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

192 Treatment of Svara
Again each of the mūrcchanā-series has been spoken of as having one
hundred and twenty permutational pentatonic note-series. We have
forty mūrcchanā-series for pentatonics, and multiplied by one hundred
and twenty, the total number of the permutational pentatonic note-
series comes to four thousand eight hundred including the original
mūrcchanā-series.
8. चतुःस्वरकूटतान-सङ्ख्या
चतुःस्वरेषु न्याद्यौ द्वौ चतुर्धा द्वादशापरे ॥४५॥
क्रमा द्विधेति द्वात्रिंशच्चतुर्विंशतिताडिता ।
शतानि सप्ताष्टषष्ट्या स्याच्चतुःस्वरसंमितिः ॥४६॥
(8) The enumeration of the tetratonics : 45c-46
Among the tetratonics¹, the two commencing with ni
are fourfold, while the other twelve (original) series are two-
fold; these thirty-two² when multiplied by twenty-four³ make
a sum-total of seven hundred and sixty-eight.⁴ (45c-46)
Of the fourteen mūrcchanā-s of the two grāma-s when the tetratonics
or the series of four notes are derived, two of them that begin with ni
(i. e. from the second of the ṣaḍja-grāma, rajanī) and the fifth of the
madhyama-grāma mārgi), include ga as well, and therefore have four
varieties. The other twelve drop either ni or ga and hence have only
two types. So among the tetratonics we have (2 × 4 = 8) + (12 × 2 = 24) =
8 + 24 = 32 (thirty-two) original series.
Twenty-four permutational note-series of the tetratonics have been
enumerated for each of the original series (vide verse 38 ante). So,
thirty-two multiplied by twenty-four yields seven hundred and sixty-
eight tetratonic series.

1. 'Tetratonic' is an abbreviated expression for the permutatio-
   nal note-series of four notes.
2. That is, eight obtained from the two mūrcchanā-s beginning
   with ni and twenty-four from the remaining twelve mūrcchanās,
   having two varieties each.
3. The number of permutational note-series of four tones in each
   combination or original series.
4. That is, permutational tetratonic note-series, formed out of
   32 tetratonic combinations or original series. This number
   also includes the original series (mūla-krama-s).
   SECTION 1 : SVARA
5. त्रिस्वरकूटतान-सङ्ख्या
   त्रिस्वरेषु तु माद्यौ द्वावभेदौ द्वादशापरे ।
   द्विधा षड्विंशतिरिति क्रमास्ते षड्भिराहताः ॥४७॥
   षट्पञ्चाशच्छतं च स्युः,
   (9) The enumeration of the tritones : 47-48a
   But among the tritones¹, the two commencing with ma
   have no variations, while the remaining twelve are twofold :
   thus, these twenty-six (original) series when multiplied by six
   make one hundred and fifty-six² in all. (47-48a)
   When the tritone permutational note-series are formed from the
   fourteen mūrcchanā-s, the last four notes are dropped in each case. In
   this process the two mūrcchanā-s of the two grāma-s beginning with ma,
   i. e., the fifth (matsarīkṛtā) of the ṣaḍja-grāma and the first (sauvīrī) of the
   madhyama-grāma, when deprived of their last four notes, drop out both
   ni and ga, and thus can have no varieties. The other twelve series have
   two varieties each, for they would retain either ni or ga. That is how
   the original series for three tones are counted as twenty-six : 2 + (12 × 2 =

24. = 26.
    Again, each of the original series has six tritone permutational
    note-series (cf. verse 38 ante). Thus, the total number of the tritone
    permutational note-series comes to one hundred and fifty-six (i. e.
    26 × 6 = 156).

10. द्विस्वरैकस्वर-कूटतान-सङ्ख्या
    , द्विस्वरेषु पुनर्द्विधा ।
    रिगधन्यादयो ऽष्टौ स्युः शुद्धास्तदितरे क्रमाः ॥४८॥
    (10) The enumeration of the bitones and the monotones :
    48b-49
    Again among the bitones¹, the (original) series com-
    mencing with ri, ga, dha and ni being twofold are eight, while

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1. That is, the permutational note-series of three notes.
2. That is, permutational tritonic note-series, formed out of 26
   tritonic combinations or original series. This number also
   includes the original series (mūla-krama-s).
3. 'Bi-tone' represents the permutational note-series of two notes.
   13