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EXOTIC SCALES : 12 Tone Modes

"12 equal Temperament" is a premise.
:Combination possibilities in our twelve-tone system



Duochords and duotonics: (12.11/2!-6)/12 + 1= 6 (= the six intervall-classes)
OOXXXXXXXXXXSemitone, Minor second, Augmented unison
OXOXXXXXXXXXWhole-tone, Major second
OXXOXXXXXXXXMinor third, Augmented second
OXXXOXXXXXXXMajor third, Diminished fourth
OXXXXOXXXXXXPerfect fourth, Honchoshi: Japan
OXXXXXOXXXXXTritone, Diminished fifth
OXXXXXXOXXXXPerfect fifth, Niagari: Japan
OXXXXXXXOXXXMinor sixth, Augmented fifth
OXXXXXXXXOXXMajor sixth
OXXXXXXXXXOXMinor seventh, Augmented sixth, Warao ditonic: South America
OXXXXXXXXXXOMajor seventh



Trichords and tritonics: (12.11.10/3! -6)/12 +1 = 19 (=19 triads)
OOOXXXXXXXXXBach/Chromatic Trimirror
OOXOXXXXXXXXPhrygian Trichord
OOXXOXXXXXXXMajor-minor Trichord.1
OOXXXXOXXXXXRite chord.2, Tritone-fourth.1
OXOOXXXXXXXXMinor Trichord
OXOXOXXXXXXXWhole-tone Trichord
OXOXXOXXXXXXIncomplete Minor-seventh Chord
OXOXXXOXXXXXItalian sixth, Incomplete Dominant-seventh Chord.1
OXOXXXXOXXXXQuartal Trichord
OXXOOXXXXXXXMajor-minor Trichord.2
OXXOXOXXXXXXIncomplete Dominant-seventh Chord.2
OXXOXXOXXXXXDiminished Trichord
OXXOXXXOXXXXMinor Chord, Peruvian tritonic 2
OXXOXXXXXXOXUte tritonic
OXXXOXOXXXXXIncomplete Half-dim-seventh Chord
OXXXOXXOXXXXMajor Chord, Raga Malasri, Peruvian tritonic 1
OXXXOXXXOXXXAugmented Chord
OXXXOXXXXOXXRaga Bilwadala
OXXXXOOXXXXXRite chord.1, Tritone-fourth.2
OXXXXOXOXXXXRaga Sarvasri, Warao tritonic: South America
OXXXXOXXXXOXSansagari: Japan
OXXXXXOOXXXXRaga Ongkari



Tetrachords and tetratonics: (12.11.10.9 / 4! -15)/12 +3 = 43 (=43 tetrachords)
OOOOXXXXXXXXBach/Chromatic Tetramirror
OOOXOXXXXXXXMajor-second Tetracluster.2
OOOXXOXXXXXXMinor-Third Tetracluster.2
OOOXXXOXXXXXMajor-Third Tetracluster.2
OOOXXXXOXXXXPerfect Fourth Tetramirror
OOXOOXXXXXXXAlternating Tetramirror
OOXOXOXXXXXXDorian Tetrachord, Phrygian Tetrachord
OOXOXXOXXXXXMinor-second Diminished Tetrachord
OOXOXXXOXXXXAll-interval Tetrachord.3
OOXXOOXXXXXXChromatic Mezotetrachord, Arabian Tetramirror
OOXXOXOXXXXXAll-interval Tetrachord.1
OOXXOXXOXXXXMajor-diminished Tetrachord
OOXXOXXXOXXXMinor-augmented Tetrachord
OOXXXOOXXXXXDouble Fourth Tetramirror
OOXXXOXOXXXXMinor-second Quartal Tetrachord
OOXXXOXXOXXXMajor-seventh Chord, Raga Lavangi, Gowleeswari
OOXXXXOOXXXXMessiaen's truncated mode 5, Lendvai's, Double Tritone Tetramirror
OXOOOXXXXXXXMajor-second Tetracluster.1
OXOOXOXXXXXXPhrygian Tetrachord, Minor Tetramirror
OXOOXXOXXXXXHarmonic-minor Tetrachord
OXOOXXXOXXXXMajor-second Minor Tetrachord
OXOOXXXXXXOXWarao tetratonic: South America
OXOXOOXXXXXXLydian Tetrachord, Major Tetrachord
OXOXOXOXXXXXWhole-tone Tetramirror
OXOXOXXOXXXXMajor-second Major Tetrachord, Eskimo tetratonic (Alaska: Bethel)
OXOXXOOXXXXXAll-interval Tetrachord.2
OXOXXOXOXXXXQuartal Tetramirror, Raga Viravasantam, Raga Vivardhini, Genus primum
OXOXXOXXOXXXHalf-diminished Seventh Chord, Raga Haripriya
OXOXXOXXXOXXRaga Bhavani
OXOXXXOOXXXXTritone Quartal Tetrachord
OXOXXXOXOXXXFrench-sixth Chord, Messiaen's truncated 6
OXOXXXOXXXXORaga Sumukam
OXXOOOXXXXXXMinor-Third Tetracluster.1
OXXOOXOXXXXXMajor-third Diminished Tetrachord
OXXOOXXOXXXXMajor-minor Tetramirror
OXXOOXXXOXXXAugmented-major Tetrachord
OXXOXOOXXXXXPerfect-fourth Diminished Tetrachord
OXXOXOXOXXXXPerfect-fourth Minor Tetrachord
OXXOXOXXOXXXMinor-seventh Chord
OXXOXXOOXXXXMinor-diminished Tetrachord
OXXOXXOXOXXXDominanth-seventh/German-sixth Chord
OXXOXXOXXOXXDiminished-seventh Chord
OXXOXXXOXXOXBi Yu: China
OXXXOOOXXXXXMajor-Third Tetracluster.1
OXXXOXOOXXXXAll-interval Tetrachord.4
OXXXOXOXXXOXMessiaen's truncated mode 6 inverse
OXXXOXOXXXXORaga Nigamagamini
OXXXOXXOXXOXRaga Mahathi, Antara Kaishiaki
OXXXXOOXXXXOMessiaen's truncated mode 5 inverse
OXXXXOXOXXOXGenus primum inverse



