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01. 유용한 자료

음악 이론을 공부할 때 곁에 두고 쓸 수 있는 PDF와 집합류 표를 모았음.

표를 세로로 둘로 나눠 원소 수가 적은 집합류는 왼쪽, 많은 집합류는 오른쪽에 놓았음. 같은 행의 두 집합류는 서로 여집합 관계이며, 둘을 합치면 반음계 집합이 됨.

원형포르테 번호음정류 벡터원형포르테 번호음정류 벡터
(012)3–1<210000>(012345678)9–1<876663>
(013)3–2<111000>(012345679)9–2<777663>
(014)3–3<101100>(012345689)9–3<767763>
(015)3–4<100110>(012345789)9–4<766773>
(016)3–5<100011>(012346789)9–5<766674>
(024)3–6<020100>(01234568T)9–6<686763>
(025)3–7<011010>(01234578T)9–7<677673>
(026)3–8<010101>(01234678T)9–8<676764>
(027)3–9<010020>(01235678T)9–9<676683>
(036)3–10<002001>(01234679T)9–10<668664>
(037)3–11<001110>(01235679T)9–11<667773>
(048)3–12<000300>(01245689T)9–12<666963>
(0123)4–1<321000>(01234567)8–1<765442>
(0124)4–2<221100>(01234568)8–2<665542>
(0125)4–4<211110>(01234578)8–4<655552>
(0126)4–5<210111>(01234678)8–5<654553>
(0127)4–6<210021>(01235678)8–6<654463>
(0134)4–3<212100>(01234569)8–3<656542>
(0135)4–11<121110>(01234579)8–11<565552>
(0136)4–13<112011>(01234679)8–13<556453>
(0137)4–Z29<111111>(01235679)8–Z29<555553>
(0145)4–7<201210>(01234589)8–7<645652>
(0146)4–Z15<111111>(01234689)8–Z15<555553>
(0147)4–18<102111>(01235689)8–18<546553>
(0148)4–19<101310>(01245689)8–19<545752>
(0156)4–8<200121>(01234789)8–8<644563>
(0157)4–16<110121>(01235789)8–16<554563>
(0158)4–20<101220>(01245789)8–20<545662>
(0167)4–9<200022>(01236789)8–9<644464>
(0235)4–10<122010>(02345679)8–10<566452>
(0236)4–12<112101>(01345679)8–12<556543>
(0237)4–14<111120>(01245679)8–14<555562>
(0246)4–21<030201>(0123468T)8–21<474643>
(0247)4–22<021120>(0123568T)8–22<465562>
(0248)4–24<020301>(0124568T)8–24<464743>
(0257)4–23<021030>(0123578T)8–23<465472>
(0258)4–27<012111>(0124578T)8–27<456553>
(0268)4–25<020202>(0124678T)8–25<464644>
(0347)4–17<102210>(01345689)8–17<546652>
(0358)4–26<012120>(0134578T)8–26<456562>
(0369)4–28<004002>(0134679T)8–28<448444>
(01234)5–1<432100>(0123456)7–1<654321>
(01235)5–2<332110>(0123457)7–2<554331>
(01236)5–4<322111>(0123467)7–4<544332>
(01237)5–5<321121>(0123567)7–5<543342>
(01245)5–3<322210>(0123458)7–3<544431>
(01246)5–9<231211>(0123468)7–9<453432>
(01247)5–Z36<222121>(0123568)7–Z36<444342>
(01248)5–13<221311>(0124568)7–13<443532>
(01256)5–6<311221>(0123478)7–6<533442>
(01257)5–14<221131>(0123578)7–14<443352>
(01258)5–Z38<212221>(0124578)7–Z38<434442>
(01267)5–7<310132>(0123678)7–7<532353>
(01268)5–15<220222>(0124678)7–15<442443>
(01346)5–10<223111>(0123469)7–10<445332>
(01347)5–16<213211>(0123569)7–16<435432>
(01348)5–Z17<212320>(0124569)7–Z17<434541>
(01356)5–Z12<222121>(0123479)7–Z12<444342>
(01357)5–24<131221>(0123579)7–24<353442>
(01358)5–27<122230>(0124579)7–27<344451>
(01367)5–19<212122>(0123679)7–19<434343>
(01368)5–29<122131>(0124679)7–29<344352>
(01369)5–31<114112>(0134679)7–31<336333>
(01457)5–Z18<212221>(0145679)7–Z18<434442>
(01458)5–21<202420>(0124589)7–21<424641>
(01468)5–30<121321>(0124689)7–30<343542>
(01469)5–32<113221>(0134689)7–32<335442>
(01478)5–22<202321>(0125689)7–22<424542>
(01568)5–20<211231>(0125679)7–20<433452>
(02346)5–8<232201>(0234568)7–8<454422>
(02347)5–11<222220>(0134568)7–11<444441>
(02357)5–23<132130>(0234579)7–23<354351>
(02358)5–25<123121>(0234679)7–25<345342>
(02368)5–28<122212>(0135679)7–28<344433>
(02458)5–26<122311>(0134579)7–26<344532>
(02468)5–33<040402>(012468T)7–33<262623>
(02469)5–34<032221>(013468T)7–34<254442>
(02479)5–35<032140>(013568T)7–35<254361>
(03458)5–Z37<212320>(0134578)7–Z37<434541>
(012345)6–1<543210>
(012346)6–2<443211>
(012347)6–Z36<433221>(012356)6–Z3<433221>
(012348)6–Z37<432321>(012456)6–Z4<432321>
(012357)6–9<342231>
(012358)6–Z40<333231>(012457)6–Z11<333231>
(012367)6–5<422232>
(012368)6–Z41<332232>(012467)6–Z12<332232>
(012369)6–Z42<324222>(013467)6–Z13<324222>
(012378)6–Z38<421242>(012567)6–Z6<421242>
(012458)6–15<323421>
(012468)6–22<241422>
(012469)6–Z46<233331>(013468)6–Z24<233331>
(012478)6–Z17<322332>(012568)6–Z43<322332>
(012479)6–Z47<233241>(013568)6–Z25<233241>
(012569)6–Z44<313431>(013478)6–Z19<313431>
(012578)6–18<322242>
(012579)6–Z48<232341>(013578)6–Z26<232341>
(012678)6–7<420243>
(013457)6–Z10<333321>(023458)6–Z39<333321>
(013458)6–14<323430>
(013469)6–27<225222>
(013479)6–Z49<224322>(013569)6–Z28<224322>
(013579)6–34<142422>
(013679)6–30<224223>
(023679)6–Z29<224232>(014679)6–Z50<224232>
(014568)6–16<322431>
(014579)6–31<223431>
(014589)6–20<303630>
(023457)6–8<343230>
(023468)6–21<242412>
(023469)6–Z45<234222>(023568)6–Z23<234222>
(023579)6–33<143241>
(024579)6–32<143250>
(02468T)6–35<060603>
Helpful documents – Open Music Theory
Open Music Theory is a natively-online open educational resource intended to serve as the primary text and workbook for undergraduate music theory curricula.
https://viva.pressbooks.pub/openmusictheory/back-matter/helpful-documents/

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