Monday, 28 September 2015

The modes as implemented in my automation of the music

For my own sake, I must expose the modes as I have coded. I forget how to use my own program! Here's my picture from 2012.
In doing the first chapter of the prophet Joel, I wonder what the chromatic phrygian is.

Here they are as coded

Poetry
1 C4 D4#E4 F4#G4 A4 B4 C5 D5#E5 F5#
     default for psalms chromatic hypodorian
2 C4#D4#E4 F4#G4#A4 B4 C5#D5#E5 F5#
     Major
3 C4 D4#E4 F4#G4#A4 B4 C5 D5#E5 F5#
     Major-minor Mitchell for Pss 120-134 Lydian Minor 6th f# is flat if singing
4 C4 D4#E4 F4#G4 A4#B4 C5 D5#E5 F5#
     raised 4th <> prose 4 Hypodorian pronounced chromatic
5 C4 D4 E4 F4 G4 A4 B4 C5 D5 E5 F5
    Natural minor aolian
6 C4 D4 E4 F4 G4#A4 B4 C5 D5 E5 F5
    like prose 1
7 C4 D4 E4 F4#G4 A4 B4 C5 D5 E5 F5#
    like prose 2

Prose
1 C4 D4 E4 F4 G4#A4 B4 C5 D5 E5 F5  SHV
     default for prose chromatic dorian
2 C4 D4 E4 F4#G4 A4 B4 C5 D5 E5 F5#
     Hypodorian - diatonic minor
3 C4#D4#E4 F4#G4#A4 B4 C5#D5#E5 F5#
     Lydian
4 C4#D4 E4 F4#G4 A4#B4 C5#D5 E5 F5#
     chromatic phrygian with raised 4th
5 C4 D4 E4 F4 G4 A4 B4 C5 D5 E5 F5
     Natural minor aolian

Here is Joel chapter 1 in mode 4 (Prose of course since by definition Joel is part of the 21 books). I think the high C# could be flattened - what do you think? I have a feeling I did not like the A#-C interval when I coded the program data, but it works quite well in this chapter. The A# itself negates the idea of rest on the atnach. There is no real rest in these words.

Sunday, 27 September 2015

Waiting for the moon

Blueberry Hill - looking west, expecting the moon to rise in the East
Mt Baker in the mist of evening taken from 112 km away

After 35 minutes of waiting the moon appeared in the middle of the sky,
having snuck up on us through an invisible mist.

The Blood moon in the midst of eclipse


Again looking west - time for lights on to scurry back to the car over the rocks

Saturday, 26 September 2015

One body - a reflection on the music of the accents

I have just listened to David's lament as set by Tomkins again. It is very moving. The heart-wrenching images superimposed on the music of this performance do not include the latest in the refugee tragedies that we have seen every day recently. But they make one ask if there is any healing possible.

Who will allow their minds to be changed from the pursuit of violence?

In considering this, I have written (again) on the music of the Bible to consider all the people on whom I am dependent to be able to do this work. There are millions. Clearly there is one body and yet for all its music, it is as Isaiah says a head of sickness and a heart of melancholy. From the sole of the foot and up to the head, there is no completeness in it: inflicted with wounds, and striped, and freshly stricken, neither closed up, nor bandaged, nor eased with oil.
Isaiah 1:5-6. Note that the opening B-f-d occurs in 28 verses in the Scripture:
8 times in Torah, 15 in the later Prophets and 5 in the Writings
It is abundantly clear in our interdependent body, that there is much that is not healthy.

What then should we do? Clearly we should learn to sing.

Who am I to say this? And what would I sing?

I am a small business owner whose life's work has been in the field of computer science. On retirement, my work continued the experimental use of our software to develop a system for analysis of the Hebrew Bible. The results of this are in process.

The first milestone was the publication of my book Seeing the Psalter, Energion 2013. This work was completed during a Community Fellowship at the University of Victoria in the Centre for Studies in Religion and Society. The database used to create my 500 page visualization of word repetition in Hebrew poetry has become the seed for a larger project: to read all the Hebrew Scripture in a concordant fashion.

The second milestone achieved in August 2015 changes the way in which the Hebrew Bible can be read. I have automated the transformation of the Hebrew Bible from the Hebrew pointed text into readable Music.