Pentachords and pentatonics : (12.11.10.9.8 /5!)/12 = 66 (=66 pentatonic combinations)
OOOOOXXXXXXXChromatic Pentamirror
OOOOXOXXXXXXMajor-second Pentacluster.2
OOOOXXOXXXXXBlues Pentacluster
OOOOXXXOXXXXMajor-third Pentacluster.2
OOOXOOXXXXXXMinor-second Major Pentachord
OOOXOXOXXXXXTritone-Expanding Pentachord
OOOXOXXOXXXXMajor-seventh Pentacluster.2
OOOXOXXXOXXXAugmented Pentacluster.1
OOOXXOOXXXXXOriental Pentacluster.1
OOOXXOXOXXXXDouble-seconds Triple-fourth Pentachord.1
OOOXXOXXOXXXDiminished Pentacluster.1
OOOXXXOOXXXXDouble Pentacluster1, Raga Nabhomani
OOOXXXOXOXXXBardos's, Assymetric Pentamirror
OOOXXXXXOOXXRaga Putrika
OOOXXXXXOXXORaga Kumarapriya
OOXOOOXXXXXXSpanish Pentacluster
OOXOOXOXXXXXAlternating Pentachord.1
OOXOOXXOXXXXMajor-minor-dim Pentachord.1
OOXOOXXXOXXXMinor-major Ninth Chord
OOXOXOOXXXXXLocrian Pentamirror
OOXOXOXOXXXXPhrygian Pentachord
OOXOXOXXOXXXRaga Chitthakarshini
OOXOXOXXOXXXMajor-Ninth Chord
OOXOXXOOXXXXJavanese Pentachord
OOXOXXOXOXXXKumoi Pentachord.2, Raga Chhaya Todi
OOXOXXOXXOXXDiminished Minor-Ninth Chord
OOXOXXXOOXXXBalinese Pelog, Raga Bhupalam, Bhupala Todi, Bibhas
OOXOXXXOXXOXRaga Rukmangi, Pelog
OOXXOOOXXXXXOriental Pentacluster.2
OOXXOOXOXXXXGypsy/semiditonic Pentachord.1
OOXXOOXXOXXXMajor-augmented Ninth Chord, Raga Megharanjani, Syrian pentatonic
OOXXOOXXXXXORaga Megharanji
OOXXOXOOXXXXBalinese Pentachord
OOXXOXOXOXXXEnigmatic Pentachord.1
OOXXOXOXXOXXNeapolitan Pentachord.1
OOXXOXXOOXXXPersian Pentamirror, Raga Reva, Revagupti, Ramkali, Vibhas (bhairava)
OOXXOXXOXOXXRaga Rasika Ranjani, Vibhas (marva), Scriabin
OOXXOXXOXXOXRaga Manaranjani I
OOXXXOOOXXXXDouble Pentacluster.2
OOXXXOOXOXXXBalinese Pelog Pentatonic, Korean
OOXXXOOXXXOXIwato: Japan
OOXXXOXOOXXXHon-kumoi-joshi, Sakura: Japan, Akebono II: Japan, Olympos Enharmonic, Raga Salanganata, Raga Saveri, Gunakri (Gunakali), Latantapriya
OOXXXOXOXOXXAltered Pentatonic, Raga Manaranjani II
OOXXXOXOXXOXKokin-joshi, Miyakobushi, Han-Iwato, In-Sen: Japan, Raga Vibhavari (Revati), Bairagi, Lasaki
OOXXXOXOXXXORaga Gauri
OOXXXOXXOXXORaga Kshanika
OOXXXXOOOXXXRaga Saugandhini, Yashranjani
OOXXXXXOOXXORaga Deshgaur
OXOOOOXXXXXXMajor-second Pentacluster.1
OXOOOXOXXXXXTritone-Symmetric Pentamirror
OXOOOXXOXXXXCenter-cluster Pentachord.1
OXOOOXXXOXXXAugmented Pentacluster.2
OXOOXOOXXXXXAlternating Pentachord.2
OXOOXOXOXXXXDorian/Minor Pentachord, Raga Purnalalita, Chad Gadyo: Jewish, Ghana Pentatonic 1, Nando-kyemyonjo: Korea
OXOOXOXXOXXXDiminished-major Ninth Chord, Raga Audav Tukhari
OXOOXOXXXOXXRaga Abhogi
OXOOXXOOXXXXGypsy/semiditonic Pentachord.2
OXOOXXOXOXXXAugmented-sixth Pentachord.1
OXOOXXOXXOXXFlat-Ninth Pentachord, Ranjaniraga
OXOOXXXOOXXXHira-joshi: Japanese traditional, Indian-Japan Pentatonic, Kata-kumoi, Yona Nuki mineur: Japan
OXOOXXXOXOXXRaga Sivaranjini (Shivranjani), Akebono I: Japan, Dorian Pentatonic
OXOXOOOXXXXXTritone-Contracting Pentachord
OXOXOOXOXXXXMajor/Ionic Pentachord, Raga Budhamanohari
OXOXOOXXOXXXDiminished-augmented Ninth Chord
OXOXOXOOXXXXLydian Pentachord
OXOXOXOXOXXXWhole-tone Pentamirror
OXOXOXOXXOXXDominant-ninth,Major-minor, Prometheus Pentamirror, Kung: China
OXOXOXOXXXXORaga Kumurdaki (Kumudki)
OXOXOXXOOXXXEnigmatic Pentachord.2, Altered Pentatonic, Raga Bhupeshwari, Janasammodini
OXOXOXXOXOXXNatural/Major/Genuine/"Black Key"/Blues Pentatonic, Ryosen, Yona Nuki majeur: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Mohanam, Deskar, Bilahariraga, Kokila, Jait Kalyan, Peruvian Pentatonic 1, Ghana pent.2, Mongolian, Slendro, Quartal Pentamirror, Kausika, Mehga
OXOXOXXOXXOXDominant pentatonic
OXOXOXXOXXXORaga Hamsadhvani (Hansadhvani)
OXOXOXXXXOXORaga Neroshta
OXOXXOOOXXXXDouble-seconds Triple-fourth Pentachord.2
OXOXXOOXOXXXAugmented-sixth Pentachord.2, Indian Hindola, Javan Pentatonic
OXOXXOOXXOXXNeapolitan Pentachord.2
OXOXXOXOOXXXKorean, Kumoi Pentachord.1, Han-kumoi: Japan, Raga Shobhavari, Sutradhari
OXOXXOXOXOXXRitusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Raga Devakriya, Durga, Suddha Saveri, Arabhi, Scottish Pentatonic, Ujo, P'yongjo: Korea, Major complement
OXOXXOXOXXOXYo: Japan, Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China
OXOXXOXOXXXORaga Desh
OXOXXOXXOXOXChaio: China
OXOXXOXXOXXORaga Priyadharshini
OXOXXOXXXOOXRaga Guhamanohari, Raga Gorakh Kalyan (pentat.?)
OXOXXOXXXOXORaga Rasranjani
OXOXXXOOXOXXRaga Shri Kalyan
OXOXXXOOXXXORaga Vaijayanti, Hamsanada
OXOXXXOXXOXORaga Shubravarni
OXOXXXXOXOOXRaga Matha Kokila (Matkokil)
OXXOOOOXXXXXMinor-third Pentacluster
OXXOOOXOXXXXCenter-cluster Pentachord.2
OXXOOOXXOXXXCenter-cluster Pentamirror
OXXOOXOOXXXXMajor-minor-dim Pentachord.2
OXXOOXOXOXXXAugmented-diminished Ninth Chord
OXXOOXXOOXXXLebanese Pentachord, Augmented-minor Chord
OXXOOXXOXOXXRaga Mohanangi
OXXOXOOOXXXXMajor-seventh Pentacluster.1
OXXOXOOXXXOXRaga Jayakauns
OXXOXOXOOXXXMinor Ninth Chord, Raga Kokil Pancham
OXXOXOXOXOXXMinor added sixth Pentatonic, Kyemyonjo: Korea
OXXOXOXOXXOXMinor 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
OXXOXOXOXXXORaga Nata, Raga Udayaravicandrika, Madhuranjani
OXXOXOXXOXOXRaga Malkauns (Malakosh), Raga Hindola, Man Gong, Quan Ming, Yi Ze, Jiao: China
OXXOXOXXOXXORaga Chandrakauns (kiravani)
OXXOXOXXXOOXRaga Chandrakauns (kafi), Surya, Varamu
OXXOXOXXXOXORaga Chandrakauns (modern), Raga Marga Hindola, Rajeshwari
OXXOXXOOOXXXDiminished Pentacluster.2
OXXOXXOOXXOXRaga Samudhra Priya, Madhukauns (pentatonic)
OXXOXXOOXXXORaga Multani
OXXOXXOXOXOXRaga Harikauns, Chin: China
OXXOXXXOOXOXRaga Shailaja, Varini
OXXXOOOOXXXXMajor-third Pentacluster.2
OXXXOOXOOXXXRaga Zilaf
OXXXOOXOXOXXRaga Nagasvaravali, Raga Mand
OXXXOOXOXXOXMixolydian Pentatonic, Raga Savethri
OXXXOOXOXXXORaga Gambhiranata, Ryukyu: Japan, Chinese
OXXXOOXXOXXOBacovia: Romania, Raga Girija
OXXXOOXXXOOXRaga Khamaji Durga
OXXXOOXXXOXORaga Bhinna Shadja, Kaushikdhvani, Hindolita
OXXXOXOOXOXXRaga Dhavalashri
OXXXOXOOXXXORaga Amritavarshini, Malashri, Shilangi
OXXXOXOXXOXORaga Hindol (Sunada Vinodini), Sanjh ka Hindol
OXXXOXXOXOOXRaga Valaji
OXXXOXXOXOXORaga Mamata
OXXXXOXOOXOXRaga Devranjani (?)
OXXXXOXOOXXORaga Devaranjani (Devaranji)
OXXXXOXOXOOXRaga Kuntvarali (Kuntalavarali)
OXXXXOXOXOXORaga Puruhutika, Purvaholika



