User:BudjarnLambeth/Beginners
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Return to gallery lobby: Gallery of just intervals
The following is an exhibit featuring a small, carefully curated collection of just intonation intervals. It is intended to include those few intervals which stand out above the rest as particularly audible or structurally essential.
Criteria for inclusion
The criteria for an interval's inclusion are:
If it meets those criteria, it is welcome to be added.
The collection
See also List of intervals (Huygens-Fokker foundation)
If any FJS names are missing, please add them.
| Frequency Ratio | Cents Value (six decimal places) |
Color Name | FJS Name | Some common names |
|---|---|---|---|---|
| 1/1 | 0 | w1, wa unison | P1 | unity, perfect prime, Tonic |
| 33/32 | 53.272943 | 1o1, ilo unison | P111 | undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic |
| 25/24 | 70.672427 | yy1, yoyo unison | A125 | chroma, classic chromatic semitone, Zarlinian semitone |
| 22/21 | 80.537035 | 1or1, loru unison | P1117 | undecimal minor semitone |
| 21/20 | 84.467193 | zg2, zogu 2nd | m275 | minor semitone, large septimal chroma |
| 20/19 | 88.800698 | 19uy1, nuyo unison | A1519 | small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone |
| 19/18 | 93.603014 | 19o2, ino 2nd | m219 | large undevicesimal semitone, undevicesimal limma, Boethius' semitone |
| 18/17 | 98.954592 | 17u1, su unison | A117 | small septendecimal semitone, Arabic lute index finger |
| 17/16 | 104.955410 | 17o2, iso 2nd | m217 | large septendecimal semitone, octave-reduced 17th harmonic |
| 16/15 | 111.731285 | g2, gu 2nd | m25 | classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic |
| 15/14 | 119.442808 | ry1, ruyo unison | A157 | septimal diatonic semitone |
| 14/13 | 128.298245 | 3uz2, thuzo 2nd | M2713 | tridecimal 2/3-tone, trienthird, tridecimal supraminor second |
| 13/12 | 138.572661 | 3o2, tho 2nd | m213 | tridecimal neutral second, tridecimal 2/3-tone |
| 12/11 | 150.637059 | 1u2, lu 2nd | M211 | small undecimal neutral second, 3/4-tone |
| 11/10 | 165.004228 | 1og2, logu 2nd | m2115 | undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second |
| 10/9 | 182.403712 | y2, yo 2nd | M25 | classic (whole) tone, minor (whole) tone |
| 9/8 | 203.910002 | w2, wa 2nd | M2 | Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic |
| 8/7 | 231.174094 | r2, ru 2nd | M27 | supermajor second, septimal whole tone, octave-reduced 7th subharmonic |
| 15/13 | 247.741053 | 3uy2, thuyo 2nd | A2513 | tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third |
| 7/6 | 266.870906 | z3, zo 3rd | m37 | subminor third, septimal minor third |
| 13/11 | 289.209719 | 3o1u3, tholu 3rd | m31311 | tridecimal minor third |
| 6/5 | 315.641287 | g3, gu 3rd | m35 | classic minor third, just minor third |
| 11/9 | 347.407941 | 1o3, ilo 3rd | m311 | undecimal neutral third |
| 5/4 | 386.313714 | y3, yo 3rd | M35 | classic major third, just major third, octave-reduced 5th harmonic |
| 14/11 | 417.507964 | 1uz4, luzo 4th | P4711 | undecimal major third, undecimal diminished fourth |
| 9/7 | 435.084095 | r3, ru 3rd | M37 | supermajor third, septimal major third |
| 13/10 | 454.213948 | 3og4, thogu 4th | d4135 | tridecimal semisixth, Barbados third, tridecimal 9/4 tone |
| 4/3 | 498.044999 | w4, wa 4th | P4 | just perfect fourth, octave-reduced 3rd subharmonic, diatessaron |
| 15/11 | 536.950772 | 1uy4, luyo 4th | A4511 | undecimal augmented fourth, subaugmented fourth |
| 11/8 | 551.317942 | 1o4, ilo 4th | P411 | super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa |
| 7/5 | 582.512193 | zg5, zogu 5th | d575 | augmented fourth, septimal tritone, Huygen's tritone |
| 10/7 | 617.487807 | ry4, ruyo 4th | A457 | diminished fifth, Euler's tritone, superaugmented fourth |
| 13/9 | 636.617660 | 3o5, tho 5th | d513 | tridecimal diminished fifth |
| 3/2 | 701.955001 | w5, wa 5th | P5 | just perfect fifth, octave-reduced 3rd harmonic, diapente |
| 14/9 | 764.915905 | z6, zo 6th | m67 | subminor sixth, septimal minor sixth |
| 11/7 | 782.492036 | 1or5, loru 5th | P5117 | undecimal subminor sixth, undecimal augmented fifth |
| 8/5 | 813.686286 | g6, gu 6th | m65 | classic minor sixth, just minor sixth, octave-reduced 5th subharmonic |
| 13/8 | 840.527662 | 3o6, tho 6th | m613 | lesser tridecimal neutral sixth, octave-reduced 13th harmonic |
| 5/3 | 884.358713 | y6, yo 6th | M65 | classic major sixth, just major sixth |
| 17/10 | 918.641696 | 17og7, sogu 7th | d7175 | septendecimal diminished seventh, septendecimal major sixth |
| 12/7 | 933.129094 | r6, ru 6th | M67 | supermajor sixth, septimal major sixth |
| 7/4 | 968.825906 | z7, zo 7th | m77 | subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic |
| 16/9 | 996.089998 | w7, wa 7th | m7 | Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic |
| 9/5 | 1017.596288 | g5, gu 7th | m75 | classic minor seventh, large minor seventh |
| 11/6 | 1049.362941 | 1o7, ilo 7th | m711 | undecimal neutral seventh, 21/4-tone |
| 13/7 | 1071.701755 | 3or7, thoru 7th | m7137 | tridecimal submajor seventh, 16/3-tone |
| 15/8 | 1088.268715 | y7, yo 7th | M75 | classic major seventh, just major seventh, octave-reduced 15th harmonic |
| 21/11 | 1119.462965 | 1uz8, luzo 8ve | P8711 | large undecimal diminished octave, undecimal major seventh |
| 25/13 | 1132.099766 | 3uyy7, thuyoyo 7th | A75,513 | lesser tridecimal diminished octave |
| 2/1 | 1200 | w8, wa octave | P8 | octave, diapason |