A technique of Chandas transformation is the circular permutation, which is used in the ShoDashin soma pouring. Here offerings of soma are made to indra with 5 specialized anuShTubh mantras called indra juShasva. They are derived from R^iks originally in the atharva veda in the rare and peculiar svarAj meter (shaunaka AV 2.5.1-3). The svarAj has a total of 34 syllables in a mantra. The total of 5 svarAj mantras are derived by repeating the first R^ik 3 time, as is typical of a shastra recitation. Thus we get 34*5=170 syllables.
1) indra juShasva pra vahA yAhi shUra haribhyAM / pibA sutasya mater iha madhosh chakAnash chArur madAya //
15:19 (*3 times)
2) indra jaTaraM navyo na pR^iNasva madhor divo na / asya sutasya s[u]varN[a][u]opa tvA madAH suvAcho aguH //
16:18
3) indras turAShAN mitro vR^itraM yo jaghAna yatir na / bibheda valaM bhR^igur na sasahe shatrUn made somasya //
16:18
From these 5*32=160 syllables are taken to make 5 anuShTubhs
It is done in the following manner: the svarAjs of 34 syllables are
split up as below
32+2
30+4
28+6
26+8
24+10
then the following combinations are made: to make the new anuShTubh
mantras:
32 : 2+30 : 4 +28 : 6+26 : 8+24 : —>10
That residue of 10 syllables is then used up as preceeding chant in the second part of the ShoDashi pouring.
The recombination of gAyatri and pankti is described in the aitareya brAhmaNa 4.1.3 as a part of the chant in the part 2 of the ShoDashin rite, generally performed before the atirAtra. The first part contains the indra juShasva permutation (the svarAj mantras of chyavAno bhArgava) that I described earlier. The below technique is the celebrated viharaNaM or the intertwining of meters.
The gayatri of medhAtithi KANva RV 1.16.1 :
A tvA vahantu harayo . vR^iShaNaM somapItaye . / indra tvA sUracakShasaH . //
24= 3*8 as 8+8 / 8 // (padas marked as .) mantra=1
The pankti of gotamo rAhUgaNa 1.84.10 :
svAdor itthA viShUvato . madhvaH pibanti gauryaH . /
yA indreNa sayAvarIr . vR^iShNA madanti shobhase . vasvIr anu svarAjyam . //
40=5*8 as 8+8 / 8+8+8 // (padas marked as .) mantra=2
pankti+gayatri=64=2*32= 2*anuShTubh as 2* ( 8+8 / 8+8 //)
simple vyuDha generation of 2 anuShTubhs from above:
A tvA vahantu harayas (1) . svAdor itthA viSUvataH (2) . /
vR^iShaNaM somapItaye (1) . madhvaH pibanti gauryO3 (2) . //
(new anuShTubh 1)
indra tvA sUracakShaso (1) . yA indreNa sayAvarIr (2) . /
vR^iShNA madanti shobhase . vasvIr anu svarAjyO3 . (2) //
(new anuShTubh 2)
Note the endings of the new verses in the shastra:
gauryO3 ; svarAjyO3 are sung out with an “ooo” in a musical tone for
the purpose of the shAstra.
mAnasa-taraMgiNI 