EXOTIC SCALES : 12 Tone Gamut

以下の表では世界中から集めた様々な民族音階/民族旋法を紹介する。
12音にて構成される音律(一般的には十二等分平均律)を前提として、2音音階から12音音階までを扱う。

一般的なコードスケール/モード手法 Modalにて用いられる教会旋法 Gregorian mode, ジャズマイナー Jazz minorに対する、合成旋法 composite modeや十二音技法 Twelve-tone techniqueにおける可能性を拡げることができると思う。

構成音はO、非構成音はXで示してあり、有名なモティーフは並び替えを行い音階化してある(例:バッハ主題など)。
リスト化にあたっては、構成音の連続を優先して昇順。


Dyad, Duochords 2音列 and duotonics (Ditonic scale ダイトニック 二音音階)
(12.11/2!-6)/12 + 1= 6 (= the six intervall-classes)
OOXXXXXXXXXXSemitone 半音, half step, Minor second(min2nd) 短二度, augmented prime(aug1st) 増一度, Augmented unison
OXOXXXXXXXXXWhole-tone 全音, Major second(Maj2nd) 長二度, Diminished third(dim3rd) 減三度
OXXOXXXXXXXXMinor third(min3rd) 短三度, Augmented second(aug2nd) 増二度
OXXXOXXXXXXXMajor third(Maj3rd) 長三度, Diminished fourth(dim4th) 減四度
OXXXXOXXXXXXPerfect fourth(Per4th) 完全四度, Augmented third(aug3rd) 増三度, Honchoshi 本調子: Japan
OXXXXXOXXXXXTritone 三全音, Augmented fourth(aug4th) 増四度, Diminished fifth(dim5th) 減五度
OXXXXXXOXXXX Perfect fifth(Per5th) 完全五度, Diminished sixth(dim6th) 減六度, Niagari 二上り: Japan
OXXXXXXXOXXXMinor sixth(min6th) 短六度, Augmented fifth(aug5th) 増五度
OXXXXXXXXOXXMajor sixth(Maj6th) 長六度, Diminished seventh(dim7th) 減七度
OXXXXXXXXXOXMinor seventh(min7th) 短七度(, Augmented sixth(aug6th) 増六度, Warao ditonic: South America
OXXXXXXXXXXOMajor seventh(Maj7th) 長七度, Diminished octave(dim8th) 減八度


Trichords トリコルド 3音列 and tritonics (Tritonic scale トライトニック 三音音階)
(12.11.10/3! -6)/12 +1 = 19 (=19 triads)
OOOXXXXXXXXXChromatic 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 三下がり: Japan
OXXXXXOOXXXXRaga Ongkari


