/// <summary>
/// Tunes this Pitch to TunedPitch using a specific standard pitch and a specific tuning system.
/// </summary>
/// <param name="standardPitch">Standard pitch (i.e. A4 = 440 Hz, etc.)</param>
/// <param name="tuningSystem"></param>
/// <returns>Pitch with assigned frequency</returns>
public TunedPitch Tune(TunedPitch standardPitch, TuningSystem tuningSystem)
{
var logarythmicProportion = tuningSystem.AllIntervalRatios[new BoundInterval(standardPitch, this)];
var freq = standardPitch.Frequency * UsefulMath.CentsToLinear(logarythmicProportion);
freq *= (this.Octave - standardPitch.Octave) + 1;
return(new TunedPitch(this, freq));
}
/// <summary>
/// Converts cents value to approximated proportion.
/// </summary>
/// <param name="cents"></param>
/// <param name="precision"></param>
/// <returns></returns>
public static Proportion GetApproximatedProportionFromCents(double cents, int precision = 6)
{
if (precision < 1 || precision > 20)
{
throw new ArgumentException("Precision must be between 1 and 20.", "precision");
}
var decimalValue = UsefulMath.CentsToLinear(cents);
var normalizedValue = decimalValue;
var denominator = 1;
var maxDenominator = Math.Pow(10, precision);
while (normalizedValue % 10 != 0 && denominator <= maxDenominator)
{
denominator *= 10;
normalizedValue *= 10;
}
return(new Proportion((int)normalizedValue, denominator).Normalize());
}