Analyzing the three books for sequences returning to the tonic

First, the counts of accent sequences that Burns comes up with, I cannot duplicate from my data. I think I am reading him correctly and carefully, but I confess the process of counting is fraught with potential error.

An example: he counts 325 occurrences of mer'cha sof-pasuk on page 116 as the total number of such sequences in the three books. Correcting his sof-pasuk to silluq I count only 84 verses with this return from atnach to silluq (essentially A f# e). There are 28 additional verses with this sequence as part of the return to the tonic.That still doesn't add to 325. If we include the verses that contain mugrash as part of the sequence, we get too many (1427). If anyone can enlighten me, please do. Maybe he has noted a restriction in his words that I have missed.

I will still try and build my ladder. There are still things I am looking for: hints of mode and ornament shape. 

The verses for the closing sequence of A f# e are these. In ascending order of the musical line.

B B ^A f# e	Psalms 145:7
B g B ^A f# e	Psalms 48:6
B g ^A f# e	Psalms 44:8, 119:163
C B g B ^A f# e	Psalms 55:18
C d paz,e rev,B g B ^A f# e	Psalms 90:4
C d paz,zar,d ole,f# B B ^A f# e	Psalms 31:11
C e f# e rev,ole,f# e g B ^A f# e	Psalms 55:13
C f# rev,ole,f# f# ^A f# e	Psalms 116:8
C pas,zar,d f# f# ^A f# e	Proverbs 24:24
C pas,zar,d ole,f# B g B ^A f# e	Psalms 9:17
e B B ^A f# e	Job 8:21
e B B ^A f# e	Psalms 69:23, 69:31, 72:2, 89:24, 89:33, 105:22, 116:2, 119:76, 119:81, 119:114, 145:6, 145:11
e B g B ^A f# e	Job 27:7
e B g B ^A f# e	Psalms 22:12, 39:3, 89:22, 119:37
e B g ^A f# e	Job 22:27, 38:38
e B g ^A f# e	Psalms 17:5, 119:147, 119:154, 119:167, 126:4
e B g e ^A f# e	Psalms 48:5
e B zar,d ole,f# C e ^A f# e	Psalms 62:11
e B zar,e d f# B g B ^A f# e	Psalms 86:2
e C B B ^A f# e	Psalms 73:8, 119:169
e C e f# rev,ole,f# f# ^A f# e	Psalms 68:24
e C g f# ^A f# e	Psalms 18:50
e C pas,e rev,B B ^A f# e	Job 12:3
e C pas,e rev,zar,d ole,f# ^A f# e	Psalms 72:17
e C rev,g B ^A f# e	Psalms 10:12
e C zar,C rev,g ^A f# e	Psalms 59:8
e f# ^A f# e	Job 13:8
e f# ^A f# e	Proverbs 4:6
e f# ^A f# e	Psalms 71:1, 72:11, 113:6, 119:30, 132:9
e f# e ^A f# e	Psalms 84:1
e f# e rev,ole,f# B g e ^A f# e	Psalms 78:7
e f# rev,e ole,f# B g ^A f# e	Psalms 37:40
e f# rev,ole,f# f# ^A f# e	Psalms 77:7
e f# rev,ole,f# g B ^A f# e	Psalms 35:21
e f# zar,d ole,f# f# ^A f# e	Psalms 30:10
e g B ^A f# e	Job 8:11, 42:6
e g B ^A f# e	Psalms 119:127
e g B g B ^A f# e	Psalms 31:2
e g f# ^A f# e	Psalms 59:2
e pas,d paz,pas,zar,d e ole,f# f# ^A f# e	Psalms 31:12
e pas,e rev,g B ^A f# e	Psalms 72:1
e pas,e rev,zar,e d ole,f# B g ^A f# e	Psalms 5:11
e pas,rev,B B ^A f# e	Proverbs 6:14
e rev,B g ^A f# e	Psalms 120:2
e rev,g B ^A f# e	Psalms 94:11, 107:25
e rev,ole,f# f# e ^A f# e	Psalms 107:3
g B ^A f# e	Job 39:3
g B ^A f# e	Psalms 30:7, 54:3, 83:16, 89:17, 119:35, 119:40, 119:150
g B e ^A f# e	Psalms 119:123
g e B ^A f# e	Job 18:11
g e B ^A f# e	Psalms 119:3

If I list all forms of return actually used, including ornaments, from the subdominant to the tonic, we have these frequencies of their usage in the three books. The number of verses in the three books where this analysis applies is 4258 out of 4512. Add em up - it's the right number of verses and the distinct patterns are observable.