Music?

Yes, the Bible is a multi-thousand page art song. (I'm guessing about 6,000 pages).

The Hebrew of the Bible is marked with accents above and below the text of each line, syllable by syllable. The meaning of these signs was largely passed on through oral tradition which after the destruction of the temple became lost. The accents we have today appeared as a fully formed system in the eighth century Aleppo codex. No one I have read seems to know where they came from. People have discussed the accents and searched out their meaning as if they were primarily grammatical punctuation and as if they were created by the Masoretes. That is an assumption rather than a proven piece of history. The discussions are arcane, filled with unfamiliar words, and difficult to follow. Tradition has many differing ways of singing the text, but the cantillation, though florid, is less than revealing of the song.

I used the rules of Suzanne Haïk-Vantoura, a student of Marcel Dupré (introduced visually here.) She inferred a deciphering key based on a superficially obvious characteristic of the accents: the accents below the text are always present. Those above the text are often absent. The accents below the text can describe a scale and therefore define a reciting note. She then interpreted those above the text as ornamentation. This transformation into music makes the grammar of the accents in the Hebrew text transparent. There is no need for arcane and difficult to understand explanations. The links to the many thousand pages of the 929 chapters are here. I have made them public because this music belongs to us all.

On what or on whom was I dependent to do this work?
  • First to my musical training over 60 years. Strange as it may seem, most students of the Bible are not musicians.
  • Second, to the creators of the MusicXML language and of the music software that can read it.
  • Third, to my trainers in language, English from my youth, even my troubled Latin teacher, my Hebrew teacher, Gidi Nahson of blessed memory, at the local synagogue in Victoria B.C.
  • Fourth, to my staff of research programmers.
  • Fifth, 
    • to the creators of Oracle, the database I use,
    • to those who built and maintain my computer,
    • and to the internet.
  • And then I am dependent on Suzanne Haïk-Vantoura who inferred the rules for the music of the accents in the last century and to her teacher, Marcel Dupré and even to the war that forced her exile and isolation.
  • And to her translator, Jon Wheeler, who was very supportive in my first halting steps and who still wants to correct my interpretations at times.
Surely this interdependency shows we are one body. No healthy creature desires to hurt its own body.

The myriad of factors that allowed me to create a program to transform the text into music includes people of every possible stripe.

One more dependency needs elaborating, but here is the secret motivation that cannot be expressed without seeming to exclude. That would be a misreading of my self-description and an imposition of what you think I must be like into your own thoughts. Why create either an enemy or a slot, hostile or friendly, for my being based on your reading of my words?

My religion is Christian. This is an inherited upbringing whether nominal or fundamental in the social structure to which I was appended in my youth. I have been through all sorts of manifestations of this structure, from a nominal United Church infancy, to a school in the English tradition where the Bible was read in a Church of England framework every morning and evening, to a recoil to atheism based on Bertrand Russel’s work from the fractured 19 years that home and school represented, to a call into the incredible fundamentalism and accidental typology of the closed-table brethren, to what I hope is a more sensible maturity – but who knows? The pear is still on the tree and has somewhat matured its shape and texture in spite of the pressures that were imposed on it.

Whatever else my history reveals, I realized just 10 years ago at age 60 or so, that the dialogue between Jesus and his Father, the inner dialogue of a human being, was a dialogue I could not understand in him as human without a reading that respected the use of words in his own language and a sense of how they fit together with their repeating sounds. What I knew was tradition and complex scholarly articles on texts. I did not find what I was looking for in any translation of the Hebrew Bible. In particular, the Hebrew of the Psalms presented itself to me as a primary problem in understanding the humanity of this Jesus, child of Mary, child of David, child of God. And Coverdale, though a piece of poetry in its own right, is not a translation that allows such insight into the character of the Anointed easily.

So I read Hebrew poetry as my first introduction to the language. I, who was impatient with English, French, or Latin poetry, began to learn a new language first by reading its poetry. Note: I did not learn its grammatical rules. I still don’t know them! But I can continue to report in English what I have begun to learn over the last 10 years.

