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- Equal-tempered refers to 12-tone equal temperament
- 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, septendecimal...
| Cents | Ratio | Name |
| 0 | 1:1 | Unison |
| 1 | 1:21/1200 | Cent |
| 1.95 | 32768:32805 | Schisma |
| 7.71 | 224:225 | Septimal kleisma or marvel comma |
| 8.11 | 15552:15625 | Kleisma |
| 13.79 | 125:126 | Septimal semicomma or starling comma |
| 19.55 | 2025:2048 | Diaschisma |
| 21.51 | 80:81 | Syntonic comma or comma of Didymus |
| 22.64 | 1:21/53 | Arabian comma |
| 23.46 | 219:312 | Pythagorean comma |
| 27.26 | 63:64 | Septimal comma or comma of Archytas |
| 34.98 | 49:50 | Septimal sixth-tone or jubilisma |
| 35.70 | 48:49 | Septimal diesis or slendro diesis |
| 41.06 | 125:128 | 5-limit Diesis or Limma |
| 48.77 | 35:36 | Septimal quarter tone |
| 50 | Equal-tempered quarter tone | |
| 70.67 | 24:25 | Just chromatic semitone |
| 84.47 | 20:21 | Septimal chromatic semitone |
| 90.22 | 243:256 | Pythagorean limma |
| 100 | Equal-tempered minor second | |
| 111.73 | 15:16 | Just diatonic semitone |
| 119.44 | 14:15 | Septimal diatonic semitone |
| 150.64 | 11:12 | Lesser undecimal neutral second |
| 165.00 | 10:11 | Greater undecimal neutral second |
| 182.40 | 9:10 | Just minor tone |
| 200 | Equal-tempered major second | |
| 203.91 | 8:9 | Just major tone or tonus |
| 231.17 | 7:8 | Septimal major second |
| 266.87 | 6:7 | Septimal minor third or subminor third |
| 294.13 | 27:32 | Pythagorean minor third |
| 300 | Equal-tempered minor third | |
| 315.64 | 5:6 | Just minor third or semiditonus |
| 347.41 | 9:11 | Undecimal neutral third |
| 386.31 | 4:5 | Just major third or ditonus |
| 400 | Equal-tempered major third | |
| 407.82 | 64:81 | Pythagorean major third or ditone |
| 417.51 | 11:14 | Undecimal major third |
| 435.08 | 7:9 | Septimal major third or supermajor third |
| 498.04 | 3:4 | Just perfect fourth or diatessaron |
| 500 | Equal-tempered perfect fourth | |
| 519.55 | 20:27 | 5-limit wolf fourth |
| 551.32 | 8:11 | Eleventh harmonic |
| 582.51 | 5:7 | Lesser septimal tritone |
| 600 | Equal-tempered tritone | |
| 617.49 | 7:10 | Greater septimal tritone |
| 648.68 | 11:16 | Inversion of eleventh harmonic |
| 680.45 | 27:40 | 5-limit wolf fifth |
| 700 | Equal-tempered perfect fifth | |
| 701.96 | 2:3 | Just perfect fifth or diapente |
| 764.92 | 9:14 | Septimal minor sixth |
| 782.49 | 7:11 | Undecimal minor sixth |
| 792.18 | 81:128 | Pythagorean minor sixth |
| 800 | Equal-tempered minor sixth | |
| 813.69 | 5:8 | Just minor sixth |
| 852.59 | 11:18 | Undecimal neutral sixth |
| 884.36 | 3:5 | Just major sixth |
| 900 | Equal-tempered major sixth | |
| 905.87 | 16:27 | Pythagorean major sixth |
| 933.13 | 7:12 | Septimal major sixth |
| 968.83 | 4:7 | Septimal minor seventh, seventh harmonic |
| 996.09 | 9:16 | Lesser just minor seventh |
| 1000 | Equal-tempered minor seventh | |
| 1017.60 | 5:9 | Greater just minor seventh |
| 1035.00 | 11:20 | Lesser undecimal neutral seventh |
| 1049.36 | 6:11 | Greater undecimal neutral seventh |
| 1088.27 | 8:15 | Just major seventh |
| 1100 | Equal-tempered major seventh | |
| 1200 | 1:2 | Octave or diapason |
| 2400 | 1:4 | Fifteenth or two octaves |
External links
- Stichting Huygens-Fokker interval list
- Xenharmonic.com septimal comma list
- Tonalsoft Big list of 11-limit intervals
- All known musical intervals
Category: Intervals