Tetrachords テトラコルド 4音列 and tetratonics (Tetratonic scale テトラトニック 四音音階)
(12.11.10.9 / 4! -15)/12 +3 = 43 (=43 tetrachords)
OOOOXXXXXXXXBACH motif バッハ主題, Chromatic Tetramirror
OOOXOXXXXXXXMajor-second Tetracluster.2
OOOXXOXXXXXXMinor-Third Tetracluster.2
OOOXXXOXXXXXMajor-Third Tetracluster.2
OOOXXXXOXXXXPerfect Fourth Tetramirror
OOXOOXXXXXXXAlternating Tetramirror
OOXOXOXXXXXXPhrygian 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
OXOOXOXXXXXXMinor Tetramirror
OXOOXXOXXXXXHarmonic-minor Tetrachord
OXOOXXXOXXXXMajor-second Minor Tetrachord
OXOOXXXXXXOXWarao tetratonic: South America
OXOXOOXXXXXXMajor 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 ペンタコルド 5音列 and pentatonics (Pentatonic scale ペンタトニック 五音音階)
(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 岩戸調子: Japan
OOXXXOXOOXXXHon-kumoi-joshi 本雲井調子, Sakura 桜, Akebono II 曙調子 二: Japan, Olympos Enharmonic, Raga Salanganata, Raga Saveri, Gunakri (Gunakali), Latantapriya
OOXXXOXOXOXXAltered Pentatonic, Raga Manaranjani II
OOXXXOXOXXOXKokin-joshi 古今調子, Miyakobushi 都節, Han-Iwato 半岩戸, In-Sen 陰旋: 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
OXOOXXXOOXXXKata-kumoi 片雲井調子, Yona Nuki mineur マイナーヨナ抜き: Japan, Hira-joshi 平調子: Japanese traditional, Indian-Japan Pentatonic
OXOOXXXOXOXXRaga Sivaranjini (Shivranjani), Akebono I 曙調子 一: Japan, Dorian Pentatonic
OXOXOOOXXXXXTritone-Contracting Pentachord
OXOXOOXOXXXXMajor/Ionic Pentachord, Raga Budhamanohari
OXOXOOXXOXXXDiminished-augmented Ninth Chord
OXOXOXOOXXXXLydian Pentachord リディアンペンタコルド
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/Scotish/Mongolian Pentatonic メジャーペンタトニックスケール, Ryosen 呂旋, Yona Nuki majeur メジャーヨナ抜き, Kankan カンカン調子, Nogi 乃木調子: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Mohanam, Deskar, Bilahariraga, Kokila, Jait Kalyan, Peruvian Pentatonic 1, Ghana pent.2, Slendro スレンドロ, 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 半雲井: Japan, Raga Shobhavari, Sutradhari
OXOXXOXOXOXXRitusen 律旋, Ritsu 律 (Gagaku 雅楽): Japan, Zhi, Zheng: China, Raga Devakriya, Durga, Suddha Saveri, Arabhi, Scottish Pentatonic, Ujo, P'yongjo: Korea, Major complement
OXOXXOXOXXOXYo 陽旋: 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/Blues Pentatonic マイナーペンタトニック, Minyo 民謡音階: Japan, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Peruvian Pentatonic 2
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 ミクソリディアンペンタトニック, Raga Savethri
OXXXOOXOXXXORyukyu 琉球音階: Japan, Raga Gambhiranata, 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 ヘキサコルド 6音列 and hexatonics (Hexatonic scale ヘキサトニック 六音音階)
(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 inverse メシアンの「移調の限られた旋法」第5番 展開型
OOOXXXOOXOXXRaga Chandrajyoti
OOOXXXOOXXXORaga Vijayasri
OOXOOXOOXXXXAlternating Hexamirror
OOXOOXXOXOXXIndian Dipaka, Prometheus Neapolitan
OOXOXOOXOXXXLocrian Hexachord, Suddha Saveriraga
OOXOXOOXXOXXDouble-Phrygian Hexatonic
OOXOXOOXXXOXHonchoshi plagal form 本調子変格: Japan
OOXOXOXOOXXXPhrygian Hexamirror, Raga Suddha Simantini
OOXOXOXOXOXXScriabin's Mystic, Prometheus Hexachord
OOXOXOXOXXOXRaga Gandharavam
OOXOXOXXOXOXRitsu 律音階: 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
OOXXXOOOXXX0Messiaen's mode 5 メシアンの「移調の限られた旋法」第5番
OOXXXOXOOOXXRaga Kalakanthi
OOXXXOXOOXOXRaga Phenadyuti, Insen 陰旋, Honchoshi 本調子, Niagari 二上がり: 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 陽音階: 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 武満徹 (1988)
OXOOXXOXOXXOTakemitsu Tree Line mode 1 武満徹 (1988)
OXOOXXOXXOXORaga Ranjani, Rangini
OXOOXXXOOXOXRaga Trimurti
OXOOXXXOXOOXRaga Manavi
OXOOXXXOXOXOHawaiian
OXOXOOOOXXXXRaga Dipak
OXOXOOXOOXXXMelodic-minor Hexachord
OXOXOOXOXOXXGuidon/Arezzo Major Diatonic/Natural/Genuine/Persian Hexachord, Scottish Hexatonic, Quartal Hexamirror, Raga Kambhoji, Devarangini
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 全音音階 ホール・トーン, Messiaen's mode 1 メシアンの「移調の限られた旋法」第1番, Raga Gopriya, Anhemitonic Hexatonic
OXOXOXOXOXXOEskimo Hexatonic 2(Alaska: Point Hope)
OXOXOXOXXOOXPrometheus プロメテウス, Raga Barbara
OXOXOXOXXOXORaga Mruganandana
OXOXOXXOOXXORaga Latika
OXOXOXXOXOXOLydian Hexatonic リディアンヘキサトニック, Raga Kumud, Sankara (Shankara)
OXOXXOXOOXOXRaga Navamanohari
OXOXXOXOOXXORaga Bhinna Pancama
OXOXXOXOXOOXYosen 陽旋: Japan, P'yongjo: Korea, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Mixolydian Hexatonic ミクソリディアンヘキサトニック
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 メシアンの「移調の限られた旋法」第5番展開型
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



