samedi 2 octobre 2010

List of musical modes

Belongs to program Scala, see command MODE. Created by Manuel Op de Coul.
Number of modes: 1202 Maximum number of notes: 14
The numbers represent the number of scale degrees between consecutive tones of the mode, starting from the tonic. So for 12-tone modes they are semitones, for 24-tone modes quartertones, etc., but for unequal parent scales just the former. This list only specifies which notes are used in a mode, raga, maqam, etc. ignoring all other aspects. This list also ignores varieties that may exist of given modes in different regions of a culture.
A number between [] indicates another starting note than the implicit degree 0.
The Meantone chromatic scales (negative systems), Twelve-tone chromatic scales (positive systems) and their major and minor modes are of the 3-limit Pythagorean kind. The scales marked with Just are approximations to 5-limit just scales, as well as the natural, melodic and harmonic minor scales. Where names are prepended by G. it is a Greek mode, and M. indicates a medieval (ecclesiastical) mode. The more common latter names where given by Boethius who confounded them. Sometimes the name is the same: G.M. Where Greek names don't have this prefix, the Greek ordering is used.

7 tone modes:

1 1 2 1 2 Thai mode 1
1 2 1 2 1 Thai mode 2
2 1 1 2 1 Thai mode 6

7 tone modes of pelog:

Pelog is not 7 tone equal temperament. A typical pelog scale is
0, 122, 271, 571, 677, 785, 947 cents.
1 1 2 1 2 Patet Lima, Patet Nem, Jawar, Selisir
[1] 1 2 1 1 2 Patet Barang
1 2 1 1 2 Patet Lima, Nem with Pelog
[1] 1 1 2 1 2 Patet Barang with Pelog, Manangis, Slendro Gede, Pergenter 2
[2] 1 1 2 1 2 Liwung, Pergenter 1, Pengenter Alit
[3] 1 1 2 1 2 Tembung
[4] 1 1 2 1 2 Nyorog, Sunaren
[5] 1 1 2 1 2 Nyorog handap, Baro
2 1 1 2 1 Pelog
1 3 1 1 1 Dangsoe
1 2 1 2 1 Bem, Pengenter
2 1 2 1 1 Miring, Slendro 2
1 1 1 3 1 Manyura
1 1 1 1 1 1 1 Lebeng
[2] 1 1 2 3 Slendro Alit
[1] 1 2 2 2 Jegog
[4] 2 1 2 1 1 Slendro 1
[1] 2 1 2 1 1 Slendro 3
[3] 2 1 2 1 1 Slendro 4

8 tone equal mode:

2 1 2 2 1 Agmon Diatonic DS1

9 tone equal modes:

1 1 2 1 1 1 2 Nine tone "Pelog"
2 1 2 1 2 1 Nine tone Augmented
3 1 1 3 1 Pelog Pancanada: Sunda
3 1 3 1 1 Nine tone "Sorog": Sunda
1 2 1 1 2 1 1 Pelog Saptanada: Sunda
1 1 1 1 1 1 1 1 1 Pelog Nawanada: Sunda

10 tone equal mode:

2 1 1 2 1 2 1 Sethares Neutral
3 1 2 3 1 Pelog Degung: Sunda
3 1 3 2 1 Sorog Madenda: Sunda

11 tone equal mode:

2 2 2 2 1 2 Schulter Hexatonic

12 tone modes:

5 7 Honchoshi: Japan
7 5 Niagari: Japan
10 2 Warao ditonic: South America
3 4 5 Peruvian tritonic 2
3 7 2 Ute tritonic
4 3 5 Raga Malasri, Peruvian tritonic 1
4 5 3 Raga Bilwadala
5 2 5 Raga Sarvasri, Warao tritonic: South America
5 5 2 Sansagari: Japan
6 1 5 Raga Ongkari
1 5 1 5 Messiaen truncated mode 5
5 1 5 1 Messiaen truncated mode 5 inverse
2 4 2 4 Messiaen truncated mode 6
4 2 4 2 Messiaen truncated mode 6 inverse
1 4 3 4 Raga Lavangi, Gowleeswari
2 1 7 2 Warao tetratonic: South America
2 2 3 5 Eskimo tetratonic (Alaska: Bethel)
2 3 2 5 Genus primum
2 3 3 4 Raga Haripriya
2 3 4 3 Raga Bhavani
2 4 5 1 Raga Sumukam
4 2 5 1 Raga Nigamagamini
4 3 3 2 Raga Mahathi, Antara Kaishiaki
3 4 3 2 Bi Yu: China
5 2 3 2 Genus primum inverse
2 3 2 1 4 Han-kumoi: Japan, Raga Shobhavari, Sutradhari
2 1 4 1 4 Hira-joshi, Kata-kumoi, Yona Nuki mineur: Japan
1 4 2 1 4 Hon-kumoi-joshi, Sakura, Akebono II: Japan, Olympos Enharmonic, Raga Salanganata, Saveri, Gunakri (Gunakali), Latantapriya, Ambassel: Ethiopia
1 4 2 3 2 Kokin-joshi, Miyakobushi, Han-Iwato, In Sen: Japan, Raga Vibhavari (Revati), Bairagi, Lasaki
1 4 1 4 2 Iwato: Japan
2 3 2 2 3 Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Raga Devakriya, Durga, Suddha Saveri, Arabhi, Scottish Pentatonic, Ujo, P'yongjo: Korea, Major complement
2 2 3 2 3 Major Pentatonic, Ryosen, Yona Nuki majeur: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Mohanam, Deskar, Bilahari, Kokila, Jait Kalyan, Peruvian Pentatonic 1, Ghana pent.2, Tezeta Major (Tizita): Ethiopia
2 3 2 3 2 Yo: Japan, Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China
2 3 3 2 2 Chaio: China
2 2 2 3 3 Kung: China
1 4 2 2 3 Altered Pentatonic, Raga Manaranjani II
2 1 2 4 3 Raga Abhogi
4 2 1 4 1 Raga Amritavarshini, Malashri, Shilangi
2 1 2 3 4 Raga Audav Tukhari
4 1 4 2 1 Raga Bhinna Shadja, Kaushikdhvani, Hindolita
1 2 4 1 4 Balinese Pelog, Madenda Modern, Raga Bhupalam, Bhupala Todi, Bibhas, Tezeta Minor: Ethiopia
2 2 3 1 4 Raga Bhupeshwari, Janasammodini
2 2 1 2 5 Raga Budhamanohari
3 2 4 2 1 Raga Chandrakauns (modern), Marga Hindola, Rajeshwari
3 2 4 1 2 Raga Chandrakauns (kafi), Surya, Varamu
3 2 3 3 1 Raga Chandrakauns (kiravani)
1 2 3 2 4 Raga Chhaya Todi
1 2 2 3 4 Raga Chitthakarshini
2 3 2 4 1 Raga Desh
1 6 1 3 1 Raga Deshgaur
5 2 1 3 1 Raga Devaranjani (Devaranji)
3 2 2 3 2 Minor Pentatonic, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Minyo: Japan, Peruvian Pentatonic 2, Blues Pentatonic, Bati: Ethiopia
4 2 1 2 3 Raga Dhavalashri
4 1 2 4 1 Raga Gambhiranata, Ryukyu: Japan, Pelog Degung Modern
1 4 2 4 1 Raga Gauri
4 1 3 3 1 Bacovia: Romania, Raga Girija
2 3 4 1 2 Raga Guhamanohari
2 2 3 4 1 Raga Hamsadhvani (Hansadhvani)
3 3 2 2 2 Raga Harikauns, Chin: China
4 2 3 2 1 Raga Hindol (Sunada Vinodini), Sanjh ka Hindol
3 2 1 4 2 Raga Jayakauns
4 1 4 1 2 Raga Khamaji Durga
3 2 2 1 4 Raga Kokil Pancham
1 4 3 3 1 Raga Kshanika
1 1 6 3 1 Raga Kumarapriya
2 2 2 5 1 Raga Kumurdaki (Kumudki)
5 2 2 1 2 Raga Kuntvarali (Kuntalavarali)
3 2 3 2 2 Raga Malkauns (Malakosh), Raga Hindola, Man Gong, Quan Ming, Yi Ze, Jiao: China
4 3 2 2 1 Raga Mamata
1 3 3 3 2 Raga Manaranjani I
2 5 2 1 2 Raga Matha Kokila (Matkokil)
1 3 1 3 4 Raga Megharanjani, Syrian pentatonic
1 3 1 6 1 Raga Megharanji
3 1 3 2 3 Raga Mohanangi
3 3 1 4 1 Raga Multani
1 1 4 1 5 Raga Nabhomani
4 1 2 2 3 Raga Nagasvaravali, Raga Mand
3 2 2 4 1 Raga Nata, Udayaravicandrika, Madhuranjani
2 2 5 2 1 Raga Neroshta
2 3 3 3 1 Raga Priyadharshini
2 1 2 2 5 Raga Purnalalita, Chad Gadyo: Jewish, Ghana Pentatonic 1, Nando-kyemyonjo: Korea
5 2 2 2 1 Raga Puruhutika, Purvaholika
1 1 6 1 3 Raga Putrika
1 3 3 2 3 Raga Rasika Ranjani, Vibhas (marva), Scriabin
2 3 4 2 1 Raga Rasranjani
1 3 3 1 4 Raga Reva, Revagupti, Ramkali, Vibhas (bhairava)
1 2 4 3 2 Raga Rukmangi
3 3 1 3 2 Raga Samudhra Priya, Madhukauns (pentatonic)
1 5 1 1 4 Raga Saugandhini, Yashranjani
2 1 4 2 3 Raga Sivaranjini (Shivranjani), Akebono I: Japan, Dorian Pentatonic
3 4 1 2 2 Raga Shailaja, Varini
2 4 1 2 3 Raga Shri Kalyan
2 4 3 2 1 Raga Shubravarni
2 4 1 4 1 Raga Vaijayanti, Hamsanada
4 3 2 1 2 Raga Valaji
4 1 2 1 4 Raga Zilaf
2 2 3 3 2 Dominant Pentatonic
4 1 2 3 2 Mixolydian Pentatonic, Raga Savethri
3 2 2 2 3 Minor added sixth Pentatonic, Kyemyonjo: Korea
2 2 2 2 2 2 Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic
2 3 2 2 1 2 P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Mixolydian Hexatonic
2 2 2 3 1 2 Prometheus, Raga Barbara
1 3 2 3 1 2 Prometheus Neapolitan
3 2 1 1 3 2 Blues scale I, Raga Nileshwari
1 2 2 3 2 2 Ritsu: Japan, Raga Suddha Todi
2 2 1 2 2 3 Arezzo Major Diatonic Hexachord, Raga Kambhoji, Devarangini, Sama (Syama), Scottish Hexatonic
2 1 2 2 3 2 Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island)
2 2 2 2 3 1 Eskimo Hexatonic 2 (Alaska: Point Hope)
2 1 4 2 2 1 Hawaiian
2 1 2 1 3 3 Pyramid Hexatonic
1 2 2 1 3 3 Double-Phrygian Hexatonic
2 1 3 1 4 1 Raga Amarasenapriya
2 1 2 4 1 2 Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari
1 3 3 1 3 1 Raga Bauli
3 1 1 2 3 2 Raga Bhanumanjari, Jog
1 2 3 2 2 2 Raga Bhavani
2 3 2 1 3 1 Raga Bhinna Pancama
2 2 2 1 4 1 Raga Caturangini, Ratnakanthi
1 1 4 1 2 3 Raga Chandrajyoti
1 3 2 1 1 4 Raga Dhavalangam
2 2 1 1 1 5 Raga Dipak
1 2 2 2 3 2 Raga Gandharavam
1 3 1 2 4 1 Raga Gaula
2 1 2 3 3 1 Raga Ghantana, Kaushiranjani (Kaishikiranjani)
3 2 2 1 2 2 Raga Gopikavasantam, Desya Todi, Jayantasri, Phrygian Hexatonic
1 2 3 2 3 1 Raga Gurjari Todi
1 3 2 3 2 1 Raga Hamsanandi, Marva, Pancama, Puriya, Sohni
2 2 1 4 2 1 Raga Hamsa Vinodini
4 1 2 2 2 1 Raga Hari Nata, Genus secundum
1 3 2 2 1 3 Raga Hejjajji
2 4 1 1 2 2 Raga Jaganmohanam
1 4 2 2 2 1 Raga Jivantika
3 3 1 3 1 1 Raga Jivantini, Gaurikriya
4 2 1 1 2 2 Raga Jyoti
1 3 3 1 1 3 Raga Kalagada (Kalgada)
1 4 2 1 1 3 Raga Kalakanthi
1 3 1 2 2 3 Raga Kalavati, Ragamalini
4 1 2 1 2 2 Raga Kamalamanohari
1 2 4 1 2 2 Raga Kashyapi
4 1 2 2 1 2 Raga Khamas, Desya Khamas, Bahudari
2 2 3 2 2 1 Raga Kumud, Sankara (Shankara), Lydian Hexatonic
1 3 1 3 3 1 Raga Lalita, Sohini, Hamsanandi, Lalit Bhairav
2 2 3 1 3 1 Raga Latika
3 3 1 2 1 2 Raga Madhukauns (hexatonic)
2 4 1 3 1 1 Raga Malarani, Hamsanada
1 3 3 2 1 2 Raga Malayamarutam
2 1 4 2 1 2 Raga Manavi
1 3 2 1 4 1 Raga Mandari, Gamakakriya, Hamsanarayani
3 2 2 2 1 2 Raga Manohari, Malavasri
2 2 2 3 2 1 Raga Mruganandana
2 3 2 2 2 1 Raga Nagagandhari
2 2 1 2 4 1 Raga Nalinakanti, Kedaram, Vilasini
2 3 2 1 2 2 Raga Navamanohari
2 1 3 2 1 3 Raga Neelangi
2 4 1 2 2 1 Raga Nishadi
1 4 2 1 3 1 Raga Padi
4 1 2 1 3 1 Raga Paraju (Paraz, Pharas), Ramamanohari, Sindhu Ramakriya, Kamalamanohari
1 4 2 1 2 2 Raga Phenadyuti, Insen, Honchoshi, Niagari: Japan
1 2 2 1 4 2 Honchoshi plagal form: Japan
1 3 1 2 1 4 Raga Purna Pancama, Malahari, Geyahejjajji, Kannadabangala
2 2 1 4 1 2 Raga Rageshri (Rageshwari), Nattaikurinji (Natakuranji)
2 1 3 3 2 1 Raga Ranjani, Rangini
3 1 2 1 4 1 Raga Rasamanjari
1 4 2 2 1 2 Raga Rasavali
1 3 1 4 1 2 Raga Rudra Pancama
1 2 4 2 1 2 Raga Salagavarali
2 3 2 3 1 1 Raga Brindabani Sarang, Megh (Megh Malhar)
2 2 1 3 3 1 Raga Sarasanana
2 4 1 2 1 2 Raga Sarasvati
4 1 2 1 1 3 Raga Saravati (Sharavati)
2 1 3 1 3 2 Raga Simharava (Sinharavam), Gopikatilaka
2 1 2 2 4 1 Raga Sindhura Kafi
2 2 1 2 3 2 Raga Siva Kambhoji, Vivardhini, Andhali
2 1 2 2 2 3 Raga Suddha Bangala, Gauri Velavali
1 1 3 3 1 3 Raga Suddha Mukhari
1 2 2 2 1 4 Raga Suddha Simantini
2 1 3 1 1 4 Raga Syamalam
3 2 2 1 3 1 Raga Takka
4 1 2 3 1 1 Raga Tilang, Savitri, Brindabani Tilang
2 1 4 1 2 2 Raga Trimurti
1 3 1 4 2 1 Raga Vasanta, Chayavati
1 3 1 3 2 2 Raga Vasantabhairavi
2 1 3 1 2 3 Raga Vijayanagari
1 1 4 1 4 1 Raga Vijayasri
4 2 1 3 1 1 Raga Vijayavasanta
1 2 2 3 3 1 Raga Viyogavarali
4 2 1 2 1 2 Raga Vutari
2 2 2 1 2 3 Raga Yamuna Kalyani, Kalyani Keseri, Airavati, Ancient Chinese
1 1 4 1 1 4 Messiaen mode 5
4 1 1 4 1 1 Messiaen mode 5 inverse
1 3 1 3 1 3 Messiaen truncated mode 3, Prometheus (Liszt)
3 1 3 1 3 1 Messiaen truncated mode 3 inverse, Major Augmented, Genus tertium, Raga Devamani
1 2 3 1 2 3 Messiaen truncated mode 2
1 3 2 1 3 2 Messiaen truncated mode 2, Raga Indupriya
1 2 1 2 4 2 Super-Locrian hexamirror
2 1 3 2 3 1 Takemitsu Tree Line mode 1
2 1 3 2 2 2 Takemitsu Tree Line mode 2

