Gallery of just intervals

See also list of superparticular intervals and List of intervals (Huygens-Fokker foundation)

Frequency Ratio Cents Value
(6 dec. pl.)
Sagittal
notation
Color Name FJS Name Some common names
1/1 0 [note 1]    w1, wa unison P1  [note 2] unity, perfect prime, Tonic, unison
32805/32768 1.953721     Ly-2, Layo comma d-25 schisma ([-15, 8, 1)
256/255 6.775876     17ug1, Sugu comma P185 charisma, charic comma, septendecimal kleisma
225/224 7.711523     ryy-2, Ruyoyo comma d-2257 septimal kleisma, marvel comma ([-5, 2, 2, -1)
126/125 13.794767     zg32, Zotrigu comma d27125 septimal semicomma, starling comma ([1, 2, -3, 1)
100/99 17.399484     1uyy1, Luyoyo comma A12511 Ptolemy's comma, ptolemisma
99/98 17.576131     1orr-2, Loruru comma m-21149 mothwellsma
2048/2025 19.552569     sgg2, Sagugu comma d225 diaschisma ([11, -4, -2)
81/80 21.506286     g1, Gu comma P15 meantone comma, syntonic comma, Didymus comma
531441/524288 23.460010     LLw-2, Lalawa comma d-2 Pythagorean comma, ditonic comma ([-19, 12)
66/65 26.431568     3u1og1, Thulogu comma P11165 winmeanma
65/64 26.841376     3oy1, Thoyo comma P165 wilsorma, 13th-partial chroma
64/63 27.264092     r1, Ru comma P17 septimal comma, Archytas' comma
3125/3072 29.613568     Ly5-2, Laquinyo comma dd-23125 magic comma, small diesis ([-10, -1, 5)
50/49 34.975615     rryy-2, Biruyo comma d-22549 small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
49/48 35.696812     zz2, Zozo comma m249 large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma
45/44 38.905773     1uy1, Luyo comma A1511 undecimal 1/5 tone
128/125 41.058858     g32, Trigu comma d2125 diesis, minor diesis, augmented comma, enharmonic comma ([7, 0, -3)
525/512 43.408335     Lzyy1, Lazoyoyo comma A1175 Avicenna's enharmonic diesis, avicennma ([-9, 1, 2, 1)
1053/1024 48.347665     L3o1, Latho comma P113 tridecimal quartertone, tridecimal flattone comma
36/35 48.770381     rg1, Rugu comma P135 septimal quarter tone, double comma
250/243 49.166137     y31, Triyo comma A1125 porcupine comma ([1, -5, 3)
59049/57344 50.724102     Lr-2, Laru comma d-27 Harrison's comma ([-13, 10, 0, -1)
100/97 52.732017     97uyy1, ninety-suyoyo unison A12597 shrutar quarter tone
33/32 53.272943     1o1, ilo unison P111 undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625 62.565148     g42, quadgu 2nd d2625 diminished comma, major diesis ([8, 4, -4)
28/27 62.960904     z2, zo 2nd m27 small septimal chroma, septimal third-tone, subminor second, septimal minor second
27/26 65.337341     3u1, thu unison A113 small tridecimal third tone
26/25 67.900234     3ogg2, thogugu 2nd d21325 large tridecimal third tone
25/24 70.672427     yy1, yoyo unison A125 chroma, classic chromatic semitone, Zarlinian semitone
24/23 73.680654     23u1, twethu unison m223 lesser vicesimotertial semitone
23/22 76.956405     23o1u2, twetholu 2nd A12311 greater vicesimotertial semitone
68/65 78.114034     17o3ug2, sothugu 2nd m21765 valentine semitone
22/21 80.537035     1or1, loru unison P1117 undecimal minor semitone
64/61 83.115195     61u2, siwu 2nd m261 harry 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
256/243 90.224996     sw2, sawa 2nd m2 Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ([8, -5)
135/128 92.178716     Ly1, layo unison A15 major limma ([-7, 3, 1)
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
2187/2048 113.685006     Lw1, lawa unison A1 apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ([-11, 7)
77/72 116.233847     1oz2, lozo 2nd m277 undecimal secor
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
27/25 133.237575     gg2, gugu 2nd m225 large limma
13/12 138.572661     3o2, tho 2nd m213 tridecimal neutral second, tridecimal 2/3-tone
243/224 140.949098     Lr1, laru unison A17 septimal subtone ([-5, 5, 0, -1)
88/81 143.497939     1o2, ilo 2nd m211 undecimal subtone
25/23 144.353081     23uyy1, twethuyoyo unison M25,523 small vicesimotertial neutral second
49/45 147.428097     zzg3, zozogu 3rd d3495 swetismic neutral second
12/11 150.637059     1u2, lu 2nd M211 small undecimal neutral second, 3/4-tone
35/32 155.139620     zy2, zoyo 2nd M235 septimal neutral second
23/21 157.493440     23or2, twethoru 2nd A1237 large vicesimotertial neutral second
