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According to the OED, the earliest English use of '''apotome''' (alt. spelling "apotomy") with its musical as opposed to mathematical meaning, and of '''limma''', is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone, the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).
== Gallery of just intervals ==
See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]
 
If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.
 
{| class="wikitable sortable right-3"
|-
! Frequency Ratio
! Cents Value <br> (6 dec. pl.)
![[Sagittal notation|Sagittal <br> notation]]
! [[Color notation|Color Name]]
! [[Functional Just System|FJS Name]]
! class="unsortable" | Some common names
|-
| [[1/1]]
| 0
| <ref>The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.</ref>&numsp;&numsp;&numsp;{{sagittal| ntCwh }}&numsp;&numsp;
| w1, wa unison
| P1
| unity, perfect prime, Tonic
|-
| [[32805/32768]]
| 1.953721
| {{sagittal| ' }}{{nbhsp}}{{sagittal| | }}{{nbhsp}}{{sagittal|ntCwh}}&numsp;&numsp;
| Ly-2, Layo comma
| d-2<sup>5</sup>
| schisma ({{Monzo|-15, 8, 1}})
|-
| [[225/224]]
| 7.711523
| {{sagittal| ~!( }}{{nbhsp}}{{sagittal| # }}{{nbhsp}}{{sagittal|ntBbl}}&numsp;&numsp;
| ryy-2, Ruyoyo comma
| d-2<sup>25</sup><sub>7</sub>
| septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}})
|-
| [[126/125]]
| 13.794767
|
| zg<sup>3</sup>2, Zotrigu comma
| d2<sup>7</sup><sub>125</sub>
| septimal semicomma, starling comma ({{Monzo|1, 2, -3, 1}})
|-
| [[100/99]]
| 17.399484
|
| 1uyy1, Luyoyo comma
| A1<sup>25</sup><sub>11</sub>
| Ptolemy's comma, ptolemisma
|-
| [[99/98]]
| 17.576131
|
| 1orr-2, Loruru comma
| m-2<sup>11</sup><sub>49</sub>
| mothwellsma
|-
| [[2048/2025]]
| 19.552569
|
| sgg2, Sagugu comma
| d2<sub>25</sub>
| diaschisma ({{Monzo|11, -4, -2}})
|-
| [[81/80]]
| 21.506286
| {{sagittal| /| }}{{nbhsp}}{{sagittal|ntCwh}}&numsp;&numsp;
| g1, Gu comma
| P1<sub>5</sub>
| meantone comma, syntonic comma, Didymus comma
|-
| [[531441/524288]]
| 23.460010
|
| LLw-2, Lalawa comma
| d-2
| Pythagorean comma, ditonic comma ({{Monzo|-19, 12}})
|-
| [[66/65]]
| 26.431568
|
| 3u1og1, Thulogu comma
| P1<sup>11</sup><sub>65</sub>
| winmeanma
|-
| [[65/64]]
| 26.841376
|
| 3oy1, Thoyo comma
| P1<sup>65</sup>
| wilsorma, 13th-partial chroma
|-
| [[64/63]]
| 27.264092
|
| r1, Ru comma
| P1<sub>7</sub>
| septimal comma, Archytas' comma
|-
| [[3125/3072]]
| 29.613568
|
| Ly<span style="vertical-align: super;">5</span>-2, Laquinyo comma
| dd-2<sup>3125</sup>
| magic comma, small diesis ({{Monzo|-10, -1, 5}})
|-
| [[50/49]]
| 34.975615
|
