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Blumberg's
Music Theory CipherforGuitar
and other stringed instruments
Musical Number Formula Translation Tables:Intervals, Scales, and Chords
Roger Edward Blumberg Copyright 2002
Complements of www.TheCipher.com
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Musical Number Formula Translation Tables:
Intervals, scales, and chords
Master Chart Summary Table One (materials of Major and minor)
Universal Speller Transposer
. . . and more . . .
Roger Edward Blumberg Copyright 2002
Complements of www.TheCipher.com
Blumberg's
Music Theory CipherforGuitar
and other stringed instruments
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 3
Intervals
Interval Number-Name Translation Tables
Table One
: Standard word-prefixed
interval number-names toCipher (or Chromatic) equivalents.
Figure 1-1
P 1st / dim. 2nd . . . . Unison . . . 0 - 0
min. 2nd . . . . . . . . . . . . . . . . . . . . . . . 0 - 1
Maj. 2nd / dim. 3rd. . . . . . . . . . . . . . 0 - 2
min. 3rd / Aug. 2nd . . . . . . . . . . . . . 0 - 3
Maj. 3rd . . . . . . . . . . . . . . . . . . . . . . . 0 - 4
P 4th /Aug. 3rd. . . . . . . . . . . . . . 0 - 5
Aug. 4th / dim. 5th . . . . . . . . . . . . . 0 - 6
P 5th . . . . . . . . . . . . . . . . . . . . . . . 0 - 7
Aug. 5th / min. 6th . . . . . . . . . . . . . . 0 - 8
Maj. 6th / dim. 7th . . . . . . . . . . . . . . 0 - 9
min. 7th . . . . . . . . . . . . . . . . . . . . . . . . 0 - 10
Maj. 7th . . . . . . . . . . . . . . . . . . . . . . . . 0 - 11
P 8th . . . . . . . . . . . . . Octave . . . 0 - 12
min. 9th . . . . . . . . . . . . . . . . . . . . . . . 0 - 13
Maj. 9nd . . . . . . . . . . . . . . . . . . . . . . . 0 - 14
min. 10th / Aug. 9th . . . . . . . . . . . . 0 - 15
Maj. 10th . . . . . . . . . . . . . . . . . . . . . . 0 - 16P 11th . . . . . . . . . . . . . . . . . . . . . . 0 - 17
Aug. 11th / dim. 12th . . . . . . . . . . . 0 - 18
P 12th . . . . . . . . . . . . . . . . . . . . . . 0 - 19
min. 13th / aug. 12th . . . . . . . . . . . . 0 - 20
Maj. 13th . . . . . . . . . . . . . . . . . . . . . . 0 - 21
min. 14th . . . . . . . . . . . . . . . . . . . . . . 0 - 22
Maj. 14th . . . . . . . . . . . . . . . . . . . . . . 0 - 23
P 15th . . . . . . . . . . . . Octave . . . 0 - 24
Standard Cipher *
Intervals
P = Perfect
Maj. = Major
min. = minor
Aug. = Augmented
dim. = diminished
distance or chromatic-position of the upper tone from zero (the tonic/root).* 0= Tonic or Root. The numbers to the rightof the dash represent the half-step
Italicized interval names are less common. They could be indicated in thesecond octave of tones as well
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4 Blumbergs Music Theory Cipher www.TheCipher.com
Intervals
Interval Number-Name Translation Tables
Table Two
: Standard accidental-mark prefixed
interval number-names,to Cipher (or Chromatic) equivalents.
Figure 1-2
1 = 0 2, 1 = 0
2 = 1
2 = 2
3, 2 = 2
3, 2 = 3
3 = 4 3 = 4
4 = 5 3, 4 = 5
5, 4 = 6
5 = 7 5 = 7
6, 5 = 8
6 = 9 7, 6 = 9
7 = 10
7 = 11 7 = 11
8 = 12 8 = 12
9 = 13
9 = 14 9 = 14
10, 9 = 15
10 = 16 10 = 16
11 = 17 11 = 17
12, 11 = 18
12 = 19 12 = 19
13, 12 = 20
13 = 21 14, 13 = 21
14 = 22
14 = 23 14 = 23
15 = 24 15 = 24
Standard Cipher
Major scale only All intervals
Standard Cipher
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6 Blumbergs Music Theory Cipher www.TheCipher.com
Intervals
Interval Number-Name Translation Tables
Table Four
: Octave Equivalents. Associating simple and compound intervals. First-octaveand equivalent second-octave number-names of tones, standard and Cipher,(Major scale intervals only).