78/71 162.786119     71u3o2, seventy-wutho 2nd m21371 porcupine neutral second
11/10 165.004228     1og2, logu 2nd m2115 undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49 168.213190     rr1, ruru unison A149 Zalzal's mujannab
21/19 173.267891     19uz2, nuzo 2nd M2719 large neutral undevicesimal second
10/9 182.403712     y2, yo 2nd M25 classic (whole) tone, minor (whole) tone
49/44 186.333871     1uzz3, luzozo 3rd m34911 mothwellsmic major second
39/35 187.343042     3org2, thorugu 2nd m21335 animist major second
6272/5625 188.486956     szzg44, sabizogugu 4th ddd449625 double marvelous second, double marvelous (whole) tone
19/17 192.557607     19o17u2, nosu 2nd M21917 quasi-meantone
28/25 196.198479     zgg3, zogugu 3rd d3725 middle major second
55/49 199.979843     1orry1, loruruyo unison A15549 werckismic tone
64/57 200.531983     19u2, inu 2nd M219 quasi-tempered whole tone, octave-reduced 57th subharmonic
9/8 203.910002     w2, wa 2nd M2 Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
26/23 212.253315     23u3o2, twethutho 2nd d31323 vicesimotertial whole tone
17/15 216.686695     17og3, sogu 3rd d3175 septendecimal whole tone, septendecimal eventone
25/22 221.309485     1uyy2, luyoyo 2nd A22511 ptolemismic whole tone, undecimal acute whole tone
729/640 225.416291     Lg2, lagu 2nd M25 acute whole tone
57/50 226.840589     19ogg3, nogugu 3rd d31925 devichromic supermajor second
8/7 231.174094     r2, ru 2nd M27 supermajor second, septimal whole tone, octave-reduced 7th subharmonic
63/55 235.104252     1uzg3, luzogu 3rd m3755 werckismic supermajor second
55/48 235.676655     1oy2, loyo 2nd M255 keenanismic supermajor second
224/195 240.029530     3uzg3, thuzogu 3rd m3765 quasi-tempered 1/5-octave, "5EDO"-esque tone
23/20 241.960633     23og3, twethogu 3rd M2235 vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
15/13 247.741053     3uy2, thuyo 2nd A2513 tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
97/84 249.114503     97or2, ninety-soru 2nd M2977 homothetic semifourth
81/70 252.268038     rg2, rugu 2nd M235 septimal semi-augmented second, septimal ultramajor second
22/19 253.804926     19u1o2, nulo 2nd M21119 undevicesimal semifourth, minimal minor third, godzilla semifourth
64/55 262.368344     1ug3, lugu 3rd m355 keenanismic subminor third, octave-reduced 55th subharmonic
7/6 266.870906     z3, zo 3rd m37 subminor third, septimal minor third
90/77 270.079867     1ury2, luruyo 2nd A2577 swetismic subminor third
62/53 271.531027     53u31o2, fithu-thiwo 2nd M23153 orwell subminor third
75/64 274.582429     yy2, yoyo 2nd A225 classic augmented second
27/23 277.590655     twethu 2nd, 23u2 m323 vicesimotertial augmented second
20/17 281.358304     17uy2, suyo 2nd A2517 septendecimal augmented second, septendecimal minor third, diatismic minor third
13/11 289.209719     3o1u3, tholu 3rd m31311 tridecimal minor third
45/38 292.710699     19uy2, nuyo 2nd A2519 Eratosthenes' minor third
32/27 294.134997     w3, wa 3rd m3 Pythagorean minor third, octave-reduced 27th subharmonic
19/16 297.513016     19o3, ino 3rd m319 otonal minor third, octave-reduced 19th harmonic
289/243 300.135815     17oo4, soso 4th dd417, 17 semitonismic quasi-tempered minor third
25/21 301.846520     ryy2, ruyoyo 2nd A2257 quasi-tempered minor third
61/51 309.974395     61o17u2, siwosu 2nd A26117 myna third
6/5 315.641287     g3, gu 3rd m35 classic minor third, just minor third
77/64 320.143849     1oz3, lozo 3rd m377 keenanismic minor third, octave-reduced 77th harmonic
135/112 323.352810     ry2, ruyo 2nd A257 large septimal minor third, marvelous minor third ([-4, 3, 1, -1)
35/29 325.562426     29uzy3, twenuzoyo 3rd M33529 doublewide minor third
23/19 330.761331     23o19u3, twethonu 3rd A22319 vicesimotertial supraminor third
17/14 336.129503     17or3, soru 3rd m3175 septendecimal supraminor third
175/144 337.54333     zyy3, zoyoyo 3rd M35,5,7 keemic minor third
73/60 339.520756     73og3, seventy-thogu 3rd m3735 amity supraminor third
28/23 340.551559     23uz3, twethuzo 3rd d4723 vicesimotertial neutral third
39/32 342.482663     3o3, tho 3rd m313 lesser tridecimal neutral third, octave-reduced 39th harmonic
128/105 342.905379     rg3, rugu 3rd m335 quasi-tempered 2/7-octave, 105th subharmonic