| rryy-2, Biruyo comma
| d-2<sup>25</sup><sub>49</sub>
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
|-
| [[49/48]]
| 35.696812
|
| zz2, Zozo comma
| m2<sup>49</sup>
| large septimal diesis, slendro diesis
|-
| [[45/44]]
| 38.905773
|
| 1uy1, Luyo comma
| A1<sup>5</sup><sub>11</sub>
| undecimal 1/5th tone
|-
| [[128/125]]
| 41.058858
|
| g<span style="vertical-align: super;">3</span>2, Trigu comma
| d2<sub>125</sub>
| diesis, minor diesis, augmented comma, enharmonic comma ({{Monzo|7, 0, -3}})
|-
| [[525/512]]
| 43.408335
|
| Lzyy1, Lazoyoyo comma
| A1<sup>175</sup>
| Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}})
|-
| [[1053/1024]]
| 48.347665
|
| L3o1, Latho comma
| P1<sup>13</sup>
| tridecimal quartertone, tridecimal flattone comma
|-
| [[36/35]]
| 48.770381
| {{sagittal| /|) }}{{nbhsp}}{{sagittal| ntCwh }}&numsp;&numsp;
| rg1, Rugu comma
| P1<sub>35</sub>
| septimal quarter tone, double comma
|-
| [[250/243]]
| 49.166137
|
| y<span style="vertical-align: super;">3</span>1, Triyo comma
| A1<sup>125</sup>
| porcupine comma ({{Monzo|1, -5, 3}})
|-
| [[59049/57344]]
| 50.724102
|
| Lr-2, Laru comma
| d-2<sub>7</sub>
| Harrison's comma ({{Monzo|-13, 10, 0, -1}})
|-
| [[100/97]]
| 52.732017
|
| 97uyy1, ninety-suyoyo unison
| A1<sup>25</sup><sub>97</sub>
| shrutar quarter tone
|-
| [[33/32]]
| 53.272943
|
| 1o1, ilo unison
| P1<sup>11</sup>
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
|-
| [[648/625]]
| 62.565148
|
| g<span style="vertical-align: super;">4</span>2, quadgu 2nd
| d2<sub>625</sub>
| diminished comma, major diesis ({{Monzo|8, 4, -4}})
|-
| [[28/27]]
| 62.960904
|
| z2, zo 2nd
| m2<sup>7</sup>
| small septimal chroma, septimal third-tone, subminor second, septimal minor second
|-
| [[27/26]]
| 65.337341
| {{sagittal| (|\ }}{{nbhsp}}{{sagittal| ntChf }}&numsp;&numsp;
| 3u1, thu unison
| A1<sub>13</sub>
| small tridecimal third tone
|-
| [[26/25]]
| 67.900234
|
| 3ogg2, thogugu 2nd
| d2<sup>13</sup><sub>25</sub>
| large tridecimal third tone
|-
| [[25/24]]
| 70.672427
|
| yy1, yoyo unison
| A1<sup>25</sup>
| chroma, classic chromatic semitone, Zarlinian semitone
|-
| [[24/23]]
| 73.680654
|
| 23u1, twethu unison
| m2<sub>23</sub>
| lesser vicesimotertial semitone
|-
|[[23/22]]
|76.956405
|
|23o1u2, twetholu 2nd
|A1<sup>23</sup><sub>11</sub>
|greater vicesimotertial semitone
|-
| [[68/65]]
| 78.114034
|
| 17o3ug2, sothugu 2nd
| m2<sup>17</sup><sub>65</sub>
| valentine semitone
|-
| [[22/21]]
| 80.537035
|
| 1or1, loru unison
| P1<sup>11</sup><sub>7</sub>
| undecimal minor semitone
|-
| [[64/61]]
| 83.115195
|
| 61u2, siwu 2nd