G = Greek, M = Medieval (ecclesiastical)
1 2 2 1 2 2 2 G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, Pien chih: China, Makam Lami, Yishtabach: Jewish
2 2 1 2 2 2 1 G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Ghana Heptatonic, Peruvian major, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China
2 1 2 2 2 1 2 G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Nayaki Kanada, Sriraga, Ritigaula, Huseni, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan
1 2 2 2 1 2 2 G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse
2 2 2 1 2 2 1 G.Hypolydian, M.Lydian, Kalyan That (Yaman), Mela Mecakalyani, Raga Shuddh Kalyan, Ping, Kung, Gu: China
2 2 1 2 2 1 2 G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Khamaj That, Mela Harikambhoji, Raga Harini, Janjhuti, Khambhavati, Surati, Balahamsa, Devamanohari, Mischung 3, Gregorian nr.7, Ching, Shang: China
2 1 2 2 1 2 2 G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece
1 1 3 1 1 3 2 Chromatic Mixolydian
1 3 1 1 3 2 1 Chromatic Lydian, Raga Lalit, Bhankar
3 1 1 3 2 1 1 Chromatic Phrygian
1 1 3 2 1 1 3 Chromatic Dorian, Mela Kanakangi, Raga Kanakambari
1 3 2 1 1 3 1 Chromatic Hypolydian, Purvi That, Mela Kamavardhani, Raga Shri, Pantuvarali, Basant, Kasiramakriya, Suddharamakriya, Puriya Dhanashri, Dhipaka, Pireotikos: Greece
3 2 1 1 3 1 1 Chromatic Hypophrygian, Blues scale III
2 1 1 3 1 1 3 Chromatic Hypodorian, Relative Blues scale, Raga Dvigandharabushini
2 3 1 1 3 1 1 Chromatic Mixolydian inverse
1 1 2 3 1 1 3 Chromatic Phrygian inverse
1 1 3 1 1 2 3 Chromatic Hypophrygian inverse
3 1 1 3 1 1 2 Chromatic Hypodorian inverse
2 1 2 2 2 2 1 Melodic Minor ascending, Jazz Minor, Minor-Major, Mela Gaurimanohari, Raga Patdip, Velavali, Deshi(2), Mischung 1, Hawaiian
2 1 2 2 1 3 1 Harmonic Minor, Spanish gipsy, Mischung 4, Pilu That, Mela Kiravani, Raga Kiranavali, Kirvani, Kalyana Vasantha, Deshi(3), Maqam Bayat-e-Esfahan, Sultani Yakah, Zhalibny Minor
1 3 1 2 2 1 2 Harmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran
2 2 1 2 1 3 1 Harmonic Major, Mela Sarasangi, Raga Haripriya, Simhavahini, Mischung 2, Ethiopian, Tabahaniotiko: Greece
1 2 1 3 1 2 2 Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4
2 2 1 3 1 2 1 Ionian sharp 5
2 2 2 2 1 2 1 Lydian Augmented, Lydian sharp 5
1 2 2 1 3 1 2 Locrian natural 6, Maqam Tarznauyn
2 2 1 1 2 2 2 Major Locrian
2 1 2 1 2 2 2 Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5
1 2 1 2 2 2 2 Super Locrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel
2 1 2 1 2 3 1 Locrian no.2
1 2 1 2 2 1 3 Ultra Locrian, Mixolydian sharp 1
1 2 2 1 2 1 3 Locrian double-flat 7
2 3 1 2 1 2 1 Nohkan Flute scale: Japan
2 1 1 3 1 2 2 Sabach (Sambah): Greece
2 1 2 1 3 1 2 Makam Karcigar, Maqam Nahawand Murassah, Dorian flat 5, Kiourdi ascending, Kartzihiar: Greece
2 1 2 1 3 2 1 Jeths' mode
1 1 3 2 1 2 2 Mela Ratnangi, Raga Phenadyuti
1 1 3 2 1 3 1 Mela Ganamurti, Raga Ganasamavarali
1 1 3 2 2 1 2 Mela Vanaspati, Raga Bhanumati
1 1 3 2 2 2 1 Mela Manavati, Raga Manoranjani
1 1 3 2 3 1 1 Mela Tanarupi, Raga Tanukirti
1 2 2 2 1 1 3 Mela Senavati, Raga Senagrani, Malini
1 2 2 2 1 3 1 Neapolitan Minor, Mela Dhenuka, Raga Bhinnasadjam, Dhunibinnashadjam, Takka, Maqam Shahnaz Kurdi
1 2 2 2 2 2 1 Neapolitan Major, Phrygian Major, Mela Kokilapriya, Raga Kokilaravam
1 2 2 2 2 1 2 Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Raga Natabharanam, Ahiri Todi
1 2 2 2 3 1 1 Mela Rupavati
1 3 1 1 2 3 1 Raga Lalita, Chromatic Hypolydian inverse, Raga Suddha Pancama
1 3 1 2 1 1 3 Mela Gayakapriya, Raga Kalakanti, Gipsy Hexatonic
1 3 1 2 1 2 2 Mela Vakulabharanam, Alhijaz: Arabic, Raga Jogiya, Ahiri, Vativasantabhairavi, Ahava Rabba: Jewish, Maqam Humayun, Hitzaz: Greece, Dorico Flamenco: Spain, Harmonic Major inverse, Phrygian Dominant
1 3 1 2 1 3 1 Major Gipsy, Persian, Double Harmonic Major, Bhairav That, Mela Mayamalavagaula, Raga Paraj, Kalingada, Gaulipantu, Lalitapancamam, Byzantine Liturgical Chromatic, Hitzazkiar: Greece, Maqam Zengule, Hijaz Kar, Suzidil
1 3 1 2 2 2 1 Mela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram, Jaganmohini
1 3 1 2 3 1 1 Mela Hatakambari, Raga Jeyasuddhamalavi
2 1 2 1 1 3 2 Modified Blues
2 1 2 2 1 1 3 Mela Jhankaradhvani, Raga Jhankara Bhramavi
2 1 2 2 3 1 1 Mela Varunapriya, Viravasantham
2 2 1 2 1 1 3 Mela Mararanjani, Raga Keseri
2 2 1 2 1 2 2 Mischung 6, Mixolydian flat 6, Major-Minor, Mela Carukesi, Raga Charukeshi, Tarangini
2 2 1 2 3 1 1 Mela Naganandini, Raga Nagabharanam, Samanta
3 1 1 2 1 1 3 Mela Yagapriya, Raga Kalahamsa
3 1 1 2 1 2 2 Mela Ragavardhani, Raga Cudamani
3 1 1 2 1 3 1 Mela Gangeyabhusani, Raga Gangatarangini, Sengiach: Greece
3 1 1 2 2 1 2 Mela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Chayanata, Bluesy R&R
3 1 1 2 2 2 1 Mela Sulini, Raga Sailadesakshi, Raga Trishuli, Houzam: Greece
3 1 1 2 3 1 1 Mela Calanata, Raga None, Chromatic Dorian inverse
1 1 4 1 1 1 3 Mela Salaga
1 1 4 1 1 2 2 Mela Jalarnava
1 1 4 1 1 3 1 Mela Jhalavarali, Raga Varali, Jinavali
1 1 4 1 2 1 2 Mela Navanitam, Raga Nabhomani
1 1 4 1 2 2 1 Mela Pavani, Raga Kumbhini
1 1 4 1 3 1 1 Mela Raghupriya, Raga Ravikriya, Ghandarva
1 2 3 1 1 1 3 Mela Gavambodhi, Raga Girvani
1 2 3 1 1 2 2 Mela Bhavapriya, Raga Bhavani, Kalamurti
1 2 3 1 1 3 1 Todi That, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam, Chromatic Lydian inverse, Maqam Athar Kurd
1 2 3 1 2 1 2 Mela Sadvidhamargini, Raga Sthavarajam, Tivravahini
1 2 3 1 2 2 1 Mela Suvarnangi, Raga Sauviram
1 2 3 1 3 1 1 Mela Divyamani
1 3 2 1 1 1 3 Mela Dhavalambari, Foulds' Mantra of Will scale
1 3 2 1 1 2 2 Mela Namanarayani, Raga Narmada, Pratapa
1 3 2 1 2 1 2 Mela Ramapriya, Raga Ramamanohari, Romanian Major, Petrushka chord
1 3 2 1 2 2 1 Marva That, Mela Gamanasrama, Raga Partiravam, Puriya, Puriya Kalyan, Purvikalyani, Sohani, Peiraiotikos: Greece
1 3 2 1 3 1 1 Mela Visvambhari, Raga Vamsavathi
1 3 2 2 2 1 1 Verdi's Enigmatic ascending
1 3 1 3 2 1 1 Verdi's Enigmatic descending
2 1 3 1 1 1 3 Mela Syamalangi, Raga Shyamalam
2 1 3 1 1 2 2 Mela Sanmukhapriya, Raga Camara, Chinthamani
2 1 3 1 1 3 1 Minor Gipsy, Mela Simhendramadhyama, Raga Madhava Manohari, Maqam Nawa Athar, Hisar, Double Harmonic Minor, Hungarian Minor, Niavent: Greece
2 1 3 1 2 1 2 Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Misheberekh: Jewish, Souzinak (Peiraiotiko Minore), Nigriz: Greece, Dorian sharp 4, Kaffa, Gnossiennes
2 1 3 1 2 2 1 Lydian Diminished, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
2 1 3 1 3 1 1 Mela Nitimati, Raga Nisada, Kaikavasi
2 2 2 1 1 1 3 Mela Kantamani, Raga Kuntala, Srutiranjani
2 2 2 1 1 2 2 Lydian Minor, Mela Risabhapriya, Raga Ratipriya
2 2 2 1 1 3 1 Mela Latangi, Raga Gitapriya, Hamsalata
2 2 2 1 2 1 2 Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Overtone, Lydian-Mixolydian, Bartok
2 2 2 1 3 1 1 Mela Citrambari, Raga Chaturangini
2 2 1 4 1 1 1 Raga Ragesri
2 3 2 2 1 1 1 Raga Sorati, Sur Malhar
3 1 2 1 1 1 3 Mela Sucaritra, Raga Santanamanjari
3 1 2 1 1 2 2 Mela Jyotisvarupini, Raga Jotismatti
3 1 2 1 1 3 1 Mela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
3 1 2 1 2 1 2 Hungarian Major, Mela Nasikabhusani, Raga Nasamani
3 1 2 1 2 2 1 Mela Kosalam, Raga Kusumakaram, Lydian sharp 2
3 1 2 1 3 1 1 Mela Rasikapriya, Raga Rasamanjari, Hamsagiri
3 1 2 2 1 2 1 Aeolian flat 1
4 1 2 2 1 1 1 Raga Madhuri
1 3 1 1 3 1 2 Oriental, Raga Ahira-Lalita, Minor Gipsy inverse, Tsinganikos: Greece
2 2 2 2 2 1 1 Leading Whole-tone
1 3 1 1 1 2 2 1 Raga Bhatiyar
2 1 3 1 1 1 1 2 Raga Cintamani
2 1 2 2 2 1 1 1 Raga Mian Ki Malhar, Bahar, Sindhura
2 1 2 2 1 1 1 2 Raga Mukhari, Anandabhairavi, Deshi, Manji, Gregorian nr.1, Dorian/Aeolian mixed
1 3 1 1 1 1 3 1 Raga Ramkali (Ramakri)
1 3 1 2 1 1 2 1 Raga Saurashtra
2 1 1 1 2 2 1 2 Minor Bebop, Dorian Bebop, Raga Zilla, Mixolydian/Dorian mixed
2 2 1 2 2 1 1 1 Genus diatonicum, Dominant Bebop, Raga Khamaj, Desh Malhar, Alhaiya Bilaval, Devagandhari, Maqam Shawq Awir, Gregorian nr.6, Major/Mixolydian mixed, Chinese Eight-Tone, Rast: Greece
2 2 1 2 1 1 2 1 Major Bebop, Altered Mixolydian
2 1 2 1 1 2 1 2 Blues scale II
2 1 2 1 1 1 3 1 Algerian
1 2 1 1 2 1 2 2 Spanish Phrygian
1 2 1 1 1 2 2 2 Espla's scale, Eight-tone Spanish
1 2 2 1 1 1 3 1 Half-diminished Bebop
1 2 3 1 1 2 1 1 Neveseri: Greece
2 1 2 1 2 1 2 1 Diminished, Modus conjunctus, Messiaen mode 2 inverse, Whole-Half step scale
2 2 1 1 1 2 2 1 Ishikotsucho: Japan, Raga Yaman Kalyan, Chayanat, Bihag, Hamir Kalyani, Kedar, Gaud Sarang, Genus diatonicum veterum correctum, Gregorian nr.5, Kubilai's Mongol scale, Major/Lydian mixed
1 3 1 1 2 2 1 1 Verdi's Scala enigmatica
2 1 2 2 1 1 2 1 Zirafkend: Arabic, Melodic Minor Bebop
1 1 1 2 2 2 1 2 Adonai Malakh: Jewish
1 2 1 2 2 1 2 1 Magen Abot: Jewish
2 1 2 2 1 2 1 1 Maqam Nahawand, Farahfaza, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor
1 1 1 2 2 1 3 1 Harmonic and Neapolitan Minor mixed
1 3 1 2 1 2 1 1 Maqam Hijaz (Hedjaz)
1 2 1 1 1 3 1 2 Maqam Shadd'araban
1 2 1 2 1 2 1 2 Octatonic, Messiaen mode 2, Dominant Diminished, Diminished Blues, Half-Whole step scale
1 1 1 3 1 1 1 3 Messiaen mode 4
3 1 1 1 3 1 1 1 Messiaen mode 4 inverse
1 1 2 2 1 1 2 2 Messiaen mode 6
2 2 1 1 2 2 1 1 Messiaen mode 6 inverse
1 1 1 2 2 1 2 2 Phrygian/Aeolian mixed
1 2 2 1 1 1 2 2 Phrygian/Locrian mixed
1 2 2 2 1 2 1 1 Hamel
1 2 2 1 1 2 2 1 Van der Horst Octatonic
1 2 2 1 2 2 1 1 Prokofiev
1 2 1 2 1 2 2 1 Shostakovich
1 2 1 1 2 2 1 2 JG Octatonic
1 1 2 1 1 2 1 1 2 Messiaen mode 3, Tsjerepnin mode 3
2 1 1 2 1 1 2 1 1 Messiaen mode 3 inverse, Tsjerepnin mode 2
2 1 2 2 1 1 1 1 1 Raga Pilu, Full Minor
2 1 1 1 2 2 1 1 1 Raga Malgunji, Ramdasi Malhar, Major/Dorian mixed
2 2 1 2 1 1 1 1 1 Raga Pahadi
2 1 1 1 1 1 2 1 2 Blues Enneatonic
2 1 2 1 1 1 1 1 2 Kiourdi: Greece
2 2 1 1 1 2 1 1 1 Taishikicho: Japan, Ryo: Japan, Raga Chayanat, Lydian/Mixolydian mixed
1 2 1 1 2 1 1 2 1 Genus chromaticum, Tsjerepnin mode 1
1 2 1 1 2 1 2 1 1 Moorish Phrygian
1 1 2 1 1 1 2 1 2 Youlan scale: China
1 1 1 2 2 1 1 1 2 Chromatic and Diatonic Dorian mixed
1 1 2 1 2 1 1 2 1 Chromatic and Permuted Diatonic Dorian mixed
2 1 1 1 2 1 1 1 2 Houseini: Greece, Modes of Major Pentatonic mixed
1 1 1 1 2 1 1 1 1 2 Messiaen mode 7
2 1 1 1 1 2 1 1 1 1 Messiaen mode 7 inverse
2 1 1 1 2 1 1 1 1 1 Major/Minor mixed
2 1 1 1 1 1 2 1 1 1 Minor Pentatonic with leading tones
1 1 1 1 1 2 1 2 1 1 Raga Sindhi-Bhairavi
1 1 2 1 1 1 1 2 1 1 Symmetrical Decatonic
1 1 1 1 1 1 1 1 1 1 1 1 Twelve-tone Chromatic

