāna 217
   | Sl. No. of the steps taken | The relative position of the last note of the indicated series with reference to the last note of the original order i.e., the original-series | The pebble movement and its significance | Results obtained |
   | 1 | 2(a) The last note of the given series | 2(b) The last note of the original order | 2(c) Relative position of 2(a) with reference to (right to left) 2(b) | 3(a) No. of column (left to right) | 3(b) No. of square to which pebble is moved | 3(c) The figure indicated by the occupied square | 4(a) The note omitted from the original order | 4(b) The remaining order of notes in the original series |
   | 1 | pa | ni | 3rd | 7th | 3rd | 1440 | pa | sa ri ga ma dha ni |
   | 2 | ni | ni | 1st | 6th | no movement | 0 | ni | sa ri ga ma dha |
   | 3 | dha | dha | 1st | 5th | —do— | 0 | dha | sa ri ga ma |
   | 4 | ri | ma | 3rd | 4th | 3rd | 12 | ri | sa ga ma |
   | 5 | sa | ma | 3rd | 3rd | 3rd | 4 | sa | ga ma |
   | 6 | ga | ma | 2nd | 2nd | 2nd | 1 | ga | ma |
   | 7 | ma | ma | 1st | 1st | No movement | 1 | ma | nil |
   (Chart 25)
7. नष्टविधिः
   यैरङ्कैनिष्टसंख्या स्यान्मौलेकाङ्कसमन्वितैः ॥६८॥
   तेषु लोष्टं क्षिपेन्मूले लोष्टस्थानमितं भवेत् ।
   नष्टतानस्वरस्थानं ततो यावतिथे पदे ॥६९॥
   अधःक्रमादस्ति लोष्टः स्वरस्तावतिथो भवेत् ।
   क्रमान्तिमस्वरात्पूर्वो लब्धत्यागादि पूर्ववत् ॥७०॥