Thursday, April 11, 2013

List of musical modes

List of musical modes

Number of modes: 1295 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. The eight Byzantine Liturgical tones or modes may vary in their final or closing note, and even in genus, depending on the type of text being set. Listings reflect a given theorist's description of a specified mode, or often, one form of that mode.

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 2Thai mode 1
1 2 1 2 1Thai mode 2
2 1 1 2 1Thai 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 2Patet Lima, Patet Nem, Jawar, Selisir
[1] 1 2 1 1 2Patet Barang
1 2 1 1 2Patet Lima, Nem with Pelog
[1] 1 1 2 1 2Patet Barang with Pelog, Manangis, Slendro Gede, Pergenter 2
[2] 1 1 2 1 2Liwung, Pergenter 1, Pengenter Alit
[3] 1 1 2 1 2Tembung
[4] 1 1 2 1 2Nyorog, Sunaren
[5] 1 1 2 1 2Nyorog handap, Baro
2 1 1 2 1Pelog
1 3 1 1 1Dangsoe
1 2 1 2 1Bem, Pengenter
2 1 2 1 1Miring, Slendro 2
1 1 1 3 1Manyura
1 1 1 1 1 1 1Lebeng
[2] 1 1 2 3Slendro Alit
[1] 1 2 2 2Jegog
[4] 2 1 2 1 1Slendro 1
[1] 2 1 2 1 1Slendro 3
[3] 2 1 2 1 1Slendro 4

8 tone equal mode:

2 1 2 2 1Agmon Diatonic DS1

9 tone equal modes:

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

10 tone equal mode:

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

11 tone equal modes:

2 2 2 2 1 2Schulter Hexatonic
2 2 1 2 1 2 1Orgone-7

12 tone modes:

5 7Honchoshi: Japan
7 5Niagari: Japan
10 2Warao ditonic: South America
3 4 5Ute tritonic, Peruvian tritonic 2
4 3 5Raga Malasri, Peruvian tritonic 1
4 5 3Raga Bilwadala
5 2 5Raga Sarvasri, Warao tritonic: South America
5 5 2Sansagari: Japan
6 1 5Raga Ongkari
1 5 1 5Messiaen truncated mode 5
5 1 5 1Messiaen truncated mode 5 inverse
2 4 2 4Messiaen truncated mode 6
4 2 4 2Messiaen truncated mode 6 inverse
1 4 3 4Raga Lavangi, Gowleeswari
2 1 7 2Warao tetratonic: South America
2 2 3 5Eskimo tetratonic (Alaska: Bethel)
2 3 2 5Genus primum
2 3 3 4Raga Haripriya
2 3 4 3Raga Bhavani
2 4 5 1Raga Sumukam
4 2 5 1Raga Nigamagamini
4 3 3 2Raga Mahathi, Antara Kaishiaki
3 4 3 2Bi Yu: China
5 2 3 2Genus primum inverse
2 3 2 1 4Han-kumoi: Japan, Raga Shobhavari, Sutradhari
2 1 4 1 4Hira-joshi, Kata-kumoi, Yona Nuki Minor: Japan, Aeolian Pentatonic
1 4 2 1 4Hon-kumoi-joshi, Sakura, Akebono II: Japan, Olympos Enharmonic, Raga Salanganata, Saveri, Gunakri (Gunakali), Latantapriya, Ambassel: Ethiopia
1 4 2 3 2Kokin-joshi, Miyakobushi, Han-Iwato, In Sen: Japan, Raga Vibhavari (Revati), Bairagi, Lasaki
1 4 1 4 2Iwato: Japan
2 3 2 2 3Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Devakriya, Durga, Suddha Saveri, Arabhi, Scottish Pentatonic, Blues Major, Major complement
2 2 3 2 3Major Pentatonic, Ryosen, Yona Nuki Major: 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 2Yo: Japan, Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China
2 3 3 2 2Chaio: China
2 2 2 3 3Kung: China
1 4 2 2 3Altered Pentatonic, Raga Manaranjani II
2 1 2 4 3Raga Abhogi
4 2 1 4 1Raga Amritavarshini, Malashri, Shilangi, Lydian Pentatonic
2 1 2 3 4Raga Audav Tukhari
4 1 4 2 1Raga Bhinna Shadja, Kaushikdhvani, Hindolita
1 2 4 1 4Balinese Pelog, Madenda Modern, Phrygian Pentatonic, Raga Bhupalam, Bhupala Todi, Bibhas, Tezeta Minor: Ethiopia
2 2 3 1 4Raga Bhupeshwari, Janasammodini
2 2 1 2 5Raga Budhamanohari
3 2 4 2 1Raga Chandrakauns (modern), Marga Hindola, Rajeshwari
3 2 4 1 2Raga Chandrakauns (Kafi), Surya, Varamu
3 2 3 3 1Raga Chandrakauns (Kiravani)
1 2 3 2 4Raga Chhaya Todi, Locrian Pentatonic 1
1 2 2 3 4Raga Chitthakarshini
2 3 2 4 1Raga Desh
1 6 1 3 1Raga Deshgaur
5 2 1 3 1Raga Devaranjani (Devaranji)
3 2 2 3 2Minor Pentatonic, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Minyo: Japan, Lai Yai, Lai Noi: Laos, Peruvian Pentatonic 2, Blues Pentatonic, Bati: Ethiopia
4 2 1 2 3Raga Dhavalashri
4 1 2 4 1Raga Gambhiranata, Ionian Pentatonic, Ryukyu: Japan, Pelog Degung Modern
1 4 2 4 1Raga Gauri
4 1 3 3 1Bacovia: Romania, Raga Girija
2 3 4 1 2Raga Guhamanohari
2 2 3 4 1Raga Hamsadhvani (Hansadhvani)
3 3 2 2 2Raga Harikauns, Chin: China
4 2 3 2 1Raga Hindol (Sunada Vinodini), Sanjh ka Hindol
3 2 1 4 2Raga Jayakauns
4 1 4 1 2Raga Khamaji Durga
3 2 2 1 4Raga Kokil Pancham
1 4 3 3 1Raga Kshanika
1 1 6 3 1Raga Kumarapriya
2 2 2 5 1Raga Kumurdaki (Kumudki)
5 2 2 1 2Raga Kuntvarali (Kuntalavarali)
3 2 3 2 2Raga Malkauns (Malakosh), Raga Hindola, Blues Minor, Man Gong, Quan Ming, Yi Ze, Jiao: China
4 3 2 2 1Raga Mamata
1 3 3 3 2Raga Manaranjani I
2 5 2 1 2Raga Matha Kokila (Matkokil)
1 3 1 3 4Raga Megharanjani, Syrian pentatonic
1 3 1 6 1Raga Megharanji
3 1 3 2 3Raga Mohanangi
3 3 1 4 1Raga Multani
1 1 4 1 5Raga Nabhomani
4 1 2 2 3Raga Nagasvaravali, Raga Mand
3 2 2 4 1Raga Nata, Udayaravicandrika, Madhuranjani
2 2 5 2 1Raga Neroshta
2 3 3 3 1Raga Priyadharshini
2 1 2 2 5Raga Purnalalita, Chad Gadyo: Jewish, Ghana Pentatonic 1, Nando-kyemyonjo: Korea
5 2 2 2 1Raga Puruhutika, Purvaholika
1 1 6 1 3Raga Putrika
1 3 3 2 3Raga Rasika Ranjani, Vibhas (Marva), Scriabin
2 3 4 2 1Raga Rasranjani
1 3 3 1 4Raga Reva, Revagupti, Ramkali, Vibhas (Bhairava)
1 2 4 3 2Raga Rukmangi
3 3 1 3 2Raga Samudhra Priya, Madhukauns (pentatonic)
1 5 1 1 4Raga Saugandhini, Yashranjani
2 1 4 2 3Raga Sivaranjini (Shivranjani), Akebono I: Japan, Dorian Pentatonic
3 4 1 2 2Raga Shailaja, Varini
2 4 1 2 3Raga Shri Kalyan
2 4 3 2 1Raga Shubravarni
2 4 1 4 1Raga Vaijayanti, Hamsanada
4 3 2 1 2Raga Valaji
4 1 2 1 4Raga Zilaf
2 2 3 3 2Dominant Pentatonic
4 1 2 3 2Mixolydian Pentatonic, Raga Savethri
3 1 2 4 2Locrian Pentatonic 2
3 2 2 2 3Minor added sixth Pentatonic, Kyemyonjo: Korea
2 2 2 2 2 2Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic
2 3 2 2 1 2P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Mixolydian Hexatonic
2 2 2 3 1 2Prometheus (Scriabin), Mystic, Raga Barbara
1 3 2 3 1 2Prometheus Neapolitan
3 2 1 1 3 2Blues scale I, Raga Nileshwari
1 2 2 3 2 2Ritsu: Japan, Raga Suddha Todi
2 2 1 2 2 3Arezzo Major Diatonic Hexachord, Raga Kambhoji, Devarangini, Sama (Syama), Scottish Hexatonic
2 1 2 2 3 2Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island)
2 2 2 2 3 1Eskimo Hexatonic 2 (Alaska: Point Hope)
2 1 4 2 2 1Hawaiian
2 1 2 1 3 3Pyramid Hexatonic
1 2 1 2 1 5Istrian: Croatia
1 2 2 1 3 3Double-Phrygian Hexatonic
2 1 3 1 4 1Raga Amarasenapriya
2 1 2 4 1 2Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari
1 3 3 1 3 1Raga Bauli
3 1 1 2 3 2Raga Bhanumanjari, Jog
1 2 3 2 2 2Raga Bhavani
2 3 2 1 3 1Raga Bhinna Pancama
2 2 2 1 4 1Raga Caturangini, Ratnakanthi
1 1 4 1 2 3Raga Chandrajyoti
1 3 2 1 1 4Raga Dhavalangam
2 2 1 1 1 5Raga Dipak
1 2 2 2 3 2Raga Gandharavam
1 3 1 2 4 1Raga Gaula
2 1 2 3 3 1Raga Ghantana, Kaushiranjani (Kaishikiranjani)
3 2 2 1 2 2Raga Gopikavasantam, Desya Todi, Jayantasri, Phrygian Hexatonic
1 2 3 2 3 1Raga Gurjari Todi
1 3 2 3 2 1Raga Hamsanandi, Marva, Pancama, Puriya, Sohni
2 2 1 4 2 1Raga Hamsa Vinodini
4 1 2 2 2 1Raga Hari Nata, Genus secundum
1 3 2 2 1 3Raga Hejjajji
2 4 1 1 2 2Raga Jaganmohanam
1 4 2 2 2 1Raga Jivantika
3 3 1 3 1 1Raga Jivantini, Gaurikriya
4 2 1 1 2 2Raga Jyoti
1 3 3 1 1 3Raga Kalagada (Kalgada)
1 4 2 1 1 3Raga Kalakanthi
1 3 1 2 2 3Raga Kalavati, Ragamalini
4 1 2 1 2 2Raga Kamalamanohari
1 2 4 1 2 2Raga Kashyapi
4 1 2 2 1 2Raga Khamas, Desya Khamas, Bahudari
2 2 3 2 2 1Raga Kumud, Sankara (Shankara), Prabhati, Lydian Hexatonic
1 3 1 3 3 1Raga Lalita, Sohini, Hamsanandi, Lalit Bhairav
2 2 3 1 3 1Raga Latika
3 3 1 2 1 2Raga Madhukauns (hexatonic)