13 tone equal modes:

3 3 2 3 2 Blackwood Pentatonic
1 2 1 2 2 1 2 2 Blackwood Subminor
1 2 2 1 2 1 2 2 Chalmers Major
2 1 2 2 1 2 2 1 Chalmers Minor
2 1 2 2 1 2 1 2 Chalmers Triadic Minor
1 1 2 1 1 2 1 1 1 2 Rapoport Minor
2 1 1 1 2 1 1 2 1 1 Rapoport Major

13 tone modes of Bohlen-Pierce scale: octave is 3/1

3 3 3 3 1 BP Pentatonic
2 1 2 1 1 2 1 2 1 Delta, Moll I
1 2 1 2 1 1 2 1 2 Dur I, Delta inverse
1 2 1 2 1 1 2 2 1 Gamma
1 2 2 1 1 2 1 2 1 Gamma inverse
2 1 1 2 1 2 1 1 2 Dur II
2 1 1 2 1 2 1 2 1 Lambda
2 2 2 2 2 2 1 Krumhansl Heptatonic
1 2 1 2 1 2 1 1 2 Harmonic, Lambda inverse
1 2 1 2 1 2 1 2 1 Pierce, Moll II
3 1 2 1 3 2 1 Prooijen Major
2 1 3 1 2 3 1 Prooijen Minor
1 1 2 1 2 1 2 1 2 Walker A
1 2 1 1 2 1 2 1 2 Walker B
2 1 2 1 2 1 2 1 1 Walker I
2 1 2 1 2 1 1 2 1 Walker II
2 2 2 1 2 2 2 Sirius-7
1 3 1 3 1 3 1 Canopus-7
1 2 1 1 2 1 1 1 2 1 Canopus-10
1 4 1 1 1 4 1 Arcturus-7
1 1 3 1 1 1 3 1 1 Arcturus-10

14 tone equal mode:

2 3 2 2 3 2 Quasi-equal Hexatonic
2 1 2 1 2 1 2 2 1 Gould's Nonatonic

15 tone equal modes:

1 2 1 2 1 2 1 2 1 2 Blackwood Decatonic
4 1 4 1 4 1 Blackwood Hexatonic
3 2 1 3 2 3 1 Fifteen-tone "Major"
3 1 2 3 1 3 2 Fifteen-tone "Minor", Natural Minor
3 1 2 3 2 3 1 Fifteen-tone Melodic Minor
3 1 2 3 1 4 1 Fifteen-tone Harmonic Minor
3 2 1 3 1 4 1 Fifteen-tone Harmonic Major
3 1 1 1 3 1 1 2 1 1 Fifteen-tone Major/Minor mixed
1 2 1 1 1 2 1 1 1 1 2 1 Twelve-tone Chromatic
2 2 2 3 2 2 2 Fifteen-tone Miller's Porcupine-7
2 3 2 2 2 2 2 Fifteen-tone Miller's Porcupine-7 Major
1 3 2 3 1 1 2 2 Miller's Kusiro
2 2 1 2 2 2 2 2 Pentadecaphonic "Major", Jones's Porcupine-8
2 2 1 2 2 1 2 2 1 Rempt's Andal scale

