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)]

|-

! Frequency Ratio

! [[Functional Just System|FJS Name]]

! class="unsortable" | Some common names

|-

| [[1/1]]

| w1, wa unison

| unity, perfect prime, Tonic, unison

|-

| [[32805/32768]]

| 1.953721

| d-2⁵

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

| [[256/255]]

| 6.775876

| P1₈₅

| charisma, charic comma, septendecimal kleisma

| [[225/224]]

| 7.711523

| d-2²⁵₇

| septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}})

|-

| [[126/125]]

| d2⁷₁₂₅

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

|-

| [[100/99]]

| A1²⁵₁₁

| Ptolemy's comma, ptolemisma

|-

| [[99/98]]

| m-2¹¹₄₉

| mothwellsma

|-

| [[2048/2025]]

| d2₂₅

| diaschisma ({{Monzo|11, -4, -2}})

|-

| [[81/80]]

| P1₅

| meantone comma, syntonic comma, Didymus comma

|-

| [[531441/524288]]

| d-2

| Pythagorean comma, ditonic comma ({{Monzo|-19, 12}})

|-

| [[66/65]]

| P1¹¹₆₅

| winmeanma

|-

| [[65/64]]

| P1⁶⁵

| wilsorma, 13th-partial chroma

|-

| [[64/63]]

| P1₇

| septimal comma, Archytas' comma

|-

| [[3125/3072]]

| dd-2³¹²⁵

| magic comma, small diesis ({{Monzo|-10, -1, 5}})

|-

| [[50/49]]

| d-2²⁵₄₉

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

|-

| [[49/48]]

| m2⁴⁹

| large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma

|-

| [[45/44]]

| A1⁵₁₁

| undecimal 1/5 tone

|-

| [[128/125]]

| d2₁₂₅

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

|-

| [[525/512]]

| A1¹⁷⁵

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

|-

| [[1053/1024]]

| P1¹³

| tridecimal quartertone, tridecimal flattone comma

|-

| [[36/35]]

| P1₃₅

| septimal quarter tone, double comma

|-

| [[250/243]]

| A1¹²⁵

| porcupine comma ({{Monzo|1, -5, 3}})

|-

| [[59049/57344]]

| d-2₇

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

|-

| [[100/97]]

| 97uyy1, ninety-suyoyo unison

| A1²⁵₉₇

|-

| [[33/32]]

| 1o1, ilo unison

| P1¹¹

|-

| [[648/625]]

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

| d2₆₂₅

|-

| [[28/27]]

| z2, zo 2nd

| m2⁷

|-

| [[27/26]]

| 3u1, thu unison

| A1₁₃

|-

| [[26/25]]

| 3ogg2, thogugu 2nd

| d2¹³₂₅

|-

| [[25/24]]

| yy1, yoyo unison

| A1²⁵

|-

| [[24/23]]

| 23u1, twethu unison

| m2₂₃

|-

|[[23/22]]

|23o1u2, twetholu 2nd

|A1²³₁₁

|-

| [[68/65]]

| 17o3ug2, sothugu 2nd

| m2¹⁷₆₅

|-

| [[22/21]]

| 1or1, loru unison

| P1¹¹₇

|-

| [[64/61]]

| 61u2, siwu 2nd

| m2₆₁

|-

| [[21/20]]

| zg2, zogu 2nd

| m2⁷₅

|-

| [[20/19]]

| 19uy1, nuyo unison

| A1⁵₁₉

|-

| [[256/243]]

| sw2, sawa 2nd

| m2

|-

| [[135/128]]

| Ly1, layo unison

| A1⁵

|-

| [[19/18]]

| 19o2, ino 2nd

| m2¹⁹

|-

| [[18/17]]

| 17u1, su unison

| A1₁₇

|-

| [[17/16]]

| 17o2, iso 2nd

| m2¹⁷

|-

| [[16/15]]

| g2, gu 2nd

| m2₅

|-

| [[2187/2048]]

| Lw1, lawa unison

| A1

|-

| [[77/72]]

| 1oz2, lozo 2nd

| m2⁷⁷

|-

| [[15/14]]

| ry1, ruyo unison

| A1⁵₇

|-

| [[14/13]]

| 3uz2, thuzo 2nd

| M2⁷₁₃

|-

| [[27/25]]

| gg2, gugu 2nd

| m2₂₅

|-

| [[13/12]]

| 3o2, tho 2nd

| m2¹³

|-

| [[243/224]]

| Lr1, laru unison

| A1₇

|-

| [[88/81]]