So this is the primal and final influence on my project. To help me, I read with the tools outlined in this poster:
  • the music, now available to me completely and on a verse by verse basis,
  • an emerging dictionary of stems, allowing me to hear and see repeated sounds, and
  • a set of programs that enable semi-automated translation and a testing of my chosen English gloss against the Hebrew.
It is abundantly clear in our interdependent body, that there is much that is not healthy.

What then should we do? Clearly we should learn to sing.

Sunday, 20 September 2015

Notes and Ornament frequencies by major Biblical section -

These numbers are for musical sequences that occur in more than 20 verses in the Bible.They may indicate different musical practices among the different books. There are, however, only 2612 (10%) verses are involved with these 61 most common patterns. 15,284 (over 65%) verses have unique musical patterns. The remaining 25% are patterns that are used from 2 to 20 times.

I did not list common patterns where the section did not use them - so some shrewdness is required when studying these tables.

Here are the numbers for the first major section of the Hebrew Bible
Torah Vss Gn Ex Lv Nu Dt
e f g# f e  183 3 20 27 37 2
e f g# e  132 4 2 5 15 8
e f g# ^A A f g# e  73 8 4 5 2 11
e f g# ^A A g# f e  65 9 4 2 3 6
e f g# B ^A A f g# e  59 9 11 3 2 0
e f g# ^A A g# e  54 5 7 3 7 3
e g# ^A A f g# e  50 3 9 4 2 3
e f g# B ^A A f g# f e  47 3 6 1 1 2
e f g# B ^A A g# f e  42 3 3 0 1 2
e qad,z-q,g# e  42 1 0 1 3 0
e f g# ^A A f g# f e  41 2 4 2 4 3
e f g# B ^A A g# e  40 8 7 3 2 0
e g# B ^A A g# f e  40 3 0 2 3 2
e B z-q,g# e  34 1 1 1 13 1
e g# ^A A f g# f e  34 5 1 4 2 2
e g# B ^A A g# e  31 4 5 0 1 2
e g# B ^A A f g# f e  26 2 1 1 5 2
e g# B ^A A f g# e  25 4 2 2 1 1
e qad,B z-q,g# e  25 1 0 0 1 1
e B z-q,g# f e  23 0 0 0 0 1
e g# ^A A g# f e  23 3 1 1 2 2
e c d f g# f e  22 4 2 0 0 0
e B z-q,g# ^A A f g# e  21 2 2 1 1 1
e B z-q,g# ^A A g# e  21 3 0 3 3 2
e C qad,z-q,g# e  21 1 0 0 0 0

The Prophets
Count Josh Jdg Sa Kng Is Je Ez
e f g# f e  183 4 0 1 4 1 8 38
e f g# e  132 24 0 1 3 0 0 0
e f g# ^A A f g# e  73 3 2 9 2 9 8 1
e f g# ^A A g# f e  65 1 3 4 2 10 2 0
e f g# B ^A A f g# e  59 2 0 3 7 4 3 4
e f g# ^A A g# e  54 0 0 4 1 9 2 1
e g# ^A A f g# e  50 1 1 6 2 5 1 5
e f g# B ^A A f g# f e  47 0 0 0 6 5 2 4
e f g# B ^A A g# f e  42 1 1 3 5 7 4 1
e qad,z-q,g# e  42 3 0 2 2 2 2 0
e f g# ^A A f g# f e  41 1 0 2 3 8 1 1
e f g# B ^A A g# e  40 0 0 1 1 6 4 2
e g# B ^A A g# f e  40 0 1 2 0 9 4 2
e B z-q,g# e  34 2 1 0 1 0 1 1
e g# ^A A f g# f e  34 1 0 0 2 3 1 0
e g# B ^A A g# e  31 0 0 3 0 5 2 4
e g# B ^A A f g# f e  26 1 0 2 2 2 1 0
e g# B ^A A f g# e  25 1 0 1 2 4 1 2
e qad,B z-q,g# e  25 0 0 0 1 1 2 1
e B z-q,f g# f e  24 1 0 0 0 0 0 0
e B z-q,g# f e  23 0 1 0 3 0 0 1
e g# ^A A g# f e  23 0 0 2 0 4 2 2
e c d f g# f e  22 1 1 2 2 0 1 1
e B z-q,g# ^A A f g# e  21 1 2 1 3 0 0 1
e B z-q,g# ^A A g# e  21 4 0 0 0 1 1 0
e C qad,z-q,g# e  21 1 0 3 0 0 1 0