625/512 345.254855     Ly42, laquadyo 2nd AA2625 5-limit neutral third ([-9, 0, 4)
11/9 347.407941     1o3, ilo 3rd m311 undecimal neutral third
60/49 350.616902     rry2, ruruyo 2nd A2549 smaller septimal neutral third, (purple 3rd)
49/40 351.338099     zzg4, zozogu 4th d4495 larger septimal neutral third, (purple 3rd)
27/22 354.547060     1u3, lu 3rd M311 rastmic neutral third
16/13 359.472338     3u3, thu 3rd M313 greater tridecimal neutral third, octave reduced 13subharmonic
21/17 365.825498     17uz3, suzo 3rd M3717 septendecimal submajor third
26/21 369.746754     thoru 3rd, 3or3 m3137 tridecimal submajor third
51/41 377.848005     41u17o4, fowuso 4th d41741
56/45 378.602191     zg4, zogu 4th d475 narrow perde segah, marvelous major third
71/57 380.228526     71o19u3, seventy-wonu 3rd M37119 witchcraft major third
76/61 380.628211     61u19o4, siwuno 4th d41961 magic major third
96/77 381.811152     1ur3, luru 3rd M377 undecimal perde segah, keenanismic major third
5/4 386.313714     y3, yo 3rd M35 classic major third, just major third, octave-reduced 5th harmonic
44/35 396.178322     1org3, lorugu 3rd n3115,7 fwiwismic major third
161/128 397.100254     23oz4, twethozo 4th M3161 just/Pythagorean major third meantone, octave-reduced 161th harmonic
34/27 399.090407     17o4, iso 4th d417 septendecimal quasi-tempered major third
63/50 400.108480     zgg4, zogugu 4th d4725 quasi-tempered major third
24/19 404.441985     19u3, inu 3rd M319 Boethius' major third
81/64 407.820003     Lw3, lawa 3rd M3 Pythagorean major third, octave-reduced 81st harmonic
19/15 409.244301     19og4, nogu 4th d4195 Eratosthenes' major third
33/26 412.745281     3u1o3, thulo 3rd M31113 tridecimal major third
80/63 413.577806     ry3, ruyo 3rd M357 5/7-kleismic major third
14/11 417.507964     1uz4, luzo 4th P4711 undecimal major third, undecimal diminished fourth
23/18 424.364346     23o4, twetho 4th M323 vicesimotertial diminished fourth
32/25 427.372572     gg4, gugu 4th d425 classic diminished fourth
41/32 429.062406     41o3, fowo 3rd M341 octave-reduced 41st harmonic, quadracesimoprimal supermajor third
77/60 431.875134     1ozg4, lozogu 4th d4775 swetismic supermajor third
9/7 435.084095     r3, ru 3rd M37 supermajor third, septimal major third
31/24 443.080572     31o3, thiwo 3rd M331 sensi supermajor third
22/17 446.362533     17u1o3, sulo 3rd M31117 septendecimal supermajor third
35/27 449.274618     zy4, zoyo 4th P435 septimal semidiminished fourth
83/64 450.047318     83o4 P483 octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
13/10 454.213948     3og4, thogu 4th d4135 tridecimal semisixth, Barbados third, tridecimal 9/4 tone
30/23 459.994368     23uy3, twethuyo 3rd P4523 vicesimotertial ultramajor third
64/49 462.348187     rr3, ruru 3rd M349 septatonic major third
17/13 464.427748     17o3u4, sothu 4th P41713 septendecimal sub-fourth
21/16 470.780907     z4, zo 4th P47 sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
25/19 475.114412     19uyy3, nuyoyo 3rd A35,519 undevicesimal augmented third, undevicesimal grave fourth
95/72 479.916728     19oy4, noyo 4th P45,19 undevicesimal quasi-tempered 2/5-octave, undevicesimal "5EDO"-esque fourth
128/97 480.104589     97u4 P497 nonacesimoseptimal subharmonic fourth
33/25 480.645516     1ogg4, logugu 4th d41125 ptolemismic fourth, "5EDO"-esque fourth
160/121 483.677829     1uuy4, luluyo 4th A4511,11 narrow biyatismic fourth
324/245 483.854477     rrg3, rurugu 3rd M35,7,7 sensamagic fourth
85/64 491.269123     17oy4, soyo 4th P485 archagall fourth, septendecimal harmonic fourth
117/88 493.119721     3o1u4, tholu 4th P41311 minthmic fourth ([-3, 2, 0, 0, -1, 1)
4/3 498.044999     w4, wa 4th P4 just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
171/128 501.423018     19o4, ino 4th P419 undevicesimal harmonic fourth
75/56 505.756522     ryy3, ruyoyo 3rd A3257 marvelous fourth
121/90 512.412169     1oog4, lologu 4th d411,115 wide biyatismic fourth
35/26 514.611959     3uzy4, thuzoyo 4th A45,713 animist fourth
128/95 516.173270     19ug4, nugu 4th P45,19 undevicesimal subharmonic fourth
27/20 519.551289     g4, gu 4th P45 acute fourth, wolf fourth
875/648 519.947045     zy34, zotriyo 4th A45,5,5,7 maviloid generator superfourth
