The key module

Classes and functions to deal with key signatures.

mode_offset = {'aeolian': 5, 'dorian': 1, 'ionian': 0, 'locrian': 6, 'lydian': 3, 'major': 0, 'minor': 5, 'mixolydian': 4, 'phrygian': 2}

The offset of the standard key modes to the default major scale in LilyPond.

alterations(offset, scale=None)

Return the list of alterations for the specified offset.

The list has the same length as the scale (which has the pitch of the “white keys” starting at C, and probably almost never will have to be specified).

The offset is an integer that specifies the number of notes to shift the scale to the left or right. The pitches in the scale from that offset are compared with the pitches from the beginning, and the returned alteration for that step is the difference from the default step in the scale. For example:

>>> from quickly.key import alterations
>>> alterations(0)
[0, 0, 0, 0, 0, 0, 0]
>>> alterations(1)
[0, 0, -0.5, 0, 0, 0, -0.5]

The first call lists the accidentals for C major. The second call lists the accidentals that would be needed when transposing the scale starting at step 1 in the scale (that would be a dorian scale for the default major scale) to step 0 in the same scale, so this would be the accidentals that would be needed for C dorian.

accidentals(note, alter=0, mode=None, scale=None)

Return the list of 7 alterations for the specified key signature.

The note is a note from 0..6; the alter is the alteration of that note in whole tones, and the mode, if given, is a list of 7 alterations describing the mode. By default the major mode is used. Examples:

>>> major = alterations(0)
>>> minor = alterations(5)
>>> phrygian = alterations(2)
>>> accidentals(0, 0, major)                  # C major
[0, 0, 0, 0, 0, 0, 0]
>>> accidentals(1, 0, major)                  # D major, accs for cs and fs
[0.5, 0, 0, 0.5, 0, 0, 0]
>>> accidentals(1, 0, minor)                  # D minor, just a b-flat
[0, 0, 0, 0, 0, 0, -0.5]
>>> accidentals(2, 0, phrygian)               # E phrygian, no accidentals
[0, 0, 0, 0, 0, 0, 0]
>>> accidentals(3, .5, phrygian)              # F-sharp phrygian, 2 accs
[0.5, 0, 0, 0.5, 0, 0, 0]
>>> accidentals(5, 0, major)                  # A major
[0.5, 0, 0, 0.5, 0.5, 0, 0]
>>> accidentals(5, 0, minor)                  # A minor
[0, 0, 0, 0, 0, 0, 0]
>>> accidentals(5, -0.5, major)               # A-flat major
[0, -0.5, -0.5, 0, 0, -0.5, -0.5]
>>> accidentals(2, -0.5, minor)               # E-flat minor
[-0.5, -0.5, -0.5, 0, -0.5, -0.5, -0.5]
>>> accidentals(4, 0.5, major)                # G-sharp major
[0.5, 0.5, 0.5, 1, 0.5, 0.5, 0.5]

You can compose your own mode (inspired by the LilyPond manual):

>>> freygish = [0, -0.5, 0, 0, 0, -0.5, -0.5]
>>> accidentals(0, 0, freygish)
[0, -0.5, 0, 0, 0, -0.5, -0.5]
>>> tatooinish = [0.5, 0 -0.5, 0.5, 0, 0, -0.5]
>>> accidentals(3, 0.5, tatooinish)           # F-sharp tatooinish
[0, 0.5, 0, 1, 0, 1]                        # (one sharp and two double sharps)

chromatic_scale(note=0, alter=0, scale=None, flats=None)

Return a default chromatic scale, based on the scale.

Every item in the scale is a tuple(note, alter). Uses sharps for altered notes, unless a pitch value is in the flats list. By default, step 1.5 and 5 are in the flats list, resulting in an e-flat instead of d-sharp, and b-flat instead of a-sharp.

If note and/or alter are given, the scale is transposed and rotated as if it where in that key.

tonic(sf, scale=None)

Return the tuple(note, alter) which is the musical tonic for the major scale with the given number of sharps or flats sf.

If sf is negative, it is the number of flats, otherwise it is the number of sharps. This function is useful when you only know the number of sharps or flats, which is common in e.g. MIDI key signature meta messages.

If you want the tonic and alteration of a minor key signature, just add 3 sharps. So if you have the information that the key signature has 4 flats and is minor, you get the tonic with tonic(-4 + 3), which results in (3, 0.0), which in the default scale is F.

class KeySignature(note, alter=0, mode='major', scale=None)

Bases: object

Represents a key signature.

This object can represent the information contained in a LilyPond \key command.

The note and alter attributes represent the pitch, and the mode the mode. Just as with LilyPond, the mode can be a standard name or a custom list of alterations.

