xn+1 = Axn+Bxn-1+C
coefficientsinital values A B C x0 x1
rangemaximumoffsetinstrumentomit? low 0 (percussion only) 1 Acoustic Grand 2 Bright Acoustic 3 Electric Grand 4 Honky-Tonk 5 Electric Piano 1 7 Harpsichord 6 Electric Piano 2 8 Clav 9 Celesta 10 Glockenspiel 11 Music Box 12 Vibraphone 13 Marimba 14 Xylophone 15 Tubular Bells 16 Dulcimer 17 Drawbar Organ 18 Percussive Organ 19 Rock Organ 20 Church Organ 21 Reed Organ 22 Accordion 23 Harmonica 24 Tango Accordion 25 Acoustic Guitar(nylon) 26 Acoustic Guitar(steel) 27 Electric Guitar(jazz) 28 Electric Guitar(clean) 29 Electric Guitar(muted) 30 Overdriven Guitar 31 Distortion Guitar 32 Guitar Harmonics 33 Acoustic Bass 34 Electric Bass(finger) 35 Electric Bass(pick) 36 Fretless Bass 37 Slap Bass 1 38 Slap Bass 2 39 Synth Bass 1 41 Violin 40 Synth Bass 2 42 Viola 43 Cello 44 Contrabass 45 Tremolo Strings 46 Pizzicato Strings 47 Orchestral Strings 48 Timpani 49 String Ensemble 1 50 String Ensemble 2 51 SynthStrings 1 53 Choir Aahs 52 SynthStrings 2 54 Voice Oohs 55 Synth Voice 56 Orchestra Hit 57 Trumpet 58 Trombone 59 Tuba 60 Muted Trumpet 61 French Horn 62 Brass Section 63 SynthBrass 1 64 SynthBrass 2Oohs 65 Soprano Sax 66 Alto Sax 67 Tenor Sax 68 Baritone Sax 69 Oboe 70 English Horn 71 Bassoon 72 Clarinet 73 Piccolo 74 Flute 75 Recorder 76 Pan Flute 77 Blown Bottle 78 Skakuhachi 79 Whistle 80 Ocarina 81 Lead 1 (square) 82 Lead 2 (sawtooth) 83 Lead 3 (calliope) 84 Lead 4 (chiff) 85 Lead 7 (fifths) 86 Lead 8 (bass+lead) 89 Pad 1 (new age) 90 Pad 2 (warm) 91 Pad 3 (polysynth) 92 Pad 4 (choir) 93 Pad 5 (bowed) 94 Pad 6 (metallic) 95 Pad 7 (halo) 96 Pad 8 (sweep) 97 FX 1 (rain) 98 FX 2 (soundtrack) 99 FX 3 (crystal) 100 FX 4 (atmosphere) 101 FX 5 (brightness) 102 FX 6 (goblins) 103 FX 7 (echoes) 104 FX 8 (sci-fi) 105 Sitar 106 Banjo 107 Shamisen 108 Koto 109 Kalimba 110 Bagpipe 111 Fiddle 112 Shanai 113 Tinkle Bell 114 Agogo 115 Steel Drums 116 Woodblock 117 Taiko Drum 118 Melodic Tom 119 Synth Drum 120 Reverse Cymbal 121 Guitar Fret Noise 122 Breath Noise 123 Seashore 124 Bird Tweet 125 Telephone Ring 126 Helicopter 127 Applause 128 Gunshot middle 0 (percussion only) 1 Acoustic Grand 2 Bright Acoustic 3 Electric Grand 4 Honky-Tonk 5 Electric Piano 1 7 Harpsichord 6 Electric Piano 2 8 Clav 9 Celesta 10 Glockenspiel 11 Music Box 12 Vibraphone 13 Marimba 14 Xylophone 15 Tubular Bells 16 Dulcimer 17 Drawbar Organ 18 Percussive Organ 19 Rock Organ 20 Church Organ 21 Reed Organ 22 Accordion 23 Harmonica 24 Tango Accordion 25 Acoustic Guitar(nylon) 26 Acoustic Guitar(steel) 27 Electric Guitar(jazz) 28 Electric Guitar(clean) 29 Electric Guitar(muted) 30 Overdriven Guitar 31 Distortion Guitar 32 Guitar Harmonics 33 Acoustic Bass 34 Electric Bass(finger) 35 Electric Bass(pick) 36 Fretless Bass 37 Slap Bass 1 38 Slap Bass 2 39 Synth Bass 1 41 Violin 40 Synth Bass 2 42 Viola 43 Cello 44 Contrabass 45 Tremolo Strings 46 Pizzicato Strings 47 Orchestral Strings 48 Timpani 49 String Ensemble 1 50 String Ensemble 2 51 SynthStrings 1 53 Choir Aahs 52 SynthStrings 2 54 Voice Oohs 55 Synth Voice 56 Orchestra Hit 57 Trumpet 58 Trombone 59 Tuba 60 