Rhyme schemes by set partition

The rhyme scheme of a poem or stanza can be denoted by a pair (m,n), where m is the number of lines and 0≤n<(m) denotes the set partition (compare ).

Usually the last line will rhyme with some other line, so n implies m - e.g. all schemes between 5 and 14 imply four lines.

The first Bell(5) = 52 set partitions are shown on the right (with Tale of Genji chapter symbols). The first Bell(8) = 4140 are here.

 Contents  1: AA (closed couplet) 2: ABA (enclosed tercet) 4: AAA (triplet) 6: ABBA (enclosed rhyme) 7: ABCB (simple 4-line) 8: ABAB (alternate rhyme) 9: AABA (rubāʿī) 11: AABB (couplet) 14: AAAA (monorhyme) 24: ABAAB 26: AABBA (limerick) 33: ABABA 81: ABAAAB 98: AABCCB <li>128: AAABAB <li>719: ABABBCC (rhyme royal) <li>2785: ABABBCBC (ballade) <li>3401: ABABABCC (ottava rima) </ul>

1
1 2 or AA (closed couplet)

End of I shall forget you presently, my dear by Edna St. Vincent Millay

2
1 3 | 2 or ABA (enclosed tercet)

First stanza of Ode to the West Wind by Percy Shelley

4
1 2 3 or AAA (triplet)

From The Phoenix and the Turtle by William Shakespeare

6
1 4 | 2 3 or ABBA (enclosed rhyme)

First stanza of Days Too Short by William Davies

7
1 | 2 4 | 3 or ABCB (simple 4-line)

First stanza of Million Man March Poem by Maya Angelou

8
1 3 | 2 4 or ABAB (alternate rhyme)

9
1 2 4 | 3 or AABA (rubāʿī)

From Stopping by Woods on a Snowy Evening by Robert Frost

11
1 2 | 3 4 or AABB (couplet)

From Mr. Sandman by Pat Ballard

14
1 2 3 4 or AAAA (monorhyme)

First stanza of The Older I Get by Danielle White

24
1 3 4 | 2 5 or ABAAB

First stanza of The Road Not Taken by Robert Frost

26
1 2 5 | 3 4 or AABBA (limerick)

33
1 3 5 | 2 4 or ABABA

Beginning of the ring verse by J. R. R. Tolkien The complete poem would be scheme 2451 ( ABABACCA ).

81
1 3 4 5 | 2 6 or ABAAAB

From Sylvie and Bruno Concluded, chapter 23, by Lewis Carroll

98
1 2 | 3 6 | 4 5 or AABCCB

From Over The Rainbow by Judy Garland

128
1 2 3 5 | 4 6 or AAABAB

From A Valentine by Lewis Carroll

719
1 3 | 2 4 5 | 6 7 or ABABBCC (rhyme royal)

First stanza of They Flee From Me by Thomas Wyatt (Did danger rhyme with chamber and remember in the 16th century?)

2785
1 3 | 2 4 5 7 | 6 8 or ABABBCBC (the usual rhyme scheme of a ballade)

First stanza of Ballade of a Ship by Edwin Arlington Robinson

3401
1 3 5 | 2 4 6 | 7 8 or ABABABCC (ottava rima)

From Don Juan by George Byron