23/17 523.318938     23o17u4, twethosu 4th A32317 vicesimotertial acute fourth
19/14 528.687110     19or4, noru 4th P4197 hendrix fourth
34/25 532.327982     17ogg5, sogugu 5th dd5175,5 vengeance superfourth
49/36 533.741811     zz5, zozo 5th d549 Arabic lute acute fourth
15/11 536.950772     1uy4, luyo 4th A4511 sub-augmented fourth, undecimal augmented fourth
26/19 543.014646     19u3o4, nutho 4th P41319 undevicesimal super-fourth
48/35 546.815381     rg4, rugu 4th P435 septimal super-fourth
11/8 551.317942     1o4, ilo 4th P411 super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa
18/13 563.382340     3u4, thu 4th A413 tridecimal augmented fourth
25/18 568.717426     yy4, yoyo 4th A425 classic augmented fourth, pental augmented fourth ([-1 -2 2)
32/23 571.725653     23u4, twethu 4th d523 vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
88/63 578.582034     1or4, loru 4th P4117 pentacircle diminished fifth
7/5 582.512193     zg5, zogu 5th d575 augmented fourth, septimal tritone, Huygen's tritone
108/77 585.721154     1ur4, luru 4th A477 swetismic augmented fourth ([2, 3, 0, -1, -1)
1024/729 588.269995     sw5, sawa 5th d5 Pytharogean diminished fifth
45/32 590.223716     y4, yo 4th A45 smaller pental tritone, diatonic tritone ([-5 2 1)
128/91 590.646432     3ur4, thuru 4th A491 smaller huntmic tritone, 91st subharmonic
38/27 591.648014     ino 5th, 19o5 d519 smaller undevicesimal tritone
55/39 595.148994     3u1oy4, thuloyo 4th A45513 smaller gassormic tritone
24/17 596.999591     17u4, su 4th A417 smaller septendecimal tritone
181/128 599.815064     181o4 A4181 octave-reduced 181st harmonic, otonal quasi-tempered tritone
99/70 600.088324     1org4, lorugu 4th P41135 homothetic quasi-tempered tritone
256/181 600.184936     181u5 d5181 octave-reduced 181st subharmonic, utonal quasi-tempered tritone
17/12 603.000409     17o5, iso 5th d517 larger septendecimal tritone
78/55 604.851006     3o1ug5, tholugu 5th d51355 larger gassormic tritone
27/19 608.351987     inu 4th, 19u4 A419 larger undevicesimal tritone
91/64 609.353568     3oz5, thozo 5th d591 larger huntmic tritone, octave-reduced 91st harmonic
64/45 609.776284     g5, gu 5th d55 larger pental tritone, diatonic tritone ([6 -2 -1)
729/512 611.730005     Lw4, lawa 4th A4 Pythagorean tritone
10/7 617.487807     ry4, ruyo 4th A457 diminished fifth, Euler's tritone, superaugmented fourth
23/16 628.274347     23o5, twetho 5th A423 vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
36/25 631.282574     gg5, gugu 5th d525 pental diminished fifth, classic diminshed fifth ([2 2 -2)
13/9 636.617660     3o5, tho 5th d513 tridecimal diminished fifth
16/11 648.682058     1u5, lu 5th P511 sub-fifth, paraminor fifth, octave-reduced 11th subharmonic
35/24 653.184619     zy5, zoyo 5th P535 septimal sub-fifth
19/13 656.985354     19o3u5, nothu 5th P51913 undevicesimal sub-fifth
22/15 663.049228     1og5, logu 5th d5115 undecimal diminished fifth, semidiminished fifth
72/49 666.258889     rr4, ruru 4th A449 septimal catafifth
25/17 667.672018     17uyy4, suyoyo 4th AA45,517 vengeance subfifth
81/55 670.188347     1ug5, lugu 5th P555 undecimal catafifth
28/19 671.312890     19uz5, nuzo 5th P5719 hendrix fifth
34/23 676.681062     23u17o5, twethuso 5th d61723 vicesimotertial grave fifth
262144/177147 678.494990     sasawa 6th, ssw6 d6 Pythagorean wolf fifth
40/27 680.448711     y5, yo 5th P55 grave fifth
95/64 683.826730     19oy5, noyo 5th P55,19 undevicesimal harmonic fifth
52/35 685.388041     3org5, thorugu 5th d51335 animist fifth
180/121 687.587831     1uuy5, luluyo 5th A5511,11 narrow biyatismic fifth
112/75 694.243478     zgg6, zogugu 6th d6725 marvelous fifth
121/81 694.815881     1oo5, lolo 5th d511,11 rastmic fifth, Alpharabian narrow fifth
323/216 696.603423     19o17o6, noso 6th d617,19 undevicesimal meantone fifth
256/171 698.576982     19u5, inu 5th P519 undevicesimal subharmonic fifth
16384/10935 700.001280     sg6, sagu 6th d65 Kirnberger's fifth ("12-EDO"-esque fifth)
3/2 701.955001     w5, wa 5th P5 just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121 706.717684     3o1uuz6, tholuluzo 6th m67,1311,11 tridecimal gentle fifth ([1, 0, 0, 1, -2, 1)
176/117 706.880279     3u1o5, thulo 5th P51113 minthmic fifth ([4, -2, 0, 0, 1, -1)