A g B e	A-atn g-tif B-mun e-sil	861	...
A ger-rev,f# e	A-atn ger-rev,f#-mer e-sil	709	...
A ger-rev,e	A-atn ger-rev,e-sil	507	...
A ger-rev,B e	A-atn ger-rev,B-mun e-sil	380	...
A f# ger-rev,e	A-atn f#-mer ger-rev,e-sil	335	...
A f# ger-rev,f# e	A-atn f#-mer ger-rev,f#-mer e-sil	230	...
A f# ger-rev,B e	A-atn f#-mer ger-rev,B-mun e-sil	211	...
A e f# e	A-atn e-sil f#-mer e-sil	109	...
A ger-rev,e f# e	A-atn ger-rev,e-sil f#-mer e-sil	90	...
A f# e	A-atn f#-mer e-sil	84	...
A e g B e	A-atn e-sil g-tif B-mun e-sil	69	...
A e ger-rev,e	A-atn e-sil ger-rev,e-sil	64	...
A e f# ger-rev,e	A-atn e-sil f#-mer ger-rev,e-sil	48	...
A e ger-rev,f# e	A-atn e-sil ger-rev,f#-mer e-sil	43	...
A e ger-rev,B e	A-atn e-sil ger-rev,B-mun e-sil	28	...
A C g B e	A-atn C-mph g-tif B-mun e-sil	26	...
A e f# ger-rev,f# e	A-atn e-sil f#-mer ger-rev,f#-mer e-sil	24	...
A e f# ger-rev,B e	A-atn e-sil f#-mer ger-rev,B-mun e-sil	22	...
A ger-rev,C ill,e	A-atn ger-rev,C-mph ill,e-sil	22	...
A shl,g B e	A-atn shl,g-tif B-mun e-sil	21	...
A ger,e rev,e	A-atn ger,e-sil rev,e-sil	20	...
A g e B e	A-atn g-tif e-sil B-mun e-sil	14	...
A f# ger-rev,e f# e	A-atn f#-mer ger-rev,e-sil f#-mer e-sil	13	...
A ger,e	A-atn ger,e-sil	13	...
A C e g B e	A-atn C-mph e-sil g-tif B-mun e-sil	11	...
A f# f# ger-rev,f# e	A-atn f#-mer f#-mer ger-rev,f#-mer e-sil	11	...
A f# ger,e	A-atn f#-mer ger,e-sil	11	...
A f# f# ger-rev,e	A-atn f#-mer f#-mer ger-rev,e-sil	10	...
A e pas,g B e	A-atn e-sil pas,g-tif B-mun e-sil	9	...
A e ger,f# e	A-atn e-sil ger,f#-mer e-sil	8	...
A e B e	A-atn e-sil B-mun e-sil	7	...
A e ger,e	A-atn e-sil ger,e-sil	7	...
A f# e ger-rev,e	A-atn f#-mer e-sil ger-rev,e-sil	7	...
A f# e ger-rev,f# e	A-atn f#-mer e-sil ger-rev,f#-mer e-sil	7	...
A ger,B e	A-atn ger,B-mun e-sil	7	...
A ger,f# e	A-atn ger,f#-mer e-sil	7	...
A pas,g B e	A-atn pas,g-tif B-mun e-sil	7	...
A e ger,B e	A-atn e-sil ger,B-mun e-sil	6	...
A f# ger,B e	A-atn f#-mer ger,B-mun e-sil	6	...
A g B	A-atn g-tif B-mun	6	...
A ger,e rev,f# e	A-atn ger,e-sil rev,f#-mer e-sil	6	...
A zar,C g B e	A-atn zar,C-mph g-tif B-mun e-sil	6	...
A f g# e	A-atn f-mer g#-tif e-sil	5	...
A f# f# ger-rev,B e	A-atn f#-mer f#-mer ger-rev,B-mun e-sil	5	...
A ger,e rev,B e	A-atn ger,e-sil rev,B-mun e-sil	5	...
A C f# g B e	A-atn C-mph f#-mer g-tif B-mun e-sil	4	...
A e ger-rev,e f# e	A-atn e-sil ger-rev,e-sil f#-mer e-sil	4	...
A f# e ger-rev,B e	A-atn f#-mer e-sil ger-rev,B-mun e-sil	4	...
A f# ger,f# e	A-atn f#-mer ger,f#-mer e-sil	4	...
A f# ger-rev,C ill,e	A-atn f#-mer ger-rev,C-mph ill,e-sil	4	...