Figure 1-4
1st 2nd 3rd 4th 5th 6th 7th 8th| | | | | | | |
8th 9th 10th 11th 12th 13th 14th 15th
Major scale First Octave
Major scale Second Octave
Standard (plus or minus 7)
Octave equivalents(Major scale only)
0 2 4 5 7 9 11 12| | | | | | | |
12 14 16 17 19 21 23 24
Major scale First Octave
Major scale Second Octave
Cipher (plus or minus 12)
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 7
Scales
Scale Formula Translation Tables
Table One
: The Major and three minor scales. Standard scale-formula to Cipher (or chro-matic) equivalents. Scales are spelled in parallel
from a C tonic.
Figure 1-5
C, C/D, D, D/E, E, F, F/G, G, G/A, A, A/B, B, C
0 1 2 3 4 5 6 7 8 9 10 11 12
C chromatic scale reference
C D E F G A B C
1 - 1 - - 1 - 1 - 1 -
1 2 3 4 5 6 7 8
0 2 4 5 7 9 11 12
Major Scale
spelling
whole-steps
standard numbers
chromatic numbers Cipher
C D E F G A B C
1 - - 1 - 1 - - 1 - 1
1 2 3 4 5 6 7 8
0 2 3 5 7 8 10 12
Natural minor
spelling
whole-steps
Cipher
C D E F G A B C
1 - - 1 - 1 - - 1 -
1 2 3 4 5 6 7 8
0 2 3 5 7 8 11 12
spelling
whole-steps
Cipher
C D E F G A B C
1 - - 1 - 1 - 1 - 1 -
1 2 3 4 5 6 7 8
0 2 3 5 7 9 11 12
spelling
whole-steps
Cipher
Harmonic minor
* Melodic minor
The Major and three minor scales
Note, the melodic minor in the descending directionreverts to natural minor.
*
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Scales
Scale Formula Translation Tables
Table Two
: Modal scales; the modes of Major (ecclesiastic or medieval church modes).Standard scale-formula to Cipher (or chromatic) equivalents.
Figure 1-6
1 2 3 4 5 6 7 8
0 2 4 5 7 9 11 12
Ionian
Cipher
Modes of Major
(Major)
1 2 3 4 5 6 7 8
0 2 3 5 7 9 10 12
Dorian
Cipher
1 2 3 4 5 6 7 8
0 1 3 5 7 8 10 12
Phrygian
Cipher
1 2 3 4 5 6 7 8
0 2 4 6 7 9 11 12
Lydian
Cipher
1 2 3 4 5 6 7 8
0 2 4 5 7 9 10 12
Mixolydian
Cipher
1 2 3 4 5 6 7 8
0 2 3 5 7 8 10 12
Aeolian
Cipher
1 2 3 4 5 6 7 8
0 1 3 5 6 8 10 12
Locrian
Cipher
(Nat minor)
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 11
Chords
Chord Formula Translation Tables
Table Two
: Chords grouped by size
. Standard root-position chord-formula to Cipher (orchromatic) equivalents. Not exhaustive, few altered chords, etc.
