public int GetScaleDegreePitchClass(ScaleDegree sd)
{
// Get the midi # and do mod 12.
int midi = GetScaleDegreePitch(sd, 0).MidiNumber;
return(midi % 12);
}
/// <summary>
/// Returns an example Pitch in the given key on the given scale degree, in the given octave.
/// </summary>
/// <param name="degree">The scale degree to create.</param>
/// <param name="octave">The c-based octave in which to create the Pitch instance.</param>
/// <returns>The example pitch on the requested scale degree.</returns>
public Pitch GetScaleDegreePitch(ScaleDegree degree, int octave)
{
int numFifths;
bool progressUp;
PitchInterval fifth;
PitchInterval degreeInterval;
numFifths = Math.Abs(Fifths);
progressUp = (Fifths > 0);
fifth = new PitchInterval(7);
// First, find the tonic of the key.
// Start on middle C and loop through the circle of fifths.
Pitch tonic = new Pitch(35, Accidental.Natural);
for (int i = 0; i < numFifths; i++)
{
if (progressUp)
{
tonic += fifth;
tonic.FlipEnharmonic(true, true); // The first argument is true because B# and E# are not allowed.
}
else
{
tonic -= fifth;
tonic.FlipEnharmonic(i < 6, false); // The first argument is used because Cb is allowed (fifths = -7; i=6);
}
}
// Second, add the scale degree to the tonic note.
// Convert the scale degree to a pitch interval.
degreeInterval = new PitchInterval();
switch ((degree.Number - 1) % 7)
{
case 0:
degreeInterval.Interval = 0;
break;
case 1:
degreeInterval.Interval = 2;
break;
case 2:
degreeInterval.Interval = 4;
break;
case 3:
degreeInterval.Interval = 5;
break;
case 4:
degreeInterval.Interval = 7;
break;
case 5:
degreeInterval.Interval = 9;
break;
case 6:
degreeInterval.Interval = 11;
break;
}
// Add back in the # octaves.
degreeInterval += new PitchInterval(12 * ((degree.Number - 1) / 7));
Pitch result = tonic + degreeInterval;
// Pick the correct enharmonic version (assuming no alterations). We use sharps if we are going up on the circle of fifths.
// Natural notes like B are used instead of Cb until we have 6 accidentals. This is a special mixed case where we need to
// use one normal "white key" and one sharp "white key": both B natural and E# are in the key signature in F# major. Similarly,
// in Gb major both Cb and F natural are in the key signature.
// Once we have 7 accidentals, we don't use any natural white keys.
if (numFifths < 6)
{
result.FlipEnharmonic(true, progressUp);
}
else if (numFifths > 6)
{
result.FlipEnharmonic(false, progressUp);
}
else if (fifths == 6) // F# Major.
{
if (degree.Number == 4) // B natural special case.
{
result.FlipEnharmonic(true, true);
}
else
{
result.FlipEnharmonic(false, true);
}
}
else // Gb Major.
{
if (degree.Number == 7) // F natural special case.
{
result.FlipEnharmonic(true, false);
}
else
{
result.FlipEnharmonic(false, false);
}
}
// Set the alteration (this function picks the right enharmonic version if the pitch is already set right for the no alteration case.)
result.ApplyAlteration(degree.Alteration);
// Finally, set the octave.
result.Octave = octave;
return(result);
}
public ScaleDegreeWithStability(ScaleDegree sd, int stability)
: base(sd.Number, sd.Alteration)
{
Stability = stability;
}