A ger-rev,e e	A-atn ger-rev,e-sil e-sil	4	...
A ger-rev,zar,f# e	A-atn ger-rev,zar,f#-mer e-sil	4	...
A pas,c d g# f e	A-atn pas,c-dar d-gal g#-tif f-mer e-sil	4	...
A shl,e g B e	A-atn shl,e-sil g-tif B-mun e-sil	4	...
A d f g# e	A-atn d-gal f-mer g#-tif e-sil	3	...
A ill,g B e	A-atn ill,g-tif B-mun e-sil	3	...
A C pas,g B e	A-atn C-mph pas,g-tif B-mun e-sil	2	...
A e f# e ger-rev,e	A-atn e-sil f#-mer e-sil ger-rev,e-sil	2	...
A e f# ger-rev,e f# e	A-atn e-sil f#-mer ger-rev,e-sil f#-mer e-sil	2	...
A e ger,e rev,e	A-atn e-sil ger,e-sil rev,e-sil	2	...
A e ger,g B e	A-atn e-sil ger,g-tif B-mun e-sil	2	...
A e shl,g B e	A-atn e-sil shl,g-tif B-mun e-sil	2	...
A f g# f e	A-atn f-mer g#-tif f-mer e-sil	2	...
A f# e f# ger-rev,f# e	A-atn f#-mer e-sil f#-mer ger-rev,f#-mer e-sil	2	...
A f# f# e ger-rev,B e	A-atn f#-mer f#-mer e-sil ger-rev,B-mun e-sil	2	...
A f# ger,e rev,e	A-atn f#-mer ger,e-sil rev,e-sil	2	...
A f# ger-rev,e e	A-atn f#-mer ger-rev,e-sil e-sil	2	...
A f# ger-rev,f#	A-atn f#-mer ger-rev,f#-mer	2	...
A f# ger-rev,zar,f# e	A-atn f#-mer ger-rev,zar,f#-mer e-sil	2	...
A g# f e	A-atn g#-tif f-mer e-sil	2	...
A ger,e f# e	A-atn ger,e-sil f#-mer e-sil	2	...
A ger-rev,f#	A-atn ger-rev,f#-mer	2	...
A pas,C e qad,B z-q,g# f e	A-atn pas,C-mph e-sil qad,B-mun z-q,g#-tif f-mer e-sil	2	...
A rev,f# e	A-atn rev,f#-mer e-sil	2	...
A B B rev,c d f g# f e	A-atn B-mun B-mun rev,c-dar d-gal f-mer g#-tif f-mer e-sil	1	Job 1:1
A B C qad,qad,z-q,B c d f g# f e	A-atn B-mun C-mph qad,qad,z-q,B-mun c-dar d-gal f-mer g#-tif f-mer e-sil	1	Job 1:8
A B rev,qad,B z-q,g# f e	A-atn B-mun rev,qad,B-mun z-q,g#-tif f-mer e-sil	1	Job 2:4
A B z-q,f e g# e	A-atn B-mun z-q,f-mer e-sil g#-tif e-sil	1	Job 2:11
A C e ger-rev,e	A-atn C-mph e-sil ger-rev,e-sil	1	Proverbs 27:19
A C e qad,z-q,g# e	A-atn C-mph e-sil qad,z-q,g#-tif e-sil	1	Job 2:1
A C e zar,f# f# ger-rev,f# e	A-atn C-mph e-sil zar,f#-mer f#-mer ger-rev,f#-mer e-sil	1	Psalms 18:1
A C g e B e	A-atn C-mph g-tif e-sil B-mun e-sil	1	Psalms 127:2
A C g# B e	A-atn C-mph g#-tif B-mun e-sil	1	Job 32:1
A C ger-rev,f# e	A-atn C-mph ger-rev,f#-mer e-sil	1	Proverbs 27:1
A C qad,B z-q,f g# f e	A-atn C-mph qad,B-mun z-q,f-mer g#-tif f-mer e-sil	1	Job 2:7
A C qad,z-q,B z-q,e f g# e	A-atn C-mph qad,z-q,B-mun z-q,e-sil f-mer g#-tif e-sil	1	Job 2:13
A C qad,z-q,g# f e	A-atn C-mph qad,z-q,g#-tif f-mer e-sil	1	Job 1:10
A c B rev,tar,C qad,z-q,t-g,B f d g# f e	A-atn c-dar B-mun rev,tar,C-mph qad,z-q,t-g,B-mun f-mer d-gal g#-tif f-mer e-sil	1	Job 42:8