Hexachords and hexatonics: (12.11.10.9.8.7 /6! - 24)/12 +5 = 80
OOOOOOXXXXXXChromatic Hexamirror
OOOXOXOXOXXXArabian Major Locrian
OOOXXOOOXXXXDouble-cluster Hexamirror
OOOXXOOXXOXXSchoenberg Anagram Hexachord
OOOXXOXXOOXXRaga Suddha Mukhari
OOOXXXOOOXXXMessiaen's mode 5
OOOXXXOOXOXXRaga Chandrajyoti
OOOXXXOOXXXORaga Vijayasri
OOXOOXOOXXXXAlternating Hexamirror
OOXOOXXOXOXXIndian Dipaka, Prometheus Neapolitan
OOXOXOOXOXXXLocrian Hexachord, Suddha Saveriraga
OOXOXOOXXOXXDouble-Phrygian Hexatonic
OOXOXOOXXXOXHonchoshi plagal form: Japan
OOXOXOXOOXXXPhrygian Hexamirror, Raga Suddha Simantini
OOXOXOXOXOXXScriabin's Mystic, Prometheus Hexachord
OOXOXOXOXXOXRaga Gandharavam
OOXOXOXXOXOXRitsu: Japan, Raga Suddha Todi
OOXOXOXXOXXORaga Viyogavarali
OOXOXXOOXOXXMessiaen's truncated mode 3, Minor-bitonal Hexachord
OOXOXXOOXXXORaga Vijayasri
OOXOXXOXOXOXRaga Bhavani
OOXOXXOXOXXORaga Gurjari Todi
OOXOXXXOOXOXRaga Kashyapi
OOXOXXXOXOOXRaga Salagavarali
OOXXOOXOOXXXRaga Purna Pancama, Malahari, Geyahejjajji, Kannadabangala
OOXXOOXOXOXXRaga Kalavati, Ragamalini
OOXXOOXOXXXORaga Gaula
OOXXOOXXOOXXAugmented, Messiaen's truncated mode 3, Sixtone Symmetrical, Hyper major, Prometheus (Liszt), Lendvai's, Genus tertium
OOXXOOXXOXOXRaga Vasantabhairavi
OOXXOOXXOXXORaga Lalita, Sohini, Hamsanandi, Lalit Bhairav
OOXXOOXXXOOXRaga Rudra Pancama
OOXXOOXXXOXORaga Vasanta, Chayavati
OOXXOXOOOXXXRaga Dhavalangam
OOXXOXOOXXOXMessiaen truncated mode 2, Raga Indupriya
OOXXOXOOXXXORaga Mandari, Gamakakriya, Hamsanarayani
OOXXOXOXOOXXRaga Hejjajji
OOXXOXOXXOOXPrometheus Neapolitan
OOXXOXOXXOXORaga Hamsanandi, Raga Marva, Raga Pancama, Puriya
OOXXOXXOOOXXRaga Kalagada
OOXXOXXOOXXORaga Bauli
OOXXOXXOXOOXRaga Malayamarutam
OOXXXOXOOOXXRaga Kalakanthi
OOXXXOXOOXOXRaga Phenadyuti, Insen, Honchoshi, Niagari: Japan
OOXXXOXOOXXORaga Padi
OOXXXOXOXOOXRaga Rasavali
OOXXXOXOXOXORaga Jivantika
OXOOOXXOOXXXMegha or "Cloud" raga
OXOOOXXOXOXXIndian, Blues
OXOOXOOXOXXXSuper-Locrian Hexamirror
OXOOXOOXXOXXPyramid Hexatonic
OXOOXOXOOXXXMinor Hexachord
OXOOXOXOXOXXDorian Hexachord, Raga Suddha Bangala, Gauri Velavali
OXOOXOXOXXOXMinor Hexatonic, Raga Palasi, Manirangu, Nayaki, Pushpalithika, Yo: Japan, Eskimo Hexatonic 1(Alaska: King Island)
OXOOXOXOXXXORaga Sindhura Kafi
OXOOXOXXOXXORaga Ghantana, Kaushiranjani (Kaishikiranjani)
OXOOXOXXXOOXRaga Bagesri, Sriranjani, Kapijingla
OXOOXXOOOXXXRaga Syamalam
OXOOXXOOXOXXRaga Vijayanagari
OXOOXXOOXXOXRaga Simharava (Sinharavam), Gopikatilaka
OXOOXXOOXXXORaga Amarasenapriya, Raga Kaikavasi
OXOOXXOXOOXXRaga Neelangi
OXOOXXOXOOXXMessiaen's truncated 2, Petruskka chord, Major-bitonal Hexachord, Raga Neelangi
OXOOXXOXOXOXTakemitsu Tree Line mode 2
OXOOXXOXOXXOTakemitsu Tree Line mode 1
OXOOXXOXXOXORaga Ranjani, Rangini
OXOOXXXOOXOXRaga Trimurti
OXOOXXXOXOOXRaga Manavi
OXOOXXXOXOXOHawaiian
OXOXOOOOXXXXRaga Dipak
OXOXOOXOOXXXMelodic-minor Hexachord
OXOXOOXOXOXXGuidon/Arezzo Major Diatonic/Natural/Genuine/Persian Hexachord, Quartal Hexamirror, Raga Kambhoji, Devarangini, Scottish Hexatonic
OXOXOOXOXXOXRaga Siva Kambhoji, Vivardhini
OXOXOOXOXXXORaga Nalinakanti, Kedaram, Vilasini
OXOXOOXXOXXORaga Sarasanana
OXOXOOXXXOOXRaga Rageshri (Rageshwari), Nattaikurinji
OXOXOOXXXOXORaga Hamsa Vinodini
OXOXOXOOXOXXDominanth-11th, Natural/Genuine/Lydian Hexachord, Raga Yamuna Kalyani, Kalyani Keseri, Airavati, Ancient Chinese
OXOXOXOOXXXORaga Caturangini, Ratnakanthi
OXOXOXOXOOXXHarmonic Hexachord, Augmented-11th, Indian Sviraga
OXOXOXOXOXOXWhole-tone, Messiaen's mode 1, Raga Gopriya, Anhemitonic Hexatonic
OXOXOXOXOXXOEskimo Hexatonic 2(Alaska: Point Hope)
OXOXOXOXXOOXPrometheus, Raga Barbara
OXOXOXOXXOXORaga Mruganandana
OXOXOXXOOXXORaga Latika
OXOXOXXOXOXORaga Kumud, Sankara (Shankara), Lydian Hexatonic
OXOXXOXOOXOXRaga Navamanohari
OXOXXOXOOXXORaga Bhinna Pancama
OXOXXOXOXOOXP'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Mixolydian Hexatonic
OXOXXOXOXOXORaga Nagagandhari
OXOXXOXOXXOORaga Brindabani Sarang, Megh (Megh Malhar)
OXOXXXOOOXOXRaga Jaganmohanam
OXOXXXOOXOOXRaga Sarasvati
OXOXXXOOXOXORaga Nishadi
OXOXXXOOXXOORaga Malarani (Hamsanada)
OXXOOOXOXXOXRaga Bhanumanjari, Jog
OXXOOXOOXXXORaga Rasamanjari
OXXOOXXOOXXOMessiaen's truncated mode 3 inverse, Major Augmented scale, Genus tertium, Raga Devamani
OXXOXOOOXXOXBlues scale I, Raga Nileshwari
OXXOXOOXOXXXMinor-diminished Ninth Chord
OXXOXOXOOXOXRaga Gopikavasantam, Desya Todi, Phrygian Hexatonic
OXXOXOXOOXXORaga Takka
OXXOXOXOXOOXRaga Manohari
OXXOXXOOXOOXRaga Madhukauns (hexatonic)
OXXOXXOOXXOORaga Jivantini, Gaurikriya
OXXXOOOXXXOOMessiaen's mode 5 inverse
OXXXOOXOOOXXRaga Saravati (Sharavati)
OXXXOOXOOXOXRaga Kamalamanohari
OXXXOOXOOXXORaga Paraju, Ramamanohari, Simhavahini, Sindhu Ramakriya, Kamalamanohari
OXXXOOXOXOOXRaga Khamas, Baduhari
OXXXOOXOXOXORaga Hari Nata, Genus secundum
OXXXOOXOXXOORaga Tilang, Savitri, Brindabani Tilang
OXXXOXOOOXOXRaga Jyoti
OXXXOXOOXOOXRaga Vutari
OXXXOXOOXXOORaga Vijayavasanta



