Frap Tools CGM - Page 66

Rev. 5 – Jun 2020 Page 66 of 91
Table 23: 24-EDO and other 24-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
22
23
cents
0
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
900
950
1000
1050
1100
1150
description
t/oct
display
Chromatic
24
Chroma
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Enharmonic Mixolydian
7
en Mixo
1
1
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
Enharmonic Lydian
7
en Lydi
1
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
Enharmonic Phrygian
7
en Phry
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
Enharmonic Dorian
7
en Dori
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
Enharmonic Hypolydian
7
enhLydi
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
1
Enharmonic Hypophrygian
7
enhPhry
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
1
1
Enharmonic Hypodorian
7
enhDori
1
0
0
0
1
1
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
Soft Diatonic Mixolydian
7
sd Mixo
1
0
1
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
Soft Diatonic Lydian
7
sd Lydi
1
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
0
Soft Diatonic Phrygian
7
sd Phry
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
Soft Diatonic Dorian
7
sd Dori
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
Soft Diatonic Hypolydian
7
sdhLidi
1
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
Soft Diatonic Hypophrygian
7
sdhPhry
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
1
0
0
Soft Diatonic Hypodorian
7
sdhDori
1
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
Neutral Diatonic Mixolydian, Maqam Ouchairan-Hussaini, Bayatan
7
nd Mixo
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
Neutral Diatonic Lydian, Dastgah-e Sehgah
7
nd Lydi
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
Neutral Diatonic Phrygian, Arabic Diatonic, Maqam Rast, Quasi-equal Hep-
tatonic
7
nd Phry
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
Neutral Diatonic Dorian, Maqam Hussaini, Ushaq
7
nd Dori
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
Neutral Diatonic Hypolydian, Maqam Sikah (Segah)
7
ndhLidy
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
Neutral Diatonic Hypophrygian
7
ndhPhry
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
Neutral Diatonic Hypodorian, Miha'il Musaqa's mode: Egypt, Dastgah-e
Sehgah, Maqam Nairuz
7
ndhDori
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
Diatonic + Enharmonic Diesis Mixolydian
7
dd Mixo
1
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
Diatonic + Enharmonic Diesis Lydian
7
dd Lydi
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
Diatonic + Enharmonic Diesis Phrygian
7
dd Phry
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
Diatonic + Enharmonic Diesis Dorian
7
dd Dori
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
Diatonic + Enharmonic Diesis Hypolydian
7
ddhLidy
1
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
Diatonic + Enharmonic Diesis Hypophrygian
7
ddhPhry
1
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
Diatonic + Enharmonic Diesis Hypodorian
7
ddhDori
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
Chromatic/Enharmonic Mixolydian
7
ce Mixo
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
Chromatic/Enharmonic Lydian
7
ce Lydi
1
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
1
Chromatic/Enharmonic Phrygian
7
ce Phry
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
Chromatic/Enharmonic Dorian
7
ce Dori
1
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
Chromatic/Enharmonic Hypolydian
7
cehLydi
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
1
Chromatic/Enharmonic Hypophrygian
7
cehPhry
1
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
0
0
Chromatic/Enharmonic Hypodorian
7
cehDori
1
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
Neutral Mixolydian, Iced Blizzard
7
ne Mixo
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
Neutral Lydian, Iced Major
7
ne Lydi
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
Neutral Phrygian, Iced Locrian
7
ne Phry
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
Neutral Dorian, Iced Fridgian, Misaelides 2nd Byzantine mode, Maqam Sikah
Baladi, Maqamic-7
7
ne Dori
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
Neutral Hypolydian, Iced Lydian, Mohajira-7
7
nehLydi
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
Neutral Hypophrygian, Iced Mixolydian
7
nehPhry
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
Neutral Hypodorian, Iced Dark Lydian
7
nehDori
1
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
Ratio 1:2 Hemiolic Chromatic Mixolydian
7
rh Mixo
1
1
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
Ratio 1:2 Hemiolic Chromatic Lydian
7
rh Lydi
1
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
1
Ratio 1:2 Hemiolic Chromatic Phrygian
7
rh Phry
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
Ratio 1:2 Hemiolic Chromatic Dorian
7
rh Dori
1
1
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
Ratio 1:2 Hemiolic Chromatic Hypolydian
7
rhhLydi
1
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
Ratio 1:2 Hemiolic Chromatic Hypophrygian
7
rhhPhry
1
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
1
0
Ratio 1:2 Hemiolic Chromatic Hypodorian
7
rhhDori
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
Anchihoye: Ethiopia
5
Ethiopi
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
Spondeion
5
Spondei
1
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
Godzilla-5
5
Godzill
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
Quasi-equal Pentatonic, Semaphore-5
5
quasiPe
1
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
de Vries 5-tone
5
deVrie5
1
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
1
0
Spondeiakos
6
Spondko
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
Maqam Nawa
7
mq Nawa
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
Second plagal Byzantine Liturgical mode
7
Liturgi
1
0
1
0
0
0
0
0
0
1
1
0
0
0
1
0
1
0
0
0
0
0
0
1
Maqam Higaz-kar
7
mqHigaz
1
0
1
0
0
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
7
mqUshsh
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
Maqam Nahfat
7
mqNahfa
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
Maqam Saba
7
mq Saba
1
0
0
1
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
Maqam Sabr Jadid
7
mqSabrJ
1
0
0
1
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
Maqam Qarjighar, Bayati Shuri
7
mqQarji
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
Maqam Hizam (Huzzam, El Houzam), Rahat al Arouah
7
mqHizam
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
7
mqSu’ar
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
Dastgah-e Homayun
7
DastHom
1
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
Dastgah-e Chahargah, Athanasopoulos' Byzantine Liturgical Chromatic,
7
DastCha
1
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
Maqam 'Awg 'ara (Aug-ara)
7
mqAwgAr
1
0
0
1
0
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
0
1
Maqam Buselik
7
mqBusel
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
Dastgah-e Nava, Maqam Ushaq Masri
7
DastNav
1
0
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
Naghmeh Esfahan
7
Naghmeh
1
0
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
Maqam Neuter
7
mqNeute
1
0
0
0
1
0
1
0
0
0
0
0
1
0
1
0
1
0
0
0
0
1
0
0
Maqam Suznak (Soznak)
7
mqSuzna
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
Dance scale of Yi people: China
7
YiPeopl
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
Maqam Mahur
7
mqMahur
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0