2 4 1 3 1 1Raga Malarani, Hamsanada
1 3 3 2 1 2Raga Malayamarutam
2 1 4 2 1 2Raga Manavi
1 3 2 1 4 1Raga Mandari, Gamakakriya, Hamsanarayani
3 2 2 2 1 2Raga Manohari, Malavasri
2 2 2 3 2 1Raga Mruganandana
2 3 2 2 2 1Raga Nagagandhari
2 2 1 2 4 1Raga Nalinakanti, Kedaram, Vilasini
2 3 2 1 2 2Raga Navamanohari
2 1 3 2 1 3Raga Neelangi
2 4 1 2 2 1Raga Nishadi
1 4 2 1 3 1Raga Padi
4 1 2 1 3 1Raga Paraju (Paraz, Pharas), Ramamanohari, Sindhu Ramakriya, Kamalamanohari
1 4 2 1 2 2Raga Phenadyuti, Insen, Honchoshi, Niagari: Japan
1 2 2 1 4 2Honchoshi plagal form: Japan
1 3 1 2 1 4Raga Purna Pancama, Malahari, Geyahejjajji, Kannadabangala
2 2 1 4 1 2Raga Rageshri (Rageshwari), Nattaikurinji (Natakuranji)
2 1 3 3 2 1Raga Ranjani, Rangini
3 1 2 1 4 1Raga Rasamanjari
1 4 2 2 1 2Raga Rasavali
1 3 1 4 1 2Raga Rudra Pancama
1 2 4 2 1 2Raga Salagavarali
2 3 2 3 1 1Raga Brindabani Sarang, Megh (Megh Malhar)
2 2 1 3 3 1Raga Sarasanana
2 4 1 2 1 2Raga Sarasvati
4 1 2 1 1 3Raga Saravati (Sharavati)
2 1 3 1 3 2Raga Simharava (Sinharavam), Gopikatilaka
2 1 2 2 4 1Raga Sindhura Kafi
2 2 1 2 3 2Raga Siva Kambhoji, Vivardhini, Andhali
2 1 2 2 2 3Raga Suddha Bangala, Gauri Velavali
1 1 3 3 1 3Raga Suddha Mukhari
1 2 2 2 1 4Raga Suddha Simantini
2 1 3 1 1 4Raga Syamalam
3 2 2 1 3 1Raga Takka
4 1 2 3 1 1Raga Tilang, Savitri, Brindabani Tilang
2 1 4 1 2 2Raga Trimurti
1 3 1 4 2 1Raga Vasanta, Chayavati
1 3 1 3 2 2Raga Vasantabhairavi
2 1 3 1 2 3Raga Vijayanagari
1 1 4 1 4 1Raga Vijayasri
4 2 1 3 1 1Raga Vijayavasanta
1 2 2 3 3 1Raga Viyogavarali
4 2 1 2 1 2Raga Vutari
2 2 2 1 2 3Raga Yamuna Kalyani, Kalyani Keseri, Airavati, Ancient Chinese
1 1 4 1 1 4Messiaen mode 5, Two-semitone Tritone scale
4 1 1 4 1 1Messiaen mode 5 inverse
1 3 1 3 1 3Messiaen truncated mode 3, Prometheus (Liszt)
3 1 3 1 3 1Messiaen truncated mode 3 inverse, Major Augmented, Genus tertium, Raga Devamani
1 2 3 1 2 3Messiaen truncated mode 2
1 3 2 1 3 2Messiaen truncated mode 2, Raga Indupriya, Tritone scale
1 2 1 2 4 2Super-Locrian Hexamirror
2 1 3 2 3 1Takemitsu Tree Line mode 1
2 1 3 2 2 2Takemitsu Tree Line mode 2
G = Greek, M = Medieval (ecclesiastical)
1 2 2 1 2 2 2G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, Pien chih: China, Makam Lami, Yishtabach: Jewish
2 2 1 2 2 2 1G.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, DS2
2 1 2 2 2 1 2G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Nayaki Kanada, Sriraga, Ritigaula, Huseni, Kanara, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam
1 2 2 2 1 2 2G.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 1G.Hypolydian, M.Lydian, Kalyan That (Yaman), Mela Mecakalyani, Raga Shuddh Kalyan, Ping, Kung, Gu: China
2 2 1 2 2 1 2G.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, Enharmonic Byzantine Liturgical mode, Ching, Shang: China
2 1 2 2 1 2 2G.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 2Chromatic Mixolydian
1 3 1 1 3 2 1Chromatic Lydian, Raga Lalit, Bhankar
3 1 1 3 2 1 1Chromatic Phrygian
1 1 3 2 1 1 3Chromatic Dorian, Mela Kanakangi, Raga Kanakambari
1 3 2 1 1 3 1Chromatic Hypolydian, Purvi That, Mela Kamavardhani, Raga Shri, Pantuvarali, Basant, Kasiramakriya, Suddharamakriya, Puriya Dhanashri, Dhipaka, Pireotikos: Greece
3 2 1 1 3 1 1Chromatic Hypophrygian, Blues scale III
2 1 1 3 1 1 3Chromatic Hypodorian, Relative Blues scale, Raga Dvigandharabushini
2 3 1 1 3 1 1Chromatic Mixolydian inverse
1 1 2 3 1 1 3Chromatic Phrygian inverse
1 1 3 1 1 2 3Chromatic Hypophrygian inverse
3 1 1 3 1 1 2Chromatic Hypodorian inverse
2 1 2 2 2 2 1Melodic Minor ascending, Jazz Minor, Minor-Major, Mela Gaurimanohari, Raga Patdip, Velavali, Deshi(2), Mischung 1, Hawaiian
2 1 2 2 1 3 1Harmonic Minor, 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 2Harmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran
2 2 1 2 1 3 1Harmonic Major, Mela Sarasangi, Raga Haripriya, Simhavahini, Mischung 2, Ethiopian, Tabahaniotiko: Greece
1 2 1 3 1 2 2Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4
2 2 1 3 1 2 1Ionian sharp 5
2 2 2 2 1 2 1Lydian Augmented, Lydian sharp 5
1 2 2 1 3 1 2Locrian natural 6, Maqam Tarznauyn
2 2 1 1 2 2 2Major Locrian
2 1 2 1 2 2 2Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5
1 2 1 2 2 2 2Super Locrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel
2 1 2 1 2 3 1Locrian nr.2
1 2 1 2 2 1 3Ultra Locrian, Mixolydian sharp 1
1 2 2 1 2 1 3Locrian double-flat 7
2 3 1 2 1 2 1Nohkan Flute scale: Japan
2 1 1 3 1 2 2Sabach (Sambah): Greece
2 1 2 1 3 1 2Makam Karcigar, Maqam Nahawand Murassah, Dorian flat 5, Kiourdi ascending, Kartzihiar: Greece
2 1 2 1 3 2 1Jeths' mode
1 1 3 2 1 2 2Mela Ratnangi, Raga Phenadyuti
1 1 3 2 1 3 1Mela Ganamurti, Raga Ganasamavarali
1 1 3 2 2 1 2Mela Vanaspati, Raga Bhanumati
1 1 3 2 2 2 1Mela Manavati, Raga Manoranjani
1 1 3 2 3 1 1Mela Tanarupi, Raga Tanukirti
1 2 2 2 1 1 3Mela Senavati, Raga Senagrani, Malini
1 2 2 2 1 3 1Neapolitan Minor, Mela Dhenuka, Raga Bhinnasadjam, Dhunibinnashadjam, Takka, Maqam Shahnaz Kurdi, Hungarian Gipsy
1 2 2 2 2 2 1Neapolitan Major, Lydian Major, Mela Kokilapriya, Raga Kokilaravam
1 2 2 2 2 1 2Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Dorian flat 2, Raga Natabharanam, Ahiri Todi
1 2 2 2 3 1 1Mela Rupavati
1 3 1 1 2 3 1Raga Lalita, Persian, Chromatic Hypolydian inverse, Raga Suddha Pancama
1 3 1 2 1 1 3Mela Gayakapriya, Raga Kalakanti, Gipsy Hexatonic
1 3 1 2 1 2 2Mela Vakulabharanam, Raga Jogiya, Ahiri, Vativasantabhairavi, Zilof, Ahava Rabba, Freygish: Jewish, Maqam Hijaz-Nahawand, Humayun, Spanish Gipsy, Dorico Flamenco: Spain, Hitzaz: Greece, Harmonic Major inverse, Phrygian Dominant, Phrygian Major
1 3 1 2 1 3 1Major Gipsy, 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 1Mela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram, Jaganmohini
1 3 1 2 3 1 1Mela Hatakambari, Raga Jeyasuddhamalavi
2 1 2 1 1 3 2Modified Blues
2 1 2 2 1 1 3Mela Jhankaradhvani, Raga Jhankara Bhramavi
2 1 2 2 3 1 1Mela Varunapriya, Viravasantham
2 2 1 2 1 1 3Mela Mararanjani, Raga Keseri
2 2 1 2 1 2 2Mischung 6, Mixolydian flat 6, Major-Minor, Mela Carukesi, Raga Charukeshi, Tarangini