Heptatonics : (12.11.10.9.8.7.6 /7!) /12 = 66 (inversion of pentatonisism)
Natural/Genuine M = Medieval(ecclesiastical), G = Greek
OXOXOXOOXOXOM.Lydian, G.Hypolydian, Kalyan That (Yaman), Mela Mecakalyani, Raga Shuddh Kalyan, Ping: China, Kung, Gu: China, Chinese heptatonic
OXOXOOXOXOXOM.Ionian, G.Lydian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Ghana Heptatonic, Peruvian major, 4th plagal Byzantine, Ararai: Ethiopian, Makam Cargah, Ajam Ashiran, Dastgah Mahur, Dastgah Rast Panjgah, Xin: China
OXOXOOXOXOOXM.Mixolydian, G.Hypophrygian, G.Ionian (Iastian), G.M.Hypoionian, Khamaj That, Mela Harikambhoji, Raga Harini, Janjhuti, Surati, Mischung 3, Ching: China, Shang: China, Gregorian nr.7
OXOOXOXOXOOXM.Dorian, G.Phrygian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Raga Sriraga, Bhimpalasi, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Jazz minor
OXOOXOXOOXOXM.Aeolian, G.M.Hypodorian, G.G.Hyperphrygian, Natural Minor, Asavari That, Mela Nathabhairavi, Raga Jaunpuri, Raga Adana, Se: China, Chiao: China, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian minor, Geez, Ezel: Ethiopian, Kiourdi descending: Greece
OOXOXOXOOXOXM.Phrygian, G.Dorian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Raga Bilashkhani Todi, In: Japan, Makam Kurd, Gregorian nr.3, Ousak: Greece, Major inverse
OOXOXOOXOXOXM.Locrian, G.Mixolydian, G.Hyperdorian, M.Hypophrygian, Pien chih: China, Makam Lami, Yishtabach: Jewish