The Three
Job Psa Pro
e B B ^A A g B e  75 0 52 23
e B g B ^A A g B e  74 0 31 43
g B ^A A g B e  71 1 52 18
g B ^A A ger-rev,f# e  70 0 48 22
e B B ^A A ger-rev,e  66 13 41 12
e B B ^A A ger-rev,B e  57 19 31 7
e B B ^A A ger-rev,f# e  57 0 45 12
e g B ^A A g B e  55 0 34 21
g B ^A A ger-rev,e  50 0 36 14
e B g B ^A A ger-rev,f# e  48 0 23 25
e f# ^A A ger-rev,f# e  48 0 35 13
e f# ^A A g B e  45 0 32 13
e B g B ^A A f# ger-rev,f# e  44 0 28 16
e B B ^A A g# B e  43 43 0 0
e B g ^A A g B e  38 0 24 14
e B g ^A A ger-rev,e  37 0 32 5
e g B ^A A ger-rev,f# e  37 0 28 9
e f# ^A A ger-rev,e  35 0 31 4
e B B ^A A ger-rev,f e  34 34 0 0
g B ^A A ger-rev,B e  32 0 20 12
e B g ^A A ger-rev,f# e  31 0 23 8
e B g B ^A A f# ger-rev,B e  30 0 13 17
g# B ^A A ger-rev,f e  30 30 0 0
e B g B ^A A f# ger-rev,e  29 0 13 16
g# B ^A A g# B e  29 29 0 0
e B B ^A A f# ger-rev,e  28 0 20 8
e g# B ^A A g# B e  28 28 0 0
e B g B ^A A ger-rev,B e  27 0 14 13
e f ^A A g# B e  26 26 0 0
e f# ^A A f# ger-rev,e  25 0 19 6
e g B ^A A ger-rev,e  25 0 19 6
e g# B ^A A ger-rev,f e  24 24 0 0
B g B ^A A g B e  23 0 8 15
e B g# B ^A A g# B e  22 22 0 0
g B ^A A f# ger-rev,e  21 0 16 5

The Writings except the Three
Can Rut Lm  Qo Es Dan E-N Chr
e f g# f e  183 1 0 4 0 0 0 25 6
e f g# e  132 0 0 0 0 0 0 37 33
e f g# ^A A f g# e  73 0 0 0 1 0 0 0 5
e f g# ^A A g# f e  65 0 0 0 1 0 0 0 4
e f g# B ^A A f g# e  59 0 0 0 2 0 1 0 6
e f g# ^A A g# e  54 0 0 0 0 1 0 0 1
e g# ^A A f g# e  50 0 1 0 0 0 0 0 7
e f g# B ^A A f g# f e  47 0 1 0 3 0 1 1 9
e f g# B ^A A g# f e  42 0 0 0 1 0 2 1 5
e qad,z-q,g# e  42 0 0 2 0 0 0 0 23
e f g# ^A A f g# f e  41 0 0 0 0 0 0 3 4
e f g# B ^A A g# e  40 0 0 0 0 0 0 0 2
e g# B ^A A g# f e  40 0 0 0 2 0 0 0 2
e B z-q,g# e  34 1 0 1 0 0 0 3 5
e g# ^A A f g# f e  34 0 0 0 2 0 0 2 9
e g# B ^A A f g# f e  26 0 0 0 1 0 1 3 2
e g# B ^A A f g# e  25 0 0 0 0 0 0 2 0
e qad,B z-q,g# e  25 2 0 3 2 0 0 0 7
e B z-q,f g# f e  24 0 0 0 0 0 0 17 6
e B z-q,g# f e  23 0 0 0 0 0 1 14 1
e g# ^A A g# f e  23 0 0 0 0 0 0 1 1
e c d f g# f e  22 0 0 2 2 1 0 0 3
e B z-q,g# ^A A f g# e  21 0 0 0 1 0 1 0 4
e B z-q,g# ^A A g# e  21 0 0 0 0 0 0 0 3
e C qad,z-q,g# e  21 1 0 8 0 0 0 0 6

Friday, 18 September 2015

The rarer ornaments

Again I have separated the counts between approaching the cadence and returning to the tonic.

