Below are links to several PDFs that students may find helpful in their study of music theory.

# Table of Set Classes

The table has two vertical halves. The smaller set classes are in the left half, and the larger in the right. Together, the two set classes are complementary (together, they create the chromatic set).

Prime
Form
Forte
Number
Interval
Class
Vector
Prime
Form
Forte
Number
Interval
Class
Vector
(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>