OOOOOOOXXXXXChromatic Heptamirror
OOOOXOOXXOXXDebussy's Heptatonic
OOOXOXOXOOXXNeapolitan
OOOXOXXOOOXXChromatic Phrygian inverse
OOOXXOOOXOXXChromatic Hypophrygian inverse, Indian
OOOXXOOOXXOXChromatic Mixolydian
OOOXXOXOOOXXChromatic Dorian, Mela Kanakangi, Raga Kanakambari
OOOXXOXOOXOXMela Ratnangi, Raga Phenadyuti
OOOXXOXOOXXOMela Ganamurti, Raga Ganasamavarali
OOOXXOXOXOOXMela Vanaspati, Raga Bhanumati
OOOXXOXOXOXOMela Manavati, Raga Manoranjani
OOOXXOXOXXOOMela Tanarupi, Raga Tanukirti
OOOXXXOOOOXXMela Salaga
OOOXXXOOOXOXMela Jalarnava
OOOXXXOOOXXOMela Jhalavarali, Raga Varali, Jinavali
OOOXXXOOXOOXMela Navanitam, Raga Nabhomani
OOOXXXOOXOXOMela Pavani, Raga Kumbhini
OOOXXXOOXXOOMela Raghupriya, Raga Ravikriya, Ghandarva
OOXOOXOOXOXXGypsy, Moravian Pistalkova (Whistle), Alternating Heptachord.1
OOXOOXOXOOXXUltra Locrian, Mixolydian sharp 1
OOXOOXOXOXOXSuper Locrian, Altered, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel, Bartok's, Aug.13th Heptamirror,
OOXOOXXOOXOXMakam Huzzam, Maqam Saba Zamzam, Phrygian flat 4
OOXOXOOXOOXXLocrian double-flat 7
OOXOXOOXXOOXLocrian natural 6, Maqam Tarznauyn
OOXOXOXOOOXXMela Senavati, Raga Senagrani, Malini
OOXOXOXOOXXONeapolitan Minor, Mela Dhenuka, Raga Dhunibinnashadjam, Maqam Shahnaz Kurdi
OOXOXOXOXOOXMela Natakapriya, Jazz Minor inverse, Phrygian sharp 6, Phrygian-Mixolydian, Raga Natabharanam, Ahiri Todi, Javanese
OOXOXOXOXOXONeapolitan Major, Phrygian Major, Mela Kokilapriya, Raga Kokilaravam
OOXOXOXOXXOOMela Rupavati
OOXOXXOOOOXXMela Gavambodhi, Raga Girvani
OOXOXXOOOXOXMela Bhavapriya, Raga Bhavani, Kalamurti
OOXOXXOOOXXOTodi That, Todi theta, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam, Chromatic Lydian inverse
OOXOXXOOXOOXMela Sadvidhamargini, Raga Sthavarajam, Tivravahini
OOXOXXOOXOXOMela Suvarnangi, Raga Sauviram
OOXOXXOOXXOOMela Divyamani
OOXXOOOXOXXORaga Lalita, Chromatic Hypolydian inverse, Raga Suddha Pancama
OOXXOOOXXOOXOriental, Raga Ahira-Lalita, Minor Gipsy inverse, Tsinganikos: Greece
OOXXOOOXXOXOChromatic Lydian, Raga Lalit, Bhankar
OOXXOOXOOOXXMela Gayakapriya, Raga Kalakanti, Gipsy Hexatonic
OOXXOOXOOXOXMajor Phrygian, Phrygian Dominant, Mela Vakulabharanam, Alhijaz: Arabic, Raga Jogiya, Raga Vativasantabhairavi, Ahava Rabba: Jewish, Maqam Humayun, Hitzaz: Greece, Dorico Flamenco: Spain(Jewish), Harmonic Major inverse
OOXXOOXOOXXOMajor Gipsy, Persian, Double Harmonic Major, Bhairav That, Mela Mayamalavagaula, Byzantine Liturgical Chromatic, (Gypsy), Raga Paraj, Kalingada, Hitzazkiar: Greece, Maqam Zengule, Hijaz Kar, Suzidil
OOXXOOXOXOOXHarmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran, Mixolydian Flat 2
OOXXOOXOXOXOMela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram
OOXXOOXOXXOOMela Hatakambari, Raga Jeyasuddhamalavi
OOXXOOXXOXOOVerdi's Enigmatic descending
OOXXOXOOOOXXMela Dhavalambari, Foulds' Mantra of Will scale
OOXXOXOOOXOXMela Namanarayani, Raga Narmada, Pratapa
OOXXOXOOOXXOChromatic Hypolydian, Purvi That, Mela Kamavardhani, Raga Shri, Pantuvarali, Basant, Kasiramakriya, Suddharamakriya, Puriya Dhanashri, Dhipaka, Pireotikos: Greece, Purvintheta
OOXXOXOOXOOXMela Ramapriya, Raga Ramamanohari, Romanian Major, Petrushka chord
OOXXOXOOXOXOMarva That, Mela Gamanasrama, Raga Partiravam, Raga Gamakakriya, Puriya, Puriya Kalyan, Sohani, Peiraiotikos: Greece
OOXXOXOOXXOOMela Visvambhari, Raga Vamsavathi
