Схема рифмовки строфы

Теория стихосложения (стиховедение) изучает в том числе строфику.

Схема строфы — порядок рифм в строфе; в обиходе ее также называют схемой рифмовки строфы или просто схемой рифмовки.

Существуют разные широко употребляемые схемы и известные строфы (четверостишие перекрестной рифмовки, лимерик, онегинская строфа). Но возникает вопрос: каковы все возможные схемы рифмовки, все возможные комбинации рифм в строфе с данным количеством строк? Этот вопрос стоит на стыке поэтики и математики, а если точнее — стиховедения и комбинаторики. Назовем ответ на него комбинаторикой строф.

Строфы и их схемы могут быть: полнорифмованными (рифмованными, каждая строка рифмуется хотя бы с одной другой строкой); частично рифмованными (с белыми стихами); нерифмованными (из белых стихов).

Общее число схем рифмовки для строфы в n строк определятся числами Белла — включая сюда полнорифмованные, частично рифмованные и одну нерифмованную. Число полнорифмованных схем строфы устанавливается последовательностью A000296 из «Онлайн-энциклопедии целочисленных последовательностей».

Строфа	Вариантов рифмовки	Полной рифмовки
Одностишия	1	0
Двустишия	2	1
Трехстишия	5	1
Четверостишия	15	4
Пятистишия	52	11
Шестистишия	203	41
Семистишия	877	162
Восьмистишия	4140	715
Девятистишия	21147	3425
Десятистишия	115975	17722
Одиннадцатистишия	678570	98253
Двенадцатистишия	4213597	580317
Тринадцатистишия	27644437	3633280
Четырнадцатистишия	190899322	24011157
Пятнадцатистишия	1382958545	166888165
Шестнадцатистишия	10480142147	1216070380
Семнадцатистишия	82864869804	9264071767
Восемнадцатистишия	682076806159	73600798037
Девятнадцатитишия	5832742205057	608476008122
Двадцатистишия	51724158235372	5224266196935

Источник:

Дальше перечисляются схемы рифмовки строф от одностиший до девятистиший. Здесь одинаковые буквы обозначают одинаково звучащие рифмы на концах строк, а разные буквы — разные рифмы. Например: aabccb — в строфе рифмуются первая и вторая, третья и шестая, четвертая и пятая строки. Неповторяющиеся буквы обозначают нерифмованные строки белого стиха.

Все возможные десятистишия перечислены на отдельной странице. Кроме того, отдельную страницу занимают исторически известные и новые модели строф.

От одностиший к пятистишиям

Одностишия и многостишия.

Одностишия	Двустишия	Трехстишия	Четверостишия	Пятистишия
Всего 1, полных 0	Всего 2, полных 1	Всего 5, полных 1	Всего 15, полных 4	Всего 52, полных 11
a	aa ab	aaa aab aba abb abc	aaaa aaab aaba aabb aabc abaa abab abac abba abbb abbc abca abcb abcc abcd	aaaaa aaaab aaaba aaabb aaabc aabaa aabab aabac aabba aabbb aabbc aabca aabcb aabcc aabcd abaaa abaab abaac ababa ababb ababc abaca abacb abacc abacd abbaa abbab abbac abbba abbbb abbbc abbca abbcb abbcc abbcd abcaa abcab abcac abcad abcba abcbb abcbc abcbd abcca abccb abccc abccd abcda abcdb abcdc abcdd abcde

От шестистиший к девятистишиям

Источник: Justin Z. Smith. Rhyme Scheme Enumeration. — Statisticool.com

Шестистишия	Семистишия	Восьмистишия	Девятистишия
Всего 203, полных 41	Всего 877, полных 162	Всего 4140, полных 715	Всего 21147, полных 3425
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