| m2<sub>61</sub>
| harry minor semitone
|-
| [[21/20]]
| 84.467193
|
| zg2, zogu 2nd
| m2<sup>7</sup><sub>5</sub>
| minor semitone, large septimal chroma
|-
| [[20/19]]
| 88.800698
|
| 19uy1, nuyo unison
| A1<sup>5</sup><sub>19</sub>
| small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
|-
| [[256/243]]
| 90.224996
|
| sw2, sawa 2nd
| m2
| Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{Monzo|8, -5}})
|-
| [[135/128]]
| 92.178716
|
| Ly1, layo unison
| A1<sup>5</sup>
| major limma ({{Monzo|-7, 3, 1}})
|-
| [[19/18]]
| 93.603014
|
| 19o2, ino 2nd
| m2<sup>19</sup>
| large undevicesimal semitone, undevicesimal limma, Boethius' semitone
|-
| [[18/17]]
| 98.954592
|
| 17u1, su unison
| A1<sub>17</sub>
| small septendecimal semitone, Arabic lute index finger
|-
| [[17/16]]
| 104.955410
|
| 17o2, iso 2nd
| m2<sup>17</sup>
| large septendecimal semitone, octave-reduced 17th harmonic
|-
| [[16/15]]
| 111.731285
|
| g2, gu 2nd
| m2<sub>5</sub>
| 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 ({{Monzo|-11, 7}})
|-
| [[77/72]]
| 116.233847
|
| 1oz2, lozo 2nd
| m2<sup>77</sup>
| undecimal secor
|-
| [[15/14]]
| 119.442808
|
| ry1, ruyo unison
| A1<sup>5</sup><sub>7</sub>
| septimal diatonic semitone
|-
| [[14/13]]
| 128.298245
|
| 3uz2, thuzo 2nd
| M2<sup>7</sup><sub>13</sub>
| tridecimal 2/3-tone, trienthird, tridecimal supraminor second
|-
| [[27/25]]
| 133.237575
|
| gg2, gugu 2nd
| m2<sub>25</sub>
| large limma
|-
| [[13/12]]
| 138.572661
|
| 3o2, tho 2nd
| m2<sup>13</sup>
| tridecimal neutral second, tridecimal 2/3-tone
|-
| [[243/224]]
| 140.949098
|
| Lr1, laru unison
| A1<sub>7</sub>
| septimal subtone ({{Monzo|-5, 5, 0, -1}})
|-
| [[88/81]]
| 143.497939
|
| 1o2, ilo 2nd
| m2<sup>11</sup>
| undecimal subtone
|-
| [[25/23]]
| 144.353081
|
| 23uyy1, twethuyoyo unison
| M2<sup>5,5</sup><sub>23</sub>
| small vicesimotertial neutral second
|-
| [[49/45]]
| 147.428097
|
| zzg3, zozogu 3rd
| d3<sup>49</sup><sub>5</sub>
| swetismic neutral second
|-
| [[12/11]]
| 150.637059
|
| 1u2, lu 2nd
| M2<sub>11</sub>
| small undecimal neutral second, 3/4-tone
|-
| [[35/32]]
| 155.139620
|
| zy2, zoyo 2nd
| M2<sup>35</sup>
| septimal neutral second
|-
|[[23/21]]
|157.493440
|
|23or2, twethoru 2nd
|A1<sup>23</sup><sub>7</sub>
|large vicesimotertial neutral second
|-
| [[78/71]]
| 162.786119
|
| 71u3o2, seventy-wutho 2nd
| m2<sup>13</sup><sub>71</sub>
| porcupine neutral second
|-
| [[11/10]]
| 165.004228
|
| 1og2, logu 2nd
| m2<sup>11</sup><sub>5</sub>
| undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
|-
| [[54/49]]
| 168.213190
|
| rr1, ruru unison