OOXXOXOXOXOOVerdi's Enigmatic ascending, Enigmatic
OXOOOXXOOOXXChromatic Hypodorian, Raga Dvigandharabushini, Blues variation 1, Greek Chromatic, Indian
OXOOOXXOOXOXSabach (Sambah): Greece
OXOOXOOOXXOXModified Blues
OXOOXOOXOXOXMinor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5
OXOOXOOXOXXOLocrian no.2
OXOOXOOXXOOXMakam Karcigar, Maqam Nahawand Murassah, Dorian flat 5, Kiourdi ascending, Kartzihiar: Greece
OXOOXOOXXOXOJeths' mode
OXOOXOXOOOXXMela Jhankaradhvani, Raga Jhankara Bhramavi
OXOOXOXOOXXOHarmonic Minor, Spanish gipsy, Pilu That, Mela Kiravani, Raga Kiranavali, Mischung 4, Kirvani, Kalyana Vasantha, Deshi(3), Maqam Bayat-e-Esfahan, Sultani Yakah, Zhalibny Minor, Mohammedan
OXOOXOXOXOXOMelodic Minor ascending, Mela Gaurimanohari, Jazz Minor, Minor-Major, Raga Patdip, Velavali, Deshi(2), Mischung 1, Hawaiian
OXOOXOXOXXOOMela Varunapriya, Viravasantham
OXOOXXOOOOXXMela Syamalangi, Raga Shyamalam
OXOOXXOOOXOXHungarian Gypsy, Mela Sanmukhapriya, Raga Camara, Chinthamani
OXOOXXOOOXXOHungarian Minor, Minor Gipsy, Mela Simhendramadhyama, Raga Madhava Manohari, Maqam Suzdil, Maqam Nawa Athar, Hisar, Double Harmonic Minor, Niavent: Greece
OXOOXXOOXOOXRomanian Minor,Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Hedjaz: Jewish, Misheberekh: Jewish, Souzinak (Peiraiotiko Minore), Nigriz: Greece, Dorian sharp 4, Kaffa, Gnossiennes
OXOOXXOOXOXOLydian Diminished, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
OXOOXXOOXXOOMela Nitimati, Raga Nisada, Kaikavasi
OXOXOOOOXOXXTritone Major Heptachord
OXOXOOOXOXOXMajor Locrian, Arabian
OXOXOOXOOOXXMela Mararanjani, Raga Keseri
OXOXOOXOOXOXMixolydian flat 6, Fifth mode of Melodic Minor, Mischung 6, Major-Minor, Mela Carukesi, Raga Charukeshi, Tarangini
OXOXOOXOOXXOHarmonic Major, Mela Sarasangi, Raga Haripriya, Mischung 2, Ethiopian, Tabahaniotiko: Greece
OXOXOOXOXXOOMela Naganandini, Raga Nagabharanam, Samanta
OXOXOOXXOOXOIonian sharp 5
OXOXOOXXXOOORaga Ragesri
OXOXOXOOOOXXMela Kantamani, Raga Kuntala, Srutiranjani, Enigmatic Heptatonic
OXOXOXOOOXOXLydian Minor, Mela Risabhapriya, Raga Ratipriya
OXOXOXOOOXXOMela Latangi, Raga Gitapriya, Hamsalata
OXOXOXOOXOOXLydian Dominant, Lydian 7b, Overtone, Mela Vacaspati, Raga Bhusavati, Lydian-Mixolydian, Bartok
OXOXOXOOXXOOMela Citrambari, Raga Chaturangini
OXOXOXOXOOXOLydian Augmented, Lydian sharp 5
OXOXOXOXOXOOLeading Whole-tone
OXOXXOOOXXOOChromatic Mixolydian inverse
OXOXXOOXOOXONohkan Flute scale: Japan
OXOXXOXOXOOORaga Sorati, Sur Malhar
OXXOOOXOOOXXMela Yagapriya, Raga Kalahamsa
OXXOOOXOOXOXMela Ragavardhani, Raga Cudamani
OXXOOOXOOXXOMela Gangeyabhusani, Raga Gangatarangini, Sengiach: Greece
OXXOOOXOXOOXMela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Bluesy R&R
OXXOOOXOXOXOMela Sulini, Raga Sailadesakshi, Raga Trishuli, Houzam: Greece
OXXOOOXOXXOOMela Calanata, Raga None, Chromatic Dorian inverse
OXXOOOXXOOOXChromatic Hypodorian inverse
OXXOOOXXOXOOChromatic Phrygian
OXXOOXOOOOXXMela Sucaritra, Raga Santanamanjari
OXXOOXOOOXOXMela Jyotisvarupini, Raga Jotismatti
OXXOOXOOOXXOMela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
OXXOOXOOXOOXHungarian Major, Mela Nasikabhusani, Raga Nasamani
OXXOOXOOXOXOMela Kosalam, Raga Kusumakaram, Lydian sharp 2
OXXOOXOOXXOOMela Rasikapriya, Raga Rasamanjari, Hamsagiri
OXXOOXOXOOXOAeolian flat 1
OXXOXOOOXXOOChromatic Hypophrygian, Blues scale III
OXXXOOXOXOOORaga Madhuri



