Frap Tools CGM - Page 64

Rev. 5 – Jun 2020 Page 64 of 91
Table 22: 22-EDO and other 22-tone-per-octave temperaments.
tone
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
cents
0,0
54,5
109,1
163,6
218,2
272,7
327,3
381,8
436,4
490,9
545,5
600,0
654,5
709,1
763,6
818,2
872,7
927,3
981,8
1036,4
1090,9
1145,5
description
t/oct
display
Chromatic
15
Chroma
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Twelve-tone Chromatic (1/3-comma positive)
12
12Chrom
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
0
0
1
22 tone Major
7
Major
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
1
22 tone Melodic Minor
7
mMelodi
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
22 tone Harmonic Minor
7
mHarmon
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
22 tone Harmonic Major
7
MHarmon
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
1
0
0
0
0
1
0
22 tone Astrology-10
10
Astrolo
1
0
0
1
1
0
0
1
0
0
1
1
0
0
1
1
0
0
1
0
0
1
22 tone Doublewide-10
10
DblWi10
1
1
0
0
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
0
0
1
22 tone Doublewide-14
14
DblWi14
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
1
22 tone Fleetwood-14
14
Fltwo14
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
22 tone Hedgehog-6
6
Hedge 6
1
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
0
22 tone Hedgehog-8
8
Hedge 8
1
0
1
0
0
1
0
0
1
0
0
1
0
1
0
0
1
0
0
1
0
0
22 tone Hedgehog-14
14
Hedge14
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
22 tone Jubilee-12
12
Jubil12
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
0
1
0
22 tone Pajara-12
12
Pajar12
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
0
22 tone Supra-5, Septimal Minor Pentatonic
5
Supra 5
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
22 tone Supra-7
7
Supra 7
1
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
22 tone Supra-12
12
Supra12
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
0
1
22 tone Urchin-14
14
Supra14
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
22 tone Wilson Pi-Meantone
12
WilsoPi
1
0
0
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
Ionian Porcupine
7
IoniaPo
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
0
1
0
0
Dorian Porcupine
7
DoriaPo
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
Aeolian Porcupine
7
AeoliPo
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
Major Porcupine
7
MajorPo
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
Major-Minor Porcupine
7
MajMiPo
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
1
0
0
0
1
0
0
Chameleon Porcupine
7
ChamePo
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
Symmetric Diminished Porcupine
7
SymDimP
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
1
0
0
Porcupine-15
15
Porcu15
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
Elevenplus
12
Eleven+
1
0
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
0
Hexachordal
12
Hexacho
1
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
Noll Pseudo-diatonic
13
NollPsD
1
0
1
0
1
1
0
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
Ballooning Rushes
7
Balloon
1
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
Crushed Oranges
8
CrushOr
1
1
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
0
1
1
0
0
Kathartic Parts
7
Kathart
1
0
1
1
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
0
Rivetting Reds
9
Rivetti
1
1
0
0
0
1
1
0
0
0
1
0
1
1
0
0
0
1
1
0
0
0
Rodentalia
9
Rodenta
1
0
0
0
1
1
0
0
1
1
0
0
0
1
1
0
0
1
1
0
0
0
Rezsutek’s Percussion Scale
9
Rezsute
1
0
1
0
0
1
0
1
0
0
1
0
1
0
0
1
0
1
0
0
1
0
22 tone Magic-7
7
Magic 7
1
0
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
0
0
0
0
1
22 tone Magic-10
10
Magic10
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
0
0
0
0
1
1
22 tone Magic-13
13
Magic13
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
22 tone Orwell-5
5
Orwel 5
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
22 tone Orwell-9
9
Orwel 9
1
0
0
1
0
1
0
0
1
0
1
0
0
1
0
1
0
0
1
0
1
0
22 tone Orwell-13
13
Orwel13
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
0
22 tone SuperPythagorean
12
SuPytha
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
0
22 tone Miller’s Porcupine-7 Major
7
MillMPo
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
22 tone Jones’s Porcupine-8
8
JonesPo
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
Alternate Proper Decatonic
10
AltProD
1
0
0
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
Exotic Symmetrical Decatonic
10
ExotSym
1
0
1
0
1
0
0
1
1
0
0
1
0
1
0
1
0
0
1
1
0
0
Standard Pentachordal Major
10
StaPenM
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
Static Symmetrical Major
10
StcSymM
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
Alternate Pentachordal Major
10
AltPenM
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
Dynamic Symmetrical Major
10
DynSynM
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
Static Symmetrical Minor
10
StaSymm
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
0
Alternate Pentachordal Minor
10
AltPenm
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
0
1
0
Dynamic Symmetrical Minor
10
DynSymm
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
0
Major quasi-equal Heptatonic
7
quHeptM
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
Minor quasi-equal Heptatonic, Miller's Porcupine-7
7
quHeptm
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
Harmonic Whole-Tone
6
HarmWho
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
Nine-Limit Consonant WholeTone
6
NineLim
1
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
22 tone Blues
6
22Blues
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
22 tone mode of Tamil Matra
7
TamilMa
1
0
0
0
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
Raga Kanakangi
7
raKanaK
1
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
Raga Ramkali
8
raRamka
1
1
0
0
0
0
0
1
0
1
1
0
0
1
1
0
0
0
0
0
1
0
Raga Kharaharapriya, Bhimpalasi
7
raKhara
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
Twenty-two tone Natural Minor, Darbari Kanada, Gandhaara Grama (Damo-
dara), Raga Darbari, Darbari Kanada
7
raDarba
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
Raga Vibhas (marva)
5
raVibha
1
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
Raga Saveri
5
raSaver
1
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
Raga Deskar
5
raDeska
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0