Modes Harmonies
+3 +2 +1 0 -1 -2 -3
M:3 M:2 M:1 M:7 M:6 M:5 M:4 3 (Quartral)
M:4 M:3 M:2 M:1 M:7 M:6 M:5 4 (Quintal)
M:2 M:1 M:7 M:6 M:5 M:4 M:3 2 (tertian)
M:5 M:4 M:3 M:2 M:1 M:7 M:6 5 (Sextal)
M:1 M:7 M:6 M:5 M:4 M:3 M:2 1 (Secondal)
M:6 M:5 M:4 M:3 M:2 M:1 M:7 6 (Septal)
Focal Modes Focal Harmony
M:7 M:6 M:5 M:4 M:3 M:2 M:1 0 (Octal)
Modes Harmonies
+3 +2 +1 0 -1 -2 -3
M:3 M:2 M:1 M:7 M:6 M:5 M:4 4 (Quintal)
M:4 M:3 M:2 M:1 M:7 M:6 M:5 3 (Quartral)
M:2 M:1 M:7 M:6 M:5 M:4 M:3 5 (Sextal)
M:5 M:4 M:3 M:2 M:1 M:7 M:6 2 (tertian)
M:1 M:7 M:6 M:5 M:4 M:3 M:2 6 (Septal)
M:6 M:5 M:4 M:3 M:2 M:1 M:7 1 (Secondal)
Focal Modes Focal Harmony
M:7 M:6 M:5 M:4 M:3 M:2 M:1 0 (Octal)
Chord Modes Possibilities
0 61 52 43
1 02 63 54
2 13 04 65
3 24 15 06
4 35 26 10
5 46 30 21
6 50 41 32
Chord Modes Possibilities
0 016 025 034 124 356
1 012 046 136 145 235
2 015 024 123 256 346
3 036 045 126 135 234
4 014 023 156 246 345
5 026 035 125 134 456
6 013 056 146 236 245
Chord Modes Possibilities
0 0124 0356 1256 1346 2345
1 0146 0236 0245 1235 3456
2 0125 0134 0456 1356 2346
3 0156 0246 0345 1236 1245
4 0126 0135 0234 1456 2356
5 0123 0256 0346 1246 1345
6 0136 0145 0235 1234 2456
Chord Modes Possibilities
0 02345 01346 01256
1 13456 01245 01236
2 02456 12356 01234
3 01356 02346 12345
4 01246 01345 23456
5 01235 12456 03456
6 12346 02356 01456
Use Mode not selected for Chord Modes
Bi-Table
0) 6|1 5|2 4|3
1) 0|2 6|3 5|4
2) 1|3 0|4 6|5
3) 2|4 1|5 0|6
4) 3|5 2|6 1|0
5) 4|6 3|0 2|1
6) 5|0 4|1 3|2
Tri-Formula
a +b +c =w -[cm7] =x *2 =y -[cm7] =z then 7 -z =Mode or Chord
Where cm7 = Closest multiple of 7.
Quad-Formula Apply the Tri-Formula on the three numbers not used.Quint-Formula
Apply the Bi-Formula on the two numbers not used.Sext-Formula
Apply the number not used.
