My tweaked hexadecimal major system

Any comments on my tweaked hexadecimal major system scheme below?

I have my 2-digit decimal major system PAO. I want to expand it to a 2-digit hexadecimal major system PAO (for cards, binary numbers, and computing stuff). I started with @Dharis 's Hexadecimal Major Sytem. His mappings are the following:

hex alphabet ipa
0 s /s/
1 t /t/
2 n /n/
3 m /m/
4 r /ɹ/
5 l /l/
6 sh,ch /ʃ/, /tʃ/
7 g /ɡ/
8 v /v/
9 p /p/
A j,g /dʒ/, /ʒ/
B b /b/
C k /k/
D d /d/
E z /z/
F f /f/

Some reactions of mine:

  • It’s hard for me to see hex-A and hex-E as consonants.
  • Splitting up (/f/, /v/) to hex-F and hex-8 is tough. 8 had already produced the fewest images of the 10 digits in the decimal major system. Splitting it up for the hex system only makes the situation worse.
  • Same goes for splitting (/s/, /z/) and (/ʃ/, /ʒ/, /tʃ/, /dʒ/). Still, not as bad as splitting up (/f/, /v/).
  • Even if one does want to split (/ʃ/, /ʒ/, /tʃ/, /dʒ/), (/ʃ/, /ʒ/) x ( /tʃ/, /dʒ/) seems more consistent to me (following the unvoiced/voiced pairing format of the rest of the system) than the original (/ʒ/,/dʒ/) x (/ʃ/ /tʃ/).
  • Could be leveraging consonants /θ/, /ð/, /h/, /ŋ/.
  • Could be leveraging semi-vowels /w/, /j/.

So here’s my tweaked scheme:

hex alphabet ipa
0 s,z /s/, /z/
1 t /t/
2 n,ng /n/,/ŋ/
3 m /m/
4 r /ɹ/
5 l /l/
6 sh,g,ch,j, /ʃ/, /ʒ/, /tʃ/, /dʒ/
7 g /ɡ/
8 th /θ/, /ð/
9 p /p/
A w /w/
B b /b/
C k /k/
D d /d/
E y /j/
F f,v /f/,/v/

Some comments:

  • I map the semi-vowels /w/ → hex-A and /j/ → hex-E. So, e.g., hex-AA could be “wow”.
  • This is a minor break of the phonetic system, since the IPA for “wow” is actually /ˈwaʊ/. So really, “wow” should encode as hex-A, not hex-AA. But whatever. I’ll just imagine “wow” pronounced as /ˈwaʊw/, the way children do sometimes.
  • Same goes for hex-EE and, e.g., “yay”.
  • I mapped (/θ/, /ð/) → hex-8 (which seemed natural to me since it’s a neighbor of (/f/,/v/) on The IPA Chart). That allowed me to map both (/f/,/v/) → hex-F.
  • No need to break up (/s/,/z/) or (/ʃ/, /ʒ/, /tʃ/, /dʒ/).
  • I snuck in (/n/,/ŋ/) → 2. I wasn’t having any problem producing images with /n/ → 2 alone. I just wanted some more coverage.
  • I believe this scheme makes transition from an existing decimal major to hexadecimal major much easier. With my tweaked scheme, one only needs to revisit their decimal major system images associated with the numbers 1,7,9, comparing with 0,1,6,7,8,9 in the original scheme, reducing workload by ~50%.
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English has 24 consonant sounds. Some consonants have voice from the voicebox and some don’t.

These consonants are voiced and voiceless pairs /p/ /b/, /t/ /d/, /k/ /g/, /f/ /v/, /s/ /z/, /θ/ /ð/, /ʃ/ /ʒ/, /ʈʃ/ /dʒ/.

These consonants are voiced /h/, /w/, /n/, /m/, /r/, /j/, /ŋ/, /l/.

That’s 8 and 8 and you got 16 for a hexadecimal system. Just trying to follow phonetics here since you want to have a major system. You’d still end up with your wow and yay issues though.

Additionally, there are virtually no words that start with /ŋ/ so you might want to keep it with /n/ and have F be words that start with a vowel maybe.

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I think /ŋ/ is manageable. I found 237 suitable words in the dictionary, provided you allow for leading vowels (e.g., “ink”, “England”).

Ok, I see what you’re proposing: an entirely new mapping of consonants to the 16 hex digits—not necessarily trying to maintain a correspondence back to the decimal standard major system digits.

Splitting up ( /ʃ/, /ʒ/, /ʈʃ/, /dʒ/) into (/ʃ/, /ʒ/) and (/ʈʃ/, /dʒ/) might be a little rough. ( /ʃ/, /ʒ/, /ʈʃ/, /dʒ/) ranked 8/10 for word availability in the decimal standard major encodings.

It could be nice to revisit all of this.

dec percent rank alphabet
0 9% 8 sh,ch,j,g
1 14% 1 t,d
2 10% 6 n
3 7% 9 m
4 11% 3 r
5 10% 7 s,z
6 10% 5 p,b
7 10% 4 l
8 7% 10 f,v
9 11% 2 k,g
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Well, “proposing” is a bit much… but you said major, which is inherently phonetic… I just wanted to point out that splitting voiced and unvoiced pairs is maybe not something you wanna do.

If I had to go 16, I’d probably just take the first 16 letters of the alphabet, and done. But since I don’t have a hex system, it’s just food for thought.

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I grepped an English IPA dictionary for word availability based on IPA phone combos. I posted my result in Counts of phonetic system words available by IPA phone.

Setting up a hex system will be trickier than I thought. There’s a lot of sparsity in word counts.