Notes & Working Papers
2026.09.27
v1.0

The Shape of Rhyme

AuthorROME THORSTENSON
FiledSEPTEMBER 2026
Reading13 min
StatusDRAFT
Six disks of packed circles, one per language, French, Spanish and Portuguese on top, German, English and Dutch below. French is mostly a few huge blue circles. Spanish and Portuguese have a core of large blue circles in a field of gray. German, English and Dutch have a tiny blue core in a field speckled orange, Dutch most of all.
Fig 0.0 The 20,000 commonest words of six languages. Each circle is a rhyme family, sized by its words. Blue: the ten biggest families. Orange: words that rhyme with nothing. Gray: the rest.

Nothing common rhymes with have. It is the 26th most common word in English. Its one true rhyme is calve, what a cow or a glacier does. The standard pronouncing dictionary leaves it out. Halve doesn't count. It sounds just like have, start to finish. Poets call that an identity rhyme and don't count it.

Month has no rhyme either. Nor do film, golf and depth. Nor, famously, do orange and silver.

To rhyme, two words must sound the same from the last stressed vowel to the end. Day and way rhyme. So do sing and ring. Words that share a rhyme form a rhyme family: day, way, say and play are one family. Fig. 1 lists the 25 commonest words that end on a stress and have no rhyme.1 The second column spells each word's rhyme in CMUdict's sound code: ae is the vowel of cat, ah the vowel of sun, th the sound at the end of bath. Each bar shows how close the word comes to a near-rhyme.

To measure "close," line up two rhymes sound by sound and charge for each difference. The more alike two sounds are, the less a swap costs. Month and once swap th for s, two hissing sounds: 0.12. Film and kiln swap m, made with the lips, for n, made with the tongue: 0.36.2 Adding a whole extra consonant costs more, 0.6. A perfect rhyme costs nothing.3 I chose these prices by hand rather than fitting them to data, so the order of the bars means more than their lengths.

rank word rhyme key distance to the nearest near-rhyme (0 = perfect rhyme) CMUdict-only rescue 0.0 0.2 0.4 0.6 26 have ae v as 0.24 amirav, nav 637 month ah n th once 0.12 677 film ih l m kiln 0.36 sovexportfilm 833 else eh l s sense 0.08 908 golf aa l f scarf 0.20 ahlf, ralf +2 1,478 funds ah n d z worlds 0.38 bunds 2,499 depth eh p th steps 0.12 3,060 width ih d th its 0.37 3,375 babe ey b tape 0.25 abe, cabe +10 3,843 pulse ah l s once 0.08 dulce, hulce +1 4,856 gulf ah l f month 0.20 nulph, ulf 5,073 wolf uh l f pulls 0.49 steppenwolf 5,624 valve ae l v gals 0.24 6,219 sixth ih k s th conflicts 0.52 6,320 alt aa l t want 0.08 anawalt, faribault +2 6,388 whilst ay l s t christ 0.60 7,519 amongst ah ng s t dunst 0.32 8,299 revenge eh n jh bench 0.25 benge, klenge +3 8,822 rouge uw zh news 0.12 bruges 10,223 bulb ah l b pulp 0.25 10,942 walsh ao l sh false 0.12 10,943 ninth ay n th lines 0.37 11,029 prestige iy zh these 0.12 11,091 beige ey zh days 0.12 11,625 wont ow n t volt 0.08 bonet the folklore trio: two-syllable rhymes, also none in the lexicon 1,087 silver ih l v er silva 0.20 only quicksilver (compound) 2,164 orange ao r ah n jh morals 0.36 4,374 purple er p ah l herbal 0.25 104 of 10,026 common words with a one-syllable rhyme have no perfect partner rank: position among the commonest words on the web · distance: the sound-by-sound cost defined in the text
Fig. 1 The 25 commonest English words with a one-syllable rhyme and no partner, by rank on the web. Each bar is the cost, defined in the text, of reaching the nearest near-rhyme, labeled with that word. On the right: names and rare words, found only in the pronouncing dictionary, that would rhyme.

Else nearly rhymes with sense. Whilst has to stretch all the way to Christ.

§ 01 Stress

The rhyme starts at the stress

In silver, the weight falls on SIL. That is the stress.