Additionally, it stores the accidentals such as returned by the accidentals() function, and provides conversion of MIDI key numbers to sensible pitches.

note = None

The note (0..6).

alter = None

The alteration in whole tones (0 by default).

mode = None

The mode (a standard LilyPond mode name like “major” or a custom alterations list).

scale = None

The default scale.

accidentals = None

The accidentals for this key signature.

flats = None

The tuple of pitch values in the default scale to give a flat instead of a sharp when converting a MIDI key number to a pitch. The default value is set in the MAJOR_FLATS module constant.

pitch(key, flats=None)

Return a Pitch representing the MIDI key number.

The pitch’s note and alteration are chosen so that they logically fit in the key signature.

The optional flats parameter is a list of pitch values that get flats instead of sharps (if they are not base steps of the current key signature). By default, the flats attribute is read, which contains by default step 1.5 and 5, resulting (in a C key) in an e-flat instead of a d-sharp, and a b-flat instead of an a-sharp.

An example, A major:

>>> from quickly.key import KeySignature
>>> sig = KeySignature(5)
>>> for key in range(60, 72):
...     print(sig.pitch(key, (1.5, 4, 5)))
...
<Pitch note=0, alter=0, octave=1 (c')>
<Pitch note=0, alter=0.5, octave=1 (cis')>
<Pitch note=1, alter=0, octave=1 (d')>
<Pitch note=1, alter=0.5, octave=1 (dis')>
<Pitch note=2, alter=0, octave=1 (e')>
<Pitch note=3, alter=0, octave=1 (f')>
<Pitch note=3, alter=0.5, octave=1 (fis')>
<Pitch note=4, alter=0, octave=1 (g')>
<Pitch note=4, alter=0.5, octave=1 (gis')>
<Pitch note=5, alter=0, octave=1 (a')>
<Pitch note=5, alter=0.5, octave=1 (ais')>
<Pitch note=6, alter=0, octave=1 (b')>

The same MIDI keys in B-flat minor:

>>> sig = KeySignature(6, -0.5, "minor")
>>> for key in range(60, 72):
...     print(sig.pitch(key))
...
<Pitch note=0, alter=0, octave=1 (c')>
<Pitch note=1, alter=-0.5, octave=1 (des')>
<Pitch note=1, alter=0, octave=1 (d')>
<Pitch note=2, alter=-0.5, octave=1 (ees')>
<Pitch note=2, alter=0, octave=1 (e')>
<Pitch note=3, alter=0, octave=1 (f')>
<Pitch note=4, alter=-0.5, octave=1 (ges')>
<Pitch note=4, alter=0, octave=1 (g')>
<Pitch note=5, alter=-0.5, octave=1 (aes')>
<Pitch note=5, alter=0, octave=1 (a')>
<Pitch note=6, alter=-0.5, octave=1 (bes')>
<Pitch note=6, alter=0, octave=1 (b')>

Or G-sharp major:

>>> sig = KeySignature(4, 0.5, "major")
>>> for key in range(60, 72):
...     print(sig.pitch(key))
...
<Pitch note=6, alter=0.5, octave=0 (bis)>
<Pitch note=0, alter=0.5, octave=1 (cis')>
<Pitch note=0, alter=1, octave=1 (cisis')>
<Pitch note=1, alter=0.5, octave=1 (dis')>
<Pitch note=1, alter=1, octave=1 (disis')>
<Pitch note=2, alter=0.5, octave=1 (eis')>
<Pitch note=3, alter=0.5, octave=1 (fis')>
<Pitch note=3, alter=1, octave=1 (fisis')>
<Pitch note=4, alter=0.5, octave=1 (gis')>
<Pitch note=4, alter=1, octave=1 (gisis')>
<Pitch note=5, alter=0.5, octave=1 (ais')>
<Pitch note=6, alter=0, octave=1 (b')>

You may alter the flats attribute beforehand to influence the returned MIDI pitches. This incantation makes all altered notes flats:

>>> sig = KeySignature(0)   # C-major
>>> sig.flats = (.5, 1.5, 3, 4, 5)
>>> for key in range(60, 72): print(sig.pitch(key))
...
<Pitch note=0, alter=0, octave=1 (c')>
<Pitch note=1, alter=-0.5, octave=1 (des')>
<Pitch note=1, alter=0, octave=1 (d')>
<Pitch note=2, alter=-0.5, octave=1 (ees')>
<Pitch note=2, alter=0, octave=1 (e')>
<Pitch note=3, alter=0, octave=1 (f')>
<Pitch note=4, alter=-0.5, octave=1 (ges')>
<Pitch note=4, alter=0, octave=1 (g')>
<Pitch note=5, alter=-0.5, octave=1 (aes')>
<Pitch note=5, alter=0, octave=1 (a')>
<Pitch note=6, alter=-0.5, octave=1 (bes')>
<Pitch note=6, alter=0, octave=1 (b')>