128/85 708.730877     17ug5, sugu 5th P585 archagall fifth, septendecimal subharmonic fifth
245/162 716.145523     zzy6, zozoyo 6th m65,7,7 sensamagic fifth
121/80 716.322171     1oog5, lologu 5th d51215 wide biyatismic fifth
50/33 719.354484     1uyy5, luyoyo 5th A52511 ptolemismic fifth, "5EDO"-esque fifth
97/64 719.895411     97o5 P597 nonacesimoseptimal harmonic fifth
144/95 720.083272     19ug5, nugu 5th P55,19 undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth
38/25 724.885588     19ogg6, nogugu 6th d6195,5 undevicesimal diminished sixth, undevicesimal acute fifth
32/21 729.219093     r5, ru 5th P57 super-fifth, wide fifth, octave-reduced 21st subharmonic
26/17 735.572252     17u3o5, sutho 5th P51317 septendecimal super-fifth
49/32 737.651813     zz6, zozo 6th m649 superduper fifth, octave-reduced 49th harmonic
23/15 740.005633     23og6, twethogu 6th P5235 vicesimotertial ultraminor sixth
20/13 745.786052     3uy5, thuyo 5th A5513 tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
128/83 749.952682     83u5 P583 83rd subharmonic, octacesimotertial subharmonic semitenth
17/11 753.637467     17o1u6, solu 6th m61711 septendecimal subminor sixth
14/9 764.915905     z6, zo 6th m67 subminor sixth, septimal minor sixth
25/16 772.627428     yy5, yoyo 5th A525 pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
36/23 775.635654     23u5, twethu 5th m623 vicesimotertial augmented fifth
11/7 782.492036     1or5, loru 5th P5117 undecimal subminor sixth, undecimal augmented fifth
63/40 786.422194     zg6, zogu 6th m675 narrow minor sixth
52/33 787.254719     3o1u6, tholu 6th m61311 tridecimal minor sixth
30/19 790.755699     19uy5, nuyo 5th A5519 small undevicesimal minor sixth, Eratosthenes' minor sixth
128/81 792.179997     sw6, sawa 6th m6 Pythagorean minor sixth, octave-reduced 81st subharmonic
19/12 795.558015     19o6, ino 6th m619 large undevicesimal minor sixth, Boethius' minor sixth
27/17 800.909593     17u5, su 5th A517 septendecimal quasi-tempered minor sixth
35/22 803.821678     1uzy6, luzoyo 6th n65,711 fwiwismic minor sixth
8/5 813.686286     g6, gu 6th m65 classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
21/13 830.253246     3uz6, thuzo 6th M6713 tridecimal supraminor sixth
34/21 834.174502     17or6, soru 6th m6177 septendecimal supraminor sixth
13/8 840.527662     3o6, tho 6th m613 lesser tridecimal neutral sixth, octave-reduced 13th harmonic
80/49 848.661901     rry5, ruruyo aug 5th A5549 (purple 6th)
49/30 849.383198     zzg7, zozogu 7th d7495 (purple 6th)
18/11 852.592059     1u6, lu 6th M611 undecimal neutral sixth
105/64 857.094621     zy6, zoyo 6th M635 quasi-tempered 5/7-octave, octave-reduced 105th harmonic
23/14 859.448441     23or6, twethoru 6th A5237 vicesimotertial neutral sixth
28/17 863.870497     17uz6, suzo 6th M6717 septendecimal submajor sixth
38/23 869.238669     23u19o6, twethuno 6th d71923 vicesimotertial submajor sixth
5/3 884.358713     y6, yo 6th M65 classic major sixth, just major sixth
42/25 898.153480     zgg7, zogugu 7th d7725 quasi-tempered major sixth
486/289 899.864185     17uu5, susu 5th AA517, 17 semitonismic quasi-tempered major sixth
32/19 902.486984     19u6, inu 6th M619 utonal major sixth, octave-reduced 19th subharmonic
27/16 905.865003     w6, wa 6th M6 Pythagorean major sixth, octave-reduced 27th harmonic
76/45 907.289301     19og7, nogu 7th d7195 Eratosthenes' major sixth
22/13 910.790821     3u1o6, thulo 6th M61113 tridecimal major sixth
17/10 918.641696     17og7, sogu 7th d7175 septendecimal diminished seventh, septendecimal major sixth, diatismic major sixth
46/27 922.409345     twetho 7th, 23o7 M623 vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
12/7 933.129094     r6, ru 6th M67 supermajor sixth, septimal major sixth
55/32 937.631656     1oy6, loyo 6th M655 keenanismic supermajor sixth, octave-reduced 55th harmonic
19/11 946.195074     19o1u7, nolu 7th m71911 undevicesimal semitwelfth, maximal major sixth
140/81 947.319617     zy7, zoyo 7th m735 septimal semidiminished seventh, septimal inframinor seventh
97/56 951.069504     97or6, ninety-soru 6th M6977 homothetic semitwelth
26/15 952.258947     3og7, thogu 7th d7135 tridecimal semitwelfth
