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#!/usr/bin/env python
# -*- encoding: utf-8 -*-
# CREATED:2022-08-09 06:34:21 by Brian McFee <brian.mcfee@nyu.edu>
"""Unit tests for just intonation and friends"""
import os
import sys
try:
os.environ.pop("LIBROSA_CACHE_DIR")
except KeyError:
pass
import warnings
import numpy as np
import pytest
import librosa
def test_pythagorean():
ivals = librosa.pythagorean_intervals(bins_per_octave=6, sort=False)
assert np.allclose(ivals, [1, 3 / 2, 9 / 8, 27 / 16, 81 / 64, 243 / 128])
ivals2 = librosa.pythagorean_intervals(bins_per_octave=6, sort=True)
assert np.allclose(sorted(ivals), ivals2)
def test_plimit3():
intervals = librosa.plimit_intervals(primes=[3], bins_per_octave=24, sort=False)
intervals_s = librosa.plimit_intervals(primes=[3], bins_per_octave=24, sort=True)
assert np.allclose(sorted(intervals), intervals_s)
assert np.allclose(
intervals,
[
1, # These are just alternating powers of 3/2
3 / 2,
4 / 3,
9 / 8,
16 / 9,
32 / 27,
27 / 16,
128 / 81,
81 / 64,
256 / 243,
243 / 128,
729 / 512,
2187 / 2048,
6561 / 4096,
1024 / 729,
4096 / 2187,
8192 / 6561,
7625 / 6347,
10037 / 6029,
13654 / 7577,
7577 / 6827,
12457 / 9217,
2006 / 1979,
12497 / 8445,
],
)
def test_plimit5():
intervals = librosa.plimit_intervals(primes=[3, 5], bins_per_octave=24, sort=False)
intervals_s = librosa.plimit_intervals(primes=[3, 5], bins_per_octave=24, sort=True)
assert np.allclose(sorted(intervals), intervals_s)
assert np.allclose(
intervals,
[
1, # Unison
3 / 2, # P5
4 / 3, # P4
9 / 8, # major wholetone
5 / 4, # Pt M3
15 / 8, # Pt M7
5 / 3, # Pt M6
45 / 32, # Pt TT
8 / 5, # Pt m6
6 / 5, # Pt m3
16 / 15, # major diatonic semitone
9 / 5, # Pt m7
16 / 9, # Py m7
27 / 16, # Py M6
10 / 9, # minor wholetone
64 / 45, # Pt dim5
32 / 27, # Py m3
25 / 16, # Pt aug5
75 / 64, # Pt aug2
25 / 24, # minor chromatic semitone
135 / 128, # major limma
225 / 128, # Pt aug6
40 / 27, # Pt narrow 5
25 / 18, # Rameau's tritone
],
)
def test_plimit7():
intervals = librosa.plimit_intervals(
primes=[3, 5, 7], bins_per_octave=24, sort=False
)
intervals_s = librosa.plimit_intervals(
primes=[3, 5, 7], bins_per_octave=24, sort=True
)
assert np.allclose(sorted(intervals), intervals_s)
assert np.allclose(
intervals,
[
1, # Unison
3 / 2, # P5
4 / 3, # P4
9 / 8, # major whole tone
5 / 4, # Pt M3
15 / 8, # Pt M7
5 / 3, # Pt M6
45 / 32, # Pt TT
8 / 5, # Pt m6
6 / 5, # Pt m3
16 / 15, # major diatonic semitone
9 / 5, # Pt m7
16 / 9, # Py m7
27 / 16, # Py M6
7 / 4, # N7
21 / 16, # septimal narrow 4
8 / 7, # septimal whole tone
12 / 7, # septimal M7
9 / 7, # septimal M3
32 / 21, # septimal wide fifth
7 / 6, # septimal m3
63 / 32, # septimal narrow octave
35 / 32, # septimal N2
105 / 64, # septimal N6
],
)
@pytest.mark.parametrize("n_bins", [6, 12, 24, 30])
@pytest.mark.parametrize(
"intervals", ["equal", "pythagorean", "ji3", "ji5", "ji7", [1, 4 / 3, 3 / 2, 5 / 4]]
)
@pytest.mark.parametrize("bins_per_octave", [6, 12, 15])
def test_interval_frequencies(n_bins, intervals, bins_per_octave):
freqs = librosa.interval_frequencies(
n_bins, fmin=10, intervals=intervals, bins_per_octave=bins_per_octave
)
assert len(freqs) == n_bins
assert min(freqs) == 10
@pytest.mark.parametrize(
"intervals", ["pythagorean", "ji3", "ji5", "ji7", [1, 3 / 2, 4 / 3, 5 / 4]]
)
def test_intervals_sorted(intervals):
freqs = librosa.interval_frequencies(12, fmin=1, intervals=intervals, sort=False)
freqs_s = librosa.interval_frequencies(12, fmin=1, intervals=intervals, sort=True)
assert not np.allclose(freqs, freqs_s)
assert np.allclose(sorted(freqs), freqs_s)
@pytest.mark.parametrize("sort", [False, True])
def test_pythagorean_factorizations(sort):
intervals = librosa.pythagorean_intervals(
bins_per_octave=20, sort=sort, return_factors=False
)
factors = librosa.pythagorean_intervals(
bins_per_octave=20, sort=sort, return_factors=True
)
assert len(intervals) == len(factors)
for ival, facts in zip(intervals, factors):
value = 0.0
for prime in facts:
value += facts[prime] * np.log2(prime)
assert np.isclose(ival, np.power(2, value))
@pytest.mark.parametrize("sort", [False, True])
@pytest.mark.parametrize("primes", [[3], [3, 5], [3, 5, 7]])
def test_plimit_factorizations(sort, primes):
intervals = librosa.plimit_intervals(
primes=primes, bins_per_octave=20, sort=sort, return_factors=False
)
factors = librosa.plimit_intervals(
primes=primes, bins_per_octave=20, sort=sort, return_factors=True
)
assert len(intervals) == len(factors)
for ival, facts in zip(intervals, factors):
value = 0.0
for prime in facts:
value += facts[prime] * np.log2(prime)
assert np.isclose(ival, np.power(2, value))
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