Octatonics : .....=43 (inversion of tetratonisism)
OOOOOOOOXXXXChromatic Octamirror
OOOOOXOOXOXXBlues Octatonic
OOOOXOXOOXOXPhrygian/Aeolian mixed, Greek Complete, Egyptian, Blues, Quartal Octachord, Diatonic Octad
OOOOXOXOOXXOHarmonic and Neapolitan Minor mixed
OOOOXOXOXOOXAdonai Malakh: Jewish
OOOOXXOOOOXXMessiaen's mode 4
OOOXOXOOOOXXEnigmatic Octatonic, Free-constructed
OOOXOXOOOXOXMessiaen's mode 6
OOXOOOOXOXOXSpanish Octatonic, Eight-tone Spanish, Espla's scale
OOXOOOOXXOOXMaqam Shadd'araban
OOXOOOXOOXOXSpanish Phrygian, Major-Minor, Blues, Spanish
OOXOOXOOXOOXAlternating Octatonic, Messiaen's mode 2, Dominant Diminished, Half-Whole step scale, Combination Diminished, Diminished Blues, Symmetrical
OOXOOXOOXOXOShostakovich
OOXOOXOXOOXOMagen Abot: Jewish
OOXOOXOXOOXOMagen Abot: Jewish
OOXOXOOOOXOXPhrygian/Locrian mixed
OOXOXOOOOXXOHalf-diminished Bebop
OOXOXOOOXOXOVan der Horst Octatonic
OOXOXOOXOXOOProkofiev
OOXOXXOOOXOONeveseri: Greece
OOXXOOOOOXXORaga Ramkali (Ramakri)
OOXXOOOOXOXORaga Bhatiyar
OOXXOOOXOXOOVerdi's Scala enigmatica
OOXXOOXOOOXORaga Saurashtra
OOXXOOXOOXOOMaqam Hijaz
OXOOOOXOXOOXMinor Bebop, Raga Zilla, Mixolydian/Dorian mixed
OXOOXOOOOXXOAlgerian
OXOOXOOOXOOXBlues scale II
OXOOXOOXOOXODiminished, Messiaen's mode 2 inverse, Whole-Half step scale, Modus conjunctus
OXOOXOXOOOOXRaga Mukhari, Anandabhairavi, Deshi, Gregorian nr.1, Dorian/Aeolian mixed
OXOOXOXOOOXOZirafkend: Arabic
OXOOXOXOOXOOMaqam Nahawand, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor
OXOOXOXOXOOORaga Mian Ki Malhar, Bahar, Sindhura
OXOOXXOOOOOXRaga Cintamani
OXOXOOOOOOXXBlues Octatonic
OXOXOOOOXOXOIshikotsucho: Japan, Raga Yaman Kalyan, Chaya nat, Bihag, Hamir Kalyani, Kedar, Genus diatonicum veterum correctum, Gregorian nr.5, Kubilai's Mongol scale, Major/Lydian mixed, Gaud Sarang
OXOXOOOXOXOOMessiaen's mode 6 inverse
OXOXOOXOOOOXMela Mararanjani, Raga Keseri
OXOXOOXOOOXOMajor Bebop, Altered Mixolydian
OXOXOOXOXOOOGenus diatonicum, Dominant Bebop, Raga Khamaj, Desh Malhar, Maqam Shawq Awir, Gregorian nr.6, Major/Mixolydian mixed, Chinese Eight-Tone, Rast: Greece, Alhaiya Bilaval
OXXOOOOXXOOOMessiaen's mode 4 inverse