2 2 1 2 3 1 1Mela Naganandini, Raga Nagabharanam, Samanta
3 1 1 2 1 1 3Mela Yagapriya, Raga Kalahamsa
3 1 1 2 1 2 2Mela Ragavardhani, Raga Cudamani
3 1 1 2 1 3 1Mela Gangeyabhusani, Raga Gangatarangini, Sengiach: Greece
3 1 1 2 2 1 2Mela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Chayanata, Bluesy Rock 'n Roll
3 1 1 2 2 2 1Mela Sulini, Raga Sailadesakshi, Raga Trishuli, Houzam: Greece
3 1 1 2 3 1 1Mela Calanata, Raga None, Chromatic Dorian inverse
1 1 4 1 1 1 3Mela Salaga
1 1 4 1 1 2 2Mela Jalarnava
1 1 4 1 1 3 1Mela Jhalavarali, Raga Varali, Jinavali
1 1 4 1 2 1 2Mela Navanitam, Raga Nabhomani
1 1 4 1 2 2 1Mela Pavani, Raga Kumbhini
1 1 4 1 3 1 1Mela Raghupriya, Raga Ravikriya, Ghandarva
1 2 3 1 1 1 3Mela Gavambodhi, Raga Girvani
1 2 3 1 1 2 2Mela Bhavapriya, Raga Bhavani, Kalamurti
1 2 3 1 1 3 1Todi That, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam, Chromatic Lydian inverse, Maqam Athar Kurd
1 2 3 1 2 1 2Mela Sadvidhamargini, Raga Sthavarajam, Tivravahini
1 2 3 1 2 2 1Mela Suvarnangi, Raga Sauviram
1 2 3 1 3 1 1Mela Divyamani
1 3 2 1 1 1 3Mela Dhavalambari, Foulds' Mantra of Will scale
1 3 2 1 1 2 2Mela Namanarayani, Raga Narmada, Pratapa
1 3 2 1 2 1 2Mela Ramapriya, Raga Ramamanohari, Romanian Major, Petrushka chord
1 3 2 1 2 2 1Marva That, Mela Gamanasrama, Raga Partiravam, Puriya, Puriya Kalyan, Purvikalyani, Sohani, Bairari, Peiraiotikos: Greece
1 3 2 1 3 1 1Mela Visvambhari, Raga Vamsavathi
1 3 2 2 2 1 1Verdi's Scala enigmatica ascending
1 3 1 3 2 1 1Verdi's Scala enigmatica descending
2 1 3 1 1 1 3Mela Syamalangi, Raga Shyamalam
2 1 3 1 1 2 2Minor Gipsy, Mela Sanmukhapriya, Raga Camara, Chinthamani
2 1 3 1 1 3 1Double Harmonic Minor, Hungarian Minor, Mela Simhendramadhyama, Raga Madhava Manohari, Maqam Nawa Athar, Hisar, Flamenco Mode, Niavent: Greece
2 1 3 1 2 1 2Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Dorian sharp 4, Misheberekh: Jewish, Souzinak (Peiraiotiko Minore), Nigriz: Greece, Ukrainian Minor, Kaffa, Gnossiennes
2 1 3 1 2 2 1Lydian Diminished, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
2 1 3 1 3 1 1Mela Nitimati, Raga Nisada, Kaikavasi
2 2 2 1 1 1 3Mela Kantamani, Raga Kuntala, Srutiranjani
2 2 2 1 1 2 2Lydian Minor, Mela Risabhapriya, Raga Ratipriya
2 2 2 1 1 3 1Mela Latangi, Raga Gitapriya, Hamsalata
2 2 2 1 2 1 2Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Overtone, Lydian-Mixolydian, Bartok
2 2 2 1 3 1 1Mela Citrambari, Raga Chaturangini
2 2 1 4 1 1 1Raga Ragesri
2 3 2 2 1 1 1Raga Sorati, Sur Malhar
3 1 2 1 1 1 3Mela Sucaritra, Raga Santanamanjari
3 1 2 1 1 2 2Mela Jyotisvarupini, Raga Jotismatti
3 1 2 1 1 3 1Mela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
3 1 2 1 2 1 2Hungarian Major, Mela Nasikabhusani, Raga Nasamani
3 1 2 1 2 2 1Mela Kosalam, Raga Kusumakaram, Lydian sharp 2
3 1 2 1 3 1 1Mela Rasikapriya, Raga Rasamanjari, Hamsagiri
3 1 2 2 1 2 1Aeolian flat 1
4 1 2 2 1 1 1Raga Madhuri
1 3 1 1 3 1 2Oriental, Raga Ahira-Lalita, Minor Gipsy inverse, Tsinganikos: Greece
2 2 2 2 2 1 1Leading Whole-tone
1 1 2 2 2 2 2Leading Whole-tone inverse
1 3 1 1 1 2 2 1Raga Bhatiyar
2 1 3 1 1 1 1 2Raga Cintamani
2 1 2 2 2 1 1 1Raga Mian Ki Malhar, Bahar, Sindhura
2 1 2 2 1 1 1 2Raga Mukhari, Anandabhairavi, Deshi, Manji, Gregorian nr.1, Dorian/Aeolian mixed
1 3 1 1 1 1 3 1Raga Ramkali (Ramakri)
1 3 1 2 1 1 2 1Raga Saurashtra
2 1 1 1 2 2 1 2Minor Bebop, Dorian Bebop, Raga Zilla, Mixolydian/Dorian mixed
2 2 1 2 2 1 1 1Genus diatonicum, Dominant Bebop, Raga Khamaj, Desh Malhar, Alhaiya Bilaval, Devagandhari, Bihagara, Maqam Shawq Awir, Gregorian nr.6, Major/Mixolydian mixed, Chinese Eight-Tone, Rast: Greece
2 2 1 2 1 1 2 1Major Bebop, Altered Mixolydian
2 1 2 1 1 2 1 2Blues scale II
2 1 2 1 1 1 3 1Algerian, Sabiren
1 2 1 1 2 1 2 2Spanish Phrygian
1 2 1 1 1 2 2 2Espla's scale, Eight-tone Spanish
1 2 2 1 1 1 3 1Half-diminished Bebop
1 2 2 2 1 1 2 1Neapolitan Major and Minor mixed
1 2 3 1 1 2 1 1Neveseri: Greece
2 1 2 1 2 1 2 1Diminished, Modus conjunctus, Messiaen mode 2 inverse, Whole-Half step scale
2 2 1 1 1 2 2 1Ishikotsucho: 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 1Verdi's Scala enigmatica
2 1 2 2 1 1 2 1Zirafkend: Arabic, Melodic Minor Bebop
1 1 1 2 2 2 1 2Adonai Malakh: Jewish
1 2 1 2 2 1 2 1Magen Abot: Jewish
2 1 2 2 1 2 1 1Maqam Nahawand, Farahfaza, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor
1 1 1 2 2 1 3 1Harmonic and Neapolitan Minor mixed
1 3 1 2 1 2 1 1Maqam Hijaz (Hedjaz)
1 2 1 1 1 3 1 2Maqam Shadd'araban
1 2 1 2 1 2 1 2Octatonic, Messiaen mode 2, Dominant Diminished, Diminished Blues, Half-Whole step scale
1 1 1 3 1 1 1 3Messiaen mode 4
3 1 1 1 3 1 1 1Messiaen mode 4 inverse
1 1 2 2 1 1 2 2Messiaen mode 6
2 2 1 1 2 2 1 1Messiaen mode 6 inverse
1 1 1 2 2 1 2 2Phrygian/Aeolian mixed
1 2 2 1 1 1 2 2Phrygian/Locrian mixed
1 2 2 2 1 2 1 1Hamel
1 2 2 1 1 2 2 1Van der Horst Octatonic
1 2 2 1 2 2 1 1Prokofiev
1 2 1 2 1 2 2 1Shostakovich
1 2 1 1 2 2 1 2JG Octatonic
1 1 2 1 1 2 1 1 2Messiaen mode 3, Tsjerepnin mode 3
2 1 1 2 1 1 2 1 1Messiaen mode 3 inverse, Tsjerepnin mode 2
2 1 2 2 1 1 1 1 1Raga Pilu, Full Minor
2 1 1 1 2 2 1 1 1Raga Malgunji, Ramdasi Malhar, Major/Dorian mixed
2 2 1 2 1 1 1 1 1Raga Pahadi
2 1 1 1 1 1 2 1 2Blues Enneatonic
2 1 2 1 1 1 1 1 2Kiourdi: Greece
2 2 1 1 1 2 1 1 1Taishikicho: Japan, Ryo: Japan, Raga Chayanat, Lydian/Mixolydian mixed
1 2 1 1 2 1 1 2 1Genus chromaticum, Tsjerepnin mode 1
1 2 1 1 2 1 2 1 1Moorish Phrygian
1 1 2 1 1 1 2 1 2Youlan scale: China
1 1 1 2 2 1 1 1 2Chromatic and Diatonic Dorian mixed
1 1 2 1 2 1 1 2 1Chromatic and Permuted Diatonic Dorian mixed
2 1 1 1 2 1 1 1 2Houseini: Greece, Modes of Major Pentatonic mixed
1 1 1 1 2 1 1 1 1 2Messiaen mode 7
2 1 1 1 1 2 1 1 1 1Messiaen mode 7 inverse
2 1 1 1 2 1 1 1 1 1Major/Minor mixed
2 1 1 1 1 1 2 1 1 1Minor Pentatonic with leading tones
2 1 1 1 1 1 1 1 2 1Maqam Shawq Afza
1 1 1 1 1 2 1 2 1 1Raga Sindhi-Bhairavi
1 2 1 1 1 1 1 1 1 2Maqam Tarzanuyn
1 1 2 1 1 1 1 2 1 1Symmetrical Decatonic
1 1 1 1 1 1 1 1 1 1 1 1Twelve-tone Chromatic

