Gallery of just intervals: Difference between revisions

See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]

{| class="wikitable sortable"

|-

! cents value <br> (six decimal places)

! [[Kite's_color_notation|color notation]]

! class="unsortable" | some common names

|-

| 0

| w1, wa unison

| unity, perfect prime, Tonic

|-

| 1.953721

| Ly-2, layo comma

| schisma, {{Monzo|-15, 8, 1}}

|-

| 7.711523

| ryy-2, ruyoyo comma

| septimal subcomma, marvel comma, {{Monzo|-5, 2, 2, -1}}

|-

| 13.794767

| zg<span style="vertical-align: super;">3</span>2, zotrigu comma

| septimal semicomma, starling comma, {{Monzo|1, 2, -3, 1}}

|-

| 17.399484

| 1uyy1, luyoyo comma

| Ptolemy's comma

|-

| 17.576131

| 1orr-2, loruru comma

| Mothwellsma

|-

| 19.552569

| sgg2, sagugu comma

| Diaschisma, {{Monzo|11, -4, -2}}

|-

| 21.506286

| g1, gu comma

| Meantone comma, Syntonic comma, Didymus comma

|-

| 23.460010

| LLw-2, wa comma

| Pythagorean comma, Ditonic comma, {{Monzo|-19, 12}}

|-

| 26.431568

| 3u1og1, thulogu comma

| Winmeanma

|-

| 26.841376

| 3oy1, thoyo comma

| Wilsorma, 13th-partial chroma

|-

| 27.264092

| r1, ru comma

| Septimal comma, Archytas' comma

|-

| 29.613568

| Ly<span style="vertical-align: super;">5</span>-2, laquinyo comma

| Magic comma, small diesis, {{Monzo|-10, -1, 5}}

|-

| 34.975615

| rryy-2, biruyo comma

| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis

|-

| 35.696812

| zz2, zozo comma

| large septimal diesis, slendro diesis

|-

| 38.905773

| 1uy1, luyo comma

| undecimal 1/5th tone

|-

| 41.058858

| g<span style="vertical-align: super;">3</span>2, trigu comma

| Diesis, minor diesis, augmented comma, enharmonic comma, {{Monzo|7, 0, -3}}

|-

| 43.408335

| Lzyy1, lazoyoyo comma

| Avicenna's enharmonic diesis, {{Monzo|-9, 1, 2, 1}}

|-

| 48.770381

| rg1, rugu comma

| double comma, septimal quarter tone

|-

| 49.166137

| y<span style="vertical-align: super;">3</span>1, triyo comma

| Porcupine comma, {{Monzo|1, -5, 3}}

|-

| 50.724102

| Lr-2, laru comma

| Harrison's comma, {{Monzo|-13, 10, 0, -1}}

|-

| 52.732017

| 97uyy1, ninety-suyoyo unison

| shrutar quarter tone

|-

| 53.272943

| 1o1, ilo unison

| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]