A rhyme starts at the last stressed vowel and runs to the end of the word. Day rhymes on -ay. Silver rhymes on -ilver. Family rhymes on -amily.

Every sound in that stretch must match. Each extra sound is one more chance to find no partner. English adds sounds in two ways. It puts syllables after the stress, and it piles consonants at the end.

The syllables matter most. Fig. 2 sorts English words into three shapes: words that end on the stress, words with one weak syllable after it, and words with two or more. Each grid stands for all the words with that shape, and each orange square is one percent of them with no rhyme.

words with no rhyme, by what follows the stress each grid = 100% of the dictionary words with that shape · orange square = 1% with no rhyme ends on the stress day · a-BOUT · be-LIEVE 1.3% have no rhyme · 18,562 words one weak syllable after SIL-ver · OR-ange · WA-ter 20% have no rhyme · 23,886 words two or more after FAM-i-ly · TEN-der-ly · MED-i-cine 64% have no rhyme · 8,343 words
Fig. 2 English dictionary words grouped by what follows the last stress. Filled dot: the stressed syllable. Hollow dots: weak syllables after it. Each grid is 100 squares; orange squares are the share of those words with no rhyme.

Words that end on the stress almost always rhyme: one square in a hundred is orange. With one weak syllable after the stress, a fifth of the grid turns orange. With two or more, nearly two-thirds does.

English likes to stress early. Two in three two-syllable words are stressed on the first syllable, like silver and orange. That drags a whole extra syllable into the rhyme.

A thought experiment shows where the trouble lies. Suppose every rhyme started at the last vowel, stressed or not. No poet would accept that rule, since it lets orange rhyme with challenge. Under it, silver rhymes with more than a thousand common words, never and over among them. Month rhymes with seventh. The share of English words with no rhyme falls from 24% to 1%.4 The trouble is the unstressed stretch after the stress.

Film and depth still have nothing, even under that rule. Their trouble is the consonants at the end. Fig. 3 sorts English words with one-syllable rhymes by how many consonants follow the vowel. Each grid stands for all the words with that many, and each orange square is one percent of them with no rhyme.

one-syllable words with no rhyme, by the consonants after the vowel each grid = 100% of the words with that many final consonants · orange square = 1% with no rhyme one or none after the vowel day · cat · have 0.2% of 10,611 words two after the vowel help · world · month 1.5% of 7,275 words three after the vowel next · text · sixth 7.6% of 1,271 words four after the vowel texts · strengths 47% of 15 words
Fig. 3 English dictionary words with a one-syllable rhyme, grouped by the consonants after the vowel. Filled dot: the vowel. Squares: the consonants after it. Each grid is 100 squares; orange squares are the share of those words with no rhyme.

With one final consonant or none, almost every word rhymes. Each added consonant turns more of the grid orange. With four, nearly half the words have no rhyme, though English has only fifteen such words, like texts and strengths. Month is alone with its ending: the vowel of sun, then n, then th.

This also explains a puzzle. Common words rhyme more often than rare ones. Only 12% of the top thousand words have no rhyme. Among rare words, about a quarter don't. One might hypothesize that the more a word is used, the more partners it collects, but it doesn't. Fig. 4 splits the words by how long their rhyme is: one syllable like day, two like silver, three or more like family.

0% 20% 40% 60% 80% share of words with no perfect rhyme no perfect rhyme (% of band's words) 1-syllable rhyme (masculine) 0.5–1.8% in every band 2-syllable (feminine) 17.8–25.3% in every band 3+ syllables (dactylic) 61.8–72.2% in every band 12% 23% 25% all words: falls toward the common end, because the mix below shifts top 1K n=947 1K–3K n=1,765 3K–10K n=5,567 10K–30K n=12,469 30K–100K n=19,397 100K–333K n=9,329 not listed n=2,411 words grouped by web-frequency rank, most common at left % of band rhyme-length mix in each band (each column = 100% of the band's words) 62% 48% 41% 37% 34% 34% 39% 1 syllable 2 syllables 3+ masculine share
Fig. 4 Share of English words with no rhyme, from the commonest words on the left to the rarest on the right. Blue is all words. Dark lines split them by rhyme length: one syllable, two, three or more (poets' old names: masculine, feminine, dactylic). Below, how the lengths mix in each group.