A c d f g# e	A-atn c-dar d-gal f-mer g#-tif e-sil	1	Job 42:10
A e f#	A-atn e-sil f#-mer	1	Proverbs 24:15
A e f# e ger-rev,B e	A-atn e-sil f#-mer e-sil ger-rev,B-mun e-sil	1	Psalms 94:9
A e f# e ger-rev,f# e	A-atn e-sil f#-mer e-sil ger-rev,f#-mer e-sil	1	Psalms 27:9
A e f# ger,B e	A-atn e-sil f#-mer ger,B-mun e-sil	1	Job 5:24
A e f# ger,f# e	A-atn e-sil f#-mer ger,f#-mer e-sil	1	Psalms 94:16
A e f# ger-rev,zar,f# e	A-atn e-sil f#-mer ger-rev,zar,f#-mer e-sil	1	Psalms 118:25
A e f# rev,B e	A-atn e-sil f#-mer rev,B-mun e-sil	1	Psalms 61:9
A e g e B e	A-atn e-sil g-tif e-sil B-mun e-sil	1	Psalms 83:5
A e ger-rev,e f# ger-rev,B e	A-atn e-sil ger-rev,e-sil f#-mer ger-rev,B-mun e-sil	1	Psalms 53:2
A e ger-rev,g e	A-atn e-sil ger-rev,g-tif e-sil	1	Job 12:15
A e pas,c d g# f e	A-atn e-sil pas,c-dar d-gal g#-tif f-mer e-sil	1	Job 1:15
A e paz,t-q,pas,ger,rev,C qad,z-q,e f g# f e	A-atn e-sil paz,t-q,pas,ger,rev,C-mph qad,z-q,e-sil f-mer g#-tif f-mer e-sil	1	Job 42:12
A e qad,B z-q,f d g# e	A-atn e-sil qad,B-mun z-q,f-mer d-gal g#-tif e-sil	1	Job 2:12
A e rev,e f# rev,B e	A-atn e-sil rev,e-sil f#-mer rev,B-mun e-sil	1	Psalms 14:1
A e z-q,f g# e	A-atn e-sil z-q,f-mer g#-tif e-sil	1	Job 1:9
A f e g# e	A-atn f-mer e-sil g#-tif e-sil	1	Job 1:6
A f# e f# e ger-rev,f# e	A-atn f#-mer e-sil f#-mer e-sil ger-rev,f#-mer e-sil	1	Psalms 27:12
A f# e f# ger-rev,B e	A-atn f#-mer e-sil f#-mer ger-rev,B-mun e-sil	1	Proverbs 26:2
A f# e g B e	A-atn f#-mer e-sil g-tif B-mun e-sil	1	Psalms 66:15
A f# e ger,e	A-atn f#-mer e-sil ger,e-sil	1	Psalms 21:14
A f# e ger,f# e	A-atn f#-mer e-sil ger,f#-mer e-sil	1	Job 5:10
A f# e ger-rev,C ill,e	A-atn f#-mer e-sil ger-rev,C-mph ill,e-sil	1	Psalms 127:1
A f# e ger-rev,e f# e	A-atn f#-mer e-sil ger-rev,e-sil f#-mer e-sil	1	Proverbs 22:6
A f# e zar,f# ger-rev,e	A-atn f#-mer e-sil zar,f#-mer ger-rev,e-sil	1	Psalms 66:20
A f# f# e	A-atn f#-mer f#-mer e-sil	1	Job 35:7
A f# f# ger,B e	A-atn f#-mer f#-mer ger,B-mun e-sil	1	Psalms 68:34
A f# f# ger,f# e	A-atn f#-mer f#-mer ger,f#-mer e-sil	1	Proverbs 26:27
A f# ger,e rev,B e	A-atn f#-mer ger,e-sil rev,B-mun e-sil	1	Job 16:3
A f# ger,e rev,f# e	A-atn f#-mer ger,e-sil rev,f#-mer e-sil	1	Psalms 102:14
A f# ger-rev,e g B e	A-atn f#-mer ger-rev,e-sil g-tif B-mun e-sil	1	Psalms 66:3
A f# pas,g B e	A-atn f#-mer pas,g-tif B-mun e-sil	1	Psalms 47:5
A f# rev,f# e	A-atn f#-mer rev,f#-mer e-sil	1	Psalms 44:19
A f# shl,g B e	A-atn f#-mer shl,g-tif B-mun e-sil	1	Psalms 89:2
