List of musical intervals
From Wikipedia, the free encyclopedia
- Equal-tempered refers to 12-tone equal temperament (easy to follow when you look at the cents: 100,200,300, 400, etc.)
- Harmonic means an overtone of the harmonic series (an integer multiple of the root), transposed to fit within the octave
- Pythagorean means 3-limit; a ratio of numbers with prime factors no higher than three
- Just means 5-limit just intonation; a ratio of numbers with prime factors no higher than five
- Septimal means a ratio of numbers with prime factors no higher than seven
- Similarly, undecimal a ratio of numbers with prime factors no higher than eleven and so on with tridecimal (13), septendecimal (17)...
| Cents | Ratio | Name(s) |
|---|---|---|
|
0.00
|
1:1
|
Unison |
|
0.40
|
4375:4374
|
Ragisma |
|
0.72
|
2401:2400
|
Breedsma |
|
1.00
|
21/1200:1
|
Cent |
|
1.20
|
2 1/1000:1
|
Millioctave |
|
1.95
|
32805:32768
|
Schisma |
|
3.99
|
1 + (1/100) log102:1
|
Savart |
|
7.71
|
225:224
|
Septimal kleisma or marvel comma |
|
8.11
|
15625:15552
|
Kleisma |
|
13.79
|
126:125
|
Septimal semicomma or starling comma |
|
14.37
|
121:120
|
Undecimal neutral seconds comma |
|
19.55
|
2048:2025
|
Diaschisma or minor comma |
|
21.51
|
81:80
|
Syntonic comma, major comma, komma, or comma of Didymus |
|
22.64
|
21/53:1
|
Holdrian comma, Holder's comma, or Arabian comma |
|
23.46
|
312:219
|
Pythagorean comma |
|
27.26
|
64:63
|
Septimal comma or comma of Archytas |
|
31.19
|
56:55
|
Difference between (11:8) and (7:5) tritone |
|
34.98
|
50:49
|
Septimal sixth-tone or jubilisma |
|
35.70
|
49:48
|
Septimal diesis or slendro diesis |
|
41.06
|
128:125
|
Enharmonic (5-limit) Diesis or Limma |
|
48.77
|
36:35
|
Septimal quarter tone |
|
50.00
|
21/24:1
|
Equal-tempered quarter tone |
|
70.67
|
25:24
|
Just chromatic semitone, lesser chromatic semitone, minor semitone, or chromatic diesis |
|
84.47
|
21:20
|
Septimal chromatic semitone |
|
90.22
|
256:243
|
Pythagorean limma or Pythagorean minor semitone |
|
92.18
|
135:128
|
Greater chromatic semitone, chromatic semitone, semitone medius |
|
100.00
|
21/12:1
|
Equal-tempered minor second |
|
111.73
|
16:15
|
Just diatonic semitone, major semitone, or limma |
|
113.69
|
2187:2048
|
Pytharorean apotome or major semitone |
|
119.44
|
15:14
|
Septimal diatonic semitone |
|
133.24
|
27:25
|
Minor second or semitone Maximus |
|
150.64
|
12:11
|
Lesser undecimal neutral second |
|
165.00
|
11:10
|
Greater undecimal neutral second |
|
182.40
|
10:9
|
Just minor tone |
|
200.00
|
21/6:1
|
Equal-tempered major second |
|
203.91
|
9:8
|
Just major tone or tonus |
|
231.17
|
8:7
|
Septimal major second |
|
266.87
|
7:6
|
Septimal minor third or subminor third |
|
294.13
|
32:27
|
Pythagorean minor third |
|
300.00
|
21/4:1
|
Equal-tempered minor third |
|
315.64
|
6:5
|
Just minor third or semiditonus |
|
347.41
|
11:9
|
Undecimal neutral third |
|
386.31
|
5:4
|
Just major third or ditonus |
|
400.00
|
21/3:1
|
Equal-tempered major third |
|
407.82
|
81:64
|
Pythagorean major third or ditone |
|
417.51
|
14:11
|
Undecimal major third |
|
435.08
|
9:7
|
Septimal major third or supermajor third |
|
498.04
|
4:3
|
Just perfect fourth or diatessaron |
|
500.00
|
25/12:1
|
Equal-tempered perfect fourth |
|
519.55
|
27:20
|
5-limit wolf fourth |
|
551.32
|
11:8
|
Eleventh harmonic |
|
582.51
|
7:5
|
Lesser septimal tritone |
|
600.00
|
21/2:1
|
Equal-tempered tritone |
|
617.49
|
10:7
|
Greater septimal tritone |
|
648.68
|
16:11
|
Inversion of eleventh harmonic |
|
680.45
|
40:27
|
5-limit wolf fifth |
|
700.00
|
27/12:1
|
Equal-tempered perfect fifth |
|
701.96
|
3:2
|
Just perfect fifth or diapente |
|
764.92
|
14:9
|
Septimal minor sixth |
|
782.49
|
11:7
|
Undecimal minor sixth |
|
792.18
|
128:81
|
Pythagorean minor sixth |
|
800.00
|
22/3:1
|
Equal-tempered minor sixth |
|
813.69
|
8:5
|
Just minor sixth |
|
840.53
|
13:8
|
Tridecimal neutral sixth, overtone sixth, 13th harmonic |
|
852.59
|
18:11
|
Undecimal neutral sixth |
|
884.36
|
5:3
|
Just major sixth |
|
900.00
|
23/4:1
|
Equal-tempered major sixth |
|
905.87
|
27:16
|
Pythagorean major sixth |
|
933.13
|
12:7
|
Septimal major sixth |
|
968.83
|
7:4
|
Septimal minor seventh, harmonic seventh |
|
996.09
|
16:9
|
Lesser just minor seventh |
|
1000.00
|
25/6:1
|
Equal-tempered minor seventh |
|
1017.60
|
9:5
|
Greater just minor seventh |
|
1035.00
|
20:11
|
Lesser undecimal neutral seventh |
|
1049.36
|
11:6
|
Greater undecimal neutral seventh |
|
1088.27
|
15:8
|
Just major seventh |
|
1100.00
|
211/12:1
|
Equal-tempered major seventh |
|
1109.78
|
243:128
|
Pythagorean major 7th |
|
1200.00
|
2:1
|
Octave or diapason |
|
1901.96
|
3:1
|
Tritave or just perfect twelfth |
|
2400.00
|
4:1
|
Fifteenth or two octaves |