13 tone equal modes:

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

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

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

14 tone equal mode:

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

15 tone equal modes:

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

16 tone equal modes:

2 2 2 1 2 2 2 2 1Agmon Diatonic DS3, Goldsmith, Armodue
1 3 1 3 1 3 1 3Octatonic
3 1 3 1 3 1 3 1Neo-Diminished
2 2 3 2 2 2 3Pseudo Pelog
2 3 2 2 3 1 3Anti-Harmonic Minor
2 3 2 2 3 2 2Mavila-7
2 2 1 2 2 2 2 1 2Wilson
2 1 2 1 2 2 1 2 1 2Lemba-10
1 2 1 2 1 2 1 2 1 2 1Gorgo-11
1 2 1 1 2 1 1 2 1 1 2 1Flavell's Blues

17 tone equal modes:

2 1 1 2 1 2 1 2 1 1 2 1Twelve-tone Chromatic (2/11-comma positive)
3 3 1 3 3 3 1Seventeen-tone Major
3 1 3 3 1 3 3Seventeen-tone Natural Minor
3 1 3 3 3 3 1Seventeen-tone Melodic Minor
3 1 3 3 1 5 1Seventeen-tone Harmonic Minor
3 3 1 3 1 5 1Seventeen-tone Harmonic Major
3 3 4 3 4Seventeen-tone Major Pentatonic
4 3 3 4 3Seventeen-tone Minor Pentatonic, Salendro Sejati: Sunda
3 4 3 4 3Seventeen-tone Suspended Pentatonic
6 1 3 6 1Pelog Degung Sejati: Sunda
6 1 6 3 1Sorog Madenda Sejati: Sunda
2 5 3 2 5Malaysian Pelog
2 3 2 3 2 3 2Neutral Dorian
3 2 3 1 3 2 3Scorp
2 1 3 1 3 3 1 2 1Hajdu non-octave mode
2 1 2 2 1 2 2 2 1 2Neutral Dorian Decatonic
1 2 1 2 1 2 1 2 1 2 2Machine-11

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 3Safi al-Din's maqam `Ussaq
3 1 3 3 1 3 3Safi al-Din's maqam Nawa
1 3 3 1 3 3 3Safi al-Din's maqam Abu Salik
3 2 2 3 2 2 3Safi al-Din's maqam Rast
2 3 2 2 3 2 2 1Safi al-Din's maqam `Iraq
3 2 2 3 2 2 2 1Safi al-Din's maqam Isfahan
2 2 3 2 2 1 3 2Safi al-Din's maqam Zirafkand
2 3 2 2 1 3 2 2Safi al-Din's maqam Buzurk
3 2 2 2 3 2 3Safi al-Din's maqam Zangulah
2 3 2 2 2 3 3Safi al-Din's maqam Rahawi
2 2 3 2 2 3 3Safi al-Din's maqam Husaini
2 2 3 2 3 2 3Safi al-Din's maqam Higazi
1 2 1 1 1 1 1 2 1 1 1 1 1 2al-Kindi's mode
1 2 1 2 1 1 2 1 2 1 3Ishaq 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 1Dastgah-e Mahur, Rast Panjgah
2 2 3 3 1 3 3Dastgah-e Shur
2 3 3 1 3 3 2Naghmeh Abuata, Naghmeh Afshari
3 3 1 3 3 2 2Naghmeh Bayat-e Tork, Naghmeh Dashti
2 4 1 3 1 3 3Dastgah-e Homayun
3 1 3 3 2 4 1Naghmeh Esfahan
3 2 2 3 2 2 3Dastgah-e Sehgah
2 3 2 2 3 3 2Dastgah-e Sehgah
3 1 3 3 2 3 2Dastgah-e Mokhalif, Bayat-e Esfahan
2 4 1 3 2 4 1Dastgah-e Chahargah
3 1 3 3 2 2 3Dastgah-e Nava

18 tone mode:

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

19 tone modes:

5 4 5 5Four out of 19
4 4 4 4 3Five out of 19
3 3 5 3 5Nineteen-tone Major Pentatonic
5 3 3 5 3Nineteen-tone Minor Pentatonic
3 5 3 5 3Nineteen-tone Suspended Pentatonic
4 4 3 4 4Quasi-equal Pentatonic
3 3 3 3 3 4Yasser's Hexad
3 3 2 3 3 3 2Nineteen-tone Major
3 2 3 3 2 3 3Nineteen-tone Natural Minor
3 2 3 3 3 3 2Nineteen-tone Melodic Minor
3 2 3 3 2 4 2Nineteen-tone Harmonic Minor
3 3 2 3 2 4 2Nineteen-tone Harmonic Major
1 2 2 1 2 1 2 1 2 2 1 2Meantone Chromatic (1/3-comma)
2 1 2 1 2 1 2 2 1 2 1 2Genus diatonico-chromaticum
3 1 1 3 1 3 1 1 3 1 1Keenan eleven out of 19
2 2 2 2 2 1 2 1 2 2 1Krantz eleven out of 19
3 1 1 3 1 1 1 1 3 1 3McLaren eleven out of 19
2 2 2 2 2 2 2 2 2 1Negri's Ten Plus Nine
4 1 4 1 4 1 4Oljare Diminished
5 1 5 1 1 5 1Oljare Augmented, Magic-7
2 2 3 2 2 3 2 3Oljare Octatonic
1 3 1 3 3 1 3 1 3Oljare Pentaenharmonic
2 2 1 2 2 2 1 2 2 2 1Gould Eleven out of 19
2 1 2 1 2 2 1 2 1 2 1 2Yasser's Supradiatonic
1 2 5 1 2 5 3Ratio 1:2 Chromatic Mixolydian
2 5 1 2 5 3 1Ratio 1:2 Chromatic Lydian
5 1 2 5 3 1 2Ratio 1:2 Chromatic Phrygian
1 2 5 3 1 2 5Ratio 1:2 Chromatic Dorian
2 5 3 1 2 5 1Ratio 1:2 Chromatic Hypolydian
5 3 1 2 5 1 2Ratio 1:2 Chromatic Hypophrygian
3 1 2 5 1 2 5Ratio 1:2 Chromatic Hypodorian
1 4 1 4 1 4 4Kleismic-7
1 4 1 4 1 4 1 3Kleismic-8
1 1 3 1 3 1 1 3 1 1 3Kleismic-10
3 4 4 4 4Godzilla-5
3 3 1 3 1 3 1 3 1Godzilla-9
2 1 2 1 3 3 3 3 1Straub Whole-Tone
4 1 1 1 4 1 1 4 1 1Magic-10
2 2 2 1 2 2 2 1 2 2 1Semisixths-11

Joel Mandelbaum's 19 tone modes:

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

20 tone equal modes:

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

21 tone equal modes:

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

22 tone modes:

3 1 1 3 1 3 1 3 1 1 3 1Twelve-tone Chromatic (1/3-comma positive)
4 4 1 4 4 4 1Twenty-two tone Major
4 1 4 4 1 4 4Twenty-two tone Minor
4 3 2 4 3 4 2Twenty-two tone "Just" Major
4 2 3 4 2 3 4Twenty-two tone "Just" Minor
4 2 3 4 2 4 3Twenty-two tone Natural Minor
4 2 3 4 3 4 2Twenty-two tone Melodic Minor
4 2 3 4 2 5 2Twenty-two tone Harmonic Minor
4 3 2 4 2 5 2Twenty-two tone Harmonic Major
2 3 2 3 2 3 2 3 2Rezsutek's Percussion scale
6 1 6 1 1 6 1Magic-7
5 1 1 1 5 1 1 5 1 1Magic-10
4 1 1 1 4 1 1 1 4 1 1 1 1Magic-13
3 2 3 2 3 2 3 2 2Orwell-9
1 3 1 1 3 1 3 1 1 3 1 3Superpythagorean-12
3 4 3 3 3 3 3Miller's Porcupine-7 Major
3 3 1 3 3 3 3 3Jones's Porcupine-8
3 1 3 2 2 2 3 2 2 2Alternate Proper Decatonic
2 2 3 1 3 2 2 3 1 3Exotic Symmetrical Decatonic
2 2 2 2 1 2 2 2 2 2 2 1Hexachordal

