Here is a list of intervals. Including a huge amount of notes you cannot play on a standard instrument.
http://www.huygens-fokker.org/docs/intervals.html
Partial List of English interval names
1/1 unison, perfect prime
2/1 octave
3/2 perfect fifth
4/3 perfect fourth
5/3 major sixth, BP sixth
5/4 major third
6/5 minor third
7/3 minimal tenth, BP tenth
7/4 harmonic seventh
7/5 septimal or Huygens' tritone, BP fourth
7/6 septimal minor third
8/5 minor sixth
8/7 septimal whole tone
9/4 major ninth
9/5 just minor seventh, BP seventh
9/7 septimal major third, BP third
9/8 major whole tone
10/7 Euler's tritone
10/9 minor whole tone
11/5 neutral ninth
11/6 21/4-tone, undecimal neutral seventh
11/7 undecimal augmented fifth
11/8 undecimal semi-augmented fourth
11/9 undecimal neutral third
11/10 4/5-tone, Ptolemy's second
12/7 septimal major sixth
12/11 3/4-tone, undecimal neutral second
13/7 16/3-tone
13/8 tridecimal neutral sixth
13/9 tridecimal diminished fifth
13/10 tridecimal semi-diminished fourth
13/11 tridecimal minor third
13/12 tridecimal 2/3-tone
14/9 septimal minor sixth
14/11 undecimal diminished fourth or major third
14/13 2/3-tone
15/7 septimal minor ninth, BP ninth
15/8 classic major seventh
15/11 undecimal augmented fourth
15/13 tridecimal 5/4-tone
15/14 major diatonic semitone
16/7 septimal major ninth
16/9 Pythagorean minor seventh
16/11 undecimal semi-diminished fifth
16/13 tridecimal neutral third
16/15 minor diatonic semitone
17/8 septendecimal minor ninth
17/9 septendecimal major seventh
17/10 septendecimal diminished seventh
17/12 2nd septendecimal tritone
17/14 supraminor third
17/15 septendecimal whole tone
17/16 17th harmonic
18/11 undecimal neutral sixth
18/13 tridecimal augmented fourth
18/17 Arabic lute index finger
19/10 undevicesimal major seventh
19/12 undevicesimal minor sixth
19/15 undevicesimal ditone
19/16 19th harmonic
19/17 quasi-meantone
19/18 undevicesimal semitone
20/9 small ninth
20/11 large minor seventh
20/13 tridecimal semi-augmented fifth
20/17 septendecimal augmented second
20/19 small undevicesimal semitone
21/11 undecimal major seventh
21/16 narrow fourth
21/17 submajor third
21/20 minor semitone
22/13 tridecimal major sixth
22/15 undecimal diminished fifth
22/21 undecimal minor semitone
23/12 vicesimotertial major seventh
23/16 23rd harmonic
23/18 vicesimotertial major third
24/13 tridecimal neutral seventh
24/17 1st septendecimal tritone
24/19 smaller undevicesimal major third
24/23 vicesimotertial minor semitone
25/9 classic augmented eleventh, BP twelfth
25/12 classic augmented octave
25/14 middle minor seventh
25/16 classic augmented fifth
25/18 classic augmented fourth
25/21 BP second, quasi-tempered minor third
25/22 undecimal acute whole tone
25/24 classic chromatic semitone, minor chroma
26/15 tridecimal semi-augmented sixth
26/25 tridecimal 1/3-tone
27/14 septimal major seventh
27/16 Pythagorean major sixth
27/17 septendecimal minor sixth
27/20 acute fourth
27/22 neutral third, Zalzal wosta of al-Farabi
27/23 vicesimotertial minor third
27/25 large limma, BP small semitone
27/26 tridecimal comma
28/15 grave major seventh
28/17 submajor sixth
28/25 middle second
28/27 Archytas' 1/3-tone
29/16 29th harmonic
30/17 septendecimal minor seventh
30/19 smaller undevicesimal minor sixth
31/16 31st harmonic
31/30 31st-partial chroma
32/15 minor ninth
32/17 17th subharmonic
32/19 19th subharmonic
32/21 wide fifth
32/23 23rd subharmonic
32/25 classic diminished fourth
32/27 Pythagorean minor third
32/29 29th subharmonic
32/31 Greek enharmonic 1/4-tone
33/25 2 pentatones
33/26 tridecimal major third
33/28 undecimal minor third
33/32 undecimal comma, al-Farabi's 1/4-tone
34/21 supraminor sixth
34/27 septendecimal major third
35/18 septimal semi-diminished octave