16 tone equal modes:

2 2 2 1 2 2 2 2 1 Goldsmith, Agmon Diatonic DS3
1 3 1 3 1 3 1 3 Octatonic
2 2 3 2 2 2 3 Pseudo Pelog
2 2 1 2 2 2 2 1 2 Wilson
1 2 1 2 1 2 1 2 1 2 1 Op de Coul's 11-tone
1 2 1 1 2 1 1 2 1 1 2 1 Flavell's Blues

17 tone equal modes:

2 1 1 2 1 2 1 2 1 1 2 1 Twelve-tone Chromatic (2/11-comma positive)
3 3 1 3 3 3 1 Seventeen-tone Major
3 1 3 3 1 3 3 Seventeen-tone Natural Minor
3 1 3 3 3 3 1 Seventeen-tone Melodic Minor
3 1 3 3 1 5 1 Seventeen-tone Harmonic Minor
3 3 1 3 1 5 1 Seventeen-tone Harmonic Major
3 3 4 3 4 Seventeen-tone Major Pentatonic
4 3 3 4 3 Seventeen-tone Minor Pentatonic, Salendro Sejati: Sunda
3 4 3 4 3 Seventeen-tone Suspended Pentatonic
6 1 3 6 1 Pelog Degung Sejati: Sunda
6 1 6 3 1 Sorog Madenda Sejati: Sunda
2 5 3 2 5 Malaysian Pelog

17 tone modes of Arabic Pythagorean scale:

256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2
128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1
3 3 1 3 3 1 3 Safi al-Din's maqam `Ussaq
3 1 3 3 1 3 3 Safi al-Din's maqam Nawa
1 3 3 1 3 3 3 Safi al-Din's maqam Abu Salik
3 2 2 3 2 2 3 Safi al-Din's maqam Rast
2 3 2 2 3 2 2 1 Safi al-Din's maqam `Iraq
3 2 2 3 2 2 2 1 Safi al-Din's maqam Isfahan
2 2 3 2 2 1 3 2 Safi al-Din's maqam Zirafkand
2 3 2 2 1 3 2 2 Safi al-Din's maqam Buzurk
3 2 2 2 3 2 3 Safi al-Din's maqam Zangulah
2 3 2 2 2 3 3 Safi al-Din's maqam Rahawi
2 2 3 2 2 3 3 Safi al-Din's maqam Husaini
2 2 3 2 3 2 3 Safi al-Din's maqam Higazi
1 2 1 1 1 1 1 2 1 1 1 1 1 2 al-Kindi's mode
1 2 1 2 1 1 2 1 2 1 3 Ishaq al-Mausili's mode

17 tone modes of Persian scale:

256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16
16/9 729/400 243/128 2/1
3 3 1 3 3 3 1 Dastgah-e Mahur, Rast Panjgah
2 2 3 3 1 3 3 Dastgah-e Shur
2 3 3 1 3 3 2 Naghmeh Abuata, Naghmeh Afshari
3 3 1 3 3 2 2 Naghmeh Bayat-e Tork, Naghmeh Dashti
2 4 1 3 1 3 3 Dastgah-e Homayun
3 1 3 3 2 4 1 Naghmeh Esfahan
3 2 2 3 2 2 3 Dastgah-e Sehgah
2 3 2 2 3 3 2 Dastgah-e Sehgah
3 1 3 3 2 3 2 Dastgah-e Mokhalif, Bayat-e Esfahan
2 4 1 3 2 4 1 Dastgah-e Chahargah
3 1 3 3 2 2 3 Dastgah-e Nava
2 1 3 1 3 3 1 2 1 Hajdu non-octave mode

18 tone mode:

1 2 1 2 1 1 2 1 1 2 1 2 1 Wilson

19 tone modes:

5 4 5 5 Four out of 19
4 4 4 4 3 Five out of 19
3 3 5 3 5 Nineteen-tone Major Pentatonic
5 3 3 5 3 Nineteen-tone Minor Pentatonic
3 5 3 5 3 Nineteen-tone Suspended Pentatonic
4 4 3 4 4 Quasi-equal Pentatonic
3 3 3 3 3 4 Yasser's Hexad
3 3 2 3 3 3 2 Nineteen-tone Major
3 2 3 3 2 3 3 Nineteen-tone Natural Minor
3 2 3 3 3 3 2 Nineteen-tone Melodic Minor
3 2 3 3 2 4 2 Nineteen-tone Harmonic Minor
3 3 2 3 2 4 2 Nineteen-tone Harmonic Major
1 2 2 1 2 1 2 1 2 2 1 2 Meantone Chromatic (1/3-comma)
2 1 2 1 2 1 2 2 1 2 1 2 Genus diatonico-chromaticum
3 1 1 3 1 3 1 1 3 1 1 Keenan eleven out of 19
2 2 2 2 2 1 2 1 2 2 1 Krantz eleven out of 19
3 1 1 3 1 1 1 1 3 1 3 McLaren eleven out of 19
2 2 2 2 2 2 2 2 2 1 Negri's Ten Plus Nine
4 1 4 1 4 1 4 Oljare Diminished
5 1 5 1 1 5 1 Oljare Augmented
2 2 3 2 2 3 2 3 Oljare Octatonic
1 3 1 3 3 1 3 1 3 Oljare Pentaenharmonic
2 2 1 2 2 2 1 2 2 2 1 Gould Eleven out of 19
2 1 2 1 2 2 1 2 1 2 1 2 Yasser's Supradiatonic
1 2 5 1 2 5 3 Ratio 1:2 Chromatic Mixolydian
2 5 1 2 5 3 1 Ratio 1:2 Chromatic Lydian
5 1 2 5 3 1 2 Ratio 1:2 Chromatic Phrygian
1 2 5 3 1 2 5 Ratio 1:2 Chromatic Dorian
2 5 3 1 2 5 1 Ratio 1:2 Chromatic Hypolydian
5 3 1 2 5 1 2 Ratio 1:2 Chromatic Hypophrygian
3 1 2 5 1 2 5 Ratio 1:2 Chromatic Hypodorian

Joel Mandelbaum's 19 tone modes:

2 3 2 2 3 2 2 3 Eight out of 19
2 2 3 2 2 2 2 2 2 Nine out of 19
2 2 1 2 2 2 2 2 2 2 Ten out of 19
2 1 2 2 2 1 2 2 2 1 2 Eleven out of 19
1 2 1 2 2 1 2 1 2 1 2 2 Twelve out of 19
2 1 2 1 2 1 2 1 2 1 2 1 1 Thirteen out of 19
1 2 1 1 2 1 1 2 1 1 2 1 2 1 Fourteen out of 19

20 tone equal modes:

2 3 2 2 2 3 2 2 2 Balzano Nine-tone
2 2 2 2 1 2 2 2 2 2 1 Balzano Eleven-tone, Agmon Diatonic DS4
2 2 2 3 2 2 2 3 2 Balzano Nine-tone inverse
1 2 2 2 2 2 1 2 2 2 2 Balzano Eleven-tone inverse
2 3 2 3 2 3 2 3 Octatonic
3 2 3 2 3 2 3 2 Diminished
4 3 1 4 3 4 1 Twenty-tone "Major"
4 1 3 4 1 4 3 Twenty-tone "Minor"
2 2 1 2 1 2 2 1 2 2 2 1 Twelve-tone Chromatic
2 2 2 2 1 2 2 2 2 1 2 Zweifel Major
2 1 2 2 2 2 2 1 2 2 2 Zweifel Natural Minor
3 3 3 3 3 3 2 Major quasi-equal Heptatonic
3 2 3 3 3 3 3 Minor quasi-equal Heptatonic
3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic
3 4 1 4 3 3 2 Stearns Major

21 tone equal modes:

4 4 5 4 4 Quasi-equal Pentatonic
4 3 4 3 4 3 Quasi-equal Hexatonic
2 3 2 2 3 2 2 3 2 Quasi-equal Enneatonic

22 tone modes:

3 1 1 3 1 3 1 3 1 1 3 1 Twelve-tone Chromatic (1/3-comma positive)
4 4 1 4 4 4 1 Twenty-two tone Major
4 1 4 4 1 4 4 Twenty-two tone Minor
4 3 2 4 3 4 2 Twenty-two tone "Just" Major
4 2 3 4 2 4 3 Twenty-two tone Natural Minor
4 2 3 4 3 4 2 Twenty-two tone Melodic Minor
4 2 3 4 2 5 2 Twenty-two tone Harmonic Minor
4 3 2 4 2 5 2 Twenty-two tone Harmonic Major
2 3 2 3 2 3 2 3 2 Rezsutek's Percussion scale
4 1 1 1 4 1 1 1 4 1 1 1 1 Twenty-two tone Magic-13
3 2 3 2 3 2 3 2 2 Twenty-two tone Orwell
1 3 1 1 3 1 3 1 1 3 1 3 Twenty-two tone Superpythagorean
3 4 3 3 3 3 3 Twenty-two tone Miller's Porcupine-7 Major
3 3 1 3 3 3 3 3 Twenty-two tone Jones's Porcupine-8
3 1 3 2 2 2 3 2 2 2 Alternate Proper Decatonic
2 2 3 1 3 2 2 3 1 3 Exotic Symmetrical Decatonic

Paul Erlich's 22 tone equal modes:

2 2 3 2 2 2 3 2 2 2 Standard Pentachordal Major
2 2 3 2 2 2 2 3 2 2 Static Symmetrical Major
2 3 2 2 2 2 2 3 2 2 Alternate Pentachordal Major
2 3 2 2 2 2 3 2 2 2 Dynamic Symmetrical Major
2 2 2 3 2 2 2 2 2 3 Standard Pentachordal Minor
2 2 2 3 2 2 2 2 3 2 Static Symmetrical Minor
2 2 2 2 3 2 2 2 3 2 Alternate Pentachordal Minor
2 2 2 2 3 2 2 2 2 3 Dynamic Symmetrical Minor
4 3 3 3 3 3 3 Major quasi-equal Heptatonic
3 3 3 4 3 3 3 Minor quasi-equal Heptatonic, Miller's Porcupine-7
4 3 3 4 4 4 Harmonic Whole-Tone
4 3 4 4 3 4 "9-limit" Consonant Whole-Tone
6 3 1 3 6 3 Twenty-two tone Blues
5 4 4 5 4 Septimal Minor Pentatonic

22 tone modes of Indian shruti scale:

256/243 16/15 10/9 9/8 32/27 6/5 5/4 81/64 4/3 27/20 45/32 729/512 (or 64/45)
3/2 128/81 8/5 5/3 27/16 16/9 9/5 15/8 243/128 2/1
4 3 2 4 4 3 2 Shadja Grama, Murchhana Uttaramandra, Shuddha Swara Saptaka
[20] 2 4 3 2 4 4 3 Murchhana Rajani
[17] 3 2 4 3 2 4 4 Murchhana Uttarayata
4 3 2 4 3 2 4 Murchhana Suddhasadja, Raga Harikambhoji, Palaiyazh
4 4 3 2 4 3 2 Murchhana Asvakranta
3 2 4 4 3 2 4 Murchhana Abhirudgata, Kafi That, Raga Bageshri
4 3 2 4 3 4 2 Madhyama Grama, Bilaval That, Murchhana Suddhamadhya
[20] 2 4 3 2 4 3 4 Murchhana Margavi
3 4 2 4 3 2 4 Murchhana Hrishyaka
4 3 4 2 4 3 2 Murchhana Sauviri, Kalyan That
2 4 3 4 2 4 3 Murchhana Harinasva, Bhairavi That
[4] 3 2 4 3 4 2 4 Murchhana Kalopanata
3 2 4 3 3 3 4 Gandhaara Grama (Sarngadeva der. sa-grama)
3 2 4 3 2 4 4 Gandhaara Grama (Sarngadeva der. ma-grama)
4 2 4 3 3 3 3 Gandhaara Grama (Narada der. sa-grama)
4 2 4 3 2 4 3 Gandhaara Grama (Narada der. ma-grama), Murchhana Pauravi
4 2 3 4 2 4 3 Gandhaara Grama (Damodara), Raga Darbari, Darbari Kanada
2 4 3 3 3 4 3 Gandhaara Grama (Somanatha)
2 4 4 3 2 4 3 Gandhaara Grama (Popley), Murchhana Matsarikrita
4 2 3 4 2 2 2 3 Raga Anandabhairavi
1 4 4 4 1 5 3 Raga Asavari
4 2 3 4 2 3 4 Asavari That
2 5 6 2 5 2 Raga Bauli
1 6 2 4 1 7 1 Bhairav That
2 5 2 3 1 3 4 2 Raga Bhatiyar
4 3 2 3 1 4 4 1 Raga Bihag
1 4 4 4 1 4 4 Raga Bilashkhani Todi
4 3 6 4 5 Raga Bhupali
4 3 2 3 1 3 2 3 1 Raga Chayanat
3 4 6 3 6 Raga Deskar
4 5 4 4 5 Raga Durga
4 3 2 3 1 4 3 2 Raga Gaud Sarang
1 4 6 3 7 1 Raga Gurjari Todi
4 3 6 7 2 Raga Hamsadhvani
4 1 4 4 1 4 4 Raga Jaunpuri
3 4 2 4 3 4 2 Raga Jogiya
2 3 4 4 2 3 4 Raga Kanakangi
4 3 2 4 4 1 4 Khamaj That
4 3 2 4 3 2 3 1 Raga Khamaj
4 3 2 4 3 6 Raga Kambhoji
4 2 3 4 4 2 3 Raga Kharaharapriya, Bhimpalasi
1 6 2 2 3 7 1 Raga Lalita
6 3 6 3 4 Raga Malkauns
2 5 4 2 4 3 2 Raga Marva
4 2 3 4 4 2 2 1 Raga Mian Ki Malhar
3 2 4 4 2 1 2 4 Raga Mukhari
2 4 6 1 1 7 1 Raga Multani
2 5 5 1 3 4 2 Raga Puriya Kalyan
2 5 5 1 2 5 2 Purvi That, Raga Shri
4 2 2 1 4 4 2 2 1 Raga Ramdasi Malhar
1 6 2 1 3 1 6 2 Raga Ramkali
1 4 4 4 1 7 1 Raga Rampurmat Pilu
1 6 2 4 1 2 4 2 Raga Saurashtra
2 7 4 1 8 Raga Saveri
3 6 4 3 6 Raga Suddha Malhar
4 3 2 2 2 3 4 2 Raga Suddha Kalyan
6 3 4 2 5 2 Raga Takka
7 2 4 5 2 2 Raga Tilang
1 4 7 1 1 7 1 Todi That
1 4 7 1 1 6 2 Raga Varali
1 6 6 3 6 Raga Vibhas (marva)
4 4 4 1 4 4 1 Raga Yaman
4 3 2 3 1 3 5 1 Raga Yaman Kalyan
2 2 2 1 2 2 2 2 2 2 1 2 Modern Indian gamut
3 2 1 1 2 3 1 3 2 1 1 2 Old Indian gamut

22 tone mode of Tamil matra scale:

4 4 3 2 4 3 2 Seven-tone gamut (saptaka)

23 tone mode:

1 3 3 3 1 3 3 3 3 Twenty-three Tone Pelogic
2 2 1 2 2 1 2 2 1 2 2 1 2 1 Twenty-three Tone Superpelog
3 2 3 2 3 2 3 2 3 Stearns Nonatonic
3 3 1 3 3 3 3 1 3 Wilson

24 tone modes:

1 1 8 1 1 8 4 Enharmonic Mixolydian
1 8 1 1 8 4 1 Enharmonic Lydian
8 1 1 8 4 1 1 Enharmonic Phrygian
1 1 8 4 1 1 8 Enharmonic Dorian
1 8 4 1 1 8 1 Enharmonic Hypolydian
8 4 1 1 8 1 1 Enharmonic Hypophrygian
4 1 1 8 1 1 8 Enharmonic Hypodorian
2 3 5 2 3 5 4 Soft Diatonic Mixolydian
3 5 2 3 5 4 2 Soft Diatonic Lydian
5 2 3 5 4 2 3 Soft Diatonic Phrygian
2 3 5 4 2 3 5 Soft Diatonic Dorian
3 5 4 2 3 5 2 Soft Diatonic Hypolydian
5 4 2 3 5 2 3 Soft Diatonic Hypophrygian
4 2 3 5 2 3 5 Soft Diatonic Hypodorian
3 3 4 3 3 4 4 Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian
3 4 3 3 4 4 3 Dastgah-e Sehgah, Neutral Diatonic Lydian
4 3 3 4 4 3 3 Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian
3 3 4 4 3 3 4 Maqam Hussaini, Ushaq, Neutral Diatonic Dorian
3 4 4 3 3 4 3 Maqam Sikah (Segah), Neutral Diatonic Hypolydian
4 4 3 3 4 3 3 Neutral Diatonic Hypophrygian
4 3 3 4 3 3 4 Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz
1 5 4 1 5 4 4 Diatonic + Enharmonic Diesis Mixolydian
5 4 1 5 4 4 1 Diatonic + Enharmonic Diesis Lydian
4 1 5 4 4 1 5 Diatonic + Enharmonic Diesis Phrygian
1 5 4 4 1 5 4 Diatonic + Enharmonic Diesis Dorian
5 4 4 1 5 4 1 Diatonic + Enharmonic Diesis Hypolydian
4 4 1 5 4 1 5 Diatonic + Enharmonic Diesis Hypophrygian
4 1 5 4 1 5 4 Diatonic + Enharmonic Diesis Hypodorian
1 3 6 1 3 6 4 Chromatic/Enharmonic Mixolydian
3 6 1 3 6 4 1 Chromatic/Enharmonic Lydian
6 1 3 6 4 1 3 Chromatic/Enharmonic Phrygian
1 3 6 4 1 3 6 Chromatic/Enharmonic Dorian
3 6 4 1 3 6 1 Chromatic/Enharmonic Hypolydian
6 4 1 3 6 1 3 Chromatic/Enharmonic Hypophrygian
4 1 3 6 1 3 6 Chromatic/Enharmonic Hypodorian
3 4 3 3 4 3 4 Neutral Mixolydian
4 3 3 4 3 4 3 Neutral Lydian
3 3 4 3 4 3 4 Neutral Phrygian
3 4 3 4 3 4 3 Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi
4 3 4 3 4 3 3 Neutral Hypolydian
3 4 3 4 3 3 4 Neutral Hypophrygian
4 3 4 3 3 4 3 Neutral Hypodorian
3 5 2 4 3 5 2 Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
4 2 4 4 3 3 4 Dastgah-e Nava, Maqam Ushaq Masri
2 7 1 4 2 7 1 Second plagal Byzantine Liturgical mode
5 5 4 5 5 Quasi-equal Pentatonic
3 3 4 4 2 4 4 Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
3 3 4 4 2 1 3 4 Maqam Bayati
3 3 4 4 4 2 4 Maqam Nahfat
3 3 2 6 2 4 4 Maqam Saba
3 3 2 6 2 4 2 2 Maqam Saba
3 3 2 6 2 6 2 Maqam Sabr Jadid
3 3 2 2 4 3 3 4 Maqam Mansuri
4 3 3 4 2 6 2 Maqam Suznak (Soznak)
4 3 3 4 4 2 1 3 Maqam Rast, Dilkashidah, Dilnishin
4 3 3 4 4 4 2 Maqam Mahur
4 3 1 2 1 3 4 2 1 3 Maqam Yakah
4 3 1 2 4 4 2 4 Maqam Suzidil 'ara
3 3 4 2 6 2 4 Maqam Qarjighar, Bayati Shuri
3 4 2 2 2 2 2 4 3 Maqam Huzam
3 4 2 6 2 4 3 Maqam Hizam (Huzam, El Houzam), Rahat al Arouah
3 4 2 6 2 4 2 1 Maqam Rahat al-Arwah
3 4 3 3 4 4 2 1 Maqam Iraq
2 6 2 4 2 1 3 4 Maqam Hijaz
3 4 4 2 1 3 4 3 Maqam Musta'ar
3 4 4 4 2 4 2 1 Maqam Farahnak
3 4 3 3 2 6 2 1 Maqam Bastanikar, Tarz Nuin
4 2 6 2 4 2 1 3 Maqam Farah Faza, Maqam Nakriz
4 2 1 3 2 2 2 2 3 1 2 Maqam Hayyan
4 2 1 3 2 2 4 2 1 3 Maqam Basandida
4 4 2 1 3 2 2 4 2 Maqam Shawq Afza
2 1 3 2 2 4 2 4 2 2 Maqam Shawq Tarab
3 1 2 4 4 2 4 4 Maqam Jabburi
2 4 4 4 3 3 4 Maqam Nawa
2 5 3 4 2 5 3 Maqam Higaz-kar
3 4 4 2 4 4 3 Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
4 4 2 4 4 3 3 Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
3 5 2 4 2 4 4 Dastgah-e Homayun
4 2 4 4 3 5 2 Naghmeh Esfahan
3 6 1 5 2 6 1 Maqam 'Awg 'ara (Aug-ara)
4 1 5 4 2 6 2 Maqam Buselik
4 2 6 2 2 5 3 Maqam Neuter
2 8 3 6 5 Anchihoye: Ethiopia
4 3 3 4 4 2 4 Dance scale of Yi people: China
4 4 2 3 1 4 6 Daniel-mode of Spanish-Arab Jews
1 2 2 2 2 2 2 1 2 2 2 2 2 de Vries 13-tone
4 1 4 1 4 1 4 1 4 de Vries 9-tone
9 2 2 9 2 de Vries 5-tone
3 7 4 3 7 Spondeion
1 1 8 4 2 8 Spondeiakos
1 2 3 4 4 1 2 3 4 Progressive Enneatonic
2 3 2 3 2 2 3 2 3 2 Young Decatonic
2 2 1 2 2 2 1 2 2 1 2 2 2 1 Young Half-Octave Diatonic
3 1 3 3 3 1 3 3 1 3 Breed Decatonic
2 3 2 2 3 2 3 2 2 3 Oljare Decatonic
2 2 2 2 2 1 2 2 2 2 2 2 1 Agmon Diatonic DS5

25 tone equal modes:

4 4 2 5 4 4 2 Twenty-five tone "Major"
4 2 4 5 2 4 4 Twenty-five tone "Minor"

26 tone equal modes:

1 3 3 1 3 1 3 1 3 3 1 3 Meantone Chromatic (4/9-comma)
4 4 3 4 4 4 3 Twenty-six tone Major
4 3 4 4 3 4 4 Twenty-six tone Natural Minor
4 3 4 4 4 4 3 Twenty-six tone Melodic Minor
4 3 4 4 3 5 3 Twenty-six tone Harmonic Minor
4 4 3 4 3 5 3 Twenty-six tone Harmonic Major
5 5 6 5 5 Quasi-equal Pentatonic
3 2 3 2 3 3 2 3 2 3 Lemba Decatonic

Paul Erlich's 26 tone equal modes:

2 2 2 2 2 2 1 2 2 2 2 2 1 2 Static Major
2 2 2 2 2 1 2 2 2 2 2 2 2 1 Dynamic Major
2 1 2 2 2 2 2 2 2 1 2 2 2 2 Static Minor
2 2 1 2 2 2 2 2 1 2 2 2 2 2 Dynamic Minor
2 2 2 2 2 2 1 2 2 2 2 2 2 1 Erlich Double Diatonic
2 2 2 2 2 2 2 1 2 2 2 2 2 1 Injera

27 tone equal modes:

5 4 2 5 4 5 2 Twenty-seven tone "Major"
5 2 4 5 2 5 4 Twenty-seven tone "Minor"
7 2 7 2 7 2 Twenty-seven tone Augmented
5 4 5 4 5 4 Quasi-equal Hexatonic

28 tone equal mode:

2 5 2 5 2 5 2 5 Octatonic
3 4 3 4 3 4 3 4 Quasi-equal Octatonic

29 tone equal modes:

3 2 2 3 2 3 2 3 2 2 3 2 Twelve-tone Chromatic (1/14-comma positive)
5 5 2 5 5 5 2 Twenty-nine tone Major
5 2 5 5 2 5 5 Twenty-nine tone Minor
5 3 4 5 3 5 4 Twenty-nine tone Natural Minor
5 3 4 5 4 5 3 Twenty-nine tone Melodic Minor
5 3 4 5 3 6 3 Twenty-nine tone Harmonic Minor
5 4 3 5 3 6 3 Twenty-nine tone Harmonic Major
5 4 3 5 4 5 3 Twenty-nine tone "Just" Major
2 3 2 2 3 2 3 2 2 3 2 3 Twenty-nine tone Schismic
6 6 5 6 6 Quasi-equal Pentatonic
3 3 3 2 3 3 3 3 3 3 Keenan Decatonic

30 tone equal modes:

5 5 2 6 5 5 2 Thirty tone "Major"
5 2 5 6 2 5 5 Thirty tone "Minor"
10 3 10 5 2 Madenda: Sunda

31 tone equal modes:

2 3 3 2 3 2 3 2 3 3 2 3 Meantone Chromatic (53/220-comma)
5 5 3 5 5 5 3 Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
5 3 5 5 3 5 5 Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
5 3 5 5 5 5 3 Thirty-one tone Melodic Minor
5 3 5 5 3 7 3 Thirty-one tone Harmonic Minor
5 5 3 5 3 7 3 Thirty-one tone Harmonic Major
5 5 3 5 3 5 5 Thirty-one tone Major-Minor
5 8 5 13 Genus primum
10 3 5 5 5 3 Genus secundum
8 2 8 3 7 3 Genus tertium
10 10 10 1 Genus quartum
5 7 6 7 5 1 Genus quintum
4 6 2 6 4 3 3 3 Genus sextum
4 6 5 6 4 6 Genus septimum
6 6 6 1 6 6 Genus octavum
4 6 9 6 4 2 Genus nonum
13 6 6 6 Genus decimum
5 5 3 5 5 3 2 3 Genus diatonicum
3 5 2 3 5 3 2 5 3 Genus chromaticum
5 5 2 1 5 5 2 3 3 Genus diatonicum cum septimis
3 4 3 3 2 1 4 1 4 1 2 3 Genus enharmonicum vocale
2 2 4 2 2 3 3 3 1 3 3 3 Genus enharmonicum instrumentale
3 2 3 2 3 2 3 3 2 3 2 3 Genus diatonico-chromaticum
5 2 1 2 5 3 2 1 4 1 2 3 Genus bichromaticum
4 4 5 4 4 5 5 Neutral Diatonic Mixolydian
4 5 4 4 5 5 4 Neutral Diatonic Lydian
5 4 4 5 5 4 4 Neutral Diatonic Phrygian
4 4 5 5 4 4 5 Neutral Diatonic Dorian
4 5 5 4 4 5 4 Neutral Diatonic Hypolydian
5 5 4 4 5 4 4 Neutral Diatonic Hypophrygian
5 4 4 5 4 4 5 Neutral Diatonic Hypodorian
4 5 4 4 5 4 5 Neutral Mixolydian
5 4 4 5 4 5 4 Neutral Lydian
4 4 5 4 5 4 5 Neutral Phrygian
4 5 4 5 4 5 4 Neutral Dorian
5 4 5 4 5 4 4 Neutral Hypolydian
4 5 4 5 4 4 5 Neutral Hypophrygian
5 4 5 4 4 5 4 Neutral Hypodorian
2 2 9 2 2 9 5 Hemiolic Chromatic Mixolydian
2 9 2 2 9 5 2 Hemiolic Chromatic Lydian
9 2 2 9 5 2 2 Hemiolic Chromatic Phrygian
2 2 9 5 2 2 9 Hemiolic Chromatic Dorian
2 9 5 2 2 9 2 Hemiolic Chromatic Hypolydian
9 5 2 2 9 2 2 Hemiolic Chromatic Hypophrygian
5 2 2 9 2 2 9 Hemiolic Chromatic Hypodorian
2 3 8 2 3 8 5 Ratio 2:3 Chromatic Mixolydian
3 8 2 3 8 5 2 Ratio 2:3 Chromatic Lydian
8 2 3 8 5 2 3 Ratio 2:3 Chromatic Phrygian
2 3 8 5 2 3 8 Ratio 2:3 Chromatic Dorian
3 8 5 2 3 8 2 Ratio 2:3 Chromatic Hypolydian
8 5 2 3 8 2 3 Ratio 2:3 Chromatic Hypophrygian
5 2 3 8 2 3 8 Ratio 2:3 Chromatic Hypodorian
3 5 5 3 5 5 5 Intense Diatonic Mixolydian, M.Locrian
5 3 5 5 5 3 5 Intense Diatonic Phrygian, M.Dorian
3 5 5 5 3 5 5 Intense Diatonic Dorian, M.Phrygian
5 5 5 3 5 5 3 Intense Diatonic Hypolydian, M.Lydian
5 5 3 5 5 3 5 Intense Diatonic Hypophrygian, M.Mixolydian
2 5 6 2 5 6 5 Soft Diatonic Mixolydian
5 6 2 5 6 5 2 Soft Diatonic Lydian
6 2 5 6 5 2 5 Soft Diatonic Phrygian
2 5 6 5 2 5 6 Soft Diatonic Dorian
5 6 5 2 5 6 2 Soft Diatonic Hypolydian
6 5 2 5 6 2 5 Soft Diatonic Hypophrygian
5 2 5 6 2 5 6 Soft Diatonic Hypodorian
1 2 10 1 2 10 5 Enharmonic Mixolydian
2 10 1 2 10 5 1 Enharmonic Lydian
10 1 2 10 5 1 2 Enharmonic Phrygian
1 2 10 5 1 2 10 Enharmonic Dorian
2 10 5 1 2 10 1 Enharmonic Hypolydian
10 5 1 2 10 1 2 Enharmonic Hypophrygian
5 1 2 10 1 2 10 Enharmonic Hypodorian
6 6 7 6 6 Quasi-equal Pentatonic
3 2 2 3 3 2 3 3 2 2 3 3 Fokker 12-tone
5 3 5 3 5 2 5 3 Modus conjunctus
3 5 2 5 3 5 3 5 Octatonic
3 3 4 3 5 3 4 3 3 Hahn symmetric pentachordal
3 4 3 3 5 3 4 3 3 Hahn pentachordal
4 4 2 5 3 3 4 3 3 Hahn Nonatonic
5 1 5 1 5 1 5 1 5 1 1 de Vries 11-tone
4 1 4 4 4 1 4 4 1 4 Breed 10-tone
4 2 4 2 4 2 4 3 3 3 Lumma Decatonic
5 3 3 3 3 5 3 3 3 Rothenberg Generalized Diatonic
5 2 6 5 2 5 6 "Septimal" Natural Minor
4 3 4 3 4 3 4 3 3 Thirty-one tone Orwell
2 5 2 2 5 2 2 2 5 2 2 Secor Sentinel

32 tone equal modes:

6 4 3 6 4 6 3 Thirty-two tone "Major"
6 3 4 6 3 6 4 Thirty-two tone "Minor"
3 5 3 5 3 5 3 5 Octatonic

34 tone equal modes:

3 3 3 2 3 3 3 3 2 3 3 3 "Just" Chromatic
6 5 3 6 5 6 3 Thirty-four tone "Just" Major
6 3 5 6 3 6 5 Thirty-four tone Natural Minor
6 3 5 6 5 6 3 Thirty-four tone Melodic Minor
6 3 5 6 3 8 3 Thirty-four tone Harmonic Minor
6 5 3 6 3 8 3 Thirty-four tone Harmonic Major
7 7 6 7 7 Quasi-equal Pentatonic
2 7 2 7 2 7 7 Thirty-four tone Kleismic-7
2 2 5 2 5 2 2 5 2 2 5 Thirty-four tone Kleismic-11
2 5 2 5 2 2 5 2 2 5 2 Wilson 11-tone

36 tone equal modes:

1 1 13 1 1 13 6 Hyperenharmonic Mixolydian
1 13 1 1 13 6 1 Hyperenharmonic Lydian
13 1 1 13 6 1 1 Hyperenharmonic Phrygian
1 1 13 6 1 1 13 Hyperenharmonic Dorian
1 13 6 1 1 13 1 Hyperenharmonic Hypolydian
13 6 1 1 13 1 1 Hyperenharmonic Hypophrygian
6 1 1 13 1 1 13 Hyperenharmonic Hypodorian
2 2 11 2 2 11 6 Soft Chromatic Mixolydian
2 11 2 2 11 6 2 Soft Chromatic Lydian
11 2 2 11 6 2 2 Soft Chromatic Phrygian
2 2 11 6 2 2 11 Soft Chromatic Dorian
2 11 6 2 2 11 2 Soft Chromatic Hypolydian
11 6 2 2 11 2 2 Soft Chromatic Hypophrygian
6 2 2 11 2 2 11 Soft Chromatic Hypodorian
2 4 9 2 4 9 6 Ratio 1:2 Chromatic Mixolydian
4 9 2 4 9 6 2 Ratio 1:2 Chromatic Lydian
9 2 4 9 6 2 4 Ratio 1:2 Chromatic Phrygian
2 4 9 6 2 4 9 Ratio 1:2 Chromatic Dorian
4 9 6 2 4 9 2 Ratio 1:2 Chromatic Hypolydian
9 6 2 4 9 2 4 Ratio 1:2 Chromatic Hypophrygian
6 2 4 9 2 4 9 Ratio 1:2 Chromatic Hypodorian
5 5 5 5 5 5 6 Equal Diatonic Mixolydian
5 5 5 5 5 6 5 Equal Diatonic Lydian
5 5 5 5 6 5 5 Equal Diatonic Phrygian
5 5 5 6 5 5 5 Equal Diatonic Dorian
5 5 6 5 5 5 5 Equal Diatonic Hypolydian
5 6 5 5 5 5 5 Equal Diatonic Hypophrygian
6 5 5 5 5 5 5 Equal Diatonic Hypodorian
2 7 6 2 7 6 6 Diatonic + Soft Chromatic Diesis Mixolydian
7 6 2 7 6 6 2 Diatonic + Soft Chromatic Diesis Lydian
6 2 7 6 6 2 7 Diatonic + Soft Chromatic Diesis Phrygian
2 7 6 6 2 7 6 Diatonic + Soft Chromatic Diesis Dorian
7 6 6 2 7 6 2 Diatonic + Soft Chromatic Diesis Hypolydian
6 6 2 7 6 2 7 Diatonic + Soft Chromatic Diesis Hypophrygian
6 2 7 6 2 7 6 Diatonic + Soft Chromatic Diesis Hypodorian
4 7 4 6 4 7 4 Savas Soft Chromatic 2nd Byzantine mode
4 6 5 6 4 6 5 Savas Diatonic Byzantine Liturgical mode
4 8 3 6 4 8 3 Savas Enharmonic Byzantine Liturgical mode
3 10 2 6 3 10 2 Hard Chromatic 2nd plagal Byzantine mode
7 7 8 7 7 Quasi-equal Pentatonic
5 4 6 6 5 4 6 First plagal Byzantine Liturgical mode
6 5 4 6 6 5 4 Fourth plagal Byzantine Liturgical mode
4 5 4 5 4 5 4 5 Quasi-equal Octatonic
3 4 4 3 4 4 3 3 4 4 Bohlen's 833 cents Golden scale