The dark lines are nearly flat. At any one rhyme length, common and rare words rhyme about equally well. Common words are just shorter. Most of them end on a stress.

§ 02 Languages

Roots and endings

If the syllables after the stress are what leave words without rhymes, languages that stress differently should rhyme differently. They do. Fig. 5 runs the same count on the 20,000 commonest words of six languages, as counted in film and TV subtitles.5

share of the 20,000 commonest words with no perfect rhyme large dot: all words · rings: words whose rhyme is 1, 2 or 3+ syllables long, ring area ∝ that group's share of the language's words distinct rhymes median rhyme partners per word French * 56% end in a vowel 1.4% 1 503 477 Spanish 57% end in a vowel 7% 1 2 3+ 2,562 49 Portuguese (BR) 61% end in a vowel 8.2% 1 2 3+ 2,659 64 German 27% end in a vowel 22.5% 1 2 3+ 7,546 6 English 24% end in a vowel 23.7% 1 2 3+ 8,096 5 Dutch 35% end in a vowel 43.3% 1 2 3+ 10,243 2 0% 25% 50% 75% 100% share with no perfect rhyme → rhyme = sounds from the last stressed vowel on; partner = same rhyme, different onset, within the same 20,000 words * French has no word stress: its rhyme runs from the last vowel, so every French rhyme is one syllable pronunciations: ipa-dict · frequencies: OpenSubtitles 2018 (FrequencyWords)
Fig. 5 Share of each language's 20,000 commonest words with no rhyme among them. The large dot is all words. The rings split them by rhyme length, 1, 2 or 3+ syllables: a ring's position is the share of that group with no rhyme, and its size is how many words are in the group. *French has no word stress of the English kind, so every French rhyme is one syllable.

English sits with German and Dutch. About a quarter of English and German words have no rhyme. Dutch leaves even more alone. In Spanish and Portuguese, fewer than one in ten are alone.

French barely registers. It doesn't stress words the way English does. Its accent falls at the end, so every French rhyme is one syllable long. French words are 1.4% alone. English words that end on a stress are 1.3% alone.

Spanish rhymes are often two syllables long. Yet only 6% of those Spanish words lack a partner. In English, 34% do. Part of the reason is sound. English words end in many more different ways than Spanish words do. Spread across more endings, the same 20,000 words leave fewer for each.6 The bigger reason is what the stress lands on. In Spanish ha-BLAR, "to speak," the stress falls on ‑ar, an ending hundreds of verbs share. In English SIL-ver, it falls on silv-, a piece that belongs to that word alone. Fig. 6 lines up each language's words in rhyme families, biggest first.7

each language's 20,000 commonest words, grouped into rhyme families, largest first block = one family (words sharing every sound from the last stressed vowel on), width ∝ its words; blue = the 10 largest · gray = the rest (families narrower than 1.5 px merged by size) · orange = words alone French * /e/ 4333: et, les /ɔ̃/ 1329: on, non top 10 families: 58% of words alone: 1% 499 families Spanish /aɾ/ 728: estar, hablar /aðo/ 699: estado, demasiado top 10 families: 22% of words alone: 6% 2,562 families Portuguese (BR) /ax/ 1211: ficar, falar /ãʊ̃/ 956: não, então top 10 families: 32% of words alone: 7% 2,659 families German pairs /iːɐ̯t/ 162: passiert, funktioniert /oːn/ 152: schon, sohn top 10 families: 6% of words alone: 22% 6,697 families English pairs /i/ 204: we, me /oʊ/ 173: no, know top 10 families: 7% of words alone: 24% 7,260 families Dutch /eːrə/ 326: proberen, leren /aːtsiː/ 147: informatie, relatie top 10 families: 6% of words alone: 43% 10,201 families 0 5,000 10,000 15,000 20,000 words, cumulative, largest family first → rhyme keys in IPA; each word counted once, in the family of its first listed pronunciation * French: from the last vowel on (no word stress) · ipa-dict pronunciations · OpenSubtitles 2018 frequencies
Fig. 6 Each language's 20,000 commonest words, grouped into rhyme families, biggest first. Block width is the number of words. Blue: the ten biggest families. Gray: the rest. Orange: words that rhyme with nothing. Family labels use the International Phonetic Alphabet, a standard way to write sounds: /aɾ/ is the -ar of hablar.