in approaching the cadence
  • Zarqa occurs 1300 times as part of 621 distinct patterns.
  • Tarsin (double geresh) occurs 1060 times as part of 365 patterns often with
  • talsha which itself occurs 761 times in 396 patterns.
  • shalshelet occurs 11 times in 8 patterns: 4 times in Torah, once in Ezra, once in Isaiah, once in Amos, and 4 times in the three books, twice in Psalms, twice in Proverbs.
  • Pazer occurs 580 times in 306 patterns often with tarsin, talsha, and qarne.
  • Qarne, the rising form of talsha, occurs 1268 times in 513 sequences.
  • Segol 949 in 540.
  • Illuy 116 in 31 only in the three books.
  • Ole 356 in 66 only in the three books and never after the cadence.
in the return to the tonic
  • Zarqa occurs 19 times as part of five distinct patterns.
  • Tarsin (double geresh) occurs 582 times as part of 155 patterns
  • often with talsha which itself occurs 357 times in 138 patterns.
  • shalshelet occurs 35 times always by itself and only in the three books.
  • Pazer occurs 187 times in 96 patterns often with tarsin, talsha, and qarne
  • Qarne, the rising form of talsha, occurs 500 times in 183 sequences.
  • Segol twice only, Exodus 20:5 and Deuteronomy 5:9. I used it also in my coding of Matthew - now at least I would know what pattern to put it in after the cadence.
  • Illuy 33 in 4 patterns, only in the three books.
Considering these are occurring in over 23,000 verses, they are all rarely used.

Summary
Supra-linear accent Before the cadence After Books
Zarqa 1300 19 24
Tarsin 1060 582 21
Talsha 761 357 21
Shalshelet 11 35 3
Pazer 580 187 24
Qarne 1268 500 21
Segol 949 2 21
Illuy 116 33 3
Ole 356 0 3
Merkha-Kefula 1 13 21
The Merkha-Kefula (doubled mercha) is not a known symbol for my program. I have in fact interpreted it as a mercha, f (a tevir, d would be more likely and would fit as well or better and be likely from a scribal point of view / ./ // the dot having been lengthened into a slash). It occurs below the text. Same shape as the Tarsin (gershaim) above the text. I have some limited information here. [The very-hard-to-read rules at the end of the appendix could all be tested against the data.]

Note the number of occurrences (except for shalshelet and m-k) is higher prior to the mid-verse cadence than after. The return to the tonic tends to be quicker than the approach to the cadence. As coming down a hill tends to be more speedily accomplished than going up.

Sequences of ornaments

You might have guessed I would try this. What sequences do the ornaments appear in when they are used? It is one thing to count them by type, but it is how they are used together as well as how they are used rarely that will mark their effect on the music. This exercise has also uncovered a dozen or two verses where my data needed adjusting and the music needed updating and I have done this at the shared public locations.

Here is a first table for before the mid point of a verse.
Ornaments  Occurs Gen Ex Lev Num Deut Josh Judg 1Sam 2Sam 1Kng 2Kng Is Je Ezek
none 3231 420 343 199 329 236 115 114 146 181 144 137 377 255 235
qad, 139 18 11 9 18 8 5 4 6 4 14 5 16 12 9
qad,ger-rev,qad,z-q, 139 13 10 7 18 6 11 8 12 9 9 5 5 12 14
qad,qad,z-q, 614 69 36 28 40 19 30 18 43 27 48 31 92 66 67
qad,z-q, 2028 194 179 131 175 120 59 89 124 91 80 83 319 202 182
qad,z-q,qad,z-q, 214 24 15 18 10 11 9 19 15 8 18 10 10 17 30
qad,z-q,z-q, 165 21 18 12 10 11 5 9 12 8 8 4 10 19 18
rev, 202 20 13 15 21 19 13 9 10 15 16 5 14 16 16
rev,qad,qad,z-q, 210 31 16 12 12 17 13 6 8 10 13 12 17 16 27
rev,qad,z-q, 662 80 51 35 50 44 34 22 40 38 34 35 56 67 76
rev,qad,z-q,qad,z-q, 101 7 6 3 5 5 2 5 6 1 10 8 8 17 18
z-g, 274 49 14 15 24 18 9 7 13 14 15 17 20 26 33
z-q, 844 105 60 48 86 71 30 49 49 39 38 38 78 86 67

Sorry no music. Notation is hard to manage in a table. I have abbreviated all the ornament traditional names. And I have not translated them to musical names.