|-

| 62.565148

| g<span style="vertical-align: super;">4</span>2, quadgu 2nd

| diminished comma, major diesis, {{Monzo|8, 4, -4}}

|-

| 62.960904

| z2, zo 2nd

| septimal chroma, small septimal chromatic semitone, septimal subminor second

|-

| 65.337341  

| 3u1, thu unison

| small tridecimal third tone

|-

| 67.900234

| 3ogg2, thogugu 2nd

| large tridecimal third tone

|-

| 70.672427

| yy1, yoyo unison

| chroma, chromatic semitone, Zarlinian semitone

|-

| 78.114034

| 17o3ug2, sothugu 2nd

| valentine semitone

|-

| 80.537035

| 1or1, loru unison

| undecimal minor semitone

|-

| 83.115195

| 61u2, sixty-wu 2nd

| harry minor semitone

|-

| 84.467193

| zg2, zogu 2nd

| minor semitone, large septimal chromatic semitone

|-

| 88.800698

| 19uy1, nuyo unison

| small undevicesimal limma, small undevicesimal semitone

|-

| 90.224996

| sw2, small wa 2nd

| Pythagorean limma, Pythagorean minor second, {{Monzo|8, -5}}

|-

| 92.178716

| Ly1, layo unison

| major limma, {{Monzo|-7, 3, 1}}

|-

| 98.954592

| 17u1, su unison

| small septendecimal semitone, Arabic lute index finger

|-

| 104.955410

| 17o2, iso 2nd

| large septendecimal semitone, octave-reduced 17th harmonic

|-

| 111.731285

| g2, gu 2nd

| diatonic semitone, classic minor second, octave-reduced 15th subharmonic

|-

| 113.685006

| Lw1, large wa unison

| apotome, {{Monzo|-11, 7}}

|-

| 116.233847

| 1oz2, lozo 2nd

| undecimal secor

|-

| 119.442808

| ry1, ruyo unison

| septimal diatonic semitone

|-

| 128.298245

| 3uz2, thuzo 2nd

| tridecimal 2/3-tone, trienthird, tridecimal supraminor second

|-

| 133.237575

| gg2, gugu 2nd

| large limma

|-

| 138.572661

| 3o2, tho 2nd

| tridecimal subtone, tridecimal 2/3-tone

|-

| 140.949098

| Lr1, large ru unison

| septimal subtone, {{Monzo|-5, 5, 0, -1}}

|-

| 143.497939

| 1o2, ilo 2nd

| undecimal subtone

|-

| 147.428097

| zzg3, zozogu 3rd

| swetismic neutral second

|-

| 150.637059

| 1u2, lu 2nd

| small undecimal neutral second, 3/4-tone

|-

| 155.139620

| zy2, zoyo 2nd

| septimal neutral second

|-

| 162.786119

| 71u3o2, seventy-wutho 2nd

| porcupine neutral second

|-

| 165.004228

| 1og2, logu 2nd

| large undecimal neutral second, 4/5-tone, Ptolemy's second

|-

| 168.213190

| rr1, ruru unison

| Zalzal's mujannab

|-

| 182.403712

| y2, yo 2nd

| minor whole tone

|-

| 186.333871

| 1uzz3, luzozo 3rd

| werckismic minor second

|-

| 188.486956

| szzg⁴4, small bizogugu 4th

| marvelous second, marvelous (whole) tone

|-

| 192.557607

| 19o17u2, nosu 2nd

| quasi-meantone

|-

| 196.198479

| zgg3, zogugu 3rd

| middle major second

|-

| 199.979843

| 1orry1, loruruyo unison

| werckismic tone

|-

| 200.531983

| 19u2, inu 2nd

| quasi-tempered whole tone, octave-reduced 57th subharmonic

|-

| 203.910002

| w2, wa 2nd

| major whole tone, Pythagorean tone, octave-reduced 9th harmonic

|-

| 216.686695

| 17og3, sogu 3rd

| septendecimal whole tone, septendecimal eventone

|-

| 231.174094

| r2, ru 2nd

| supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic

|-

| 235.104252

| 1uzg3, luzogu 3rd

| werckismic supermajor second

|-

| 235.676655

| 1oy2, loyo 2nd

| keenanismic supermajor second

|-

| 247.741053

| 3uy2, thuyo 2nd

| semifourth, tridecimal ultramajor second, tridecimal inframinor third

|-

| 253.804926

| 19u1o2, nulo 2nd

| minimal minor third, godzilla third

|-

| 262.368344

| 1ug3, lugu 3rd

| keenanismic subminor third, octave-reduced 55th subharmonic

|-

| 266.870906

| z3, zo 3rd

| subminor third, septimal minor third, augmented second

|-

| 270.079867

| 1ury2, luruyo 2nd

| swetismic subminor third

|-

| 271.531027

| 53u31o2, fifty-thu-thirty-wo 2nd

| orwell subminor third

|-

| 274.582429

| yy2, yoyo 2nd

| classic augmented second

|-

| 281.358304

| 17uy2, suyo 2nd

| septendecimal augmented second, septendecimal minor third

|-

| 289.209179

| 3o1u3, tholu 3rd

| tridecimal minor third

|-

| 294.134997

| w3, wa 3rd

| Pythagorean minor third, octave-reduced 27th subharmonic

|-

| 297.513016

| 19o3, ino 3rd

| otonal minor third, octave-reduced 19th harmonic

|-

| 301.846520

| ryy2, ruyoyo 2nd

| quasi-tempered minor third

|-

| 309.974395

| 61o17u2, sixty-wosu 2nd

| myna third

|-

| 315.641287

| g3, gu 3rd

| minor third, pental minor third

|-

| 320.143849

| 1oz3, lozo 3rd

| keenanismic minor third, octave-reduced 77th harmonic

|-

| 323.352810

| ry2, ruyo 2nd

| large septimal minor third, marvelous minor third, {{Monzo|-4, 3, 1, -1}}

|-

| 325.562426

| 29uzy3, twenty-nuzoyo 3rd

| doublewide minor third

|-

| 336.129503

| 17or3, soru 3rd

| septendecimal supraminor third

|-

| 339.520756

| 73og3, seventy-thogu 3rd

| amity supraminor third

|-

| 345.254855

| Ly<span style="vertical-align: super;">4</span>2, large quadyo 2nd

| 5-limit neutral third, {{Monzo|-9, 0, 4}}

|-

| 347.407941

| 1o3, ilo 3rd

| undecimal neutral third

|-

| 350.616902

| rry2, ruruyo 2nd

| smaller septimal neutral third, (purple 3rd)

|-

| 351.338099

| zzg4, zozogu 4th

| larger septimal neutral third, (purple 3rd)