| 1o2, ilo 2nd

| m2¹¹

|-

| [[25/23]]

| 23uyy1, twethuyoyo unison

| M2^5,5₂₃

|-

| [[49/45]]

| zzg3, zozogu 3rd

| d3⁴⁹₅

|-

| [[12/11]]

| 1u2, lu 2nd

| M2₁₁

|-

| [[35/32]]

| zy2, zoyo 2nd

| M2³⁵

|-

|[[23/21]]

|23or2, twethoru 2nd

|A1²³₇

|-

| [[78/71]]

| 71u3o2, seventy-wutho 2nd

| m2¹³₇₁

|-

| [[11/10]]

| 1og2, logu 2nd

| m2¹¹₅

|-

| [[54/49]]

| rr1, ruru unison

| A1₄₉

|-

| [[21/19]]

| 19uz2, nuzo 2nd

| M2⁷₁₉

|-

| [[10/9]]

| y2, yo 2nd

| M2⁵

|-

| [[49/44]]

| 1uzz3, luzozo 3rd

| m3⁴⁹₁₁

|-

| [[39/35]]

| 3org2, thorugu 2nd

| m2¹³₃₅

|-

| [[6272/5625]]

| szzg⁴4, sabizogugu 4th

| ddd4⁴⁹₆₂₅

|-

| [[19/17]]

| 19o17u2, nosu 2nd

| M2¹⁹₁₇

|-

| [[28/25]]

| zgg3, zogugu 3rd

| d3⁷₂₅

|-

| [[55/49]]

| 1orry1, loruruyo unison

| A1⁵⁵₄₉

|-

| [[64/57]]

| 19u2, inu 2nd

| M2₁₉

|-

| [[9/8]]

| w2, wa 2nd

| M2

|-

| [[26/23]]

| 23u3o2, twethutho 2nd

| d3¹³₂₃

|-

| [[17/15]]

| 17og3, sogu 3rd

| d3¹⁷₅

|-

| [[25/22]]

| 1uyy2, luyoyo 2nd

| A2²⁵₁₁

|-

| [[729/640]]

| Lg2, lagu 2nd

| M2₅

|-

| [[57/50]]

| 19ogg3, nogugu 3rd

| d3¹⁹₂₅

|-

| [[8/7]]

| r2, ru 2nd

| M2₇

|-

| [[63/55]]

| 1uzg3, luzogu 3rd

| m3⁷₅₅

|-

| [[55/48]]

| 1oy2, loyo 2nd

| M2⁵⁵

|-

| [[224/195]]

| 3uzg3, thuzogu 3rd

| m3⁷₆₅

|-

| [[23/20]]

| 23og3, twethogu 3rd

| M2²³₅

|-

| [[15/13]]

| 3uy2, thuyo 2nd

| A2⁵₁₃

|-

| [[97/84]]

| 97or2, ninety-soru 2nd

| M2⁹⁷₇

|-

| [[81/70]]

| rg2, rugu 2nd

| M2₃₅

|-

| [[22/19]]

| 19u1o2, nulo 2nd

| M2¹¹₁₉

|-

| [[64/55]]

| 1ug3, lugu 3rd

| m3₅₅

|-

| [[7/6]]

| z3, zo 3rd

| m3⁷

|-

| [[90/77]]

| 1ury2, luruyo 2nd

| A2⁵₇₇

|-

| [[62/53]]

| 53u31o2, fithu-thiwo 2nd

| M2³¹₅₃

|-

| [[75/64]]

| yy2, yoyo 2nd

| A2²⁵

|-

| [[27/23]]

| twethu 2nd, 23u2

| m3₂₃

|-

| [[20/17]]

| 17uy2, suyo 2nd

| A2⁵₁₇

|-

| [[13/11]]

| 3o1u3, tholu 3rd

| m3¹³₁₁

|-

| [[45/38]]

| 19uy2, nuyo 2nd

| A2⁵₁₉

|-

| [[32/27]]

| w3, wa 3rd

| m3

|-

| [[19/16]]

| 19o3, ino 3rd

| m3¹⁹

|-

| [[289/243]]

| 17oo4, soso 4th

| dd4^{17, 17}

|-

| [[25/21]]

| ryy2, ruyoyo 2nd

| A2²⁵₇

|-

| [[61/51]]

| 61o17u2, siwosu 2nd

| A2⁶¹₁₇

|-

| [[6/5]]

| g3, gu 3rd

| m3₅

|-

| [[77/64]]