Heptachords ヘプタコルド 7音列 and Heptatonics (Heptatonic scale ヘプタトニック 七音音階)
(12.11.10.9.8.7.6 /7!) /12 = 66 (inversion of pentatonisism)
Natural/GenuineM = Medieval(ecclesiastical)
OOOOOOOXXXXXChromatic Heptamirror
OOOOXOOXXOXXDebussy's Heptatonic ドビュッシーの七音音階
OOOXOXOXOOXXNeapolitan
OOOXOXXOOOXXChromatic Phrygian inverse クロマティックフリジアン展開型
OOOXXOOOXOXXChromatic Hypophrygian inverseクロマティックヒポフリジアン展開型, Indian
OOOXXOOOXXOXChromatic Mixolydian クロマティックミクソリディアン
OOOXXOXOOOXXChromatic Dorian クロマティックドリアン, 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
OOOXOXOXOXOXAltered flat 3 オルタード♭3, Super Locrian flat 3 スーパーロクリアン♭3
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, Super Locrian double-flat 7 スーパーロクリアン♭♭7, Mixolydian sharp 1 ミクソリディアン♯1
OOXOOXOXOXOXAltered オルタード, Locrian flat 4 ロクリアン♭4, Diminished Whole-tone ディミニッシュホールトーン, Super Locrian スーパーロクリアン, Pomeroy, Ravel, Bartok's, Aug.13th Heptamirror,
OOXOOXXOOXOXPhrygian flat 4 フリジアン♭4, Makam Huzzam, Maqam Saba Zamzam
OOXOXOOXOOXXLocrian double-flat 7 ロクリアン♭♭7
OOXOXOOXOXOXM.Locrian ロクリアン, Greek Mixolydian, Greek Hyperdorian, M.Hypophrygian, Pien chih: China, Makam Lami, Yishtabach: Jewish
OOXOXOOXXOOXLocrian natural 6 ロクリアンM6, Maqam Tarznauyn
OOXOXOXOOOXXMela Senavati, Raga Senagrani, Malini
OOXOXOXOOXOXM.Phrygian フリジアン, Greek Dorian, Greek M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Raga Bilashkhani Todi, In 陰音階: Japan, Makam Kurd, Gregorian nr.3, Ousak: Greece, Major inverse
OOXOXOXOOXXONeapolitan Minor ナポリタンマイナー, Mela Dhenuka, Raga Dhunibinnashadjam, Maqam Shahnaz Kurdi
OOXOXOXOXOOXDorian flat 2 ドリアン♭2, Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Raga Natabharanam, Ahiri Todi, Javanese
OOXOXOXOXOXONeapolitan Major ナポリタンメジャー, Phrygian Major, Mela Kokilapriya, Raga Kokilaravam
OOXOXOXOXXOOMela Rupavati
OOXOXXOOOOXXMela Gavambodhi, Raga Girvani
OOXOXXOOOXOXMela Bhavapriya, Raga Bhavani, Kalamurti
OOXOXXOOOXXOChromatic Lydian inverse クロマティックリディアン展開型, Todi That, Todi theta, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam
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 フリジアン M3, Phrygian sharp 3 フリジアン♯3, 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 ビザンチン, (Gypsy), Raga Paraj, Kalingada, Hitzazkiar: Greece, Maqam Zengule, Hijaz Kar, Suzidil
OOXXOOXOXOOXMixolydian Flat 2 ミクソリディアン♭2, Harmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran
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
OXOOOXOXOXOXAltered Major 2 オルタードM2, Diminished Whole-tone Major 2 ディミニッシュホールトーンM2, Super Locrian Major 2 スーパーロクリアンM2
OXOOOXXOOOXXChromatic Hypodorian, Raga Dvigandharabushini, Blues variation 1, Greek Chromatic, Indian
OXOOOXXOOXOXSabach (Sambah): Greece
OXOOXOOOXXOXModified Blues
OXOOXOOXOXOXAeolian flat 5 エオリアン♭5, Minor flat 5, Minor Locrian, Half Diminished, Locrian sharp 2
OXOOXOOXOXXOLocrian no.2
OXOOXOOXXOOXDorian flat 5 ドリアン♭5, Makam Karcigar, Maqam Nahawand Murassah, Kiourdi ascending, Kartzihiar: Greece
OXOOXOOXXOXOJeths' mode
OXOOXOXOOOXXMela Jhankaradhvani, Raga Jhankara Bhramavi
OXOOXOXOOXOXM.Aeolian エオリアン, Greek M.Hypodorian, Greek Greek 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
OXOOXOXOOXXOHarmonic Minor ハーモニックマイナー, Aeolian major seventh エオリアンメジャー7th, Spanish gipsy, Pilu That, Mela Kiravani, Raga Kiranavali, Mischung 4, Kirvani, Kalyana Vasantha, Deshi(3), Maqam Bayat-e-Esfahan, Sultani Yakah, Zhalibny Minor, Mohammedan
OXOOXOXOXOOXJazz minor ジャズマイナー, M.Dorian ドリアン, Greek Phrygian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Raga Sriraga, Bhimpalasi, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo 平調, Oshikicho 黄鐘調, Banshikicho 盤渉調: Japan
OXOOXOXOXOXOMelodic Minor ascending メロディックマイナー上昇, 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 ハンガリアンマイナー, Minor Gipsy, Mela Simhendramadhyama, Raga Madhava Manohari, Maqam Suzdil, Maqam Nawa Athar, Hisar, Double Harmonic Minor, Niavent: Greece
OXOOXXOOXOOXDorian sharp 4 ドリアン♯4, Romanian Minor,Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Hedjaz: Jewish, Misheberekh: Jewish, Souzinak (Peiraiotiko Minore), Nigriz: Greece, Kaffa, Gnossiennes
OXOOXXOOXOXOLydian flat 3 リディアン♭3, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
OXOOXXOOXXOOMela Nitimati, Raga Nisada, Kaikavasi
OXOXOOOOXOXXTritone Major Heptachord
OXOXOOOXOXOXMajor Locrian メジャーロクリアン, Arabian
OXOXOOXOOOXXMela Mararanjani, Raga Keseri
OXOXOOXOOXOXMixolydian flat 6 ミクソリディアン♭6, Fifth mode of Melodic Minor, Mischung 6, Major-Minor, Mela Carukesi, Raga Charukeshi, Tarangini
OXOXOOXOOXXOHarmonic Major ハーモニックメジャー, Molldur, Mela Sarasangi, Raga Haripriya, Mischung 2, Ethiopian, Tabahaniotiko: Greece
OXOXOOXOXOOXM.Mixolydian ミクソリディアン, Greek Hypophrygian, Greek Ionian (Iastian), Greek M.Hypoionian, Khamaj That, Mela Harikambhoji, Raga Harini, Janjhuti, Surati, Mischung 3, Ching: China, Shang: China, Gregorian nr.7
OXOXOOXOXOXOM.Ionian イオニアン, Greek 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
OXOXOOXOXXOOMela Naganandini, Raga Nagabharanam, Samanta
OXOXOOXXOOXOIonian sharp 5 イオニアン♯5
OXOXOOXXXOOORaga Ragesri
OXOXOXOOOOXXMela Kantamani, Raga Kuntala, Srutiranjani, Enigmatic Heptatonic
OXOXOXOOOXOXLydian Minor リディアンマイナー, Mela Risabhapriya, Raga Ratipriya
OXOXOXOOOXXOMela Latangi, Raga Gitapriya, Hamsalata
OXOXOXOOXOOXLydian Dominant リディアンドミナント, Lydian flat seventh リディアン♭7, Overtone 倍音列(近似値), Mela Vacaspati, Raga Bhusavati, Lydian-Mixolydian, Bartok
OXOXOXOOXOXOM.Lydian リディアン, Greek Hypolydian, Kalyan That (Yaman), Mela Mecakalyani, Raga Shuddh Kalyan, Ping: China, Kung, Gu: China, Chinese heptatonic
OXOXOXOOXXOOMela Citrambari, Raga Chaturangini
OXOXOXOXOOOXLydian Dominant sharp 5 リディアンドミナント♯5, Overtone sharp 5 倍音列(近似値)♯5
OXOXOXOXOOXOLydian Augmented リディアンオーギュメント, Lydian sharp 5 リディアン♯5
OXOXOXOXOXOOLeading Whole-tone リーディングホールトーン
OXOXXOOOXXOOChromatic Mixolydian inverse クロマティックミクソリディアン展開型
OXOXXOOXOOXONohkan Flute scale 能管: 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
OXXOOOXOXXOOChromatic Dorian inverse クロマティックドリアン展開型, Mela Calanata, Raga None
OXXOOOXXOOOXChromatic Hypodorian inverse クロマティックヒポドリアン 展開型
OXXOOOXXOXOOChromatic Phrygian クロマティックフリジアン
OXXOOXOOOOXXMela Sucaritra, Raga Santanamanjari
OXXOOXOOOXOXMela Jyotisvarupini, Raga Jotismatti
OXXOOXOOOXXOMela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
OXXOOXOOXOOXHungarian Major ハンガリアンメジャー, Mela Nasikabhusani, Raga Nasamani
OXXOOXOOXOXOLydian sharp 2 リディアン♯2, Mela Kosalam, Raga Kusumakaram
OXXOOXOOXXOOMela Rasikapriya, Raga Rasamanjari, Hamsagiri
OXXOOXOXOOXOLydian Augmented sharp 2 リディアンオーギュメント♯2, Aeolian flat 1 エオリアン♭1
OXXOXOOOXXOOChromatic Hypophrygian, Blues scale III
OXXXOOXOXOOORaga Madhuri