40/23 958.039367     23uy6, twethuyo 6th m7523 vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
7/4 968.825906     z7, zo 7th m77 subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
225/128 976.537429     Lyy6, layoyo 6th A625 marvel five-limit harmonic seventh, octave-reduced 225th harmonic ([-7, 2, 2)
44/25 978.690515     1ogg7, logugu 7th d7115,5 ptolemismic minor seventh, undecimal grave minor seventh
30/17 983.313305     17uy6, suyo 6th A6517 septendecimal minor seventh
23/13 987.746686     23o3u7, twethothu 7th A62313 vicesimotertial minor seventh
71/40 993.382830     71oy7 m7715 harmonic/just minor seventh meantone
16/9 996.089998     w7, wa 7th m7 Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
57/32 999.468017     19o7, ino 7th m719 quasi-tempered minor seventh, octave-reduced 57th harmonic
25/14 1003.801521     ryy6, ruyoyo 6th A6257 middle minor seventh
34/19 1007.442393     19u17o7, nuso 7th m71719 quasi-meantone minor seventh
9/5 1017.596288     g5, gu 7th m75 classic minor seventh, large minor seventh
38/21 1026.732109     19or7, noru 7th m7197 minor neutral undevicesimal seventh
29/16 1029.577194     29o7, tweno 7th m729 vicesimononal supraminor seventh, octave-reduced 29th harmonic
20/11 1034.995772     1uy7, luyo 7th M7511 undecimal supraminor seventh, small undecimal neutral seventh
42/23 1042.506560     23uz7, twethuzo 7th d8723 small vicesimotertial neutral seventh
64/35 1044.860380     rg7, rugu 7th m735 septimal neutral seventh
11/6 1049.362941     1o7, ilo 7th m711 undecimal neutral seventh, 21/4-tone
46/25 1055.646920     twethogugu octave, 23ogg8 m7235,5 large vicesimotertial neutral seventh
24/13 1061.427339     3u7, thu 7th M713 tridecimal neutral seventh
50/27 1066.762425     yoyo 7th, yy7 M75,5 grave major seventh
13/7 1071.701755     3or7, thoru 7th m7137 tridecimal submajor seventh, 16/3-tone
28/15 1080.557192     zg8, zogu octave d875 grave major seventh, octave minus a ruyo aug unison
15/8 1088.268715     y7, yo 7th M75 classic major seventh, just major seventh, octave-reduced 15th harmonic
32/17 1095.044590     17u7, su 7th M717 septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), octave-reduced 17th subharmonic
17/9 1101.045408     17o8, iso octave d817 septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
36/19 1106.396986     19u7, inu 7th M719 undevicesimal major seventh, Boethius' major seventh
243/128 1109.775004     Lw7, lawa 7th M7 Pythagorean major seventh, octave-reduced 243rd harmonic
19/10 1111.199302     19og8, nogu 8ve d8195 undevicesimal diminished octave, Eratosthenes' major seventh
40/21 1115.532907     ry7, ruyo 7th M757 septimal acute major seventh
61/32 1116.884905     61o7, siwo 7th M761 octave-reduced 61st harmonic
21/11 1119.462965     1uz8, luzo 8ve P8711 large undecimal diminished octave, undecimal major seventh
44/23 1123.043595     23u1o7, twethulo 7th d81123 small vicesimotertial major seventh
23/12 1126.319346     23o8, twetho 8ve M723 large vicesimotertial major seventh
48/25 1129.327573     gg8, gugu octave d825 classic diminished octave
25/13 1132.099766     3uyy7, thuyoyo 7th A75,513 lesser tridecimal diminished octave
27/14 1137.039096     r7, ru 7th M77 supermajor seventh, septimal major seventh
31/16 1145.035572     31o7, thiwo 7th M731 tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
64/33 1146.727057     1u8, lu octave P811 undecimal semidiminished octave, octave-reduced 33rd subharmonic
35/18 1151.239619     zy8, zoyo octave P835 septimal semidiminished octave
96/49 1164.303188     rr7, ruru 7th M749 septimal ultramajor seventh
49/25 1165.024385     zzgg9, bizogu 9th d94925 BP eighth
63/32 1172.735908     z8, zo octave P87 septimal suboctave, octave-reduced 63rd harmonic
160/81 1178.493814     y8, yo octave P85 syntonic suboctave
255/128 1193.224124     17oy8, soyo octave P885 charismic suboctave, octave-reduced 255th harmonic
2/1 1200     w8, wa octave P8 octave, diapason

Notes

  1. The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead indicates exact notation while black indicates approximate (typically within 2 ¢).
  2. If any FJS names are missing, please add them.

Intervals larger than an octave

Frequency Ratio Cents Value
(3 dec. pl.)
Sagittal
notation
Color Name FJS Name Some common names