| A1<sub>49</sub>
| Zalzal's mujannab
|-
| [[21/19]]
| 173.267891
|
| 19uz2, nuzo 2nd
| M2<sup>7</sup><sub>19</sub>
| large neutral undevicesimal second
|-
| [[10/9]]
| 182.403712
|
| y2, yo 2nd
| M2<sup>5</sup>
| classic (whole) tone, minor (whole) tone
|-
| [[49/44]]
| 186.333871
|
| 1uzz3, luzozo 3rd
| m3<sup>49</sup><sub>11</sub>
| mothwellsmic major second
|-
| [[39/35]]
| 187.343042
|
| 3org2, thorugu 2nd
| m2<sup>13</sup><sub>35</sub>
| animist major second
|-
| [[6272/5625]]
| 188.486956
|
| szzg<sup>4</sup>4, sabizogugu 4th
| ddd4<sup>49</sup><sub>625</sub>
| double marvelous second, double marvelous (whole) tone
|-
| [[19/17]]
| 192.557607
|
| 19o17u2, nosu 2nd
| M2<sup>19</sup><sub>17</sub>
| quasi-meantone
|-
| [[28/25]]
| 196.198479
|
| zgg3, zogugu 3rd
| d3<sup>7</sup><sub>25</sub>
| middle major second
|-
| [[55/49]]
| 199.979843
|
| 1orry1, loruruyo unison
| A1<sup>55</sup><sub>49</sub>
| werckismic tone
|-
| [[64/57]]
| 200.531983
|
| 19u2, inu 2nd
| M2<sub>19</sub>
| 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
| d3<sup>13</sup><sub>23</sub>
| vicesimotertial whole tone
|-
| [[17/15]]
| 216.686695
|
| 17og3, sogu 3rd
| d3<sup>17</sup><sub>5</sub>
| septendecimal whole tone, septendecimal eventone
|-
| [[25/22]]
| 221.309485
|
| 1uyy2, luyoyo 2nd
| A2<sup>25</sup><sub>11</sub>
| ptolemismic whole tone, undecimal acute whole tone
|-
| [[729/640]]
| 225.416291
|
| Lg2, lagu 2nd
| M2<sub>5</sub>
| acute whole tone
|-
| [[57/50]]
| 226.840589
|
| 19ogg3, nogugu 3rd
| d3<sup>19</sup><sub>25</sub>
| devichromic supermajor second
|-
| [[8/7]]
| 231.174094
|
| r2, ru 2nd
| M2<sub>7</sub>
| supermajor second, septimal whole tone, octave-reduced 7th subharmonic
|-
| [[63/55]]
| 235.104252
|
| 1uzg3, luzogu 3rd
| m3<sup>7</sup><sub>55</sub>
| werckismic supermajor second
|-
| [[55/48]]
| 235.676655
|
| 1oy2, loyo 2nd
| M2<sup>55</sup>
| keenanismic supermajor second
|-
| [[224/195]]
| 240.029530
|
| 3uzg3, thuzogu 3rd
| m3<sup>7</sup><sub>65</sub>
| quasi-tempered 1/5-octave, "5EDO"-esque tone
|-
| [[23/20]]
| 241.960633
|
| 23og3, twethogu 3rd
| M2<sup>23</sup><sub>5</sub>
| vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
|-
| [[15/13]]
| 247.741053
|
| 3uy2, thuyo 2nd
| A2<sup>5</sup><sub>13</sub>
| tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
|-
| [[97/84]]
| 249.114503
|
| 97or2, ninety-soru 2nd
| M2<sup>97</sup><sub>7</sub>
| homothetic semifourth
|-
| [[81/70]]
| 252.268038
|
| rg2, rugu 2nd
| M2<sub>35</sub>
| septimal semi-augmented second, septimal ultramajor second
|-
|[[22/19]]
|253.804926
|
|19u1o2, nulo 2nd