A f# zar,f# ger-rev,B e	A-atn f#-mer zar,f#-mer ger-rev,B-mun e-sil	1	Psalms 31:22
A g B e e	A-atn g-tif B-mun e-sil e-sil	1	Proverbs 20:13
A g f# e	A-atn g-tif f#-mer e-sil	1	Job 10:6
A g f# e ger-rev,B e	A-atn g-tif f#-mer e-sil ger-rev,B-mun e-sil	1	Psalms 52:11
A g f# e shl,g B e	A-atn g-tif f#-mer e-sil shl,g-tif B-mun e-sil	1	Job 32:6
A g f# ger-rev,e	A-atn g-tif f#-mer ger-rev,e-sil	1	Psalms 74:13
A g f# ger-rev,f# e	A-atn g-tif f#-mer ger-rev,f#-mer e-sil	1	Psalms 23:5
A g f# shl,g B e	A-atn g-tif f#-mer shl,g-tif B-mun e-sil	1	Job 37:12
A ger,C ill,e	A-atn ger,C-mph ill,e-sil	1	Psalms 73:20
A ger,e rev,e f# e	A-atn ger,e-sil rev,e-sil f#-mer e-sil	1	Psalms 107:43
A ger,e rev,f# e rev,B A paz,f# e	A-atn ger,e-sil rev,f#-mer e-sil rev,B-mun A-atn paz,f#-mer e-sil	1	Psalms 145:13
A ger,f# rev,B e	A-atn ger,f#-mer rev,B-mun e-sil	1	Psalms 40:9
A ger,f# rev,e	A-atn ger,f#-mer rev,e-sil	1	Job 13:21
A ger,f# rev,f# e	A-atn ger,f#-mer rev,f#-mer e-sil	1	Psalms 21:2
A ger-rev,	A-atn ger-rev,	1	Psalms 37:32
A ger-rev,B	A-atn ger-rev,B-mun	1	Psalms 31:20
A ger-rev,B e e	A-atn ger-rev,B-mun e-sil e-sil	1	Proverbs 30:22
A ger-rev,B f# e	A-atn ger-rev,B-mun f#-mer e-sil	1	Psalms 60:3
A ger-rev,C g B e	A-atn ger-rev,C-mph g-tif B-mun e-sil	1	Proverbs 25:28
A ger-rev,e C ill,e	A-atn ger-rev,e-sil C-mph ill,e-sil	1	Proverbs 19:10
A ill,g e B e	A-atn ill,g-tif e-sil B-mun e-sil	1	Psalms 4:8
A pas,C qad,z-q,B z-q,e g# e	A-atn pas,C-mph qad,z-q,B-mun z-q,e-sil g#-tif e-sil	1	Job 1:7
A pas,C qad,z-q,B z-q,g# e	A-atn pas,C-mph qad,z-q,B-mun z-q,g#-tif e-sil	1	Job 2:2
A pas,ger,B e rev,pas,C qad,B z-q,t-g,B f d g# f e	A-atn pas,ger,B-mun e-sil rev,pas,C-mph qad,B-mun z-q,t-g,B-mun f-mer d-gal g#-tif f-mer e-sil	1	Job 42:7
A pas,zar,C g B e	A-atn pas,zar,C-mph g-tif B-mun e-sil	1	Psalms 32:5
A qad,B e z-q,g# f e	A-atn qad,B-mun e-sil z-q,g#-tif f-mer e-sil	1	Job 1:14
A qad,B z-q,g# e	A-atn qad,B-mun z-q,g#-tif e-sil	1	Job 1:3
A qad,qad,B z-q,f g# f e	A-atn qad,qad,B-mun z-q,f-mer g#-tif f-mer e-sil	1	Job 2:3
A qad,z-q,g# f e	A-atn qad,z-q,g#-tif f-mer e-sil	1	Job 1:12
A rev,C B z-q,z-g,f g# e	A-atn rev,C-mph B-mun z-q,z-g,f-mer g#-tif e-sil	1	Job 42:11
A rev,qad,B e z-q,f g# e	A-atn rev,qad,B-mun e-sil z-q,f-mer g#-tif e-sil	1	Job 1:4
A rev,qad,B z-q,g# e	A-atn rev,qad,B-mun z-q,g#-tif e-sil	1	Job 42:16
A shl,C e f# e	A-atn shl,C-mph e-sil f#-mer e-sil	1	Psalms 146:3
A zar,C ger-rev,e	A-atn zar,C-mph ger-rev,e-sil	1	Psalms 31:16
A zar,f# ger-rev,f# e	A-atn zar,f#-mer ger-rev,f#-mer e-sil	1	Psalms 19:2