Mat Silver & Tony Burt Ultimate Wave (Alphazone Remix)
Uploaded by likeaduck on Oct 22, 2020
Introduction
"Mat Silver & Tony Burt Ultimate Wave (Alphazone Remix)" is a MIDI music piece in Pop Music style, which is played by an ensemble of 5 instruments including Synth Bass 1, Lead 2 (sawtooth), Synth Strings 1, Bass Drum 1, and Crash Cymbal 1.
This music is short, 13 seconds, with a total of 232 notes, divided into 7 tracks, and a single tempo of 140bpm.
Some MIDI events such as pitch wheel, Channel Volume Control are used.
| Ratings: |
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Standard Midi File Properties
-
Standard
GM1 -
File format
MIDI TYPE 1 -
File size
3.06 KB -
Duration
00:13 -
BPM
140 -
Tracks
4 -
Mat Silver & Tony Burt Ultimate Wave (Alphazone Remix).mid MIDI download
Channels and Instruments
Used 4 channels, 3 instruments, 2 percussion instruments
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Lead 2 (sawtooth)
88 notes/chords，avg. pitch F4
Program ID: 81, Track: 3time: 00:00 - 00:14
pitch: C#3 - G#5
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Synth Bass 1
96 notes/chords，avg. pitch C#2
Program ID: 38, Track: 4time: 00:00 - 00:14
pitch: C#1 - G#2
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Synth Strings 1
10 notes/chords，avg. pitch C5
Program ID: 50, Track: 2time: 00:00 - 00:12
pitch: C#4 - G#5
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percussion instruments
Bass Drum 1 Crash Cymbal 1
Tracks
7 tracks are used, 4 tracks have notes
| # | Name | Channel(s) | Instrument(s) |
|---|---|---|---|
| 1 | midi-drums | 10 | Bass Drum 1Crash Cymbal 1 |
| 2 | PADS | 3 | Synth Strings 1 |
| 3 | MAIN LEAD | 1 | Lead 2 (sawtooth) |
| 4 | BASS | 2 | Synth Bass 1 |
| 5 | By Cloudburst | ||
| 6 | http://midi.johnsteenbergen.com/ |
p5答案是用裴蜀恒等式来证明存在性，第一句就是
p4可以这样分析，(z-x, z+x)=2，那(z-x)/2和(z+x)/2是互素正整数
它们的乘积等于2*(y/2)²是一个完全平方数的两倍，所以(z-x)/2和(z+x)/2恰有一个是偶数，另一个是奇数
按(z-x)/2和(z+x)/2的奇偶性分类，如果(z-x)/2是偶数，那(z-x)/4和(z+x)/2是互素正整数且相乘是完全平方数，所以存在互素正整数a, b使得z-x=4b², z+x=2a², 代入得到正整数y=2ab
另一种情况(z+x)/2是偶数，同理存在互素正整数a, b使得z-x=2a², z+x=4b², y=2ab
再往后整理了这两组解，变成同一种形式作为通解
万分感谢 一直在找!!!