Figure 1-9
Major Triad R 3 5 0 - 4 - 7
Minor Triad R 3 5 0 - 3 - 7
Augmented Triad R 3 5 0 - 4 - 8
Diminished Triad R 3 5 0 - 3 - 6
Major Suspended R 4 5 0 - 5 - 7
Major Sixth R 3 5 6 0 - 4 - 7 - 9
Minor Sixth R 3 5 6 0 - 3 - 7 - 9
Major Seventh R 3 5 7 0 - 4 - 7 - 11
Minor Seventh R 3 5 7 0 - 3 - 7 - 10
Dominant Seventh R 3 5 7 0 - 4 - 7 - 10
Augmented Seventh R 3 5 7 0 - 4 - 8 - 10
Half-Dim Seventh R 3 5 7 0 - 3 - 6 - 10
Diminished Seventh R 3 5 7 0 - 3 - 6 - 9
Min./Maj. Seventh R 3 5 7 0 - 3 - 7 - 11
Dom. 7th Suspended R 4 5 7 0 - 5 - 7 - 10
Major Ninth R 3 5 7 9 0 - 4 - 7 - 11 - 14
Minor Ninth R 3 5 7 9 0 - 3 - 7 - 10 - 14
Dominant Ninth R 3 5 7 9 0 - 4 - 7 - 10 - 14
Major 6/9 R 3 5 6 9 0 - 4 - 7 - 9 - 14
Minor 6/9 R 3 5 6 9 0 - 3 - 7 - 9 - 14
Major Eleventh R 3 5 7 9 11 0 - 4 - 7 - 11 - 14 - 17
Minor Eleventh R 3 5 7 9 11 0 - 3 - 7 - 10 - 14 - 17
Dominant Eleventh R 3 5 7 9 11 0 - 4 - 7 - 10 - 14 - 17
Major Thirteenth R 3 5 7 9 11 13 0 - 4 - 7 - 11 - 14 - 17 - 21
Minor Thirteenth R 3 5 7 9 11 13 0 - 3 - 7 - 10 - 14 - 17 - 21
Dominant Thirteenth R 3 5 7 9 11 13 0 - 4 - 7 - 10 - 14 - 17 - 21
Chord Name Standard FormulaCipher Formula
R 3rd 5th 6 or 7 9th 11th 13th
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12 Blumbergs Music Theory Cipher www.TheCipher.com
Figure 1-10
C
D
min2
aug1
CP1st
D
E
F
G
A
B
C
M2
M3
P4
P5
M6
M7
P8
D
E
min
3
aug
2
F G
dim5
aug4
G
A
min6
aug5
A
B
min7
aug6
dim6
A
dim7
B
C
C
oneoctave
(twelvehalf-steps)
D
min9
D
E
F
G
A
B
C
M9
M1
0P11
P12
M13
M1
4P15
D
E
min1
0
aug9
F G
dim12
aug11
G
A
min13
aug12
A
B
min14
aug13
C
oneoctave
(twelvehalf-steps)
Compoundintervals
secondoctave
Summaryofintervalnumber-namestwooctav
es,simpleandcompound
(alldegre
es:Majorandchromatic)
Note;som
elesscommonenharmonicintervaln
amesare
omittedfromt
hischart,e.g.
dim2
nd,
dim3
rd,aug3rd.
min=minor
aug=augmented
dim=diminish
ed
M=
Major
P=perfect
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
chromaticnumbers024added
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 13
Master Chart Summary Table One The Cipher
The Cipher Systems user-friendliness results from extricating music theory from the staff
and standard notation. The Master Charts further that operation. The Master Charts are the
Cipher Systems comprehensive
number-formula translation tables. There the eight total Mas-
ter Charts in the book. The following two-plate chart is one of two summary
charts.
The Master Charts are a catalogue of number formula, both standard and Cipher. They
contain diatonic to chromatic number translations of all basic harmony-in-thirds
(chord for-
mula) taken directly from the staff, plus all indigenous modes (scales) of all degrees of the four
primary scales. Charts are included for the Major and three variations of Minor scales (Natu-ral, Harmonic, and Melodic), using both standard (diatonic) and chromatic (Cipher) num-
bers. The Master Charts reveal all of the stock harmonies and formula natural to all scale
degrees of those scales
From every scale degree of each of the four scales covered, youll find formula numbers
corresponding to (and up through) the seven-tone thirteenth chord that stacks naturally (in
thirds) above those degrees. Each thirteenth chord contains within it all other smaller chords
natural to the given degree. That is, each thirteenth chord (also) contains the triad, seventh,
ninth, and eleventh chord, natural to the degree. So the Master Charts are indeed exhaustive
as far as the stock, unaltered, natural materials of (tercian) Western music theory go.
The Master Charts are a literal Rosetta Stone
, an alpha-numeric translation of ancient
musical formula rendered in two languages side by side, one of which nearly everyone on
earth can understand, counting numbers. It might sound silly, but if some cataclysmic event
ever befalls the earth (and it will someday), leaving only a small global population and few if
any people who can read music, the kernel of Western musical heritage might survive at least.