Octachords オクタコルド 8音列 and Octatonics (Octatonic scale オクタトニック 八音音階)
.....=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 メシアンの「移調の限られた旋法」第4番
OOOXOXOOOOXXEnigmatic Octatonic, Free-constructed
OOOXOXOOOXOXMessiaen's mode 6 メシアンの「移調の限られた旋法」第6番
OOXOOOOXOXOXSpanish Octatonic, Eight-tone Spanish, Espla's scale
OOXOOOOXXOOXMaqam Shadd'araban
OOXOOOXOOXOXSpanish Phrygian, Major-Minor, Blues, Spanish
OOXOOXOOXOOXAlternating Octatonic, Messiaen's mode 2 メシアンの「移調の限られた旋法」第2番, Dominant Diminished, Half-Whole step scale, Combination Diminished コンビネーション ディミニッシュ, 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, Whole-Half step scale, Messiaen's mode 2 inverse メシアンの「移調の限られた旋法」第2番展開型, 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
OXOXOOOOXOXOMajor/Lydian mixed, Ichikotsucho 壱越調: Japan, Raga Yaman Kalyan, Chaya nat, Bihag, Hamir Kalyani, Kedar, Genus diatonicum veterum correctum, Gregorian nr.5, Kubilai's Mongol scale, Gaud Sarang
OXOXOOOXOXOOMessiaen's mode 6 inverse メシアンの「移調の限られた旋法」第6番展開型
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 メシアンの「移調の限られた旋法」第4番展開型


