The notations /ʌɪ/ and /ɑɪ/ represent a contrastive phonemic difference
that some native speakers of English produce and perceive between
certain minimal pairs.
For those speakers, the following are minimal
pairs differing only in that the first word has the /ʌɪ/ phoneme
but the second word has the /ɑɪ/ phoneme:
- writer–rider
- hire–higher
- shire–shyer
- lyre–liar
- bier–buyer
- idle–idol
- ˈhigh school–high ˈschool
Because those are minimal pairs for those speakers, that proves that for
them, /ʌɪ/ versus /ɑɪ/ is a phonemic distinction not merely a phonetic one,
because changing the sound changes the word in their minds.
This is the phenomenon that has generally come to be known as Canadian
raising but it is by no
means strictly Canadian. Most native speakers throughout North America
make this phonemic distinction, as do some from Northern Ireland.
For such speakers, the raised diphthong /ʌɪ/ occurs in such words as
tight, dice, mice, ice, bison, writer, spider, tiger, kind, hire, fire,
tire, dire, mire, lyre, bier, sire, shire, choir, pliers, Ireland, inquire,
entire, expire, idle, ˈhigh school. However, not all such speakers
necessarily have the raised variant in all those terms just listed.
Similarly, for those speakers with this phonemic contrast, the unraised
diphthong /ɑɪ/ is (often) found in such words as dyed, dyes, dyer, ire,
ion, dine, pine, bind, buys, prize, surmise, rider, scythe, horizon,
higher, sigher, shyer, buyer, liar, denier, Oscar Mayer, idol, high
ˈschool.
However, if you are referring to allophonic phonetic renditions for the
same pair of phonemes, then this requires narrow phonetic transcriptions with
complex notation that only specialists are apt to understand.
If so, then the /ʌɪ/ phoneme of
ice can variously
— depending on the speaker, region, and utterance — be any of
[ʌɪ], [ʌ̈ɪ], [äɪ], [ɑ̟i], [äɛ̝̈], [ɐi], [ɐɪ], [ə̠i], [ɛ̈i].
Here are the technical decoded details of what each of those phonetic
allophones of the /ʌɪ/ phoneme means:
[ʌɪ]:
ʌ open-mid back unrounded vowel U+028C LATIN SMALL LETTER TURNED V
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ʌ̈ɪ]:
ʌ̈ open-mid back unrounded vowel U+028C LATIN SMALL LETTER TURNED V
centralized U+0308 COMBINING DIAERESIS
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[äɪ]:
ä open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ɑ̟i]:
ɑ̟ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
advanced U+031F COMBINING PLUS SIGN BELOW
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[äɛ̝̈]:
ä open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
ɛ̝̈ open-mid front unrounded vowel U+025B LATIN SMALL LETTER OPEN E
raised U+031D COMBINING UP TACK BELOW
centralized U+0308 COMBINING DIAERESIS
[ɐi]:
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[ɐɪ]:
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ə̠i]:
ə̠ mid-central vowel U+0259 LATIN SMALL LETTER SCHWA
retracted U+0320 COMBINING MINUS SIGN BELOW
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[ɛ̈i]:
ɛ̈ open-mid front unrounded vowel U+025B LATIN SMALL LETTER OPEN E
centralized U+0308 COMBINING DIAERESIS
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
Compare that set with phonetic realizations of the /ɑɪ/ phoneme of
nine, which can
be any of [ɑɪ], [ɑˑɪ], [äɪ], [ɑ̈ˑɪ], [ɑ̈ˑɪ̠], [ɑ̟ˑɪ], [äˑɐ], [äˑe̞],
[äˑɛ̝̈], [äˑi], [äˑɪ], [ɐˑiˑ], [ɐ̟ˑɪ̠], [ɐˑɪˑ], [ɐi], [ɐiˑ], [ɐɪ],
[æˑi], [ɛ̈ˑiˑ], [ɛ̈ĭɪ̠], [ɜ̟ˑiˑ], [ɔ̟ɪ], [ʌ̈ɪ], [ə̟ɪ̝].