|-

| 354.547060

| 1u3, lu 3rd

| rastmic neutral third

|-

| 359.472338

| 3u3, thu 3rd

| tridecimal neutral third

|-

| 365.825498

| 17uz3, suzo 3rd

| septendecimal submajor third

|-

| 377.848005

| 41u17o4, forty-wuso 4th

| maja third

|-

| 378.602191

| zg4, zogu 4th

| narrow perde segah, marvelous major third

|-

| 380.228526

| 71o19u3, seventy-wonu 3rd

| witchcraft major third

|-

| 380.628211

| 61u19o4, sixty-wuno 4th

| magic major third

|-

| 381.811152

| 1ur3, luru 3rd

| undecimal perde segah, keenanismic major third

|-

| 386.313714

| y3, yo 3rd

| major third, octave-reduced 5th harmonic, pental major third

|-

| 400.108480

| zgg4, zogugu 4th

| quasi-tempered major third

|-

| 407.820003

| Lw3, large wa 3rd

| Pythagorean major third, octave-reduced 81st harmonic

|-

| 413.577806

| ry3, ruyo 3rd

| werckismic sharp major third

|-

| 417.507964

| 1uz4, luzo 4th

| undecimal major third, undecimal diminished fourth

|-

| 427.372572

| gg4, gugu 4th

| classic diminished fourth

|-

| 431.875134

| 1ozg4, lozogu 4th

| swetismic supermajor third

|-

| 435.084095

| r3, ru 3rd

| supermajor third, septimal major third, septimal diminished fourth

|-

| 443.080572

| 31o3, thirty-wo 3rd

| sensi supermajor third

|-

| 446.362533

| 17u1o3, sulo 3rd

| septendecimal supermajor third

|-

| 449.274618

| zy4, zoyo 4th

| semi-diminished fourth

|-

| 454.213948

| 3og4, thogu 4th

| Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third

|-

| 462.348187

| rr3, ruru 3rd

| septatonic major third

|-

| 464.427748

| 17o3u4, sothu 4th

| septendecimal sub-fourth

|-

| 470.780907

| z4, zo 4th

| sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic

|-

| 480.645516

| 1ogg4, logugu 4th

| "5-EDO"-esque fourth

|-

| 493.119721

| 3o1u4, tholu 4th

| tridecimal gentle fourth, {{Monzo|-3, 2, 0, 0, -1, 1}}

|-

| 498.044999

| w4, wa 4th

| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron

|-

| 505.756522

| ryy3, ruyoyo 3rd

| marvelous fourth

|-

| 519.551289

| g4, gu 4th

| acute fourth

|-

| 528.687110

| 19or4, noru 4th

| undevicesimal wide fourth

|-

| 533.741811

| zz5, zozo 5th

| Arabic lute acute fourth

|-

| 536.950772

| 1uy4, luyo 4th

| undecimal augmented fourth, subaugmented fourth

|-

| 546.815381

| rg4, rugu 4th

| septimal super-fourth

|-

| 551.317942

| 1o4, ilo 4th

| super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa

|-

| 563.382340

| 3u4, thu 4th

| tridecimal augmented fourth

|-

| 568.717426

| yy4, yoyo 4th

| classic augmented fourth, pental augmented fourth, {{Monzo|-1 -2 2}}

|-

| 578.582034

| 1or4, loru 4th

| werckismic augmented fourth

|-

| 582.512193

| zg5, zogu 5th