The traditional names in the above are qadma, geresh, revia, zaqef-qatan, zaqef-gadol. Only these five appear as frequently in sequence - in more than 100 verses in the first 15 books.

  • qadma sounds the note above the reciting note and returns to the reciting note, 
  • geresh sounds the note a third above the reciting note and returns to the reciting note, 
  • revia may be a trill or a mordent starting on the reciting note,
  • zaqef qatan is a mordent - sounding the note below the reciting note and returning to the reciting note,
  • zaqef gadol goes down the first note and then the second note below the zaqef qatan.
These are how I interpret Suzanne Haik-Vantoura's work. I feel the work on the ornaments is less certain than her work on the signs below the text.

Still - we learn something from this exercise: qadma + zaqef-qatan is a very frequent combination. 

Here are the stats for after the cadence. All the same patterns appear. Note the frequency with which there are no supra-linear signs. This was one of the main reasons that SHV determined that the sublinear signs were more significant than the signs above the text.

Ornaments  Occurs Gen Ex Lev Num Deut Josh Judg 1Sam 2Sam 1Kng 2Kng Is Je Ezek
none 5177 667 485 414 534 305 220 222 254 218 275 252 434 458 439
qad, 139 6 15 15 10 10 9 7 9 10 6 10 7 18 7
qad,qad,z-q, 671 68 55 34 44 44 28 30 34 36 40 26 103 59 70
qad,z-q, 2249 188 167 116 174 174 75 84 139 88 113 77 355 266 233
qad,z-q,qad,z-q, 116 18 8 6 12 7 3 0 8 9 5 8 11 15 6
qad,z-q,z-q, 114 16 12 6 7 10 3 9 8 6 5 5 7 11 9
rev, 286 18 27 16 29 23 10 5 14 17 33 38 15 27 14
rev,qad,qad,z-q, 167 17 12 7 28 15 6 9 7 8 9 9 15 13 12
rev,qad,z-q, 494 54 44 16 43 31 22 21 32 39 28 29 44 47 44
z-g, 312 49 32 14 43 15 10 14 22 13 11 15 20 25 29
z-q, 1228 161 111 67 82 76 41 59 93 57 79 72 112 117 101
What about the less frequently used ornaments. I have noted in the past how particular words and concepts in a passage are annotated with musical flourishes. The passages highlighting the weapons (sword and stone) with the talsha in the David-Philistine battle are a good case in point. These rarer accents will follow in a subsequent post when I figure out how to present their rarity.

