LIST OF MUSICAL INTERVALS

★ ''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)...
{| class="wikitable"
! Cents || Ratio || Name
|-
| || || Unison
|-
| || || Ragisma
|-
| || || Breedsma
|-
| || || Cent
|-
| || || Millioctave
|-
| || || Schisma
|-
| || {{center| $1\; +\; (1/100)\; log\_\{10\}\; 2$ : 1}} || Savart
|-
| || || Septimal kleisma or marvel comma
|-
| || || Kleisma
|-
| || || Septimal semicomma or starling comma
|-
| || || Diaschisma
|-
| || || Syntonic comma or comma of Didymus
|-
| || || Arabian comma or Holder's comma
|-
| || || Pythagorean comma
|-
| || || Septimal comma or comma of Archytas
|-
| || || Septimal sixth-tone or jubilisma
|-
| || || Septimal diesis or slendro diesis
|-
| || || {{center| 5-limit Diesis or Limma
|-
| || || Septimal quarter tone
|-
| || || {{center| Equal-tempered quarter tone
|-
| || || Just chromatic semitone
|-
| || || Septimal chromatic semitone
|-
| || || Pythagorean limma
|-
| || || {{center| Equal-tempered minor second
|-
| || || Just diatonic semitone
|-
| || || Septimal diatonic semitone
|-
| || || {{center| Lesser undecimal neutral second
|-
| || || {{center| Greater undecimal neutral second
|-
| || || Just minor tone
|-
| || || {{center| Equal-tempered major second
|-
| || || Just major tone or ''tonus''
|-
| || || Septimal major second
|-
| || || Septimal minor third or subminor third
|-
| || || Pythagorean minor third
|-
| || || {{center| Equal-tempered minor third
|-
| || || Just minor third or semiditonus
|-
| || || {{center| Undecimal neutral third
|-
| || || Just major third or ditonus
|-
| || || {{center| Equal-tempered major third
|-
| || || Pythagorean major third or ditone
|-
| || || {{center| Undecimal major third
|-
| || || Septimal major third or supermajor third
|-
| || || {{center| Just perfect fourth or ''diatessaron''
|-
| || || {{center| Equal-tempered perfect fourth
|-
| || || {{center| 5-limit wolf fourth
|-
| || || {{center| Eleventh harmonic
|-
| || || {{center| Lesser septimal tritone
|-
| || || {{center| Equal-tempered tritone
|-
| || || {{center| Greater septimal tritone
|-
| || || {{center| Inversion of eleventh harmonic
|-
| || || {{center| 5-limit wolf fifth
|-
| || || {{center| Equal-tempered perfect fifth
|-
| || || {{center| Just perfect fifth or ''diapente''
|-
| || || {{center| Septimal minor sixth
|-
| || || {{center| Undecimal minor sixth
|-
| || || {{center| Pythagorean minor sixth
|-
| || || {{center| Equal-tempered minor sixth
|-
| || || {{center| Just minor sixth
|-
| || || {{center| Undecimal neutral sixth
|-
| || || {{center| Just major sixth
|-
| || || {{center| Equal-tempered major sixth
|-
| || || {{center| Pythagorean major sixth
|-
| || || {{center| Septimal major sixth
|-
| || || {{center| Septimal minor seventh, harmonic seventh
|-
| || || {{center| Lesser just minor seventh
|-
| || || {{center| Equal-tempered minor seventh
|-
| || || {{center| Greater just minor seventh
|-
| || || {{center| Lesser undecimal neutral seventh
|-
| || || {{center| Greater undecimal neutral seventh
|-
| || || {{center| Just major seventh
|-
| || || {{center| Equal-tempered major seventh
|-
| || || Octave or ''diapason''
|-
| || || Tritave or just perfect twelfth
|-
| || || Fifteenth or two octaves
|-
|}

Contents

See also

External links

See also

★ Whole-tone scale

★ Pythagorean intervals

★ List of meantone intervals

External links

★ List of interval names in English

★ Xenharmonic.com septimal comma list

★ All known musical intervals