But wed still have to write it in stone
somewhere, and have a copy off worldto be safe. ;)
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14 Blumbergs Music Theory Cipher www.TheCipher.com
Figure 1-11
The Cipher Summary Master Chart One diatonic numbers
Natural Chords and Arpeggios Indigenous Modes
Major
Melodic minor
Harmonic minor
Natural minor
Major
Melodic minor
Harmonic minor
Natural minor
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
RT
R
R
R
R
R
R
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
9 11
11
13
13
13
13
5 9 11 13
5 9
9
11
3 5 7 9 13
3 5 9 11 13
11
5 9 11
R 3 5 7 9 11 13I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
9 11
11
13
13
13
13
5 9 11 1 3
5 9
9
11
3 5 7 9 13
3 5 9 11 13
11
5 9 11
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
9 11
11
13
13
13
13
5 9 11 13
5 9
9
11
3 5 7 9 13
3 5 9 11 13
11
5 9 11
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
9 11
11
13
13
13
13
5 9 11 13
5 9
9
11
3 5 7 9 13
3 5 9 11 13
11
5 9 11
T 2 3 4 5 6 7
I
II
III
IV
V
VI
VII
1T
1
1
1
1
1
1
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
2 4
4
6
6
6
6
52 4 6
52
2
4
3 5 72 6
3 52 4 6
4
52 4
I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
2 4
4
6
6
6
6
52 4 6
52
2
4
3 5 72 6
3 52 4 6
4
52 4
I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
2 4
4
6
6
6
6
52 4 6
52
2
4
3 5 72 6
3 52 4 6
4
52 4
I
II
III
IV
V
VI
VII
T
3
3
3
3
3
3
2
5
5
5
4
7
7
7
7
7
7
7
6
2 4
4
6
6
6
6
52 4 6
52
2
4
3 5 72 6
3 52 4 6
4
52 4
T 2 3 4 5 6 7
T 2 3 4 5 6 7
T 2 3 4 5 6 7
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
8
8
8
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 15
Figure 1-12
Natural Chords and Arpeggios Indigenous Modes
Major
Melodic minor
Harmonic minor
Natural minor
Major
Melodic minor
Harmonic minor
Natural minor
The Cipher Summary Master Chart One chromatic numbers
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
3
3
3
4
6
7
10
10
10
10
10
11 14 17
18
20
20
20
21
7 14 17 21
7 13
13
17
4 7 11 14 21
4 7 14 17 21
17
7 14 17
0
2
4
5
7
9
11
R 3 5 7 9 11 13I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
4
4
3
3
4
7
8
10
10
11
10
10
11 14 18
17
20
21
21
21
7 14 18 21
7 14
13
17
3 6 10 14 20
3 6 13 16 20
17
7 14 170
2
3
5
7
9
11
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
4
3
3
4
6
8
10
9
11
10
10
11 14 17
18
20
20
21
21
7 14 18 21
7 13
13
17
4 7 11 15 21
3 6 13 16 20
17
7 14 170
2
3
5
7
8
11
R 3 5 7 9 11 13
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
3
3
3
4
6
7
10
10
10
10
10
11 14 17
18
20
20
20
21
7 14 17 21
7 13
13
17
4 7 11 14 21
4 7 14 17 21
17
7
14
17
0
2
3
5
7
8
10
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
3
3
3
4
6
7
10
10
10
10
10
112 5
6
8
8
8
9
72 5 9
71
1
5
4 7 112 9
4 72 5 9
5
72 5
0
2
4
5
7
9
11
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
4
4
3
3
4
7
8
10
10
11
10
10
112 6
5
8
9
9
9
72 6 9
72
1
5
3 6 102 8
3 61 4 8
5
72 50
2
3
5
7
9
11
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
4
3
3
4
6
8
10
9
11
10
10
112 5
6
8
8
9
9
72 6 9
71
1
5
4 7 113 9
3 61 4 8
5
72 50
2
3
5
7
8
11
I
II
III
IV
V
VI
VII
0
0
0
0
0
0
0
3
3
3
3
4
6
7
10
10
10
10
10
112 5
6
8
8
8
9
72 5 9
71
1
5
4 7 112 9
4 72 5 9
5
7
2
5
0
2
3
5
7
8
10
T 2 3 4 5 6 7
T 2 3 4 5 6 7
T 2 3 4 5 6 7
T 2 3 4 5 6 7
8
8
8
8
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
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16 Blumbergs Music Theory Cipher www.TheCipher.com
Universal Speller-Transposer The Cipher
The Ciphers Universal Speller-Transposer is meant to help you do two separate things,
spell and transpose:
Take any number formula (standard or Cipher) for any interval, scale, or chord, and you'll
be able to find the correct letter-spelling for it in any key (i.e. from any tonic or root).
or you can transpose (change) the letter spelling of any musical material from one key,
tonic, or root, to another.