27/13 1265.337 [note 1]      3u8 thu8ve     [note 2] A813[note 3] Luxembourg eighth
23/11 1276.956     23o1u9 twetholu 9th A82311 vicesimotertial minor ninth
19/9 1293.603     19o9 ino 9th m919 undevicesimal minor ninth
17/8 1304.955     17o9 iso 9th m917 septendecimal minor ninth
32/15 1311.731     g9 gu 9th m95 classic minor ninth
15/7 1319.443     ry8 ruyo 8ve A857 septimal minor ninth
13/6 1338.573     3o9 tho 9th m913 tridecimal minor ninth, tridecimal neutral ninth
11/5 1365.004     1o9 ilo 9th m9115 neutral ninth
20/9 1382.404     y9 yo 9th M95 Ptolemaic ninth
9/4 1403.910     w9 wa 9th M9 major ninth
25/11 1421.309     1uyy9 luyoyo 9th A92511 undecimal major ninth
16/7 1431.174     r9 ru 9th M97 septimal major ninth
7/3 1466.871 ??nt?hf    z10 zo 10th m107 septimal minor tenth
19/8 1497.513 ??nt?hf    19o3 ino 10th undevicesimal minor tenth
12/5 1515.641 ??nt?hf    g10 gu 10th m105 classic minor tenth
17/7 1536.130 ??nt?hf    17or10 soru 10th m10177 septendecimal minor tenth
27/11 1554.547 ??nt?hf    c1u3 colu 3rd M1011 rastmic neutral tenth
5/2 1586.314 ??nt?hf    y10 yo 10th M105 classic major tenth
18/7 1635.084 ??nt?hf    r10 ru 10th septimal supermajor tenth
13/5 1654.214 ??nt?hf    3og11 thogu 11th d11135 tridecimal eleventh
21/8 1670.781 ??nt?hf    z11 zo 11th septimal subeleventh
8/3 1698.045 ??nt?hf    w11, cw4 wa 11th, cowa 4th P11 perfect eleventh
19/7 1728.687 ??nt?hf    19or11 noru 11th undevicesimal supereleventh
11/4 1751.318 ??nt?hf    1o11, c1o4 ilo 11th, colo 4th P1111 undecimal semi-augmented eleventh
14/5 1782.512 ??nt?hf    zg12, czg5 zogu 12th, cozogu 5th d1275 short septimal navatone
17/6 1803.000 ??nt?hf    17o12 iso 12th d1217 septendecimal navatone
20/7 1817.488 ??nt?hf    ry11 ruyo 11th A1157 tall septimal navatone
23/8 1828.274 ??nt?hf    23o12 twetho 12th A1123 trivigintal navatone
35/12 1853.185 ??nt?hf    zy12, czy5 zoyo 12th, cozoyo 5th septimal semi-diminished twelfth
3/1 1901.955 ??nt?hf    w12, cw5 wa 12th, cowa 5th P12 3rd harmonic, perfect twelfth, tritave
28/9 1964.916 ??nt?hf    z13, cz6 zo 13th, cozo 6th septimal subminor thirteenth
19/6 1995.558 ??nt?hf    19o13, c19o6 ino 13th, cono 6th undevicesimal minor thirteenth
16/5 2013.686 ??nt?hf    g13, cg6 gu 13th, cogu 6th m135 classic minor thirteenth
13/4 2040.528 ??nt?hf    3o13, c3o6 tho 13th, cotho 6th m1313 tridecimal neutral thirteenth
23/7 2059.448 ??nt?hf    c23or13, c23or6 cotwethoru 6th trivigintal neutral/submajor thirteenth
10/3 2084.359 ??nt?hf    y13, cy6 yo 13th, coyo 6th M135 just/classic(al)/ptolemaic major thirteenth
17/5 2118.642 ??nt?hf    c17og7 cosogu 7th d14175 septendecimal major thirteenth
24/7 2133.129 ??nt?hf    r13, cr6 ru 13th, coru 6th septimal supermajor thirteenth
7/2 2168.826 ??nt?hf    cz7 cozo 7th m147 harmonic fourteenth
32/9 2196.090 ??nt?hf    cw7 cowa 7th 3-limit minor fourteenth
18/5 2217.596 ??nt?hf    cg7 cogu 7th m145 5-limit minor fourteenth
11/3 2249.363 ??nt?hf    c1o7 colo 7th m1411 undecimal neutral fourteenth
15/4 2288.269 ??nt?hf    cy7 coyo 7th M145 just/classic(al)/ptolemaic major fourteenth
19/5 2311.199 ??nt?hf    c19og8 nogu double 8ve undevicesimal major fourteenth
35/9 2351.230 ??nt?hf    czy8 zoyo double 8ve septimal semi-augmented fourteenth
4/1 2400.000 ??nt?hf    cw8, ccw1 wa double 8ve P15 4th harmonic, two octaves, just double octave
81/20 2421.506 ??nt?hf    cg8, ccg1 gu double 8ve P155 syntonic double octave
25/6 2470.672 ??nt?hf    cyy8, ccyy1 yoyo double 8ve classic chromatic minor sixteenth
17/4 2504.955 ??nt?hf    c17o9, cc17o2 coso 9th, cocoso 2nd m1617 septendecimal minor sixteenth
64/15 2511.731 ??nt?hf    cg9, ccg2 cogu 9th, cocogu 2nd m165 classic minor sixteenth
13/3 2538.573 ??nt?hf    c3o9, cc3o2 cotho 9th, cocotho 2nd m1613 tridecimal minor sixteenth
22/5 2565.004 ??nt?hf    c1og9, cc1og2 coco-logu 2nd large undecimal neutral sixteenth
9/2 2603.910 ??nt?hf    cw9, ccw2 cowa 9th, cocowa 2nd M16 classic large major sixteenth
23/5 2641.961 ??nt?hf    cc23og3 coco-twethogu 3rd trivigintal supermajor sixteenth
14/3 2666.871 ??nt?hf    ccz3 cocozo 3rd m177 septimal subminor seventeenth
19/4 2696.513 ??nt?hf    cc19o3 cocono 3rd undevicesimal minor seventeenth
24/5 2715.641 ??nt?hf    ccg3 cocogu 3rd classic minor seventeenth
