calculating score of layout with minor tweaks

[spamwax]

I was just wondering how I can run your code to calculate the score of default layout with 1 or 2 keys moved and/or swapped.

Given the higher frequency of letter G compared to J/K, and bigrams such as gh and ing, I wanted to know why it got assigned to current position (lower row of left pinky!!!). What if we swap G and Y, or G and J, or G and K? what would be the score compared to the original layout?

[binarybottle]

The following is from the jupyter notebook under "Test 5" and is used to score layout variants/tweaks:

https://github.com/binarybottle/engram/blob/master/engram_layout_v2.0.ipynb

layouts_26letters = [ ['B','Y','O','U','C','I','E','A','G','X','J','K','L','D','W','V','H','T','S','N','R','M','F','P', '-','-','-', '-','-','-', 'Z','Q'], ['B','Y','O','U','C','I','E','A','G','X','J','K','L','D','W','V','H','T','S','N','R','M','F','P', '-','-','-', '-','-','-', 'Q','Z'], ['V','W','D','L','N','S','T','H','P','F','M','R','U','O','Y','B','A','E','I','C','K','J','X','G', '-','-','-', '-','-','-', 'Z','Q'], ['V','W','D','L','N','S','T','H','P','F','M','R','U','O','Y','B','A','E','I','C','K','J','X','G', '-','-','-', '-','-','-', 'Q','Z']] data_matrix = Factors32x32 scores_26letters = [] for layout_26letters in layouts_26letters: scores_26letters.append(score_layout(data_matrix, layout_26letters, bigrams, bigram_frequencies, verbose=False))

scores_26letters_sorted, ranks_26letters_sorted, Isort_26letters = rank_within_epsilon(scores_26letters, factor32, factor=True, verbose=False) print('\n Rank Score') for i, rank in enumerate(ranks_26letters_sorted): layout_string = layouts_26letters[Isort_26letters[i]] layout = ' '.join(layout_string) print(' {0}: {1} {2}'.format(rank, layout, scores_26letters_sorted[i]))

print('') print_layout24(layouts_26letters[0])

Rank Score 1: B Y O U C I E A G X J K L D W V H T S N R M F P - - - - - - Z Q 0.621987268013091 1: B Y O U C I E A G X J K L D W V H T S N R M F P - - - - - - Q Z 0.6219870422703005 1: V W D L N S T H P F M R U O Y B A E I C K J X G - - - - - - Q Z 0.6219847143830128 1: V W D L N S T H P F M R U O Y B A E I C K J X G - - - - - - Z Q 0.6219774708803041

[binarybottle]

Or better still, run the comparison jupyter notebook, and at the bottom, tweak to your heart's content!:

https://github.com/binarybottle/engram/blob/master/compare_layouts.ipynb

# Workspace for manual comparisons
layouts_26letters = [
    ['B','Y','O','U','C','I','E','A','G','X','J','K','L','D','W','V','H','T','S','N','R','M','F','P', "'",',','-', '"','.','?', 'Z','Q'],
    ['W','Y','O','U','C','I','E','A','G','P','J','K', 'V','L','D','X','H','T','S','N','R','M','F','B', "'",',','-', '"','.','?', 'Z','Q']]

data_matrix = Factors32x32
scores_26letters = []
for layout_26letters in layouts_26letters:
    scores_26letters.append(score_layout(data_matrix, layout_26letters, bigrams, bigram_frequencies, verbose=False))

scores_26letters_sorted, ranks_26letters_sorted, Isort_26letters = rank_within_epsilon(scores_26letters, 
                                                                        factor32, factor=True, verbose=False)
print('\n    Rank                                                                   Score')
for i, rank in enumerate(ranks_26letters_sorted):
    layout_string = layouts_26letters[Isort_26letters[i]]
    layout = ' '.join(layout_string)
    print('    {0}:  {1}    {2}'.format(rank, layout, scores_26letters_sorted[i]))

[spamwax]

Thanks 🙏

[sunaku]

This is an excellent question:

Given the higher frequency of letter G compared to J/K, and bigrams such as gh and ing, I wanted to know why it got assigned to current position (lower row of left pinky!!!).

I think the answer is inward rolls! :sparkles: Since G is more frequent than J/K, its placement on the pinky finger allows it to engage with the vowel cluster for inward rolls: git, get, gat, got, gut. Consequently, if we were to swap G with J or K as you suggested*, that may result in suboptimal G + vowel bigrams for most vowels compared to the infrequent J and K letters taking G's place:

• Swapping G with J:

  • get and got would have same-finger bigrams
  • git would contain an outward roll (G -> I)

• Swapping G with K:

  • gut and gat would have same-finger bigrams
  • git, get, got would contain outward rolls

*Great idea by the way! :star_struck: I was consumed by this possibility until I realized the significance of placing G on the pinky finger.

[binarybottle]

That's exactly right!

---

From: Suraj N. Kurapati @.> Sent: Friday, October 6, 2023 11:55:29 PM To: binarybottle/engram @.> Cc: Arno Klein @.>; Comment @.> Subject: Re: [binarybottle/engram] calculating score of layout with minor tweaks (Issue #69)

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This is an excellent question:

Given the higher frequency of letter G compared to J/K, and bigrams such as gh and ing, I wanted to know why it got assigned to current position (lower row of left pinky!!!).

I think the answer is inward rolls! ✨ Since G is more frequent than J/K, its placement on the pinky finger allows it to engage with the vowel cluster for inward rolls: git, get, gat, got, gut. Consequently, if we were to swap G with J or K as you suggested*, that may result in suboptimal G + vowel bigrams for most vowels compared to the infrequent J and K letters taking G's place:

• get and got would be same-finger bigrams
• git would contain an outward roll for G -> I

*Great idea by the way! 🤩 I was consumed by this possibility until I realized the significance of placing G on the pinky finger.

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