The difference is plain in the blue. Spanish and Portuguese start with wide blocks. English starts with slivers.

The widest Spanish block is ‑ar. It holds 728 words, and at least four in five are verbs in their infinitive form.8 Every such verb rhymes with every other. Grammar supplies the rhymes.

English stresses the root of a word: SIL-ver, OR-ange. Unrelated words rarely share a stressed root, so silver and orange each stand alone.

English has endings that repeat too, the ones grammar adds: walking, faster. ‑ing and ‑er each cover more than a thousand common words. But English doesn't stress them, so they never start a rhyme. German and Dutch work the same way. Their endings, like ‑en, are unstressed too.

§ 03 Poets

What poets do

English rhymes are rare. They are also lopsided. Most rhyme families (65%) hold a single word, so they aren't very useful. The hundred biggest hold a quarter of all words. Fig. 7 shows the curve, and where three poets draw their rhymes from it.9 The top panel runs from a few huge families to a long tail of tiny ones. Both of its axes are on a log scale. Alexander Pope translated Homer's Iliad in the early 1700s in couplets. Shakespeare's Sonnets are 154 short poems; the 152 with the usual fourteen lines are counted here. Lord Byron's Don Juan is a long comic poem, written 1819–1824, in eight-line stanzas.

a rhyme families by size, largest first 16,105 families over 51,885 dictionary words · log–log 10,518 families of one word 65% of all families 1 10 100 771 771 -ation information, education 529 -ate date, state 358 -ize size, advertise 343 -ee be, we top 100 families hold 24% of words (12,239 of 51,885) 1 10 100 1,000 10,000 family rank (1 = largest), log → ↑ words per family, log b where the poets rhyme: tokens per family, same rank axis one spike per family used · y: that poet's share of rhyme words in the family, √ scale Pope, Iliad 5,729 couplets · 11,199 rhyme words 0 5.9% 66% of rhyme words from the top 100 tallest: plain/slain/vain (583) Shakespeare, Sonnets 152 sonnets · 2,045 rhyme words 0 5.9% 57% of rhyme words from the top 100 tallest: thee/me/be (120) Byron, Don Juan 1,975 stanzas · 14,544 rhyme words 0 5.9% 47% of rhyme words from the top 100 tallest: way/day/say (347) 1 10 100 1,000 10,000 family rank (1 = largest), log dictionary: top 100 hold 24% of words
Fig. 7 (a) English rhyme families by size, biggest first. (b) The families each poet rhymes on, on the same axis: one spike per family used. Spike heights are squashed (square root) so that small ones stay visible.

The poets live in those hundred families. Pope takes two-thirds of his rhymes from them. Shakespeare takes more than half. Byron, the loosest, takes a little under half. Even he takes twice the dictionary's share.

Pope's rhymes are narrow next to the rest of his language. Fig. 8 counts the rhyme families a poet uses. It compares the words at the ends of his lines with the words inside them.

a distinct rhyme families found, as rhyme words are read solid: line-end words · dashed: the same poet's mid-line content words · mean of 40 random orders 0 500 1,000 1,500 2,000 2,500 3,000 50 100 1,000 10,000 words read, log scale from 50 → ↑ distinct rhyme families found 2,594 Byron, mid-line 1,745 Pope, mid-line 1,573 Byron 662 Shakespeare, mid-line 341 Shakespeare 268 Pope b families per 2,045 words, every poet on the same footing filled: line-end words · hollow: mid-line content words · 200 random samples Pope, Iliad 186 799 23% of mid-line Shakespeare, Sonnets 341 664 51% of mid-line Byron, Don Juan 624 854 73% of mid-line 0 250 500 750 1,000 rhyme families per 2,045 words → c the families each poet leans on most (rhyme words) Pope, Iliad plain/slain/vain 583 · day/way/away 470 · skies/eyes/flies 462 Shakespeare, Sonnets thee/me/be 120 · sight/night/might 77 · away/day/decay 66 Byron, Don Juan through/new/two 347 · way/day/say 347 · be/he/sea 294
Fig. 8 Rhyme families found as a poet's words are read. Solid lines: words at the ends of lines. Dashed lines: the same poet's words inside lines. (a) Whole poems, averaged over 40 random shuffles of the words. (b) All three poets at the same length, 2,045 words, averaged over 200 random samples. (c) Each poet's three favorite families.