Thursday, 17 September 2015

Common patterns in the first 15 books of the Bible

I will probably give this up in a few days. But here are the patterns of approaching the rest (or not - one line below has no rest) that occur more than 100 times in the first 14 books of the Tanach. That is Torah, and the Former Prophets and the major prophets. Of course some books are longer in verses than others so it might be better to show a % of verses. Nonetheless, there is a considerable commonality to the musical lines and little to tell us what the mode might be optimal based on this preliminary analysis (in the default mode).
Note pattern  Occurs Gen Ex Lev Num Deut Josh Judg 1Sam 2Sam 1Kng 2Kng Is Je Ezek
e B f g# B ^A  163 17 13 5 14 11 2 11 11 10 9 10 12 15 23
e B f g# ^A  294 46 27 10 16 22 12 17 16 17 12 15 32 23 29
e B g# B ^A  392 31 29 22 37 27 15 24 17 21 38 25 42 24 39
e B g# ^A  322 41 24 14 39 19 20 16 23 12 14 14 33 31 22
e C B f g# ^A  206 25 29 18 6 10 6 11 13 3 12 13 17 24 19
e C B g# B ^A  202 28 19 15 13 11 8 9 11 10 13 13 13 14 25
e C B g# ^A  162 19 10 17 12 14 7 10 12 5 9 5 14 16 12
e C f g# ^A  209 16 17 9 15 12 7 10 21 19 6 8 30 14 25
e C g# B ^A  219 25 23 10 13 14 7 4 14 10 16 13 35 23 12
e C g# ^A  184 19 17 14 13 8 5 11 11 4 13 6 27 16 20
e c d f g# B ^A  106 16 14 8 11 3 3 6 10 5 10 6 5 4 5
e c d g# B ^A  137 22 11 10 9 9 6 7 7 10 11 2 15 10 8
e c d g# ^A  133 27 9 6 13 12 4 6 10 9 10 6 7 11 3
e d f g# B ^A  137 20 16 7 9 4 3 6 3 4 17 15 12 13 8
e d f g# ^A  196 20 18 19 15 20 8 7 6 8 10 11 17 24 13
e f g# B ^A  553 71 87 34 32 29 16 16 22 17 27 41 70 42 49
e f g# ^A  777 117 76 51 82 58 26 32 46 53 36 24 76 65 35
e f g# f e  149 5 20 27 39 2 4 0 0 1 3 1 1 8 38
e g# B ^A  486 61 41 27 79 21 16 10 23 23 24 24 53 35 49
e g# ^A  477 52 51 30 91 33 16 9 13 29 18 18 44 24 49
And here are the most frequent patterns of returning to the tonic. One thing to note is that what I called the leading tone can equally well descend to the e as rise to the A. Although this music may seem somewhat 'tonal', I suspect that tuning is quite different from what traditional diatonic harmony expects these days. The g# is consistently part of both halves of every verse in these selections. I see only 50 cases in seven patterns (out of 1000s of verses) in the current data for these books where g# does not occur in the return to the tonic.

I was discussing some of our performances at church last week with a listener. The feedback is that this music is dramatic and a real lift to the traditional readings. (Note, while A is the takeoff point for the second half of a verse, there may be no actual continuation on A if there is a change in reciting note on the first syllable after the rest.)

Note pattern  Occurs Gen Ex Lev Num Deut Josh Judg 1Sam 2Sam 1Kng 2Kng Is Je Ezek
A B f g# e  360 58 26 20 19 32 6 13 28 16 21 20 37 41 23
A B f g# f e  123 11 6 1 7 9 5 9 4 11 11 11 8 8 22
A B g# e  472 47 43 23 45 30 20 16 27 18 31 15 66 45 46
A B g# f e  472 62 36 21 23 44 18 16 32 23 34 17 57 48 41
A C B f g# e  230 16 29 6 19 15 8 12 14 6 11 11 29 34 20
A C B f g# f e  115 8 6 7 8 8 5 8 6 3 8 5 21 12 10
A C B g# e  181 26 17 10 11 7 5 6 7 9 10 3 28 20 22
A C B g# f e  235 19 13 13 19 13 13 12 13 13 16 12 22 18 39
A C f g# e  216 22 19 20 21 10 4 9 13 6 16 6 26 17 27
A C g# e  175 13 15 8 10 12 11 6 12 7 6 4 36 21 14
A C g# f e  195 14 7 7 8 13 10 8 14 10 10 11 36 21 26
A c d f g# e  113 13 15 9 5 13 9 6 6 5 4 6 3 15 4
A c d f g# f e  131 7 16 20 10 8 3 2 4 11 5 7 10 14 14
A c d g# e  124 10 15 7 18 9 4 4 10 12 9 7 6 5 8
A c d g# f e  162 12 16 19 31 4 6 6 8 5 12 9 15 11 8
A d f g# e  328 20 43 25 39 15 17 16 13 14 24 28 15 38 21
A d f g# f e  194 21 17 18 13 9 6 11 10 9 13 17 17 16 16
A e f g# e  153 18 12 10 11 17 9 9 14 10 5 3 9 18 9
A e g# e  146 10 9 8 37 7 13 9 6 5 6 8 9 11 8
A e g# f e  128 13 11 4 25 10 6 10 4 8 5 8 9 3 12
A f d g# f e  114 17 15 14 11 6 1 4 5 6 2 5 10 8 10
A f g# e  1197 178 111 86 90 92 63 52 65 44 80 48 96 89 103
A f g# f e  745 101 52 63 74 50 20 31 32 31 38 43 74 60 76
A g# e  1001 124 113 92 139 56 40 41 36 34 42 39 74 83 88
A g# f e  859 110 65 52 70 45 40 31 46 52 45 43 104 79 77