Two Split
Category Totals
0 0, 7
1 2, 9
2 4, 11
3 6
4 1, 8
5 3, 10
6 5, 12
Three Split
Category Totals
0 0, 7, 14
1 3, 10 ,17
2 6, 13
3 2, 9, 16
4 5, 12
5 1, 8, 15
6 4, 11, 18
Four Split
Category Totals
0 0, 7, 14, 21
1 4, 11, 18
2 1, 8, 15, 22
3 5, 12, 19
4 2, 9, 16, 23
5 6, 12, 20
6 3, 10, 17, 24
Five Split
Category Totals
0 0, 7, 14, 21, 28
1 5, 12, 19, 26
2 3, 10, 17, 24
3 1, 8, 15, 22, 29
4 6, 13, 20, 27
5 4, 11, 18, 25
6 2, 9, 16, 23, 30
Six Split
Category Totals
0 0, 7, 14, 21, 28, 35
1 6, 13, 20, 27, 34
2 5, 12, 19, 26, 33
3 4, 11, 18, 25, 32
4 3, 10, 17, 24, 31
5 2, 9, 16, 23, 30
6 1, 8, 15, 22, 29, 36
Table of Concordance/Discordance values:
Tonic +3
P 4th | P 5th +2
maj 3rd | aug 5th +1
min 3rd | 6th 0
maj 2nd | min 7th -1
min 2nd | maj 7th -2
dim 5th -3
Tables of Compared Tones
Compared Related overtones
Tones by value
Tonic to: maj 3rd to:
-------- -----------
Tonic +3 +3 maj 3rd +1 +3
min 2nd -2 -2 P 4th 0 -2
maj 2nd -1 -1 dim 5th -1 -1
min 3rd 0 0 P 5th -2 0
maj 3rd +1 +1 aug 5th +3 +1
P 4th +2 +2 6th -2 +2
dim 5th -3 -3 min 7th -1 -3
P 5th +2 +2 maj 7th 0 +2
aug 5th +1 +1
6th 0 0 P 4th to:
min 7th -1 -1 ---------
maj 7th -2 -2 P 4th -1 +3
dim 5th -2 -2
min 2nd to: P 5th +3 -1
----------- aug 5th -2 0
min 2nd -1 +3 6th -1 +1
maj 2nd 0 -2 min 7th 0 +2
min 3rd +1 -1 maj 7th +1 -3
maj 3rd +2 0
P 4th -3 +1 dim 5th to:
dim 5th +2 +2 -----------
P 5th +1 -3 dim 5th +3 +3
aug 5th 0 +2 P 5th -2 -2
6th -1 +1 aug 5th -1 -1
min 7th -2 0 6th 0 0
maj 7th +3 -1 min 7th +1 +1
maj 7th +2 +2
maj 2nd to:
----------- P 5th to:
maj 2nd +1 +3 ---------
min 3rd +2 -2 P 5th -1 +3
maj 3rd -3 -1 aug 5th 0 -2
P 4th +2 0 6th +1 -1
dim 5th +1 +1 min 7th +2 0
p 5th 0 +2 maj 7th -3 +1
aug 5th -1 -3
6th -2 +2 aug 5th to:
min 7th +3 +1 -----------
maj 7th -2 0 aug 5th +1 +3
6th +2 -2
min 3rd to: min 7th -3 -1
----------- maj 7th +2 0
min 3rd -3 +3
maj 3rd +2 -2 6th to:
P 4th +1 -1 -------
dim 5th 0 0 6th -3 +3
p 5th -1 +1 min 7th +2 -2
aug 5th -2 +2 maj 7th +1 -1
6th +3 -3
min 7th -2 +2 min 7th to:
maj 7th -1 +1 -----------
min 7th +1 +3
maj 7th 0 -2
maj 7th to:
-----------
maj 7th -1 +3
0) 6|1 5|2 4|3
1) 0|2 6|3 5|4
2) 1|3 0|4 6|5
3) 2|4 1|5 0|6
4) 3|5 2|6 1|0
5) 4|6 3|0 2|1
6) 5|0 4|1 3|2
Tri-Formula
a +b +c =w -[cm7] =x *2 =y -[cm7] =z then 7 -z =Mode or Chord
Where cm7 = Closest multiple of 7.
Quad-Formula
Separate the four numbers into pairs and apply the bi-table to
each and once again the bi-table to their results.
Quint-Formula
Separate the five into two groups, one having 3 and the other 2,
apply the tri-formula on the 3 and the bi-table on the 2. The result of
the 3 group = A and the result of the pair = B, obtaining AAA|BB. Then
shuffle this and dividing the two groups apart, making BAA|AB. Apply the
formula and the table again. Take the original and the latter results and
use the bi-table to each, then once more to that result.
Sext-Formula
Separate the six numbers into threes and apply the tri-formula to
each and then apply the bi-table to their results.