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Sunday Times Teaser – Put Your Finger On It

by BRG on July 5, 2024

by Colin Vout

Published Friday July 05 2024 (link)

On a particular stringed instrument, a fingering pattern of 2,2,3,1 means that the pitches of strings 1 to 4 are raised by that many steps respectively from the “open strings” (ie, their pitches when not fingered); this gives a “chord” of pitches C,E,G,A# in some order. The fingering pattern 4,1,0,x (for some whole number x from 0 to 11 inclusive) would give pitches F,A,C,D in some order, if these were all shifted by some fixed amount.

[Pitches range through C,C#,D,D#,E,F,F#,G,G#,A,A#,B, which then repeat.]

What are the pitches of “open strings” 1 to 4, and what is the value of x?

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2 Comments Leave one →
  1. BRG permalink

  2. Frits permalink

    Reusing Jim’s finger routine.

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