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going to take a rhythmic approach

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Kenneth Reitz
2018-08-23 11:18:52 -04:00
parent 7830eb9f28
commit d60e21ecba
1 changed files with 57 additions and 22 deletions
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pytheory/core.py
+57 -22
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@@ -1,3 +1,4 @@
from math import ceil, floor
import pytuning
import numeral
@@ -26,7 +27,7 @@ DEGREES = {
("subdominant", ("lydian", "dorian")),
("dominant", ("mixolydian", "phrygian")),
("submediant", ("aeolian", "lydian")),
("leading tone", ("loocrian", "mixolydian")),
("leading tone", ("locrian", "mixolydian")),
("octave", ("ionian", "aeolian")),
]
}
@@ -37,7 +38,7 @@ SCALES = {
# scale type: number of tones.
"chromatic": (12, {}),
"octatonic": (8, {}),
"heptatonic": (
"heptatonic": [
7,
{
"major": {"major": True, "hemitonic": True},
@@ -45,7 +46,7 @@ SCALES = {
"harmonic minor": {"minor": True, "harmonic": True, "hemitonic": True},
"melodic minor": {"minor": True, "melodic": True, "hemitonic": True},
},
),
],
# TODO: understand this
"hexatonic": (
6,
@@ -63,6 +64,12 @@ SCALES = {
}
}
for i, (degree_name, modes) in enumerate(DEGREES["western"]):
for mode in modes:
SCALES[12]["heptatonic"][1].update(
{mode: {"major": True, "hemitonic": True, "offset": i}}
)
class Pitch:
def __init__(self, *, frequency):
@@ -121,6 +128,8 @@ class System:
tones = scale_properties[0]
new_scales = scale_properties[1]
# exit()
if not new_scales:
new_scales = {scale_type: {}}
@@ -159,6 +168,7 @@ class System:
hemitonic=False,
harmonic=False,
melodic=False,
offset=None,
):
"""Generates the primary scale for a given number of semitones/tones."""
# TODO: Support minor, support harmonic, support melodic.
@@ -173,43 +183,68 @@ class System:
for i in range(tones):
yield 1
else:
if semitones:
first_halfstep_index = round((semitones / 2) - 1)
if hemitonic:
if major:
halfsteps = (
floor((semitones * 2 / tones)),
floor((semitones * 7 / tones)),
)
augmented_seconds = ()
elif minor:
halfsteps = (
floor((semitones / tones)),
floor((semitones * 3 / tones)),
)
augmented_seconds = []
if harmonic:
augmented_seconds = (floor((semitones * 5 / tones)),)
whole_step = 2
half_step = 1
augmented_second = 3
else:
first_halfstep_index = None
whole_step = 1
half_step = 0
augmented_second = 3
print(augmented_seconds)
step_count = 0
for i in range(semitones or tones):
if not (i % whole_step):
step_count += whole_step
if step_count < (semitones or tones):
if i in augmented_seconds:
step_count += augmented_second
yield augmented_second
if (step_count + whole_step) <= (semitones or tones):
step_count += whole_step
yield whole_step
else:
if half_step:
yield half_step
step_count += half_step
if step_count <= (semitones or tones):
yield half_step
else:
if i == first_halfstep_index:
if i in halfsteps:
step_count += half_step
if half_step:
yield half_step
return tuple(
[
g
for g in gen(
tones=tones,
semitones=semitones,
major=major,
minor=minor,
harmonic=harmonic,
melodic=melodic,
)
]
)
scale = [
g
for g in gen(
tones=tones,
semitones=semitones,
major=major,
minor=minor,
harmonic=harmonic,
melodic=melodic,
)
]
if offset:
scale = scale[offset - 1 :] + scale[: offset - 1]
return scale
def __repr__(self):
return f"<System semitones={self.semitones!r}>"