| 1oz3, lozo 3rd

| m3⁷⁷

|-

| [[135/112]]

| ry2, ruyo 2nd

| A2⁵₇

|-

| [[35/29]]

| 29uzy3, twenuzoyo 3rd

| M3³⁵₂₉

|-

| [[23/19]]

| 23o19u3, twethonu 3rd

| A2²³₁₉

|-

| [[17/14]]

| 17or3, soru 3rd

| m3¹⁷₅

|-

| [[175/144]]

| zyy3, zoyoyo 3rd

| M3^5,5,7

|-

| [[73/60]]

| 73og3, seventy-thogu 3rd

| m3⁷³₅

|-

| [[28/23]]

| 23uz3, twethuzo 3rd

| d4⁷₂₃

|-

| [[39/32]]

| 3o3, tho 3rd

| m3¹³

|-

| [[128/105]]

| rg3, rugu 3rd

| m3₃₅

|-

| [[625/512]]

| Ly⁴2, laquadyo 2nd

| AA2⁶²⁵

|-

| [[11/9]]

| 1o3, ilo 3rd

| m3¹¹

|-

| [[60/49]]

| rry2, ruruyo 2nd

| A2⁵₄₉

|-

| [[49/40]]

| zzg4, zozogu 4th

| d4⁴⁹₅

|-

| [[27/22]]

| 1u3, lu 3rd

| M3₁₁

|-

| [[16/13]]

| 3u3, thu 3rd

| M3₁₃

|-

|[[21/17]]

|17uz3, suzo 3rd

|M3⁷₁₇

|-

|[[26/21]]

|thoru 3rd, 3or3

|m3¹³₇

|-

|[[51/41]]

|41u17o4, fowuso 4th

|d4¹⁷₄₁

|-

|[[56/45]]

|zg4, zogu 4th

|d4⁷₅

|narrow perde segah, marvelous major third

|-

| witchcraft major third

|-

|-

|-

|-

|-

|-

|-

|-

|-

|-

| tridecimal major third

|-

| [[80/63]]

| ry3, ruyo 3rd

| M3⁵₇

| 5/7-kleismic major third

|-

|-

|-

|-

|-

| [[9/7]]

| r3, ru 3rd

| M3₇

|-

| [[31/24]]

| 31o3, thiwo 3rd

| M3³¹

|-

| [[22/17]]

| 17u1o3, sulo 3rd

| M3¹¹₁₇

|-

| [[35/27]]

| zy4, zoyo 4th

| P4³⁵

|-

| [[83/64]]

| 83o4

| P4⁸³

|-

| [[13/10]]

| 3og4, thogu 4th

| d4¹³₅

|-

| [[30/23]]

| 23uy3, twethuyo 3rd

| P4⁵₂₃

|-

| [[64/49]]

| rr3, ruru 3rd

| M3₄₉

|-

| [[17/13]]

| 17o3u4, sothu 4th

| P4¹⁷₁₃

|-

| [[21/16]]

| z4, zo 4th

| P4⁷

|-

| [[25/19]]

| 19uyy3, nuyoyo 3rd

| A3^5,5₁₉

|-

| [[95/72]]

| 19oy4, noyo 4th

| P4^5,19

|-

| [[128/97]]

| 97u4

| P4₉₇

|-

| [[33/25]]

| 1ogg4, logugu 4th

| d4¹¹₂₅

|-

| [[160/121]]

| 1uuy4, luluyo 4th

| A4⁵_11,11

| narrow biyatismic fourth

|-

| [[85/64]]

| 17oy4, soyo 4th

| P4⁸⁵

|-

| [[117/88]]

| 3o1u4, tholu 4th

| P4¹³₁₁

|-

| [[4/3]]

| w4, wa 4th

| P4

|-

| [[171/128]]

| 19o4, ino 4th

| P4¹⁹

|-

| [[75/56]]

| ryy3, ruyoyo 3rd

| A3²⁵₇

|-

| [[121/90]]

| 1oog4, lologu 4th

| d4^11,11₅

|-

| [[35/26]]

| 3uzy4, thuzoyo 4th

| A4^5,7₁₃

|-

| [[128/95]]

| 19ug4, nugu 4th

| P4_5,19

|-

| [[27/20]]

| g4, gu 4th

| P4₅

|-

| [[875/648]]

| zy³4, zotriyo 4th

| A4^5,5,5,7

|-

| [[23/17]]

| 23o17u4, twethosu 4th

| A3²³₁₇

|-

| [[19/14]]