Muted Trumpet 61 French Horn 62 Brass Section 63 SynthBrass 1 64 SynthBrass 2Oohs 65 Soprano Sax 66 Alto Sax 67 Tenor Sax 68 Baritone Sax 69 Oboe 70 English Horn 71 Bassoon 72 Clarinet 73 Piccolo 74 Flute 75 Recorder 76 Pan Flute 77 Blown Bottle 78 Skakuhachi 79 Whistle 80 Ocarina 81 Lead 1 (square) 82 Lead 2 (sawtooth) 83 Lead 3 (calliope) 84 Lead 4 (chiff) 85 Lead 7 (fifths) 86 Lead 8 (bass+lead) 89 Pad 1 (new age) 90 Pad 2 (warm) 91 Pad 3 (polysynth) 92 Pad 4 (choir) 93 Pad 5 (bowed) 94 Pad 6 (metallic) 95 Pad 7 (halo) 96 Pad 8 (sweep) 97 FX 1 (rain) 98 FX 2 (soundtrack) 99 FX 3 (crystal) 100 FX 4 (atmosphere) 101 FX 5 (brightness) 102 FX 6 (goblins) 103 FX 7 (echoes) 104 FX 8 (sci-fi) 105 Sitar 106 Banjo 107 Shamisen 108 Koto 109 Kalimba 110 Bagpipe 111 Fiddle 112 Shanai 113 Tinkle Bell 114 Agogo 115 Steel Drums 116 Woodblock 117 Taiko Drum 118 Melodic Tom 119 Synth Drum 120 Reverse Cymbal 121 Guitar Fret Noise 122 Breath Noise 123 Seashore 124 Bird Tweet 125 Telephone Ring 126 Helicopter 127 Applause 128 Gunshot high modulus 0 (percussion only) 1 Acoustic Grand 2 Bright Acoustic 3 Electric Grand 4 Honky-Tonk 5 Electric Piano 1 7 Harpsichord 6 Electric Piano 2 8 Clav 9 Celesta 10 Glockenspiel 11 Music Box 12 Vibraphone 13 Marimba 14 Xylophone 15 Tubular Bells 16 Dulcimer 17 Drawbar Organ 18 Percussive Organ 19 Rock Organ 20 Church Organ 21 Reed Organ 22 Accordion 23 Harmonica 24 Tango Accordion 25 Acoustic Guitar(nylon) 26 Acoustic Guitar(steel) 27 Electric Guitar(jazz) 28 Electric Guitar(clean) 29 Electric Guitar(muted) 30 Overdriven Guitar 31 Distortion Guitar 32 Guitar Harmonics 33 Acoustic Bass 34 Electric Bass(finger) 35 Electric Bass(pick) 36 Fretless Bass 37 Slap Bass 1 38 Slap Bass 2 39 Synth Bass 1 41 Violin 40 Synth Bass 2 42 Viola 43 Cello 44 Contrabass 45 Tremolo Strings 46 Pizzicato Strings 47 Orchestral Strings 48 Timpani 49 String Ensemble 1 50 String Ensemble 2 51 SynthStrings 1 53 Choir Aahs 52 SynthStrings 2 54 Voice Oohs 55 Synth Voice 56 Orchestra Hit 57 Trumpet 58 Trombone 59 Tuba 60 Muted Trumpet 61 French Horn 62 Brass Section 63 SynthBrass 1 64 SynthBrass 2Oohs 65 Soprano Sax 66 Alto Sax 67 Tenor Sax 68 Baritone Sax 69 Oboe 70 English Horn 71 Bassoon 72 Clarinet 73 Piccolo 74 Flute 75 Recorder 76 Pan Flute 77 Blown Bottle 78 Skakuhachi 79 Whistle 80 Ocarina 81 Lead 1 (square) 82 Lead 2 (sawtooth) 83 Lead 3 (calliope) 84 Lead 4 (chiff) 85 Lead 7 (fifths) 86 Lead 8 (bass+lead) 89 Pad 1 (new age) 90 Pad 2 (warm) 91 Pad 3 (polysynth) 92 Pad 4 (choir) 93 Pad 5 (bowed) 94 Pad 6 (metallic) 95 Pad 7 (halo) 96 Pad 8 (sweep) 97 FX 1 (rain) 98 FX 2 (soundtrack) 99 FX 3 (crystal) 100 FX 4 (atmosphere) 101 FX 5 (brightness) 102 FX 6 (goblins) 103 FX 7 (echoes) 104 FX 8 (sci-fi) 105 Sitar 106 Banjo 107 Shamisen 108 Koto 109 Kalimba 110 Bagpipe 111 Fiddle 112 Shanai 113 Tinkle Bell 114 Agogo 115 Steel Drums 116 Woodblock 117 Taiko Drum 118 Melodic Tom 119 Synth Drum 120 Reverse Cymbal 121 Guitar Fret Noise 122 Breath Noise 123 Seashore 124 Bird Tweet 125 Telephone Ring 126 Helicopter 127 Applause 128 Gunshot
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