Enneatonic : .....=19 (inversion of tritonisism)
OOOOOOOOOXXXChromatic Nonamirror
OOOOOOXOOXOXNonatonic Blues
OOOOXOOOOXOXMajor-minor Nonatonic, Ramdasi Malhar
OOOOXOXOOOOXChromatic and Diatonic Dorian mixed
OOOXOOOOXOOXYoulan scale: China, Diminished Nonachord
OOOXOOOXOOOXMessiaen's mode 3, Tsjerepnin
OOOXOOXOOOXOChromatic and Permuted Diatonic Dorian mixed
OOXOOOXOOOXOGenus chromaticum
OOXOOOXOOXOOMoorish Phrygian
OXOOOOOOXOOXBlues Enneatonic, Blues Nonatonic
OXOOOOXOOOOXHouseini: Greece, Modes of Major Pentatonic mixed
OXOOOOXOXOOOMajor/Dorian mixed, Raga Malgunji, Raga Ramdasi Malhar
OXOOOXOOOXOOMessiaen's mode 3 inverse
OXOOXOOOOOOXKiourdi: Greece
OXOOXOXOOOOORaga Pilu, Full Minor
OXOXOOOOXOOOTaishikicho: Japan, Ryo: Japan, Raga Chayanat, Lydian/Mixolydian mixed
OXOXOOXOOOOORaga Pahadi



Decatonic : .....=6 (inversion of Duotonisism)
OOOOOOOOOOXXChromatic Decamirror
OOOOOOXOOXOORaga Sindhi-Bhairavi
OOOOOXOOOOOXMessiaen's mode 7
OOOXOOOOOXOOSymmetrical Decatonic
OXOOOOOOXOOOMinor pentatonic with leading tones
OXOOOOOXOOOOMessiaen's mode 7 inverse
OXOOOOXOOOOOMajor/Minor mixed



Hendecatonic
OOOOOOOOOOOXChromatic Undecamirror



Dodecatonic
OOOOOOOOOOOOTwelve-tone, Chromatic Dodecamirror

→参考文献:
音楽大百科(平凡社)
ギタースケールパーフェクトブック/ジョー・チャルパコーン(シンコーミュージック)
コードスケールハンドブック/北川佑(リットーミュージック)
Thesaurus of Scales and Melodic Patterns/Nicolas Slonimsky(Amsco)

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