How do I transpose music chords using JavaScript?

Question

I was wondering how would one create a javascript function for transposing music chords.

Since I don't expect everyone to be a musician here, I'll try to explain how it works in music theory. I hope I don't forget something. If yes, musicians, please, correct me.

1) The simple chords

The simple chords are almost as simple as an alphabet and it goes like this:

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

From B it loops all over again to C. Therefore, If the original chord is E and we want to transpose +1, the resulting chord is F. If we transpose +4, the resulting chord is G#.

2) Expanded chords

They work almost like the simple chords, but contain a few more characters, which can safely be ignored when transposing. For example:

Cmi, C#7, Dsus7, Emi, Fsus4, F#mi, G ...

So again, as with the simple chords, if we transpose Dsus7 + 3 = Fsus7

3) Non-root bass tone

A problem arises when the bass plays a different tone than the chord root tone. This is marked by a slash after the chord and also needs to be transposed. Examples:

C/G, Dmi/A, F#sus7/A#

As with examples 1 and 2, everything is the same, but the part after the slash needs transpose too, therefore:

C/G + 5 = F/C

F#sus7/A# + 1 = Gsus7/B

I think this should be all, unless I forgot something.

So basically, imagine you have a javascript variable called chord and the transpose value transpose. What code would transpose the chord?

Example:

var chord = 'F#sus7/C#';
var transpose = 3; // remember this value also may be negative, like "-4"
... code here ...
var result; // expected result = 'Asus7/E';

Answer 1

Just to expand on nnnnnn's answer. We can take his code and add a little bit more code to actually make it work with flats.

transposeChord("F#sus7/A#", 1)
> "Gsus7/B"

transposeChord("Bb", 1)
> "B"

... works like a charm

function transposeChord(chord, amount) {
    var scale = ["C", "C#", "D", "D#", "E", "F", "F#", "G", "G#", "A", "A#", "B"]
    var normalizeMap = {"Cb":"B", "Db":"C#", "Eb":"D#", "Fb":"E", "Gb":"F#", "Ab":"G#", "Bb":"A#",  "E#":"F", "B#":"C"}
    return chord.replace(/[CDEFGAB](b|#)?/g, function(match) {
        var i = (scale.indexOf((normalizeMap[match] ? normalizeMap[match] : match)) + amount) % scale.length;
        return scale[ i < 0 ? i + scale.length : i ];
    })
}

<!-- Example Page -->
Chord:        <input id="chord" type="text" value="C#" style="width:70px"> 
transposed by <input id="amount" type="number" value="0" style="width:30px"> 
=             <input id="new-chord" type="text" style="width:70px">
              <button onclick="document.getElementById('new-chord').value = transposeChord(document.getElementById('chord').value,parseInt(document.getElementById('amount').value))">Calculate</button>