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In music theory, the minor scale is three scale patterns – the natural minor scale (or Aeolian mode), the harmonic minor scale, and the melodic minor scale (ascending or descending) – mirroring the major scale, with its harmonic and melodic forms In each of these scales, the first, third, and fifth scale degrees form a minor triad (rather than a major triad, as in a major scale). In some contexts, minor scale is used to refer to any heptatonic scale with this property (see Related modes below). A natural minor scale (or Aeolian mode) is a diatonic scale that is built by starting on the sixth degree of its relative major scale. For instance, the A natural minor scale can be built by starting on the 6th degree of the C major scale: { \override Score.TimeSignature #'stencil = ##f \relative c' { \clef treble \time 7/4 c4^\markup { C major scale } d e f g \override NoteHead.color = #red a \override NoteHead.color = #black b c2 \bar "||" \time 9/4 \override NoteHead.color = #red a,4^\markup { A natural minor scale } \override NoteHead.color = #black b c d e f g a2 } } Because of this, the key of A minor is called the relative minor of C major. Every major key has a relative minor, which starts on the 6th scale degree or step. For instance, since the 6th degree of F major is D, the relative minor of F major is D minor. A natural minor scale can also be constructed by altering a major scale with accidentals. In this way, a natural minor scale is represented by the following notation: 1, 2, 3, 4, 5, 6, 7, 8 This notation is based on the major scale, and represents each degree (each note in the scale) by a number, starting with the tonic (the first, lowest note of the scale). By making use of flat symbols () this notation thus represents notes by how they deviate from the notes in the major scale. Because of this, we say that a number without a flat represents a major (or perfect) interval, while a number with a flat represents a minor interval.
[2]Paolo Prandoni, [3]LCAV, EPFL
The Karplus-Strong algorithm is a simple method to generate synthetic
sounds with arbitrary pitch. In this notebook we will explore a few
variations of the method to illustrate some basic notions of
discrete-time signal processing.
In [1]:
%matplotlib inline
import matplotlib
import matplotlib.pyplot as plt
import numpy as np
import IPython
In [2]:
plt.rcParams["figure.figsize"] [2]Paolo Prandoni, [3]LCAV, EPFL
In this notebook we will explore various ways to implement a system
that changes the voice of a speaker. Typical applications for these
techniques, strictly sorted by plausibility, include international spy
missions and prank telephone calls, and devices such as the one
displayed here can be easily bought on the web... or in a novelty shop.
No description has been provided for t