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My guitar homework
Q derives from the mathematical notation Ken Iverson developed at Harvard. Years before, when Ken was a young man in Alberta, a farmer he worked for asked him if he knew how to use a certain tool. Ken didnt. Well, said the farmer, you wont learn it younger.
Amending past folly, Ive hired someone to teach me guitar at last. Part of my homework is to map notes to the frets on the guitar neck. Heres my assignment. Can you complete it as a single expression in q?
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3 Replies
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q)progression:"C#D#EF#G#A#B" q)notes:flip progression mod[;12]til[13]+/:progression? q)notes "EADGBE" "EADGBE" "F###CF" "#BEA##" "GCF#DG" "###B##" "ADGCEA" "####F#" "BEAD#B" "CF##GC" "##BE##" "DGCFAD" "######" "EADGBE"
First row is the open strings, and runs as far as the 12th fret, at which point the pattern repeats. Also works for alternative tunings:
q)notes”DADGBE” // Drop D
q)notes”DADGAD” // DADGAD
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Love the train of unaries, !
My teacher made something of C# also being D?, so
q)note:{flip(x?`$'y)rotate:x}[`$"`"vs"C`C#|Db`D`D#|Eb`E`F`F#|Gb`G`G#|Ab`A`A#|Bb`B"] q)note "EADGBE" E A D G B E F A#|Bb D#|Eb G#|Ab C F F#|Gb B E A C#|Db F#|Gb G C F A#|Bb D G G#|Ab C#|Db F#|Gb B D#|Eb G#|Ab A D G C E A A#|Bb D#|Eb G#|Ab C#|Db F A#|Bb B E A D F#|Gb B C F A#|Bb D#|Eb G C C#|Db F#|Gb B E G#|Ab C#|Db D G C F A D D#|Eb G#|Ab C#|Db F#|Gb A#|Bb D#|Eb -
Very nice !
Just to make your solution visually easier to read, I’ve casted to symbols:q)progression:`$("C";"C#";"D";"D#";"E";"F";"F#";"G";"G#";"A";"A#";"B") q)notes:flip progression mod[;12]til[13]+/:progression? q)notes `$'"EADGBE" E A D G B E F A# D# G# C F F# B E A C# F# G C F A# D G G# C# F# B D# G# A D G C E A A# D# G# C# F A# B E A D F# B C F A# D# G C C# F# B E G# C# D G C F A D D# G# C# F# A# D# E A D G B EAnd to satisfy for a one-liner, condensed as:
{flip x mod[;12]til[13]+/:x?y}[`$(“C”;”C#”;”D”;”D#”;”E”;”F”;”F#”;”G”;”G#”;”A”;”A#”;”B”);`$'”EADGBE”]
Look forward to seeing how others approach this problem.
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