| augmented fourth, septimal tritone, Huygen's tritone

|-

| 590.223716

| y4, yo 4th

| smaller pental tritone, diatonic tritone, {{Monzo|-5 2 1}}

|-

| 585.721154

| 1ur4, luru 4th

| swetismic augmented fourth, {{Monzo|2, 3, 0, -1, -1}}

|-

| 596.999591

| 17u4, su 4th

| smaller septendecimal tritone

|-

| 603.000409

| 17o5, iso 5th

| larger septendecimal tritone

|-

| 609.776284

| g5, gu 5th

| larger pental tritone, diatonic tritone, {{Monzo|6 -2 -1}}

|-

| 617.487807

| ry4, ruyo 4th

| diminished fifth, Euler's tritone, superaugmented fourth

|-

| 628.274347

| 23o5, twenty-tho 5th

| 23-limit superaugmented fourth, octave-reduced 23rd harmonic

|-

| 631.282574

| gg5, gugu 5th

| pental diminished fifth, classic diminshed fifth, {{Monzo|2 2 -2}}

|-

| 636.617660

| 3o5, tho 5th

| tridecimal diminished fifth

|-

| 648.682058

| 1u5, lu 5th

| sub-fifth, octave-reduced 11th subharmonic

|-

| 653.184619

| zy5, zoyo 5th

| septimal sub-fifth

|-

| 663.049228

| 1og5, logu 5th

| undecimal diminished fifth, semidiminished fifth

|-

| 666.258889

| rr4, ruru 4th

| septimal catafifth

|-

| 670.188347

| 1ug5, lugu 5th

| undecimal catafifth

|-

| 671.312890

| 19uz5, nuzo 5th

| undevicesimal narrow fifth

|-

| 680.448711

| y5, yo 5th

| grave fifth

|-

| 694.243478

| zgg6, zogugu 6th

| marvelous fifth

|-

| 700.001280

| sg6, sagu 6th

| Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)

|-

| 701.955001

| w5, wa 5th

| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente

|-

| 706.717684

| 3o1uuz6, tholuluzo 6th

| tridecimal gentle fifth, {{Monzo|1, 0, 0, 1, -2, 1}}

|-

| 706.880279

| 3u1o5, thulo 5th

| tridecimal gentle fifth, {{Monzo|4, -2, 0, 0, 1, -1}}

|-

| 719.354484

| 1uyy5, luyoyo 5th

| "[[5edo|5-EDO]]"-esque fifth

|-

| 729.219093

| r5, ru 5th

| super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic

|-

| 735.572252

| 17u3o5, sutho 5th

| septendecimal super-fifth

|-

| 737.651813

| zz6, zozo 6th

| superduper fifth, octave-reduced 49th harmonic

|-

| 745.786052

| 3uy5, thuyo 5th

| Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth

|-

| 753.637467

| 17o1u6, solu 6th

| septendecimal subminor sixth

|-

| 764.915905

| z6, zo 6th

| subminor sixth, septimal minor sixth, augmented fifth

|-

| 772.627428

| yy5, yoyo 5th

| pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic

|-

| 782.492036

| 1or5, loru 5th

| undecimal subminor sixth, undecimal augmented fifth

|-

| 786.422194

| zg6, zogu 6th

|  

|-

| 792.179997

| sw6, small wa 6th

|  

|-

| 813.686286

| g6, gu 6th

| minor sixth, octave-reduced 5th subharmonic

|-

| 827.997565

| 59oz6, fifty-nozo 6th

| octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)