Here are the technical decoded details of what each of those phonetic allophones of the /ɑɪ/ phoneme means:
[ɑɪ]:
ɑ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ɑˑɪ]:
ɑˑ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[äɪ]:
ä open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ɑ̈ˑɪ]:
ɑ̈ˑ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ɑ̈ˑɪ̠]:
ɑ̈ˑ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ̠ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
retracted U+0320 COMBINING MINUS SIGN BELOW
[ɑ̟ˑɪ]:
ɑ̟ˑ open back unrounded vowel U+0251 LATIN SMALL LETTER ALPHA
advanced U+031F COMBINING PLUS SIGN BELOW
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[äˑɐ]:
äˑ open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
[äˑe̞]:
äˑ open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
e̞ close-mid front unrounded vowel U+0065 LATIN SMALL LETTER E
lowered U+031E COMBINING DOWN TACK BELOW
[äˑɛ̝̈]:
äˑ open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɛ̝̈ open-mid front unrounded vowel U+025B LATIN SMALL LETTER OPEN E
raised U+031D COMBINING UP TACK BELOW
centralized U+0308 COMBINING DIAERESIS
[äˑi]:
äˑ open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[äˑɪ]:
äˑ open front unrounded vowel U+0061 LATIN SMALL LETTER A
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ɐˑiˑ]:
ɐˑ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
iˑ close front unrounded vowel U+0069 LATIN SMALL LETTER I
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
[ɐ̟ˑɪ̠]:
ɐ̟ˑ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
advanced U+031F COMBINING PLUS SIGN BELOW
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪ̠ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
retracted U+0320 COMBINING MINUS SIGN BELOW
[ɐˑɪˑ]:
ɐˑ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
ɪˑ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
[ɐi]:
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[ɐiˑ]:
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
iˑ close front unrounded vowel U+0069 LATIN SMALL LETTER I
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
[ɐɪ]:
ɐ near-open central vowel U+0250 LATIN SMALL LETTER TURNED A
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[æˑi]:
æˑ near-open front unrounded vowel U+00E6 LATIN SMALL LETTER AE
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
i close front unrounded vowel U+0069 LATIN SMALL LETTER I
[ɛ̈ˑiˑ]:
ɛ̈ˑ open-mid front unrounded vowel U+025B LATIN SMALL LETTER OPEN E
centralized U+0308 COMBINING DIAERESIS
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
iˑ close front unrounded vowel U+0069 LATIN SMALL LETTER I
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
[ɛ̈ĭɪ̠]:
ɛ̈ open-mid front unrounded vowel U+025B LATIN SMALL LETTER OPEN E
centralized U+0308 COMBINING DIAERESIS
ĭ close front unrounded vowel U+0069 LATIN SMALL LETTER I
extra-short U+0306 COMBINING BREVE
ɪ̠ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
retracted U+0320 COMBINING MINUS SIGN BELOW
[ɜ̟ˑiˑ]:
ɜ̟ˑ open-mid central unrounded vowel U+025C LATIN SMALL LETTER REVERSED OPEN E
advanced U+031F COMBINING PLUS SIGN BELOW
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
iˑ close front unrounded vowel U+0069 LATIN SMALL LETTER I
half-long U+02D1 MODIFIER LETTER HALF TRIANGULAR COLON
[ɔ̟ɪ]:
ɔ̟ open-mid back rounded vowel U+0254 LATIN SMALL LETTER OPEN O
advanced U+031F COMBINING PLUS SIGN BELOW
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ʌ̈ɪ]:
ʌ̈ open-mid back unrounded vowel U+028C LATIN SMALL LETTER TURNED V
centralized U+0308 COMBINING DIAERESIS
ɪ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
[ə̟ɪ̝]:
ə̟ mid-central vowel U+0259 LATIN SMALL LETTER SCHWA
advanced U+031F COMBINING PLUS SIGN BELOW
ɪ̝ near-close near-front unrounded vowel U+026A LATIN LETTER SMALL CAPITAL I
raised U+031D COMBINING UP TACK BELOW
However, for speakers who have merges in minimal pairs like hire–higher, you
should not use different phonemes since those speakers do not make such a distinction.
Dictionaries do not try to represent narrow phonetics. They present broad phonemic
transcriptions, virtually always choosing just one of either /ʌɪ/ or /ɑɪ/, and then pretending that everyone says only that version, belying the existence of minimal pairs.