public Melody12Tone(MelodyBase melodyBase, TwelveToneSet toneset, int key = 0, int tempo = 60)
{
this.melodyBase = melodyBase;
this.toneset = toneset;
this.key = key;
this.tempo = tempo;
}
public TwelveToneSet(Random rand, int ntones, TwelveToneSet scale)
{
Debug.Assert(ntones <= scale.Count);
tone12 pos = 0;
// Find the first tone the scale
while (!scale[pos])
{
pos++;
}
// Randomly move it forward
int times = rand.Next(scale.Count);
pos = scale.Next(pos, times);
tones = 0;
tones &= (short)(1 << pos);
for (int i = 1; i < ntones; i++)
{
pos = scale.Next(pos, 2);
tones &= (short)(1 << pos);
}
Debug.Assert(ntones == this.Count);
}
public bool IsSimilar(TwelveToneSet other)
{
if (other.Count != this.Count)
{
return(false);
}
if (this.Equals(other))
{
return(true);
}
TwelveToneSet copy = new TwelveToneSet(this);
for (int i = 1; i < TWELVE; i++)
{
copy = copy.ShiftRight(1);
if (copy.Equals(other))
{
return(true);
}
}
return(false);
}
public bool CoveredBy(TwelveToneSet other)
{
for (int i = 0; i < TWELVE; i++)
{
if (this[i] && !other[i])
{
return(false);
}
}
return(true);
}
/// <summary>
/// Distance based on the number of common underlying Scales
/// </summary>
public int DistanceScales(TwelveToneSet other)
{
int count = 0;
TwelveToneSet copy = new TwelveToneSet(majorScale);
for (int i = 0; i < TWELVE; i++)
{
if (this.CoveredBy(copy) && other.CoveredBy(copy))
{
count++;
}
copy.ShiftRight(1);
}
int ret = Math.Min(CountMajorScales(), other.CountMajorScales()) - count;
return(ret);
}
public bool CoveredByAnySimilar(TwelveToneSet other)
{
if (this.CoveredBy(other))
{
return(true);
}
TwelveToneSet copy = new TwelveToneSet(this);
for (int i = 1; i < TWELVE; i++)
{
copy = copy.ShiftRight(1);
if (copy.CoveredBy(other))
{
return(true);
}
}
return(false);
}
int CountMajorScales()
{
int count = 0;
TwelveToneSet copy = new TwelveToneSet(majorScale);
if (this.CoveredBy(copy))
{
count++;
}
for (int i = 1; i < TWELVE; i++)
{
copy.ShiftRight(1);
if (this.CoveredBy(copy))
{
count++;
}
}
return(count);
}
/// <summary>
/// Produces a list containing all similar scales.
/// For example, if given only major scale (or similarly only minor scale)
/// it will return: ionian(major), dorian, phrygian, lydian, mixolydian, aeolian and locrian scale.
/// </summary>
private static List <TwelveToneSet> CalculateAllScales(List <TwelveToneSet> scales)
{
if (scales == null)
{
return(null);
}
// Assert each scale is rooted, no two scales are similar
for (int i = 0; i < scales.Count; i++)
{
Debug.Assert(scales[i].IsRooted);
for (int j = i + 1; j < scales.Count; j++)
{
Debug.Assert(!scales[i].IsSimilar(scales[j]));
}
}
List <TwelveToneSet> allScales = new List <TwelveToneSet>();
foreach (var scale in scales)
{
TwelveToneSet currScale = scale;
do
{
// Shift to next inversion e.g. ionian to dorian
do
{
currScale = currScale.ShiftRight(1);
} while (!currScale.IsRooted);
allScales.Add(currScale);
} while (currScale != scale);
}
return(allScales);
}
public TwelveToneSet ShiftInScale(int count, TwelveToneSet scale)
{
if (count == 0)
{
return(this);
}
Debug.Assert(scale.Count >= Count);
short set = 0;
// Transpose in scale notes first
TwelveToneSet intersect = Intersection(this, scale);
Dictionary <int, int> mapping = new Dictionary <int, int>();
foreach (var x in intersect)
{
mapping[x] = scale.NextInScale(x, count);
set = BitOn(set, mapping[x]);
}
// If each in-scale note was transposed by the same amount, do it for the rest
TwelveToneSet rest = Minus(this, scale);
var nesto = mapping.Select(kpv => new tone12(kpv.Value - kpv.Key));
if (nesto.Distinct().Count() == 1)
{
tone12 offset = mapping.First().Value - mapping.First().Key;
rest = Minus(this, scale);
foreach (var x in rest)
{
mapping[x] = (x + offset);
set = BitOn(set, x + offset);
}
TwelveToneSet ttsInScale = new TwelveToneSet(set);
Debug.Assert(ttsInScale.Count == this.Count);
return(ttsInScale);
}
// If the choice is between in-scale and out-scale, choose in scale
rest = Minus(this, scale);
foreach (var x in rest)
{
var list = mapping.Select(kpv => x + (kpv.Value - kpv.Key)).Distinct().ToList();
if (list.Count == 2)
{
if (scale[list.First()] ^ scale[list.Last()])
{
tone12 tone = scale[list.First()] ? list.First() : list.Last();
mapping[x] = tone;
set = BitOn(set, tone);
}
}
}
TwelveToneSet tts = new TwelveToneSet(set);
Debug.Assert(tts.Count == this.Count);
return(tts);
}
public int TotalDistance(TwelveToneSet other)
{
return(DistanceScales(other) + DistanceCommonTones(other));
}
/// <summary>
/// Distance based on common tones between the two chords
/// </summary>
/// <param name="other">The other TwelveToneSet</param>
/// <returns>Greater count minus the number of common tones</returns>
public int DistanceCommonTones(TwelveToneSet other)
{
TwelveToneSet common = TwelveToneSet.Intersection(this, other);
return(Math.Max(this.Count, other.Count) - common.Count);
}
static TwelveToneSet Negative(TwelveToneSet set)
{
return(new TwelveToneSet((short)(chromatic.tones - set.tones)));
}
static TwelveToneSet Intersection(TwelveToneSet set1, TwelveToneSet set2)
{
return(new TwelveToneSet((short)(set1.tones & set2.tones)));
}
static TwelveToneSet Union(TwelveToneSet set1, TwelveToneSet set2)
{
return(new TwelveToneSet((short)(set1.tones | set2.tones)));
}
public bool Equals(TwelveToneSet other) => tones == other.tones;
static TwelveToneSet Minus(TwelveToneSet set1, TwelveToneSet set2)
{
return(new TwelveToneSet((short)(set1.tones & (Negative(set2).tones))));
}
public MelodyPartDtoC(int offset, TwelveToneSet scale, MelodyPartList node) //todo: scale should be 3rd arg
: base(offset, node)
{
Debug.Assert(node.IsDiatonic);
this.scale = scale;
}
public TwelveToneSet(TwelveToneSet other)
{
this.tones = other.tones;
}