Enneatonic エネアトニック 9音列 九音音階
.....=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 メシアンの「移調の限られた旋法」第3番, Tcherepnin チェレプニン音階
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 メシアンの「移調の限られた旋法」第3番展開型, Tcherepnin inverse チェレプニン音階展開型
OXOOXOOOOOOXKiourdi: Greece
OXOOXOXOOOOORaga Pilu, Full Minor
OXOXOOOOXOOOLydian/Mixolydian mixed, Taishikicho 太食調, Ryo 呂音階: Japan, Raga Chayanat
OXOXOOXOOOOORaga Pahadi


Decatonic デカトニック 10音列 十音音階
.....=6 (inversion of Duotonisism)
OOOOOOOOOOXXChromatic Decamirror
OOOOOOXOOXOORaga Sindhi-Bhairavi
OOOOOXOOOOOXMessiaen's mode 7 メシアンの「移調の限られた旋法」第7番
OOOXOOOOOXOOSymmetrical Decatonic
OXOOOOOOXOOOMinor pentatonic with leading tones
OXOOOOOXOOOOMessiaen's mode 7 inverse メシアンの「移調の限られた旋法」第7番展開型
OXOOOOXOOOOOMajor/Minor mixed


Hendecatonic ヘンデカトニック 11音列 十一音音階
OOOOOOOOOOOXChromatic Undecamirror


Dodecatonic ドデカトニック 12音列 十二音音階
OOOOOOOOOOOOChromatic scale, Twelve-tone, Chromatic Dodecamirror

→参考文献:
「音楽大事典」平凡社, 1983
ジョー・チャルパコーン「ギタースケールパーフェクトブック」シンコーミュージック, 2001
北川佑「コードスケールハンドブック」リットーミュージック, 1998
Charles Colin, Don Schaeffer "Encyclopedia of scales : for teachers, students, composers, arrangers, all instrumentalists" New York: Colin, 1973
Nicolas Slonimsky "Thesaurus of Scales and Melodic Patterns"Amsco, 1975

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