Persian modes as 36 tone equal modes:

4 5 6 4 2 3 1 5 6 Dastgah-e Shur
4 5 6 6 3 1 5 6 Dastgah-e Abuata
3 1 5 6 4 2 3 1 5 6 Dastgah-e Dashti
3 3 6 3 6 6 4 5 Dastgah-e Bayat-e Tork
6 4 5 6 4 2 3 1 5 Dastgah-e Afshari
5 6 4 5 1 5 6 4 Dastgah-e Segah
4 8 3 6 4 8 3 Dastgah-e Chahargah
4 8 3 6 3 1 5 6 Dastgah-e Homayun
6 3 6 6 4 6 5 Dastgah-e Bayat-e Esfahan
6 3 6 6 4 5 6 Dastgah-e Nava
6 6 3 6 6 3 3 3 Dastgah-e Mahur, Rast (Rast Panjgah)

37 tone equal mode:

5 5 5 7 5 5 5 Thirty-seven tone Miller's Porcupine-7
5 7 5 5 5 5 5 Thirty-seven tone Miller's Porcupine-7 Major
5 5 5 5 5 5 5 2 Thirty-seven tone Miller's Porcupine-8

39 tone mode:

2 5 5 5 2 5 5 5 5 Thirty-nine Tone Pelogic

40 tone mode:

4 5 13 4 14 Surupan Melog jawar: Java
5 4 14 4 13 Surupan Miring: Java
5 4 13 5 13 Surupan Ajeng: Java
3 7 3 7 3 7 3 7 Octatonic

41 tone equal modes:

4 3 3 4 3 4 3 4 3 3 4 3 Twelve-tone Chromatic (1/44-comma positive)
4 3 4 2 4 3 4 4 2 4 3 4 "Just" Chromatic
7 7 3 7 7 7 3 Forty-one tone Major
7 3 7 7 3 7 7 Forty-one tone Minor
7 6 4 7 6 7 4 Forty-one tone "Just" Major
7 4 6 7 4 6 7 Forty-one tone Natural Minor
7 4 6 7 6 7 4 Forty-one tone Melodic Minor
7 4 6 7 4 9 4 Forty-one tone Harmonic Minor
7 6 4 7 4 9 4 Forty-one tone Harmonic Major
3 4 3 3 4 3 4 3 3 4 3 4 Forty-one tone Schismic
11 2 11 2 2 11 2 Forty-one tone Magic-7
9 2 2 2 9 2 2 9 2 2 Forty-one tone Magic-10
7 2 2 2 7 2 2 2 7 2 2 2 2 Forty-one tone Magic-13

43 tone equal modes:

3 4 4 3 4 3 4 3 4 4 3 4 Meantone Chromatic (1/5-comma)
7 7 4 7 7 7 4 Forty-three tone Major
7 4 7 7 4 7 7 Forty-three tone Natural Minor
7 4 7 7 7 7 4 Forty-three tone Melodic Minor
7 4 7 7 4 10 4 Forty-three tone Harmonic Minor
7 7 4 7 4 10 4 Forty-three tone Harmonic Major
3 3 12 3 3 12 7 Parachromatic Mixolydian
3 12 3 3 12 7 3 Parachromatic Lydian
12 3 3 12 7 3 3 Parachromatic Phrygian
3 3 12 7 3 3 12 Parachromatic Dorian
3 12 7 3 3 12 3 Parachromatic Hypolydian
12 7 3 3 12 3 3 Parachromatic Hypophrygian
7 3 3 12 3 3 12 Parachromatic Hypodorian
3 6 9 3 6 9 7 Soft Diatonic Mixolydian
6 9 3 6 9 7 3 Soft Diatonic Lydian
9 3 6 9 7 3 6 Soft Diatonic Phrygian
3 6 9 7 3 6 9 Soft Diatonic Dorian
6 9 7 3 6 9 3 Soft Diatonic Hypolydian
9 7 3 6 9 3 6 Soft Diatonic Hypophrygian
7 3 6 9 3 6 9 Soft Diatonic Hypodorian

44 tone equal mode:

4 7 4 7 4 7 4 7 Octatonic

45 tone equal modes:

2 5 5 2 5 2 5 2 5 5 2 5 Meantone Chromatic (2/5-comma)
7 7 5 7 7 7 5 Forty-five tone Major
7 5 7 7 5 7 7 Forty-five tone Minor

46 tone equal modes:

5 3 3 5 3 5 3 5 3 3 5 3 Twelve-tone Chromatic (1/9-comma positive)
4 4 4 3 4 4 4 4 3 4 4 4 "Just" Chromatic
8 7 4 8 7 8 4 Forty-six tone "Just" Major
8 4 7 8 4 8 7 Forty-six tone Natural Minor
8 4 7 8 7 8 4 Forty-six tone Melodic Minor
8 4 7 8 4 11 4 Forty-six tone Harmonic Minor
8 7 4 8 4 11 4 Forty-six tone Harmonic Major
3 9 3 7 5 7 3 9 Smith's Star
5 7 3 9 3 7 5 7 Smith's Nova
4 4 7 4 4 4 4 7 4 4 Symmetrical Decatonic

48 tone equal modes:

3 3 14 3 3 14 8 Hemiolic Chromatic Mixolydian
3 14 3 3 14 8 3 Hemiolic Chromatic Lydian
14 3 3 14 8 3 3 Hemiolic Chromatic Phrygian
3 3 14 8 3 3 14 Hemiolic Chromatic Dorian
3 14 8 3 3 14 3 Hemiolic Chromatic Hypolydian
14 8 3 3 14 3 3 Hemiolic Chromatic Hypophrygian
8 3 3 14 3 3 14 Hemiolic Chromatic Hypodorian
5 5 10 5 5 10 8 Soft Diatonic Mixolydian
5 10 5 5 10 8 5 Soft Diatonic Lydian
10 5 5 10 8 5 5 Soft Diatonic Phrygian
5 5 10 8 5 5 10 Soft Diatonic Dorian
5 10 8 5 5 10 5 Soft Diatonic Hypolydian
10 8 5 5 10 5 5 Soft Diatonic Hypophrygian
8 5 5 10 5 5 10 Soft Diatonic Hypodorian
3 9 8 3 9 8 8 Diatonic + Hemiolic Chromatic Diesis Mixolydian
9 8 3 9 8 8 3 Diatonic + Hemiolic Chromatic Diesis Lydian
8 3 9 8 8 3 9 Diatonic + Hemiolic Chromatic Diesis Phrygian
3 9 8 8 3 9 8 Diatonic + Hemiolic Chromatic Diesis Dorian
9 8 8 3 9 8 3 Diatonic + Hemiolic Chromatic Diesis Hypolydian
8 8 3 9 8 3 9 Diatonic + Hemiolic Chromatic Diesis Hypophrygian
8 3 9 8 3 9 8 Diatonic + Hemiolic Chromatic Diesis Hypodorian
5 5 5 5 8 5 5 5 5 Quasi-equal Enneatonic
5 5 5 3 5 5 5 5 5 5 Forty-eight tone Keenan Decatonic
5 5 5 5 5 3 5 5 5 5 Forty-eight tone Lumma Decatonic

50 tone equal modes:

3 5 5 3 5 3 5 3 5 5 3 5 Meantone Chromatic (2/7-comma)
8 8 5 8 8 8 5 Fifty tone Major
8 5 8 8 5 8 8 Fifty tone Natural Minor
8 5 8 8 8 8 5 Fifty tone Melodic Minor
8 5 8 8 5 11 5 Fifty tone Harmonic Minor
8 8 5 8 5 11 5 Fifty tone Harmonic Major

53 tone equal modes:

5 4 5 3 5 4 5 5 3 5 4 5 "Just" Chromatic
5 4 4 5 4 5 4 5 4 4 5 4 Meantone Chromatic (1/315-comma)
9 8 5 9 8 9 5 Fifty-three tone "Just" Major
9 5 8 9 5 9 8 Fifty-three tone "Just" Minor
9 5 8 9 5 8 9 Fifty-three tone Natural Minor
9 5 8 9 8 9 5 Fifty-three tone Melodic Minor
9 5 8 9 5 12 5 Fifty-three tone Harmonic Minor
9 8 5 9 5 12 5 Fifty-three tone Harmonic Major
3 11 3 11 3 11 11 Fifty-three tone Kleismic-7
3 3 8 3 8 3 3 8 3 3 8 Fifty-three tone Kleismic-11
4 5 4 4 5 4 5 4 4 5 4 5 Fifty-three tone Schismic

53 tone equal modes with Turkish makams:

9 8 5 9 9 4 4 5 Makam Rast
9 4 9 9 4 9 9 Makam Nihavend, Muberka, Fifty-three tone Minor
9 8 5 9 8 5 4 5 Makam Yegah
9 8 5 9 8 1 4 4 5 Makam Yegah
9 8 5 9 9 8 5 Makam Sazkar
9 4 9 9 4 9 4 5 Makam Sultaniyegah, Ruhnevaz
4 9 9 9 4 9 9 Makam Ferahnuma, Askefza, Acem Kurdi
5 12 5 9 5 8 4 5 Makam Sedaraban
8 5 9 8 5 9 9 Makam Huseyniasiran
5 12 5 9 4 4 5 4 5 Makam Suzidil
9 9 4 4 5 9 9 4 Makam Acemasiran
9 5 4 4 4 5 5 13 4 Makam Sevkefza
5 9 8 5 9 9 4 4 Makam Iraq
5 9 8 5 4 5 9 4 4 Makam Evic, Segah
5 9 8 1 4 4 5 9 4 4 Makam Ferahnak
5 13 4 9 5 13 4 Makam Evicara (Evcara)
9 9 4 9 9 4 5 4 Makam Mahur
9 5 4 4 4 5 9 4 5 4 Makam Suzidilara
9 9 4 4 5 9 4 4 5 Makam Buzurk
5 4 4 4 5 9 4 9 9 Makam Suzinak
5 12 5 5 4 4 4 5 9 Makam Zirguleli Suzinak
5 12 5 9 5 3 5 4 5 Makam Hicazkar
4 1 4 4 4 5 9 4 4 5 9 Makam Kurdilihicazkar
9 4 9 5 4 4 5 8 5 Makam Nihavend (Nihavent)
9 5 12 5 5 12 5 Makam Neveser
9 5 12 5 9 4 4 5 Makam Nikriz
8 5 9 9 4 4 5 9 Makam Huseyni, Muhayyer, Neva, Gerdaniye, Tahir
8 5 9 5 4 4 4 5 9 Makam Gulizar, Beyati (Bayati), Karcigar
8 5 9 9 4 9 9 Makam Ussak, Acem, Arazbar
8 1 4 4 5 9 4 9 9 Makam Isfahan
4 4 1 4 9 4 5 4 9 9 Makam Kurdi
9 4 9 5 4 4 4 5 4 5 Makam Buselik (Puselik)
9 4 9 9 4 13 5 Makam Sehnaz Buselik
8 5 9 5 3 1 4 4 5 9 Makam Arazbar
5 12 5 9 4 4 5 9 Makam Hicaz, Uzzal, Humayun
5 12 5 9 4 1 8 4 5 Makam Zirgule
5 12 5 9 4 1 3 5 4 5 Makam Sehnaz
8 5 5 13 4 9 9 Makam Saba, Sunbule
8 5 5 13 4 4 5 5 4 Makam Kucek
8 5 5 4 9 4 4 5 4 5 Makam Eski Sipihr
4 4 5 4 1 13 4 9 9 Makam Dugah
8 5 9 4 5 4 1 8 4 5 Makam Hisar
5 3 5 4 5 4 5 4 1 3 5 4 5 Makam Yeni Sipihr
9 8 5 9 5 8 9 Makam Nisaburek
5 9 5 12 5 9 4 4 Makam Huzzam
9 5 8 9 5 9 4 4 Makam Mustear
5 9 8 1 4 9 9 8 Makam Maye (Yeni Maye)
1 4 9 8 5 9 9 3 5 Makam Vechi Arazbar
8 5 9 4 9 9 4 5 Makam Nisabur
5 13 4 9 5 12 5 Makam Cargah I
9 9 4 9 9 9 4 Makam Cargah II, Zavil, Fifty-three tone Major, Dastgah-e Mahur
5 8 13 5 5 8 4 5 Makam Araban
9 8 5 9 9 5 8 Makam Urmawi
9 4 13 5 4 13 5 Makam Rengidil
5 9 8 5 9 9 8 Makam Arak
7 1 5 9 9 4 9 9 Makam Necid Huseyni, Huzi