44/9 2747.408 ??nt?hf    cc1o3 cocolo 3rd undecimal neutral seventeenth
5/1 2786.314 ??nt?hf    ccy3 cocoyo 3rd M175 5th harmonic, pentave
36/7 2835.084 ??nt?hf    ccr3 cocoru 3rd septimal supermajor seventeenth
21/4 2870.781 ??nt?hf    ccz4 cocozo 4th septimal subeighteenth
16/3 2898.045 ??nt?hf    ccw4 cocowa 4th P18 perfect eighteenth
27/5 2919.551 ??nt?hf    ccg4 cocogu 4th 5-limit supereighteenth
11/2 2951.318 ??nt?hf    cc1o4 cocolo 4th P1811 undecimal semi-augmented eighteenth
28/5 2982.512 ??nt?hf    cczg5 coco-zogu 5th d1975 short septimal panchadashatone
45/8 2990.224 ??nt?hf    ccy4 cocoyo 4th A185 quinquadragintimal panchadashatone
17/3 3003.000 ??nt?hf    cc17o5 cocoso 5th d1917 septendecimal panchadasatone
40/7 3017.488 ??nt?hf    ccry4 coco-ruyo 4th A1857 tall septimal panchadashatone
23/4 3028.274 ??nt?hf    cc23o5 coco-twetho 5th vicesimotertial panchadashatone
35/6 3053.185 ??nt?hf    cczy5 coco-zoyo 5th septimal semi-diminished nineteenth
6/1 3101.955 ??nt?hf    ccw5 cocowa 5th P19 6th harmonic
55/9 3133.722 ??nt?hf    cc1og5 coco-logu 5th undecimal superninteenth
25/4 3172.627 ??nt?hf    ccyy5 coco-yoyo 5th 5-limit subminor twentieth
19/3 3195.558 ??nt?hf    cc19o6 cocono 6th undevicesimal minor twentieth
32/5 3213.686 ??nt?hf    ccg6 cocogu 6th classic minor twentieth
13/2 3240.528 ??nt?hf    cc3o6 cocotho 6th m2013 tridecimal neutral twentieth
20/3 3284.359 ??nt?hf    ccy6 cocoyo 6th classic major twentieth
48/7 3333.129 ??nt?hf    ccr6 cocoru 6th septimal supermajor twentieth
7/1 3368.826 ??nt?hf    ccz7 cocozo 7th m217 7th harmonic
36/5 3417.596 ??nt?hf    ccg7 cocogu 7th 5-limit minor twentyfirst
22/3 3449.363 ??nt?hf    cc1o7 cocolo 7th undecimal neutral twentyfirst
15/2 3488.269 ??nt?hf    ccy7 cocoyo 7th M215 just/classic(al)/ptolemaic major twentyfirst
23/3 3526.319 ??nt?hf    c323o1 twetho triple 8ve vicesimotertial supermajor twentyfirst
31/4 3545.036 ??nt?hf    c331o1 thiwo triple 8ve 31-limit semi-augmented twentyfirst
8/1 3600.000 ??nt?hf    c3w1 wa triple 8ve P22 8th harmonic, three octaves
33/4 3653.273 ??nt?hf    c31o1 ilo triple 8ve undecimal semi-diminished twentythird
25/3 3670.672 ??nt?hf    c3yy1 yoyo triple 8ve classic chromatic twentythird
17/2 3704.955 ??nt?hf    c317o2 tricoso 2nd septendecimal minor twentythird
128/15 3711.731 ??nt?hf    c3g2 tricogu 2nd m235 classic minor twenty-third
26/3 3738.573 ??nt?hf    c33o2 tricotho 2nd tridecimal neutral twentythird
35/4 3755.140 ??nt?hf    c3zy2 trico-zoyo 2nd septimal neutral twentythird
9/1 3803.910 ??nt?hf    c3w2 tricowa 2nd M23 9th harmonic
10/1 3986.314 ??nt?hf    c3y3 tricoyo 3rd M245 10th harmonic, decade
11/1 4151.318 ??nt?hf    c31o4 tricolo 4th P2511 11th harmonic
12/1 4301.955 ??nt?hf    c3w5 tricowa 5th P26 12th harmonic
13/1 4440.528 ??nt?hf    c33o6 tricotho 6th m2713 13th harmonic
14/1 4568.826 ??nt?hf    c3z7 tricozo 7th m287 14th harmonic
15/1 4688.269 ??nt?hf    c3y7 tricoyo 7th M285 15th harmonic
16/1 4800.000 ??nt?hf    c4w1 wa quadruple 8ve P29 16th harmonic, four octaves
17/1 4904.955 ??nt?hf    c417o2 quadcoso 2nd m3017 17th harmonic
256/15 4911.731 ??nt?hf    c4g2 quadcogu 2nd m305 classic minor thirtieth
18/1 5004.910 ??nt?hf    c4w2 quadcowa 2nd M30 18th harmonic
19/1 5097.513 ??nt?hf    c419o3 quadcono 3rd m3119 19th harmonic
20/1 5186.314 ??nt?hf    c4y3 quadcoyo 3rd M315 20th harmonic
21/1 5270.781 ??nt?hf    c4z4 quadcozo 4th P327 21st harmonic
22/1 5351.318 ??nt?hf    c41o4 quadcolo 4th P3211 22nd harmonic
23/1 5428.274 ??nt?hf    c423o5 quadco-twetho 5th A3223 23rd harmonic
24/1 5501.955 ??nt?hf    c4w5 quadcowa 5th P33 24th harmonic
25/1 5572.617 ??nt?hf    c4yy5 quadco-yoyo 5th A335,5 25th harmonic
27/1 5705.865 ??nt?hf    c4w6 quadcowa 6th M34 27th harmonic
29/1 5829.577 ??nt?hf    c429o7 quadco-tweno 7th m3529 29th harmonic
31/1 5945.036 ??nt?hf    c431o7 quadco-thiwo 7th M3531 31st harmonic
49/1 6737.652 ??nt?hf    c5zz6 quinco-zozo 6th M417,7 49th harmonic

Notes

  1. The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead indicates exact notation while black indicates approximate (typically within 2 ¢).
  2. In the color names, "co" or "c" stands for compound, a conventional music term.
  3. If any FJS names are missing, please add them.