/Mathematica-Music-Pack

This macro package simplifies the arrangement input structure in the Mathematica platform sound module, reducing the amount of code keyed in by the composer and removing a lot of repetitive code structure and functional flaws in the original synthesis on special sounds.|此宏包可简化Mathematica平台声音模块中的编曲输入结构，降低作曲者键入代码量，去除原有合成中大量重复的代码结构和特殊音效上的功能缺陷。

Primary LanguageMathematicaCreative Commons Zero v1.0 UniversalCC0-1.0

Mathematica-Music-Pack

license CI

A macro package for simplifying composition on Mathematica

User manual

We use vectors and numbers to replace complicated SoundNote[] functions. A complete song has many sections, its format is as follow:

track1 = {
    {params of section 1},
    {notes  of section 1},

    {params of section 2},
    {notes  of section 2},

    ...

    {params of section m},
    {notes  of section m}
};

track2 = {
    {params of section 1},
    {notes  of section 1},

    {params of section 2},
    {notes  of section 2},

    ...

    {params of section n},
    {notes  of section n}
};

...

player[track1, soundfont1, track2, soundfont2, ...]

One section consists of an info part and a note part, the info part includes 4 required params(tonality, central note, transposition, tempo) and one optional param(volume number or volume change vector); While the note part contains melodies and chords. The info part follows below format rules:

Table 1: Param part format
Format
 Remark
{m, c, s, t} m is 0(major) or 1(minor);
c is central note integer([0, 11]);
s is transferring(The whole piece moves up s semitones);
t is tempo(the number = a quarter note);
{m, c, s, t, v} v is volume([0, 1]);
{m, c, s, t, {vs, vt}} Volume fades from vs to vt

The central note list is as follow:

Table 2: Central note list
C C#/Db D Eb/D# E F F#/Gb G Ab/G# A Bb/A# B
0 1 2 3 4 5 6 7 8 9 10 11

The note part has melodies and chords, which consists of different kinds of notes:

Table 3: Input formats of notes
Effect Format Remark
Rest {l} l is duration;
Tone {n, l} n is note value;
Chord {{n1, n2, ...}, l} nk are chord note values;
Staccato {n, {l1, l2}} l1 is real duration, l2 is duration ratio;
Vibrato {{n1, n2}, l1, tn} tn is trill number;
Arpeggio {{n1, n2, ...}, l1, l2} l2 is duration ratio;
Tenuto {bottom note, top notes} Bottom note can be a tone or a chord, top notes consist of any above type.

With these rules, we can get a concise format of notes.

Table 4: Sound effect demos

For notes in the note part, 12-note scheme is unfriendly to us, it can be transferred into 7-note scheme once the tonality is fixed:

Table 5: The 12-note scheme(left) & 7-note scheme(right)

Please refer to the demo code Demo_BWV-1079.nb or visit our song library https://mathmusic.pages.dev for more details; Before compiling songs, please run the macro package first.

Besides, the e-piano.nb is a piano keyboard UI, you can play it as a virtual piano on Mathematica.