|M2<sup>11</sup><sub>19</sub>
|undevicesimal semifourth, minimal minor third, godzilla semifourth
|-
|[[64/55]]
|262.368344
|
|1ug3, lugu 3rd
|m3<sub>55</sub>
| keenanismic subminor third, octave-reduced 55th subharmonic
|-
|[[7/6]]
|266.870906
|
|z3, zo 3rd
|m3<sup>7</sup>
|subminor third, septimal minor third
|-
|[[90/77]]
|270.079867
|
|1ury2, luruyo 2nd
|A2<sup>5</sup><sub>77</sub>
|swetismic subminor third
|-
|[[62/53]]
|271.531027
|
|53u31o2, fithu-thiwo 2nd
|M2<sup>31</sup><sub>53</sub>
|orwell subminor third
|-
|[[75/64]]
|274.582429
|
|yy2, yoyo 2nd
|A2<sup>25</sup>
|classic augmented second
|-
|[[27/23]]
|277.590655
|
|twethu 2nd, 23u2
|m3<sub>23</sub>
|vicesimotertial augmented second
|-
|[[20/17]]
|281.358304
|
|17uy2, suyo 2nd
|A2<sup>5</sup><sub>17</sub>
|septendecimal augmented second, septendecimal minor third
|-
|[[13/11]]
|289.209719
|
|3o1u3, tholu 3rd
|m3<sup>13</sup><sub>11</sub>
| tridecimal minor third
|-
|[[32/27]]
|294.134997
|
|w3, wa 3rd
|m3
|Pythagorean minor third, octave-reduced 27th subharmonic
|-
|[[19/16]]
|297.513016
|
|19o3, ino 3rd
|m3<sup>19</sup>
|otonal minor third, octave-reduced 19th harmonic
|-
|[[25/21]]
|301.846520
|
|ryy2, ruyoyo 2nd
|A2<sup>25</sup><sub>7</sub>
|quasi-tempered minor third
|-
|[[61/51]]
|309.974395
|
|61o17u2, siwosu 2nd
|A2<sup>61</sup><sub>17</sub>
|myna third
|-
|[[6/5]]
|315.641287
|
|g3, gu 3rd
|m3<sub>5</sub>
|classic minor third, just minor third
|-
|[[77/64]]
|320.143849
|
|1oz3, lozo 3rd
|m3<sup>77</sup>
|keenanismic minor third, octave-reduced 77th harmonic
|-
|[[135/112]]
|323.352810
|
|ry2, ruyo 2nd
|A2<sup>5</sup><sub>7</sub>
| large septimal minor third, marvelous minor third ({{Monzo|-4, 3, 1, -1}})
|-
|[[35/29]]
|325.562426
|
|29uzy3, twenuzoyo 3rd
|M3<sup>35</sup><sub>29</sub>
| doublewide minor third
|-
|[[23/19]]
|330.761331
|
|23o19u3, twethonu 3rd
|A2<sup>23</sup><sub>19</sub>
|vicesimotertial supraminor third
|-
|[[17/14]]
|336.129503
|
|17or3, soru 3rd
|m3<sup>17</sup><sub>5</sub>
|septendecimal supraminor third
|-
|[[175/144]]
|337.54333
|
|zyy3, zoyoyo 3rd
|M3<sup>5,5,7</sup>
|keemic minor third
|-
|[[73/60]]
|339.520756
|
|73og3, seventy-thogu 3rd
|m3<sup>73</sup><sub>5</sub>
|amity supraminor third
|-
|[[28/23]]
|340.551559
|
|23uz3, twethuzo 3rd
|d4<sup>7</sup><sub>23</sub>
|vicesimotertial neutral third
|-
|[[39/32]]
|342.482663
|
|3o3, tho 3rd
|m3<sup>13</sup>
|lesser tridecimal neutral third, octave-reduced 39th harmonic
|-
|[[128/105]]
|342.905379
|
|rg3, rugu 3rd
|m3<sub>35</sub>
|quasi-tempered 2/7-octave, 105th subharmonic
|-
|[[625/512]]
|345.254855
|