No rhymed poem can use as many families as its other words do, since every family it uses must appear at least twice, so the order of the poets matters more than the absolute numbers. Over the whole Iliad, Pope's line ends use 268 rhyme families. The words inside his lines reach 1,745. That comparison is unfair to a short poem, so panel (b) puts all three poets at the same length, 2,045 words. There, Pope's rhymes reach a quarter as many families as his other words. Shakespeare's reach half, and Byron's nearly three quarters.

The other way out is to bend the rule. Two more poets join the comparison here, both published in the 1890s. A. E. Housman, an Englishman, wrote plain, regular ballads in A Shropshire Lad, rhymed cleanly. Emily Dickinson, an American, bent rhyme on purpose and often. Fig. 9 uses the same sound-by-sound cost to measure how far each poet's rhyme pairs stray from perfect.10 One caution first: it judges every poet by modern American speech. That is wrong for the older poets, and for Housman, who was English; his been and queen rhyme in his own accent.

a how far imperfect rhymes stray, by poet one bar per 0.25 of slant distance · bar height = share of ALL that poet's rhyme pairs · shared scale Shakespeare Sonnets · 1609 993 pairs 19% imperfect Pope Iliad · 1720 5,471 pairs 13% imperfect Byron Don Juan · 1824 8,465 pairs 22% imperfect Dickinson Poems (1890-96 eds.) · 1890 878 pairs 47% imperfect Housman A Shropshire Lad · 1896 266 pairs 5% imperfect tongue / wrong ×3 love / prove ×9 care / war ×23 given / heaven ×26 juan / one ×7 lover / over ×7 eyes / paradise ×3 given / heaven ×3 been / queen come / home ×3 0 1 2 3 4 5 6 7 how far the pair is from a perfect rhyme → (sound-by-sound cost; perfect rhymes = 0, not drawn) 5% of pairs spelled alike, sound differs today (eye rhyme or sound change: love/prove, war/car) other slant (Dickinson's in blue) b what kind of slant: share of all rhyme pairs circle area ∝ share · each pair counted once, in the first column that fits spelled alike love / prove vowel differs sky / me consonant differs time / mine both differ star / door unstressed end rhymes thee / antiquity other stress mismatch it / spirit Shakespeare 11.6% 4.0% 0.3% 1.1% 0.6% 1.4% Pope 5.3% 6.4% 0.4% 0.5% 0.1% 0.4% Byron 10.3% 4.1% 0.8% 1.5% 1.6% 3.1% Dickinson 7.9% 22.9% 1.4% 5.4% 3.1% 6.3% Housman 3.8% 1.5% – – – – rows: poets in date order · columns: slant type (CMUdict modern US pronunciation)
Fig. 9 Rhyme pairs from five poets, judged by modern American pronunciation. (a) How far each poet's imperfect pairs stray, with perfect rhymes left out. Orange: pairs spelled alike but said differently today, like love and prove. (b) What kind of slant each pair is.

The orange bars are pairs spelled alike but said differently today, like love and prove. Some were eye rhymes from the start. Others rhymed once, before English evolved, but our data can't tell which.

Housman, in 1896, strays in 5% of his pairs. Dickinson, published in the same decade, strays in 47%. Often she keeps the consonants and lets the vowel go. Her editors smoothed some of these out, so the true share is likely higher.

Spanish grammar hands its poets hundreds of verbs that rhyme on -ar. English gave Pope plain, slain and vain. He went back to them 583 times.

None of this makes English a worse language for poetry. Scarcity sets the terms, and each poet answers it differently. Pope returns to the same few chimes, Dickinson lets the vowels drift, and Byron turns the rare long rhyme into a joke, pairing ladies intellectual with hen-peck'd you all.

Notes

  1. N · 01

    Pronunciations are from CMUdict, modern US English, restricted to the 51,885 entries that are ordinary words (a lowercase WordNet lemma or a Webster's 2nd entry); rank is position in Norvig's Google web unigram counts, and candidates are lemmas in the top 40,000. Identity rhymes (have/halve) and compounds (quicksilver) don't count as partners. Orange, silver and purple have no partner either; Webster's 2nd lists sporange, chilver and hirple, which CMUdict lacks. In all, 104 of 10,026 common words with a one-syllable rhyme have no perfect partner. Two partner labels were replaced by the next word. Three entries are artifacts of the dictionary: walsh is mostly a surname, wont is alone only because don't is filtered as a contraction, and alt because CMUdict gives halt a different vowel.

