GC232CF - Math-n-music

GC232CF - Math-n-music

By: robgreene

1.  Here is the puzzle:

This musical score contains all the information you need to find this geocache. It uses both music and math. With a little creative thought, you will arrive at the final location.

Additional Hints:

Hint 1:  Chromatic scale, starting with A. 

Hint 2:  Not base ten.




2.  List the notes in the Chromatic Scale of A.

• A
• A#
• B
• C
• C#
• D
• D#
• E
• F
• F#
• G
• G#

3.  Assign a Base 12 label to each note, starting with A.

Duodecimal (Base 12) needs two more digits than Decimal, so "A" and "B" are used:

Duodecimal (Base 12) Numbering:  0 1 2 3 4 5 6 7 8 9 A B 


Using the Base 12 numbering system, assign labels to each note, starting with A = 0.

• A = 0

• A# = 1

• B = 2

• C = 3

• C# = 4

• D = 5

• D# = 6

• E = 7

• F = 8

• F# = 9

• G = A

• G# = B

4.  List the notes in the musical score, in order.

After listing the notes in the musical score, in order, assign the corresponding base 12 label to each note.


Treble Clef Notes:

• A# = 1
• D = 5
• G = A
• G = A
• E = 7
• C = 3
• E = 7

Bass Clef Notes:

• B = 2
• G# = B
• G# = B
• A# = 1
• D = 5
• F = 8
• A = 0

5.  List each set of numbers as a string.

Treble Clef Digit String:  15AA737

Bass Clef Digit String:  2BB1580

6.  Using a Base Conversion Tool, convert the number strings from Base 12 (duodecimal) to Base 10 (decimal).

Here is a hyperlink to a Base Conversion Tool:

https://www.mathsisfun.com/numbers/convert-base.php


You will need to select "12 Duodecimal" from the drop-down menu.  Then enter the strings from Step 5 into the 12 Duodecimal box.  The converted digits will be listed in the Decimal box.


The two sets of converted Decimal digits are your Solved Coordinates.




7.  Solved Coordinates.

Converted Treble Clef Digit String = North Coordinate:

    N 44 55.835

Converted Bass Clef Digit String = West Coordinate:

    W 89 39.760

8.  Verify the solved coordinates using GeoChecker.

GeoChecker - Math-n-music