|Ly<sup>4</sup>2, laquadyo 2nd
| AA2<sup>625</sup>
|5-limit neutral third ({{Monzo|-9, 0, 4}})
|-
|[[11/9]]
| 347.407941
|
|1o3, ilo 3rd
| m3<sup>11</sup>
|undecimal neutral third
|-
|[[60/49]]
|350.616902
|
|rry2, ruruyo 2nd
|A2<sup>5</sup><sub>49</sub>
|smaller septimal neutral third, (purple 3rd)
|-
|[[49/40]]
|351.338099
|
| zzg4, zozogu 4th
|d4<sup>49</sup><sub>5</sub>
|larger septimal neutral third, (purple 3rd)
|-
|[[27/22]]
|354.547060
|
|1u3, lu 3rd
|M3<sub>11</sub>
|rastmic neutral third
|-
|[[16/13]]
| 359.472338
|
|3u3, thu 3rd
|M3<sub>13</sub>
|greater tridecimal neutral third, octave reduced 13subharmonic
|-
|[[21/17]]
|365.825498
|
|17uz3, suzo 3rd
|M3<sup>7</sup><sub>17</sub>
|septendecimal submajor third
|-
|[[26/21]]
|369.746754
|
|thoru 3rd, 3or3
|m3<sup>13</sup><sub>7</sub>
|tridecimal submajor third
|-
|[[51/41]]
|377.848005
|
|41u17o4, fowuso 4th
|d4<sup>17</sup><sub>41</sub>
|
|-
|[[56/45]]
|378.602191
|
|zg4, zogu 4th
|d4<sup>7</sup><sub>5</sub>
|narrow perde segah, marvelous major third
|-
|[[71/57]]
|380.228526
|
|71o19u3, seventy-wonu 3rd
|M3<sup>71</sup><sub>19</sub>
| witchcraft major third
|-
|[[76/61]]
|380.628211
|
|61u19o4, siwuno 4th
|d4<sup>19</sup><sub>61</sub>
|magic major third
|-
|[[96/77]]
|381.811152
|
|1ur3, luru 3rd
|M3<sub>77</sub>
|undecimal perde segah, keenanismic major third
|-
|[[5/4]]
|386.313714
|
|y3, yo 3rd
|M3<sup>5</sup>
|classic major third, just major third, octave-reduced 5th harmonic
|-
|[[161/128]]
|397.100254
|
|23oz4, twethozo 4th
|M3<sup>161</sup>
|just/Pythagorean major third meantone, octave-reduced 161th harmonic
|-
|[[34/27]]
|399.090407
|
|17o4, iso 4th
|d4<sup>17</sup>
|septendecimal quasi-tempered major third
|-
|[[63/50]]
|400.108480
|
|zgg4, zogugu 4th
|d4<sup>7</sup><sub>25</sub>
|quasi-tempered major third
|-
|[[24/19]]
|404.441985
|
|19u3, inu 3rd
|M3<sub>19</sub>
|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
|d4<sup>19</sup><sub>5</sub>
|Eratosthenes' major third
|-
|[[33/26]]
|412.745281
|
|3u1o3, thulo 3rd
|M3<sup>11</sup><sub>13</sub>
| tridecimal major third
|-
| [[80/63]]
| 413.577806
|
| ry3, ruyo 3rd
| M3<sup>5</sup><sub>7</sub>
| 5/7-kleismic major third
|-
|[[14/11]]
|417.507964
|
|1uz4, luzo 4th
|P4<sup>7</sup><sub>11</sub>
|undecimal major third, undecimal diminished fourth
|-
|[[23/18]]
|424.364346
|
|23o4, twetho 4th
|M3<sup>23</sup>
|vicesimotertial diminished fourth
|-
|[[32/25]]
|427.372572
|
|gg4, gugu 4th
|d4<sub>25</sub>
|classic diminished fourth
|-
|[[77/60]]
|431.875134
|
|1ozg4, lozogu 4th
|d4<sup>77</sup><sub>5</sub>
|swetismic supermajor third
|-
|[[9/7]]