|-

| 840.527662

| 3o6, tho 6th

| tridecimal neutral sixth, octave-reduced 13th harmonic

|-

| 848.661901

| rry5, ruruyo aug 5th

| (purple 6th)

|-

| 849.383198

| zzg7, zozogu 7th

| (purple 6th)

|-

| 852.592059

| 1u6, lu 6th

| undecimal neutral sixth

|-

| 863.870497

| 17uz6, suzo 6th

| septendecimal submajor sixth

|-

| 884.358713

| y6, yo 6th

| major sixth

|-

| 898.153480

| zgg7, zogugu 7th

|  

|-

| 905.865003

| w6, wa 6th

| Pythagorean major sixth, octave-reduced 27th harmonic

|-

| 910.790821

| 3u1o6, thulo 6th

| tridecimal major sixth

|-

| 918.641696

| 17og7, sogu 7th

| septendecimal diminished seventh, septendecimal major sixth

|-

| 933.129094

| r6, ru 6th

| supermajor sixth, septimal major sixth, diminished seventh

|-

| 952.258947

| 3og7, thogu 7th

| semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth

|-

| 968.825906

| z7, zo 7th

| subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic

|-

| 976.537429

| Lyy6, large yoyo 6th

| marvel five-limit harmonic seventh, octave-reduced 225th harmonic, {{Monzo|-7, 2, 2}}

|-

| 983.313305

| 17uy6, suyo 6th

| septendecimal minor seventh

|-

| 996.089998

| w7, wa 7th

| Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic

|-

| 1003.801521

| ryy6, ruyoyo 6th

| Middle minor seventh

|-

| 1007.442393

| 19u17o7, nuso 7th

| Quasi-meantone minor seventh

|-

| 1017.596288

| g5, gu 7th

| classic minor seventh, large minor seventh

|-

| 1029.577194

| 29o7, twenty-no 7th

| 29-limit large minor seventh, octave-reduced 29th harmonic

|-

| 1034.995772

| 1uy7, luyo 7th

| undecimal minor seventh, small undecimal neutral seventh

|-

| 1044.860380

| rg7, rugu 7th

|  

|-

| 1049.362941

| 1o7, ilo 7th

| undecimal neutral seventh, 21/4-tone

|-

| 1061.427339

| 3u7, thu 7th

| tridecimal neutral seventh

|-

| 1071.701755

| 3or7, thoru 7th

| 16/3-tone, tridecimal submajor seventh

|-

| 1080.557192

| zg8, zogu octave

| grave major seventh, octave minus a ruyo aug unison

|-

| 1088.268715

| y7, yo 7th

| major seventh, just major seventh, octave-reduced 15th harmonic

|-

| 1095.044590

| 17u7, su 7th

| small septendecimal major seventh, [[octave-reduced]] 17th [[subharmonic]]

|-

| 1101.045408

| 17o8, iso octave

| large septendecimal major seventh

|-

| 1109.775004

| Lw7, large wa 7th

| Pythagorean major seventh, [[octave-reduced]] 243rd harmonic

|-

| 1115.532907

| ry7, ruyo 7th

| acute major seventh

|-

| 1116.884905

| 61o7, sixty-wo 7th

| octave-reduced 61st harmonic

|-

| 1129.327573

| gg8, gugu octave

| octave minus a yoyo augmented unison

|-

| 1137.039096

| r7, ru 7th

|  

|-

| 1145.035572

| 31o7, thirty-wo 7th

| 31-limit ultramajor seventh, octave-reduced 31st harmonic

|-

| 1146.727057

| 1u8, lu octave

| octave-reduced 33rd subharmonic

|-

| 1151.239619

| zy8, zoyo octave

| octave minus a rugu comma

|-

| 1164.303188

| rr7, ruru 7th

|

|-

| 1165.024385

| zzgg9, bizogu 9th

|  

|-

| 1178.493814

| y8, yo octave

| octave minus syntonic comma

|-

| 1200

| w8, wa octave

| [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]

|}

* [http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]]

* [http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]]

* [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]