The Speller-Transposer works even if you ignore the chromatic numbers, (the Cipher spe-
cific content) and use only standard diatonic formula numbers.
At first glance the Speller-Transposer might make your head spin a bit. Its not a pretty
sight as they say. But I didnt create that spelling system. Thats how it is. Hopefully though,
youll get a feel for it after a few minutes of explanation. Youll probably only need it on occa-
sion. [Note; the book contains explanatory text and illustrations.]
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Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 17
Figure 1-13
2
2
9
9
4
0
A
35 711
411
I IVII III V
A
B
B
C
C
D
D
B
C
1 2 3 4 5 6 7 8 9 10 11 12
A
A
A
B
B
B
B
BB
B
C DD
D
D
C
C
C
C CB
F
G
C
C
C
C
C
B
B
C
C
C
B
D
D
F
GFE E
E
E
E
D
E
F
FE
F
E
E
F
G
G
E
F
G
G
G
E F
GF
GF
G
G
G
FA
A
G
FD
F
F
F
E
E
E
FE
E
D
D
F
F
E
E
E
E
E
D
D
D
E
E F
G A B
AA
B
GA
GF
G
G
G
F
FE
A
A
A
G
B
AB
B
C
AA
G
G
G
F
A
F
G
D
D
D
D
DD
C
C
E
E
D
ED
D
D
B A
A
B
B
C
A A
B
C
B
CA
A
G
G
G
AC
Tonics/Rootsor Keys A
A
B
B
C
C
D
D
B
C
VI VII I
76
138
1st or 1st
scale degreesChromatic (Cipher)
2
3 5
59411
13
6 7
T/Rscale degreesDiatonic (or Major)
(standardnumbers)
Universal Speller/Transposer The Cipher
D
E
F
G
F
G
G
E
E
F
A
A
A
B
B
C
DC
D
G
B
B
A
A
C
C
BC
BC
C
D
E
E
FE
E
E
D
E
D
E
D F
E
F
G
F
E
F
F
E
F
G
G
G
F
G
G
F
F E
F
G
D
E
E
E
E
F
G
G
F
F
F
F G
E
D
EE
E
C
C
D
CD
B
CCD
A
A
G
BA
B
AA
GG
F
A
AA
G
BA
B
GA
GF
G
GG
G
F
F
E
A
B
BC
B
B
C
A
BB
C
A
AA
G
BA
BB
B
B
C
F
F
E
E
FG
D
D
B
D
D
C
C
CD
E FD D
C
CD
B
CC
D
CD
D
ED
D
C
ED
D
B
A
C
B
CA
B
A
B
C
A
A
F
F
E
F
G
G
G
A
G
A
A
C
D
D
D
A
-
8/13/2019 Cipher Formula
18/18
18 Blumbergs Music Theory Cipher www.TheCipher.com
Triads of Major Data
Figure 1-14
========t
C Maj /A min
Key signature
(no 's or 's)
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Triads of Major
I ii iii IV V iv vii I
C D E F G A B C
Maj min Majmin Maj min dim
I = C, E, G . . . Major . . . . R 3 5 0 4 7
ii = D, F, A . . . minor . . . . R 3 5 0 3 7
iii = E, G, B . . . minor . . . . R 3 5 0 3 7
IV = F, A, C . . . Major. . . . . R 3 5 0 4 7
V = G, B, D . . . Major . . . . R 3 5 0 4 7
vi = A, C, E . . . minor . . . . R 3 5 0 3 7
vii = B, D, F . . . diminished . R 3 5 0 3 6
I = C, E, G . . . Major . . . . R 3 5 0 4 7
Maj
0
2
4
5
7
9
11
12
C Major
0 2 4 5 7 9 11 12