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synchrony / smsn

Semantic Synchrony. An experiment in cognitive and sensory augmentation.
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Create Typeatron keying scheme #28

Closed joshsh closed 1 year ago

joshsh commented 11 years ago

5 keys. 17,685 chords. 127 ASCII characters and a few dozen Brain-mode commands. How will you map them? Let the madness begin.

joshsh commented 1 year ago

Done (long ago).

JeffreyBenjaminBrown commented 1 year ago

17,685 chords on 5 keys? I'm counting 31 -- 2 to the power of 5, minus the empty chord. I must not know what you mean by chord.

joshsh commented 1 year ago

Chords are order-sensitive, and you can regard key releases as independent events. From Steve Mann's book [1]: "with only 2 switches, 6 chords are possible. With 3 switches, 51 chords are possible. With 4 switches, 748 chords are possible, and with 5 switches, 17,685 chords are possible."

For example, suppose the keyer has only two keys, A and B. AB and BA are the two possible chords, in terms of key presses. If you count key releases, there are 4 chords: ABA'B', ABB'A', BAB'A', BAA'B. By 6, I think Steve meant to count AA'BB' and BB'AA' as separate chords, as well. Been a long time.

[1] Mann, S. (2001). Intelligent image processing. John Wiley & Sons, Inc..

On Tue, Jul 11, 2023 at 2:43 PM Jeffrey Benjamin Brown < @.***> wrote:

17,685 chords on 5 keys? I'm counting 31 -- 2 to the power of 5, minus the empty chord. I must not know what you mean by chord.

— Reply to this email directly, view it on GitHub https://github.com/synchrony/smsn/issues/28#issuecomment-1631550081, or unsubscribe https://github.com/notifications/unsubscribe-auth/AAAWSBHHGHTYGNZAHIRH24LXPXCH5ANCNFSM4AF473VQ . You are receiving this because you modified the open/close state.Message ID: @.***>

joshsh commented 1 year ago

Actually, AA' and BB' are the other two chords. 6 is the sum of the number of two-key chords and the 1-key chords over a set of two keys. AA'BB' would be a sequence, not a chord.

On Tue, Jul 11, 2023 at 2:52 PM Joshua Shinavier @.***> wrote:

Chords are order-sensitive, and you can regard key releases as independent events. From Steve Mann's book [1]: "with only 2 switches, 6 chords are possible. With 3 switches, 51 chords are possible. With 4 switches, 748 chords are possible, and with 5 switches, 17,685 chords are possible."

For example, suppose the keyer has only two keys, A and B. AB and BA are the two possible chords, in terms of key presses. If you count key releases, there are 4 chords: ABA'B', ABB'A', BAB'A', BAA'B. By 6, I think Steve meant to count AA'BB' and BB'AA' as separate chords, as well. Been a long time.

[1] Mann, S. (2001). Intelligent image processing. John Wiley & Sons, Inc..

On Tue, Jul 11, 2023 at 2:43 PM Jeffrey Benjamin Brown < @.***> wrote:

17,685 chords on 5 keys? I'm counting 31 -- 2 to the power of 5, minus the empty chord. I must not know what you mean by chord.

— Reply to this email directly, view it on GitHub https://github.com/synchrony/smsn/issues/28#issuecomment-1631550081, or unsubscribe https://github.com/notifications/unsubscribe-auth/AAAWSBHHGHTYGNZAHIRH24LXPXCH5ANCNFSM4AF473VQ . You are receiving this because you modified the open/close state.Message ID: @.***>