Linking: where two words join without a seam

Say far out slowly and you hear two words. Say it at speed and the /r/ slides across: fa-rout. Nothing was added. The boundary stopped existing.

Linking has a mechanical cause. Speech is a continuous stream of articulation, and the tongue does not return to a neutral position between words. When one word ends in a vowel and the next begins with one, the tongue has to travel from the first vowel position to the second, and that travel is audible as a glide — a /j/, a /w/ or an /r/ that is written nowhere.

Which glide appears is decided by where the first vowel ends. A vowel that finishes high and front (i, ɪ, eɪ, aɪ) hands over through /j/. A vowel that finishes high and back (u, ʊ, oʊ, aʊ) hands over through /w/. A vowel that finishes mid-central (ɑ, ɔ) often picks up an /r/ in British English.

Consonant to vowel needs no glide at all: the consonant simply attaches to the following vowel, which is why an apple sounds like a-napple.

Vowel into vowel — a glide appears

The dip is smallest here, and these are the examples where you can hear the inserted glide most clearly. The glide is inferred from the vowel the first word ends on, not detected.

60 sentences · 981 measured words · 921 word boundaries, of which 40 are vowel-into-vowel. Below are 10, chosen where the join is cleanest. The rest are the same phenomenon, less clearly recorded.

The shaded band is the measurement window (the join ±60 ms); the thin line is where the aligner put the boundary. The aligner's boundary is an estimate from character timings, not something detected in the audio — read the band, not the line.

ˈoʊ‿w‿ˈɪdip -2.4 dB
he would go in and see …
sentence median 12.6 dB
ˈu‿w‿ˈɪdip -1.8 dB
… he could do it up here
sentence median 21.0 dB
ɚ‿r‿ˈɪdip 0.6 dB
… would look for it at once
sentence median 15.5 dB
i‿j‿ədip 1.4 dB
… he was keenly alive to the …
sentence median 18.6 dB
ˈi‿j‿ˈædip 1.6 dB
she asked minnie for …
sentence median 16.8 dB
i‿j‿ədip 2.5 dB
… at the insistency of this thing
sentence median 17.4 dB
ɚ‿r‿ˈædip 2.9 dB
… and wished over and over that …
sentence median 18.6 dB
ˈi‿j‿ˈɔdip 3.4 dB
he also thought of …
sentence median 10.1 dB
ə‿r‿ˈɪdip 3.7 dB
… and sang to it until hanson …
sentence median 15.1 dB
ə‿r‿ˈɪdip 4.0 dB
… loud at the insistency of this …
sentence median 17.4 dB

Consonant into vowel — they simply join

The consonant moves across to the next word. Nothing is inserted; the closure is just never released into silence.

60 sentences · 981 measured words · 921 word boundaries, of which 196 are consonant-into-vowel. Below are 10, chosen where the join is cleanest. The rest are the same phenomenon, less clearly recorded.

m‿ɚdip -0.5 dB
… would have some arrangement of this …
sentence median 22.0 dB
ɹ‿ˈaʊdip 0.7 dB
… two lots far out on the …
sentence median 15.8 dB
ɹ‿ˈʌdip 0.8 dB
… some way or other that he …
sentence median 21.0 dB
n‿ˈeɪdip 0.9 dB
… had not been able to get …
sentence median 14.1 dB
ɹ‿ˈɪdip 1.2 dB
… and yet here it was late …
sentence median 15.4 dB
n‿ɪdip 1.4 dB
it gave an imposing appearance to …
sentence median 17.1 dB
n‿ədip 1.7 dB
he was in a fevered state …
sentence median 23.1 dB
z‿ædip 1.8 dB
his ambition was some …
sentence median 7.3 dB
ɹ‿ˈædip 2.4 dB
… the presence or absence of his …
sentence median 12.2 dB
n‿ˈædip 3.0 dB
he went in and examined his …
sentence median 20.1 dB

How the join is measured

If two words are linked, the energy between them never falls to silence. So for every word boundary we take the energy envelope (5 ms windows, 2.5 ms steps), find the quietest point within ±60 ms of the boundary, and subtract it from the median energy inside the words on either side. The result is the dip in dB: how far the signal drops at the join.

A large dip means a real gap. A dip near zero — or below it — means the join is as loud as the words themselves, which is what linking sounds like. The waveform under each example is the actual envelope, so you can look at the valley instead of taking our word for it.

We do not use the gap between the aligner's word timestamps. We tried, and it fails: the aligner puts word boundaries on the frames it is confident about, and the audio keeps sounding through the frames it left unassigned. Measured on real recordings, those “gaps” were sometimes louder than the words on either side.