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  2. N · 02

    To hear and feel where in the mouth sounds are made, play with Pink Trombone, Neil Thapen's interactive model of the human vocal tract.

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  3. N · 03

    The full price list. A consonant swap costs up to about 1, by how far apart the two sounds are made in the mouth (lips, teeth, the ridge behind the teeth, the back of the mouth), how they are made (a stop like t, a hiss like s, a hum like n), and whether the voice buzzes (v buzzes, f doesn't; a buzz difference adds 0.25). So else/sense (l for n) costs 0.08, have/as (v for z) 0.24, ninth/lines (th for a buzzing z) 0.37. Vowels are priced by where the tongue sits, and the stressed vowel counts half again as much. Adding or dropping a consonant costs 0.6, a syllable 1.5.

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  4. N · 04

    English falls from 23.7% to 1.2%, Dutch from 43% to 0.6%, German from 22.5% to 1.6%, Portuguese from 8.2% to 0.1%, Spanish from 7.0% to 0.1%. Silver gains 1,068 partners among the 20,000 commonest words. Same 20,000 words per language and same partner rule as Fig. 5, with the rhyme taken from the last vowel instead of the last stressed vowel. This is a diagnostic, not a model of moving stress: pronunciations, reduced vowels included, stay fixed, and only the place where matching starts moves. Taking the last vowel alone, dropping the consonants after it, leaves under 0.05% of words in any language without a partner.

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  5. N · 05

    Pronunciations from ipa-dict, frequencies from OpenSubtitles 2018, so the vocabularies lean toward film and TV dialogue. Spanish stress is filled in from spelling where ipa-dict leaves it unmarked; Spanish spelling marks stress without exception. Dutch marks no secondary stress, which lengthens the rhymes of its compounds. Italian is absent because no open dictionary with stress marks was available. On the same 20,000 English words, the CMUdict machinery gives 24.3% rhymeless against ipa-dict's 23.7%.

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  6. N · 06

    Counted from the last vowel, English has 1,032 distinct rhymes among its 20,000 commonest words and Spanish has 57; English's -ing family holds 1,196 words and -er 1,105.

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  7. N · 07

    "Alone" is close to, but not the same as, rhymeless: each word is counted once, under its first listed pronunciation, and identity rhymes count as family members. Families narrower than 1.5 px are merged by size. The top 10 families hold 22% of Spanish and 32% of Portuguese words, against 7% of English.

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  8. N · 08

    A word in the family counts as a verb form if another form of its stem (-ado, -ando, -amos, -aba and so on) is also among the 20,000 words: 575 of 729 Spanish -ar words (the rest are words like lugar, place, and militar), 548 of 698 -ado words, and 881 of 1,206 Portuguese -ar words. The test misses rare verbs whose other forms aren't common (competir), so the shares are lower bounds.

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  9. N · 09

    Texts from Project Gutenberg: Pope's Iliad (5,729 couplets, 11,199 rhyme words), Shakespeare's Sonnets (152, excluding 99 and 126, which are not 14 lines; 2,045 rhyme words), Byron's Don Juan (1,975 stanzas, 14,544 rhyme words). Pope takes 66% of his rhyme words from the top 100 families, Shakespeare 57%, Byron 47%, against 24% of the dictionary. Each line end counts once; words missing from CMUdict are dropped. Mid-line words are every word of a line except the last, with NLTK English stopwords removed.

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  10. N · 10

    Dickinson: Poems, 1890–96 Todd and Higginson editions, 878 pairs from lines 2 and 4 of 1,029 four-line stanzas. Housman: A Shropshire Lad, 1896, 266 pairs. In 23% of Dickinson's pairs only the vowel differs, counting pairs not already spelled alike, against 1.5–6.4% for the others. Shakespeare 19% imperfect (993 pairs), Pope 13% (5,471), Byron 22% (8,465). Pairs with a word missing from CMUdict were dropped: 71 / 258 / 1,410 / 151 / 19. Distances run higher than in Fig. 1, whose bars measure one word to its nearest family, because these pairs can differ in several sounds and in length.

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