Paul Erlich's 22 tone equal modes:

2 2 3 2 2 2 3 2 2 2Standard Pentachordal Major
2 2 3 2 2 2 2 3 2 2Static Symmetrical Major
2 3 2 2 2 2 2 3 2 2Alternate Pentachordal Major
2 3 2 2 2 2 3 2 2 2Dynamic Symmetrical Major
2 2 2 3 2 2 2 2 2 3Standard Pentachordal Minor
2 2 2 3 2 2 2 2 3 2Static Symmetrical Minor
2 2 2 2 3 2 2 2 3 2Alternate Pentachordal Minor
2 2 2 2 3 2 2 2 2 3Dynamic Symmetrical Minor
4 3 3 3 3 3 3Major quasi-equal Heptatonic
3 3 3 4 3 3 3Minor quasi-equal Heptatonic, Miller's Porcupine-7
4 3 3 4 4 4Harmonic Whole-Tone
4 3 4 4 3 4"9-limit" Consonant Whole-Tone
6 3 1 3 6 3Twenty-two tone Blues
5 4 4 5 4Septimal 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 2Shadja Grama, Murchhana Uttaramandra, Shuddha Swara Saptaka
[20] 2 4 3 2 4 4 3Murchhana Rajani
[17] 3 2 4 3 2 4 4Murchhana Uttarayata
4 3 2 4 3 2 4Murchhana Suddhasadja, Raga Harikambhoji, Palaiyazh
4 4 3 2 4 3 2Murchhana Asvakranta
3 2 4 4 3 2 4Murchhana Abhirudgata, Kafi That, Raga Bageshri
4 3 2 4 3 4 2Madhyama Grama, Bilaval That, Murchhana Suddhamadhya
[20] 2 4 3 2 4 3 4Murchhana Margavi
3 4 2 4 3 2 4Murchhana Hrishyaka
4 3 4 2 4 3 2Murchhana Sauviri, Kalyan That
2 4 3 4 2 4 3Murchhana Harinasva, Bhairavi That
[4] 3 2 4 3 4 2 4Murchhana Kalopanata
3 2 4 3 3 3 4Gandhaara Grama (Sarngadeva der. sa-grama)
3 2 4 3 2 4 4Gandhaara Grama (Sarngadeva der. ma-grama)
4 2 4 3 3 3 3Gandhaara Grama (Narada der. sa-grama)
4 2 4 3 2 4 3Gandhaara Grama (Narada der. ma-grama), Murchhana Pauravi
4 2 3 4 2 4 3Gandhaara Grama (Damodara), Raga Darbari, Darbari Kanada
2 4 3 3 3 4 3Gandhaara Grama (Somanatha)
2 4 4 3 2 4 3Gandhaara Grama (Popley), Murchhana Matsarikrita
4 2 3 4 2 2 2 3Raga Anandabhairavi
1 4 4 4 1 5 3Raga Asavari
4 2 3 4 2 3 4Asavari That
2 5 6 2 5 2Raga Bauli
1 6 2 4 1 7 1Bhairav That
2 5 2 3 1 3 4 2Raga Bhatiyar
4 3 2 3 1 4 4 1Raga Bihag
1 4 4 4 1 4 4Raga Bilashkhani Todi
4 3 6 4 5Raga Bhupali
4 3 2 3 1 3 2 3 1Raga Chayanat
3 4 6 3 6Raga Deskar
4 5 4 4 5Raga Durga
4 3 2 3 1 4 3 2Raga Gaud Sarang
1 4 6 3 7 1Raga Gurjari Todi
4 3 6 7 2Raga Hamsadhvani
4 1 4 4 1 4 4Raga Jaunpuri
3 4 2 4 3 4 2Raga Jogiya
2 3 4 4 2 3 4Raga Kanakangi
4 3 2 4 4 1 4Khamaj That
4 3 2 4 3 2 3 1Raga Khamaj
4 3 2 4 3 6Raga Kambhoji
4 2 3 4 4 2 3Raga Kharaharapriya, Bhimpalasi
1 6 2 2 3 7 1Raga Lalita
6 3 6 3 4Raga Malkauns
2 5 4 2 4 3 2Raga Marva
4 2 3 4 4 2 2 1Raga Mian Ki Malhar
3 2 4 4 2 1 2 4Raga Mukhari
2 4 6 1 1 7 1Raga Multani
2 5 5 1 3 4 2Raga Puriya Kalyan
2 5 5 1 2 5 2Purvi That, Raga Shri
4 2 2 1 4 4 2 2 1Raga Ramdasi Malhar
1 6 2 1 3 1 6 2Raga Ramkali
1 4 4 4 1 7 1Raga Rampurmat Pilu
1 6 2 4 1 2 4 2Raga Saurashtra
2 7 4 1 8Raga Saveri
3 6 4 3 6Raga Suddha Malhar
4 3 2 2 2 3 4 2Raga Suddha Kalyan
6 3 4 2 5 2Raga Takka
7 2 4 5 2 2Raga Tilang
1 4 7 1 1 7 1Todi That
1 4 7 1 1 6 2Raga Varali
1 6 6 3 6Raga Vibhas (marva)
4 4 4 1 4 4 1Raga Yaman
4 3 2 3 1 3 5 1Raga Yaman Kalyan
2 2 2 1 2 2 2 2 2 2 1 2Modern Indian gamut
3 2 1 1 2 3 1 3 2 1 1 2Old Indian gamut

22 tone mode of Tamil matra scale:

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

23 tone modes:

3 4 3 3 4 3 3Mavila-7
1 3 3 3 1 3 3 3 3Pelogic-9
2 2 1 2 2 1 2 2 1 2 2 1 2 1Superpelog-14
3 2 3 2 3 2 3 2 3Stearns 9-tone
2 2 2 2 2 3 2 2 2 2 2Stearns 11-tone
3 3 1 3 3 3 3 1 3Wilson

24 tone modes:

1 1 8 1 1 8 4Enharmonic Mixolydian
1 8 1 1 8 4 1Enharmonic Lydian
8 1 1 8 4 1 1Enharmonic Phrygian
1 1 8 4 1 1 8Enharmonic Dorian
1 8 4 1 1 8 1Enharmonic Hypolydian
8 4 1 1 8 1 1Enharmonic Hypophrygian
4 1 1 8 1 1 8Enharmonic Hypodorian
2 3 5 2 3 5 4Soft Diatonic Mixolydian
3 5 2 3 5 4 2Soft Diatonic Lydian
5 2 3 5 4 2 3Soft Diatonic Phrygian
2 3 5 4 2 3 5Soft Diatonic Dorian
3 5 4 2 3 5 2Soft Diatonic Hypolydian
5 4 2 3 5 2 3Soft Diatonic Hypophrygian
4 2 3 5 2 3 5Soft Diatonic Hypodorian
3 3 4 3 3 4 4Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian
3 4 3 3 4 4 3Dastgah-e Sehgah, Neutral Diatonic Lydian
4 3 3 4 4 3 3Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian
3 3 4 4 3 3 4Maqam Hussaini, Ushaq, Neutral Diatonic Dorian
3 4 4 3 3 4 3Maqam Sikah (Segah), Neutral Diatonic Hypolydian
4 4 3 3 4 3 3Neutral Diatonic Hypophrygian
4 3 3 4 3 3 4Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz
1 5 4 1 5 4 4Diatonic + Enharmonic Diesis Mixolydian
5 4 1 5 4 4 1Diatonic + Enharmonic Diesis Lydian
4 1 5 4 4 1 5Diatonic + Enharmonic Diesis Phrygian
1 5 4 4 1 5 4Diatonic + Enharmonic Diesis Dorian
5 4 4 1 5 4 1Diatonic + Enharmonic Diesis Hypolydian
4 4 1 5 4 1 5Diatonic + Enharmonic Diesis Hypophrygian
4 1 5 4 1 5 4Diatonic + Enharmonic Diesis Hypodorian
1 3 6 1 3 6 4Chromatic/Enharmonic Mixolydian
3 6 1 3 6 4 1Chromatic/Enharmonic Lydian
6 1 3 6 4 1 3Chromatic/Enharmonic Phrygian
1 3 6 4 1 3 6Chromatic/Enharmonic Dorian
3 6 4 1 3 6 1Chromatic/Enharmonic Hypolydian
6 4 1 3 6 1 3Chromatic/Enharmonic Hypophrygian
4 1 3 6 1 3 6Chromatic/Enharmonic Hypodorian
3 4 3 3 4 3 4Neutral Mixolydian
4 3 3 4 3 4 3Neutral Lydian
3 3 4 3 4 3 4Neutral Phrygian
3 4 3 4 3 4 3Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi
4 3 4 3 4 3 3Neutral Hypolydian, Mohajira-7
3 4 3 4 3 3 4Neutral Hypophrygian
4 3 4 3 3 4 3Neutral Hypodorian
1 2 7 1 2 7 4Ratio 1:2 Hemiolic Chromatic Mixolydian
2 7 1 2 7 4 1Ratio 1:2 Hemiolic Chromatic Lydian
7 1 2 7 4 1 2Ratio 1:2 Hemiolic Chromatic Phrygian
1 2 7 4 1 2 7Ratio 1:2 Hemiolic Chromatic Dorian
2 7 4 1 2 7 1Ratio 1:2 Hemiolic Chromatic Hypolydian
7 4 1 2 7 1 2Ratio 1:2 Hemiolic Chromatic Hypophrygian
4 1 2 7 1 2 7Ratio 1:2 Hemiolic Chromatic Hypodorian
3 5 2 4 3 5 2Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
4 2 4 4 3 3 4Dastgah-e Nava, Maqam Ushaq Masri
2 7 1 4 2 7 1Second plagal Byzantine Liturgical mode
5 5 4 5 5Quasi-equal Pentatonic
3 3 4 4 2 4 4Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
3 3 4 4 2 1 3 4Maqam Bayati
3 3 4 4 4 2 4Maqam Nahfat
3 3 2 6 2 4 4Maqam Saba
3 3 2 6 2 4 2 2Maqam Saba
3 3 2 6 2 6 2Maqam Sabr Jadid
3 3 2 2 4 3 3 4Maqam Mansuri
4 3 3 4 2 6 2Maqam Suznak (Soznak)
4 3 3 4 4 2 1 3Maqam Rast, Dilkashidah, Dilnishin
4 3 3 4 4 4 2Maqam Mahur
4 3 1 2 1 3 4 2 1 3Maqam Yakah
4 3 1 2 4 4 2 4Maqam Suzidil 'ara
3 3 4 2 6 2 4Maqam Qarjighar, Bayati Shuri
3 4 2 2 2 2 2 4 3Maqam Huzzam
3 4 2 6 2 4 3Maqam Hizam (Huzzam, El Houzam), Rahat al Arouah
3 4 2 6 2 4 2 1Maqam Rahat al-Arwah
3 4 3 3 4 4 2 1Maqam Iraq
2 6 2 4 2 1 3 4Maqam Hijaz
3 4 4 2 1 3 4 3Maqam Musta'ar
3 4 4 4 2 4 2 1Maqam Farahnak
3 4 3 3 2 6 2 1Maqam Bastanikar, Tarz Nuin
4 2 6 2 4 2 1 3Maqam Farah Faza, Maqam Nakriz
4 2 1 3 2 2 2 2 3 1 2Maqam Hayyan
4 2 1 3 2 2 4 2 1 3Maqam Basandida
4 4 2 1 3 2 2 4 2Maqam Shawq Afza
2 1 3 2 2 4 2 4 2 2Maqam Shawq Tarab
3 1 2 4 4 2 4 4Maqam Jabburi
2 4 4 4 3 3 4Maqam Nawa
2 5 3 4 2 5 3Maqam Higaz-kar
3 4 4 2 4 4 3Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
4 4 2 4 4 3 3Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
3 5 2 4 2 4 4Dastgah-e Homayun
4 2 4 4 3 5 2Naghmeh Esfahan
3 6 1 5 2 6 1Maqam 'Awg 'ara (Aug-ara)
4 1 5 4 2 6 2Maqam Buselik
4 2 6 2 2 5 3Maqam Neuter
2 8 3 6 5Anchihoye: Ethiopia
4 3 3 4 4 2 4Dance scale of Yi people: China
4 4 2 3 1 4 6Daniel-mode of Spanish-Arab Jews
9 2 2 9 2de Vries 5-tone
4 1 4 1 4 1 4 1 4de Vries 9-tone
1 2 2 2 2 2 2 1 2 2 2 2 2de Vries 13-tone
4 5 5 5 5Godzilla-5
4 4 1 4 1 4 1 4 1Godzilla-9
3 7 4 3 7Spondeion
1 1 8 4 2 8Spondeiakos
1 4 4 2 4 4 4 1Dalmonte 8-tone
1 2 3 4 4 1 2 3 4Progressive Enneatonic
2 3 2 3 2 2 3 2 3 2Young Decatonic
2 2 1 2 2 2 1 2 2 1 2 2 2 1Young Half-Octave Diatonic
3 1 3 3 3 1 3 3 1 3Breed Decatonic
1 3 3 1 3 3 3 1 3 3Neutral Hypolydian Decatonic, Mohajira-10
3 1 3 3 1 3 3 3 1 3Neutral Dorian Decatonic
2 3 2 2 3 2 3 2 2 3Oljare Decatonic
2 2 2 2 2 1 2 2 2 2 2 2 1Agmon Diatonic DS5

25 tone equal modes:

4 4 2 5 4 4 2Twenty-five tone "Major"
4 2 4 5 2 4 4Twenty-five tone "Minor"
3 5 3 3 5 3 3Mavila-7

26 tone equal modes:

1 3 3 1 3 1 3 1 3 3 1 3Meantone Chromatic (4/9-comma)
4 4 3 4 4 4 3Twenty-six tone Major
4 3 4 4 3 4 4Twenty-six tone Natural Minor
4 3 4 4 4 4 3Twenty-six tone Melodic Minor
4 3 4 4 3 5 3Twenty-six tone Harmonic Minor
4 4 3 4 3 5 3Twenty-six tone Harmonic Major
5 5 6 5 5Quasi-equal Pentatonic
5 5 2 5 2 5 2Orgone-7
3 2 3 2 3 3 2 3 2 3Lemba-10

Paul Erlich's 26 tone equal modes:

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

27 tone equal modes:

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

28 tone equal modes:

2 5 2 5 2 5 2 5Octatonic
3 4 3 4 3 4 3 4Quasi-equal Octatonic
2 3 2 3 2 3 2 3 2 3 3Machine-11

29 tone equal modes:

3 2 2 3 2 3 2 3 2 2 3 2Twelve-tone Chromatic (1/14-comma positive)
5 5 2 5 5 5 2Twenty-nine tone Major
5 2 5 5 2 5 5Twenty-nine tone Minor
5 4 3 5 4 5 3Twenty-nine tone "Just" Major
5 3 4 5 3 4 5Twenty-nine tone "Just" Minor
5 3 4 5 3 5 4Twenty-nine tone Natural Minor
5 3 4 5 4 5 3Twenty-nine tone Melodic Minor
5 3 4 5 3 6 3Twenty-nine tone Harmonic Minor
5 4 3 5 3 6 3Twenty-nine tone Harmonic Major
2 3 2 2 3 2 3 2 2 3 2 3Schismic-12
6 6 5 6 6Quasi-equal Pentatonic
3 3 3 2 3 3 3 3 3 3Keenan Decatonic

