3 syllables:
evidence

4 syllables:
inevidence, in evidence, self-evidence, state's evidence

5 syllables:
cogent evidence, counter-evidence, direct evidence, hearsay evidence, rule of evidence

6 syllables:
indirect evidence

7 syllables:
circumstantial evidence

3 syllables:
aesculus, benelux, blessedness, credulous, daedalus, delegates, desmanthus, detritus, dreadfulness, edifice, elegance, elements, elephants, eloquence, eminence, emphasis, emphasise, emulous, endlessness, estimates, excellence, exodus, fecklessness, fretfulness, friendlessness, gempylus, genesis, gentleness, haemanthus, healthfulness, helpfulness, helplessness, jejuneness, membranous, mespilus, methodists, nebulous, negligence, pegasus, pendulous, penstemon deustus, pestilence, petulance, pleasantness, precedence, precedents, preciousness, precipice, prevalence, recklessness, regulus, relevance, resinous, resonance, restfulness, restlessness, sedulous, senselessness, sentiments, settlements, sexlessness, specialists, specialness, temperateness, tendinous, tenebrous, tenuous, tetanus, tremulous, vengefulness, venomous, zestfulness

4 syllables:
acceptableness, adenosis, agenesis, antecedence, beneficence, benevolence, cnicus, contentiousness, defencelessness, defenselessness, developments, digenesis, directionless, distressfulness, dysgenesis, essentialness, forgetfulness, good-temperedness, impetuousness, incessantness, incredulous, inelegance, intelligence, irrelevance, licentiousness, malevolence, momentousness, neglectfulness, oogenesis, persepolis, pink elephants, preeminence, pretentiousness, re-emphasise, relentlessness, respectfulness, successfulness, tendentiousness, unhealthfulness, unhelpfulness, unpleasantness

5 syllables:
acrocephalus, ambidextrousness, androgenesis, anencephalous, arctocephalus, autogenesis, biogenesis, blastogenesis, cacogenesis, caenogenesis, cainogenesis, cenogenesis, chirocephalus, conscientiousness, cynocephalus, cytogenesis, epigenesis, epinephelus, gynogenesis, hydrocephalus, kainogenesis, kenogenesis, leptocephalus, macrocephalous, metagenesis, microcephalous, microcephalus, monogenesis, moral excellence, myxocephalus, ontogenesis, overemphasis, palingenesis, pathogenesis, phylogenesis, pyrocephalus, sacrilegiousness, sarcocephalus, stenopelmatus, unacceptableness, unpretentiousness, xenogenesis

6 syllables:
abiogenesis, adult intelligence, agamogenesis, amelogenesis, anthropogenesis, atherogenesis, combat intelligence, current intelligence, funeral-residence, gorgonocephalus, heterocephalus, heterogenesis, magnetic resonance, nuclear resonance, parthenogenesis, platypoecilus, showing intelligence, signals intelligence, spermatogenesis, terrain intelligence, unconscientiousness, verbal intelligence

7 syllables:
borderline intelligence, nonverbal intelligence, strategic intelligence, tactical intelligence

8 syllables:
artificial intelligence, electronics intelligence, proton magnetic resonance, security intelligence, showing lack of intelligence, telemetry intelligence

9 syllables:
communications intelligence