Frap Tools CGM - Scale Tables

Rev. 5 – Jun 2020 Page 61 of 91
12 SCALE TABLES
Table 19: 12-EDO and other 12-tone-per-octave temperaments.
tone
0
1
2
3
4
5
6
7
8
9
10
11
cents
0
100
200
300
400
500
600
700
800
900
1000
1100
description
t/oct
display
Chromatic
12
Chroma
1
1
1
1
1
1
1
1
1
1
1
1
Major Pentatonic 1
5
5 Maj 1
1
0
1
0
1
0
0
1
0
1
0
0
Minor Pentatonic 2
5
5 Min 2
1
0
1
0
0
1
0
1
0
0
1
0
Minor Pentatonic 3
5
5 Min 3
1
0
0
1
0
1
0
0
1
0
1
0
Major Pentatonic 2
5
5 Maj 2
1
0
1
0
0
1
0
1
0
1
0
0
Minor Pentatonic 1
5
5 Min 1
1
0
0
1
0
1
0
1
0
0
1
0
Dominant Pentatonic
5
5 Domin
1
0
1
0
1
0
0
1
0
0
1
0
Whole Tone
6
6 Whole
1
0
1
0
1
0
1
0
1
0
1
0
Augmented
6
6 Augmt
1
0
0
1
1
0
0
1
1
0
0
1
Prometheus
6
6 Mystc
1
0
1
0
1
0
1
0
0
1
1
0
Hexatonic Blues
6
6 Blues
1
0
0
1
0
1
1
1
0
0
1
0
Ionian
7
Ionian
1
0
1
0
1
1
0
1
0
1
0
1
Dorian
7
Dorian
1
0
1
1
0
1
0
1
0
1
1
0
Phrygian
7
Phrygia
1
1
0
1
0
1
0
1
1
0
1
0
Lydian
7
Lydian
1
0
1
0
1
0
1
1
0
1
0
1
MixoLydian
7
Mixo
1
0
1
0
1
1
0
1
0
1
1
0
Aeolian
7
Aeolian
1
0
1
1
0
1
0
1
1
0
1
0
Locrian
7
Locrian
1
1
0
1
0
1
1
0
1
0
1
0
Harmonic Minor − Aeolian #7, m Harmonic Modes
7
mHarmon
1
0
1
1
0
1
0
1
1
0
0
1
Locrian #6
7
Locri#6
1
1
0
1
0
1
1
0
0
1
1
0
Ionian #5
7
Ionia#5
1
0
1
0
1
1
0
0
1
1
0
1
Dorian #4
7
Doria#4
1
0
1
1
0
0
1
1
0
1
1
0
Phrygian Dominant
7
PhryDom
1
1
0
0
1
1
0
1
1
0
1
0
Lydian #2
7
Lydia#2
1
0
0
1
1
0
1
1
0
1
0
1
Ultralocrian
7
uLocria
1
1
0
1
1
0
1
0
1
1
0
0
Melodic Minor, Jazz Minor
7
mMelodi
1
0
1
1
0
1
0
1
0
1
0
1
Dorian b9
7
Doriab9
1
1
0
1
0
1
0
1
0
1
1
0
Lydian Augmented
7
LydiAug
1
0
1
0
1
0
1
0
1
1
0
1
Lydian Dominant
7
LydiDom
1
0
1
0
1
0
1
1
0
1
1
0
Mixolydian b6
7
Mixo b6
1
0
1
0
1
1
0
1
1
0
1
0
Semilocrian, Aeolian b5
7
sLocria
1
0
1
1
0
1
1
0
1
0
1
0
Superlocrian
7
SuLocri
1
1
0
1
1
0
1
0
1
0
1
0
Double Harmonic Major
7
dHarmMa
1
1
0
0
1
1
0
1
1
0
0
1
Lydian #2 #6
7
Lyd#2#6
1
0
0
1
1
0
1
1
0
0
1
1
UltraPhrygian, Ultralocrian natural 5
7
uPhrygi
1
1
0
1
1
0
0
1
1
1
0
0
Double Harmonic Minor, Hungarian Minor
7
dHarmMi
1
0
1
1
0
0
1
1
1
0
0
1
Mixolydian b2 b5, Oriental
7
Mixb2b5
1
1
0
0
1
1
1
0
0
1
1
0
Ionian Augmented #2
7
IoAug#2
1
0
0
1
1
1
0
0
1
1
0
1
Locrian bb3 bb7
7
Locbb37
1
1
1
0
0
1
1
0
1
1
0
0
Hungarian Major
7
Hungari
1
0
0
1
1
0
1
1
0
1
1
0
Superlocrian bb6 bb7
7
SuLbb67
1
1
0
1
1
0
1
1
0
1
0
0
Harmonic Minor b5
7
mHarmb5
1
0
1
1
0
1
1
0
1
0
0
1
Superlocrian #6
7
SuLoc#6
1
1
0
1
1
0
1
0
0
1
1
0
Melodic Minor #5, Jazz Minor #5
7
mMelo#5
1
0
1
1
0
1
0
0
1
1
0
1
Dorian b9 #11
7
Dor#4b9
1
1
0
1
0
0
1
1
0
1
1
0
Lydian Augmented #3
7
LydAu#3
1
0
1
0
0
1
1
0
1
1
0
1
Harmonic Major, Ionian b6
7
MHarmon
1
0
1
0
1
1
0
1
1
0
0
1
Dorian b5
7
Doriab5
1
0
1
1
0
1
1
0
0
1
1
0
Phrygian b4
7
Phrygb4
1
1
0
1
1
0
0
1
1
0
1
0
Lydian b3
7
Lydiab3
1
0
1
1
0
0
1
1
0
1
0
1
Mixolydian b9
7
Mixo b9
1
1
0
0
1
1
0
1
0
1
1
0
Lydian Augmented #2
7
LydAu#2
1
0
0
1
1
0
1
0
1
1
0
1
Locrian bb7
7
Loc bb7
1
1
0
1
0
1
1
0
1
1
0
0
Neapolitan Major
7
MNeapol
1
1
0
1
0
1
0
1
0
1
0
1
Leading Whole-Tone
7
LeaWhol
1
0
1
0
1
0
1
0
1
0
1
1
Lydian Augmented Dominant
7
LydAuDo
1
0
1
0
1
0
1
0
1
1
1
0
Lydian Dominant b6
7
LydDob6
1
0
1
0
1
0
1
1
1
0
1
0
Major Locrian
7
MLocria
1
0
1
0
1
1
1
0
1
0
1
0
Semilocrian b4
7
sLoc b4
1
0
1
1
1
0
1
0
1
0
1
0
Superlocrian bb3
7
SuLobb3
1
1
1
0
1
0
1
0
1
0
1
0
Neapolitan Minor
7
mNeapol
1
1
0
1
0
1
0
1
1
0
0
1
Lydian #6
7
Lydia#6
1
0
1
0
1
0
1
1
0
0
1
1
Mixolydian Augmented
7
MixoAug
1
0
1
0
1
1
0
0
1
1
1
0
Aeolian #4, Hungarian Gipsy
7
Aeoli#4
1
0
1
1
0
0
1
1
1
0
1
0
Locrian Dominant
7
Loc Dom
1
1
0
0
1
1
1
0
1
0
1
0
Ionian #2
7
Ionia#2
1
0
0
1
1
1
0
1
0
1
0
1
Ultralocrian bb3
7
uLocbb3
1
1
1
0
1
0
1
0
1
1
0
0
Chromatic Hypolydian
7
hc Lydi
1
1
0
0
1
0
1
1
1
0
0
1