30 tone equal modes:

5 5 2 6 5 5 2Thirty tone "Major"
5 2 5 6 2 5 5Thirty tone "Minor"
10 3 10 5 2Madenda: Sunda
4 5 4 4 5 4 4Mavila-7

31 tone equal modes:

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

32 tone equal modes:

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

34 tone equal modes:

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

35 tone equal modes:

2 5 2 5 2 5 2 5 2 5Blackwood-10
1 4 1 4 1 4 1 4 1 4 1 4 1 4Whitewood-14

36 tone equal modes:

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

Persian modes as 36 tone equal modes:

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

37 tone equal modes:

5 5 5 7 5 5 5Miller's Porcupine-7
5 7 5 5 5 5 5Miller's Porcupine-7 Major
5 5 5 5 5 5 5 2Miller's Porcupine-8
5 3 3 3 3 5 3 3 3 3 3Freivald-11
3 3 2 3 3 2 3 3 2 3 3 2 3 2Superpelog-14

39 tone mode:

2 5 5 5 2 5 5 5 5Thirty-nine tone Pelogic

40 tone modes:

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

41 tone equal modes:

4 3 3 4 3 4 3 4 3 3 4 3Twelve-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 3Forty-one tone Major
7 3 7 7 3 7 7Forty-one tone Minor
7 6 4 7 6 7 4Forty-one tone "Just" Major
7 4 6 7 4 7 6Forty-one tone "Just" Minor
7 4 6 7 4 6 7Forty-one tone Natural Minor
7 4 6 7 6 7 4Forty-one tone Melodic Minor
7 4 6 7 4 9 4Forty-one tone Harmonic Minor
7 6 4 7 4 9 4Forty-one tone Harmonic Major
3 4 3 3 4 3 4 3 3 4 3 4Schismic-12
11 2 11 2 2 11 2Magic-7
9 2 2 2 9 2 2 9 2 2Magic-10
7 2 2 2 7 2 2 2 7 2 2 2 2Magic-13

43 tone equal modes:

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

44 tone equal mode:

4 7 4 7 4 7 4 7Octatonic

45 tone equal modes:

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

46 tone equal modes:

5 3 3 5 3 5 3 5 3 3 5 3Twelve-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 4Forty-six tone "Just" Major
8 4 7 8 4 7 8Forty-six tone "Just" Minor
8 4 7 8 4 8 7Forty-six tone Natural Minor
8 4 7 8 7 8 4Forty-six tone Melodic Minor
8 4 7 8 4 11 4Forty-six tone Harmonic Minor
8 7 4 8 4 11 4Forty-six tone Harmonic Major
8 6 5 8 6 5 8Forty-six tone Rast
8 6 5 8 8 6 5Forty-six tone Arabic Diatonic
3 9 3 7 5 7 3 9Smith's Star
5 7 3 9 3 7 5 7Smith's Nova
4 4 7 4 4 4 4 7 4 4Symmetrical Decatonic

48 tone equal modes:

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

50 tone equal modes:

3 5 5 3 5 3 5 3 5 5 3 5Meantone Chromatic (2/7-comma)
8 8 5 8 8 8 5Fifty tone Major
8 5 8 8 5 8 8Fifty tone Natural Minor
8 5 8 8 8 8 5Fifty tone Melodic Minor
8 5 8 8 5 11 5Fifty tone Harmonic Minor
8 8 5 8 5 11 5Fifty 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 4Meantone Chromatic (1/315-comma)
9 8 5 9 8 9 5Fifty-three tone "Just" Major
9 5 8 9 5 9 8Fifty-three tone "Just" Minor
9 5 8 9 5 8 9Fifty-three tone Natural Minor
9 5 8 9 8 9 5Fifty-three tone Melodic Minor
9 5 8 9 5 12 5Fifty-three tone Harmonic Minor
9 8 5 9 5 12 5Fifty-three tone Harmonic Major
3 11 3 11 3 11 11Kleismic-7
3 3 8 3 8 3 3 8 3 3 8Kleismic-11
7 5 7 5 7 5 7 5 5Orwell-9
2 5 5 2 5 5 2 5 5 2 5 5 5Orwell-13
4 5 4 4 5 4 5 4 4 5 4 5Schismic-12

53 tone equal modes with Turkish makams:

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

Persian modes as 53 tone equal modes:

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

9 6 7 2 7 9 6 Dastgah-e Sehgah

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

55 tone equal modes:

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

59 tone equal modes:

8 8 8 11 8 8 8Miller's Porcupine-7
8 11 8 8 8 8 8Miller's Porcupine-7 Major
8 8 8 8 8 8 8 3Miller's Porcupine-8

60 tone equal modes:

6 4 6 3 6 4 6 6 3 6 4 6"Just" Chromatic
10 2 3 5 4 6 6 4 5 3 2 10First 6 equal temperaments mixed

63 tone equal mode:

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

64 tone equal mode:

7 12 7 12 7 12 7Chrysanthos Soft Chromatic Byzantine mode

65 tone equal modes:

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

68 tone equal modes:

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

69 tone equal mode:

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

70 tone equal modes:

3 7 7 3 10 1 9 5 5 9 1 10Jorgensen 5&7
7 5 5 7 5 7 5 7 5 5 7 5Twelve-tone Chromatic (1/24-comma positive)
5 7 5 5 7 5 7 5 5 7 5 7Schismic-12

72 tone equal modes:

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

74 tone equal mode:

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

77 tone equal modes:

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

81 tone equal mode:

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

84 tone equal modes:

8 6 8 5 8 6 8 8 5 8 6 8"Just" Chromatic
11 8 11 8 11 8 11 8 8Orwell-9
9 9 9 4 9 9 9 4 9 9 4Semisixths-11

88 tone equal mode:

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

89 tone equal mode:

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

91 tone equal mode:

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

94 tone equal modes:

9 7 7 9 7 9 7 9 7 7 9 7Twelve-tone Chromatic (1/125-comma positive)
7 9 7 7 9 7 9 7 7 9 7 9Schismic-12

96 tone equal modes:

9 7 9 6 9 7 9 9 6 9 7 9"Just" Chromatic
11 18 11 10 6 11 18 11Buzurg
11 18 11 10 6 12 21 7Buzurg-Hijaz

98 tone equal mode:

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

99 tone equal mode:

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

101 tone equal mode:

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

103 tone equal mode:

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

106 tone equal modes with Turkish makams:

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

108 tone equal modes:

10 8 10 7 10 8 10 10 7 10 8 10"Just" Chromatic
4 8 33 4 8 33 18Ratio 1:2 Soft Chromatic Mixolydian
8 33 4 8 33 18 4Ratio 1:2 Soft Chromatic Lydian
33 4 8 33 18 4 8Ratio 1:2 Soft Chromatic Phrygian
4 8 33 18 4 8 33Ratio 1:2 Soft Chromatic Dorian
8 33 18 4 8 33 4Ratio 1:2 Soft Chromatic Hypolydian
33 18 4 8 33 4 8Ratio 1:2 Soft Chromatic Hypophrygian
18 4 8 33 4 8 33Ratio 1:2 Soft Chromatic Hypodorian

118 tone equal modes:

11 9 9 11 9 11 9 11 9 9 11 9Meantone 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 11Twelve-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 13Meantone 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 16Schismic-12

183 tone equal modes:

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

205 tone equal modes:

13 20 13 20 13 20 20 13 20 13 20 20Meantone Chromatic (1/4-comma)
19 16 19 12 19 16 19 19 12 19 16 19"Just" Chromatic

Irish Dance Traditions

Dancing in the Middle Ages (England) Irish dance dates back to its origins in Europe in the 11th and 12th centuries and became closely ...