35/24 septimal semi-diminished fifth
35/27 9/4-tone, septimal semi-diminished fourth
35/32 septimal neutral second
35/34 septendecimal 1/4-tone
36/19 smaller undevicesimal major seventh
36/25 classic diminished fifth
36/35 septimal diesis, 1/4-tone
37/32 37th harmonic
39/32 39th harmonic, Zalzal wosta of Ibn Sina
40/21 acute major seventh
40/27 grave fifth
40/39 tridecimal minor diesis
41/29 quasi-tempered tritone
42/25 quasi-tempered major sixth
44/25 undecimal grave minor seventh
44/27 neutral sixth
45/32 diatonic tritone
45/44 1/5-tone
46/45 23rd-partial chroma
48/25 classic diminished octave
48/35 septimal semi-augmented fourth
49/25 BP eighth
49/30 larger approximation to neutral sixth
49/36 Arabic lute acute fourth
49/40 larger approximation to neutral third
49/45 BP minor semitone
49/48 slendro diesis, septimal 1/6-tone
50/27 grave major seventh
50/33 3 pentatones
50/49 Erlich's decatonic comma, tritonic diesis
51/50 17th-partial chroma
52/33 tridecimal minor sixth
54/35 septimal semi-augmented fifth
54/49 Zalzal's mujannab
55/36 undecimal semi-augmented fifth
55/48 undecimal semi-augmented whole tone
55/49 quasi-equal major second
56/55 undecimal diesis
57/56 Hendrix comma
60/49 smaller approximation to neutral third
63/25 quasi-equal major tenth, BP eleventh
63/32 octave - septimal comma
63/34 submajor seventh
63/40 narrow minor sixth
63/50 quasi-equal major third
64/33 33rd subharmonic
64/35 septimal neutral seventh
64/37 37th subharmonic
64/39 39th subharmonic
64/45 2nd tritone
64/49 2 septatones or septatonic major third
64/63 septimal comma, Archytas' comma
65/64 13th-partial chroma
68/35 23/4-tone
68/63 supraminor second
72/49 Arabic lute grave fifth
72/55 undecimal semi-diminished fourth
72/59 Ibn Sina's neutral third
74/73 approximation to Pythagorean comma
75/49 BP fifth
75/64 classic augmented second
77/76 approximation to 53-tone comma
80/49 smaller approximation to neutral sixth
80/63 wide major third
81/44 2nd undecimal neutral seventh
81/50 acute minor sixth
81/64 Pythagorean major third
81/68 Persian wosta
81/70 Al-Hwarizmi's lute middle finger
81/80 syntonic comma, Didymus comma
88/81 2nd undecimal neutral second
89/84 quasi-equal semitone
91/59 15/4-tone
91/90 medium tridecimal comma
96/95 19th-partial chroma
98/55 quasi-equal minor seventh
99/70 2nd quasi-equal tritone
99/98 small undecimal comma
100/63 quasi-equal minor sixth
100/81 grave major third
100/99 Ptolemy's comma
105/64 septimal neutral sixth
105/104 small tridecimal comma
121/120 undecimal seconds comma
125/64 classic augmented seventh, octave - minor diesis
125/72 classic augmented sixth
125/96 classic augmented third
125/108 semi-augmented whole tone
125/112 classic augmented semitone
126/125 small septimal comma, Starling comma
128/75 diminished seventh
128/81 Pythagorean minor sixth
128/105 septimal neutral third
128/121 undecimal semitone
128/125 minor diesis, diesis
131/90 13/4-tone
135/128 major chroma, major limma
140/99 quasi-equal tritone
144/125 classic diminished third
144/143 Grossma
145/144 29th-partial chroma
153/125 7/4-tone
153/152 Ganassi's comma
160/81 octave - syntonic comma
161/93 19/4-tone
162/149 Persian neutral second
168/89 quasi-equal major seventh
169/168 Schulter's comma
176/175 valinorsma
192/125 classic diminished sixth
196/195 mynucuma
216/125 semi-augmented sixth
225/128 augmented sixth
225/224 septimal kleisma
231/200 5/4-tone
241/221 Meshaqah's 3/4-tone
243/125 octave - maximal diesis
243/128 Pythagorean major seventh
243/160 acute fifth
243/200 acute minor third
243/224 Archytas' 2/3-tone
243/242 neutral third comma
245/243 minor BP diesis, Sensamagic comma
246/239 Meshaqah's 1/4-tone
248/243 tricesoprimal comma
250/153 17/4-tone
250/243 maximal diesis
http://www.huygens-fokker.org/docs/intervals.html