Persian modes as 53 tone equal modes:

6 7 9 9 4 9 9 Dastgah-e Shur
6 7 9 6 3 4 2 7 9 Dastgah-e Shur
6 7 9 9 4 2 7 9 Dastgah-e Abuata
4 2 7 9 6 3 4 2 7 9 Dastgah-e Dashti
6 3 9 4 9 9 6 7 Dastgah-e Bayat-e Tork
9 6 7 9 6 3 4 2 7 Dastgah-e Afshari
6 12 4 9 4 2 7 9 Dastgah-e Homayun
9 9 4 9 9 4 5 4 Dastgah-e Mahur, Rast (Rast Panjgah)
6 9 10 3 9 9 7 Naghmeh Abuata, Naghmeh Afshari
9 9 4 9 9 6 7 Naghmeh Bayat-e Tork, Naghmeh Dashti
9 4 9 9 6 12 4 Naghmeh Esfahan

9 6 7 2 7 9 6 Dastgah-e Sehgah

9 6 7 9 6 7 9 Dastgah-e Sehgah
6 9 7 6 9 9 7 Dastgah-e Sehgah
9 4 9 9 6 9 7 Dastgah-e Mokhalif, Bayat-e Esfahan
6 12 4 9 6 12 4 Dastgah-e Chahargah
9 4 9 9 6 7 9 Dastgah-e Nava

55 tone equal modes:

4 5 5 4 5 4 5 4 5 5 4 5 Meantone Chromatic (1/6-comma)
5 4 5 4 5 5 4 5 4 5 4 5 Sauveur's Musician's System
9 9 5 9 9 9 5 Fifty-five tone Major
9 5 9 9 5 9 9 Fifty-five tone Natural Minor
9 5 9 9 9 9 5 Fifty-five tone Melodic Minor
9 5 9 9 5 13 5 Fifty-five tone Harmonic Minor
9 9 5 9 5 13 5 Fifty-five tone Harmonic Major

59 tone equal mode:

8 8 8 11 8 8 8 Fifty-nine tone Miller's Porcupine-7
8 11 8 8 8 8 8 Fifty-nine tone Miller's Porcupine-7 Major

63 tone equal mode:

7 4 4 7 4 7 4 7 4 4 7 4 Twelve-tone Chromatic (1/8-comma positive)

65 tone equal modes:

6 5 5 6 5 6 5 6 5 5 6 5 Meantone Chromatic (1/52-comma)
6 5 6 4 6 5 6 6 4 6 5 6 "Just" Chromatic

67 tone equal mode:

5 6 6 5 6 5 6 5 6 6 5 6 Meantone Chromatic (4/25-comma)

68 tone equal modes:

9 7 12 12 9 7 12 Chrysanthos 1st Byzantine Liturgical mode
12 13 3 12 12 5 11 Chrysanthos 3rd Byzantine Liturgical mode
12 9 7 12 9 7 12 Chrysanthos 4th plagal Byzantine Liturgical mode
7 18 3 12 7 18 3 Chrysanthos Hard Chromatic 2nd plagal Byzantine mode
7 18 3 12 9 7 12 Chrysanthos Hard Chromatic/Diatonic Byzantine mode
9 7 12 7 18 3 12 Fokaeas 2nd plagal Byzantine Liturgical mode
12 9 7 12 12 3 13 Konstantinos 3rd Byzantine Liturgical mode
12 4 12 9 7 12 12 Konstantinos 4th plagal Byzantine Liturgical mode
12 13 3 12 12 13 3 Tiby 1st Byzantine Liturgical mode
12 5 11 12 12 5 11 Tiby 2nd Byzantine Liturgical mode
9 12 7 12 9 12 7 Tiby 4th Byzantine Liturgical mode
7 14 7 12 7 14 7 Tsiknopoulos 2nd Byzantine Liturgical mode
7 12 12 9 7 12 9 Tsiknopoulos 4th Byzantine Liturgical mode
12 9 7 12 12 9 7 Tsiknopoulos 4th plagal Byzantine Liturgical mode, Tiby 3rd Byzantine mode

69 tone equal mode:

4 7 7 4 7 4 7 4 7 7 4 7 Meantone Chromatic (5/17-comma)

70 tone equal modes:

3 7 7 3 10 1 9 5 5 9 1 10 Jorgensen 5&7
7 5 5 7 5 7 5 7 5 5 7 5 Twelve-tone Chromatic (1/24-comma positive)
5 7 5 5 7 5 7 5 5 7 5 7 Seventy tone Schismic

72 tone equal modes:

7 5 7 4 7 5 7 7 4 7 5 7 "Just" Chromatic
5 5 20 5 5 20 12 Parachromatic Mixolydian
5 20 5 5 20 12 5 Parachromatic Lydian
20 5 5 20 12 5 5 Parachromatic Phrygian
5 5 20 12 5 5 20 Parachromatic Dorian
5 20 12 5 5 20 5 Parachromatic Hypolydian
20 12 5 5 20 5 5 Parachromatic Hypophrygian
12 5 5 20 5 5 20 Parachromatic Hypodorian
5 10 15 5 10 15 12 Soft Diatonic Mixolydian
10 15 5 10 15 12 5 Soft Diatonic Lydian
15 5 10 15 12 5 10 Soft Diatonic Phrygian
5 10 15 12 5 10 15 Soft Diatonic Dorian
10 15 12 5 10 15 5 Soft Diatonic Hypolydian
15 12 5 10 15 5 10 Soft Diatonic Hypophrygian
12 5 10 15 5 10 15 Soft Diatonic Hypodorian
9 10 11 9 10 11 12 Equable Diatonic Mixolydian
10 11 9 10 11 12 9 Equable Diatonic Lydian
11 9 10 11 12 9 10 Equable Diatonic Phrygian
9 10 11 12 9 10 11 Equable Diatonic Dorian
10 11 12 9 10 11 9 Equable Diatonic Hypolydian
11 12 9 10 11 9 10 Equable Diatonic Hypophrygian
12 9 10 11 9 10 11 Equable Diatonic Hypodorian
11 7 12 12 11 7 12 Misaelides 1st Byzantine Liturgical mode
12 12 11 7 12 11 7 Misaelides 3rd Byzantine Liturgical mode
7 12 12 11 7 12 11 Misaelides 4th Byzantine Liturgical mode
11 7 12 15 3 12 12 Misaelides 1st plagal Byzantine Liturgical mode
7 20 3 12 7 20 3 Misaelides 2nd plagal Byzantine Liturgical mode
5 19 6 12 5 19 6 Xenakis Byzantine Liturgical Chromatic
7 16 7 12 7 16 7 Xenakis Byzantine Liturgical Soft Chromatic
12 11 7 12 12 11 7 Xenakis Byzantine Liturgical Diatonic, Misaelides 4th plagal Byzantine
6 20 4 12 9 10 11 Byzantine Palace mode
4 15 4 15 4 15 15 Seventy-two tone Kleismic-7
4 4 11 4 11 4 4 11 4 4 11 Seventy-two tone Kleismic-11
7 7 7 7 7 7 7 7 7 2 5 2 Twelve-tone Miracle

74 tone equal mode:

5 7 7 5 7 5 7 5 7 7 5 7 Meantone Chromatic (3/14-comma)

77 tone equal modes:

7 6 6 7 6 7 6 7 6 6 7 6 Meantone Chromatic (18/59-comma)
7 6 7 5 7 6 7 7 5 7 6 7 "Just" Chromatic

79 tone equal mode:

6 7 7 6 7 6 7 6 7 7 6 7 Meantone Chromatic (3/20-comma)

81 tone equal mode:

5 8 8 5 8 5 8 5 8 8 5 8 Meantone Chromatic (5/19-comma)

84 tone equal mode:

8 6 8 5 8 6 8 8 5 8 6 8 "Just" Chromatic
11 8 11 8 11 8 11 8 8 Smith's Eighty-four tone Orwell
9 9 9 4 9 9 9 4 9 9 4 Eighty-four tone Semisixths-11

88 tone equal mode:

5 9 9 5 9 5 9 5 9 9 5 9 Meantone Chromatic (3/10-comma)

89 tone equal mode:

8 7 7 8 7 8 7 8 7 7 8 7 Meantone Chromatic (1/26-comma)

91 tone equal mode:

7 8 8 7 8 7 8 7 8 8 7 8 Meantone Chromatic (1/7-comma)

94 tone equal modes:

9 7 7 9 7 9 7 9 7 7 9 7 Twelve-tone Chromatic (1/125-comma positive)
7 9 7 7 9 7 9 7 7 9 7 9 Ninety-four tone Schismic

96 tone equal mode:

9 7 9 6 9 7 9 9 6 9 7 9 "Just" Chromatic

98 tone equal mode:

7 9 9 7 9 7 9 7 9 9 7 9 Meantone Chromatic (5/27-comma)

99 tone equal mode:

10 7 7 10 7 10 7 10 7 7 10 7 Twelve-tone Chromatic (1/20-comma positive)

101 tone equal mode:

9 8 8 9 8 9 8 9 8 8 9 8 Meantone Chromatic (1/22-comma)

103 tone equal mode:

8 9 9 8 9 8 9 8 9 9 8 9 Meantone Chromatic (3/22-comma)

106 tone equal modes with Turkish makams:

11 23 10 18 11 23 10 Makam Suzinak II
18 11 26 7 18 8 8 10 Makam Nikriz
11 23 10 18 11 23 10 Makam Hicazkar I-Kadim
11 23 10 18 11 26 7 Makam Hicazkar
14 5 7 11 7 18 8 8 10 18 Makam Isfahan II
14 2 10 18 11 23 10 18 Makam Karcigar
14 2 10 18 11 5 10 8 10 18 Makam Araban
14 2 10 3 15 11 7 8 3 15 11 7 Makam Hisar
11 15 18 18 8 18 18 Makam Kurdi
11 26 7 18 8 8 10 18 Makam Hicaz
11 26 7 18 8 18 18 Makam Humayun
11 26 7 18 8 3 15 11 7 Makam Sahnaz
19 7 18 18 8 3 15 11 7 Makam Buselik
19 15 10 18 16 10 8 10 Makam Nisaburek
10 18 11 23 10 18 8 8 Makam Huzzam
18 7 18 8 11 7 18 11 8 Makam Nisabur

108 tone equal mode:

10 8 10 7 10 8 10 10 7 10 8 10 "Just" Chromatic

118 tone equal modes:

11 9 9 11 9 11 9 11 9 9 11 9 Meantone Chromatic (1/83-comma)
11 9 11 7 11 9 11 11 7 11 9 11 "Just" Chromatic

120 tone equal mode:

11 9 11 8 11 9 11 11 8 11 9 11 "Just" Chromatic

152 tone equal modes:

15 11 11 15 11 15 11 15 11 11 15 11 Twelve-tone Chromatic (1/32-comma positive)
14 12 14 9 14 12 14 14 9 14 12 14 "Just" Chromatic

171 tone equal modes:

16 13 13 16 13 16 13 16 13 13 16 13 Meantone Chromatic (1/107-comma)
16 13 16 10 16 13 16 16 10 16 13 16 "Just" Chromatic
13 16 13 13 16 13 16 13 13 16 13 16 Hundred-seventy-one tone Schismic

183 tone equal modes:

17 14 14 17 14 17 14 17 14 14 17 14 Meantone Chromatic (1/68-comma)
17 14 17 11 17 14 17 17 11 17 14 17 "Just" Chromatic