|435.084095
|
|r3, ru 3rd
| M3<sub>7</sub>
|supermajor third, septimal major third
|-
|[[31/24]]
|443.080572
|
|31o3, thiwo 3rd
|M3<sup>31</sup>
| sensi supermajor third
|-
|[[22/17]]
|446.362533
|
|17u1o3, sulo 3rd
|M3<sup>11</sup><sub>17</sub>
|septendecimal supermajor third
|-
|[[35/27]]
|449.274618
|
|zy4, zoyo 4th
|P4<sup>35</sup>
|septimal semidiminished fourth
|-
|[[83/64]]
|450.047318
|
|83o4
|P4<sup>83</sup>
|octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
|-
|[[13/10]]
|454.213948
|
|3og4, thogu 4th
|d4<sup>13</sup><sub>5</sub>
|tridecimal semisixth, Barbados third, tridecimal 9/4 tone
|-
|[[30/23]]
|459.994368
|
|23uy3, twethuyo 3rd
|P4<sup>5</sup><sub>23</sub>
|vicesimotertial ultramajor third
|-
|[[64/49]]
|462.348187
|
|rr3, ruru 3rd
|M3<sub>49</sub>
| septatonic major third
|-
|[[17/13]]
|464.427748
|
|17o3u4, sothu 4th
|P4<sup>17</sup><sub>13</sub>
|septendecimal sub-fourth
|-
|[[21/16]]
|470.780907
|
|z4, zo 4th
|P4<sup>7</sup>
|sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
|-
|[[25/19]]
|475.114412
|
|19uyy3, nuyoyo 3rd
|A3<sup>5,5</sup><sub>19</sub>
|undevicesimal augmented third, undevicesimal grave fourth
|-
|[[128/97]]
|480.104589
|
|97u4
|P4<sub>97</sub>
|nonacesimoseptimal subharmonic fourth
|-
|[[33/25]]
|480.645516
|
|1ogg4, logugu 4th
|d4<sup>11</sup><sub>25</sub>
|ptolemismic fourth, "5EDO"-esque fourth
|-
|[[160/121]]
|483.677829
|
|1uuy4, luluyo 4th
|A4<sup>5</sup><sub>11,11</sub>
|narrow biyatismic fourth
|-
|[[117/88]]
|493.119721
|
|3o1u4, tholu 4th
|P4<sup>13</sup><sub>11</sub>
|minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
|-
|[[4/3]]
|498.044999
|
|w4, wa 4th
|P4
|just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
|-
|[[75/56]]
|505.756522
|
|ryy3, ruyoyo 3rd
|A3<sup>25</sup><sub>7</sub>
|marvelous fourth
|-
|[[121/90]]
|512.412169
|
|1oog4, lologu 4th
|d4<sup>11,11</sup><sub>5</sub>
|wide biyatismic fourth
|-
|[[35/26]]
|514.611959
|
|3uzy4, thuzoyo 4th
|A4<sup>5,7</sup><sub>13</sub>
|animist fourth
|-
|[[27/20]]
|519.551289
|
|g4, gu 4th
|P4<sub>5</sub>
|acute fourth, wolf fourth
|-
|[[875/648]]
|519.94704
|
|zy<sup>3</sup>4, zotriyo 4th
|A4<sup>5,5,5,7</sup>
|maviloid generator superfourth
|-
|[[23/17]]
|523.318938
|
|23o17u4, twethosu 4th
|A3<sup>23</sup><sub>17</sub>
|vicesimotertial acute fourth
|-
|[[19/14]]
|528.687110
|
| 19or4, noru 4th
|P4<sup>19</sup><sub>7</sub>
|hendrix fourth
|-
|[[34/25]]
|532.327982
|
|17ogg5, sogugu 5th
|dd5<sup>17</sup><sub>5,5</sub>
|vengeance superfourth
|-
|[[49/36]]
|533.741811
|
|zz5, zozo 5th
|d5<sup>49</sup>
|Arabic lute acute fourth
|-
|[[15/11]]
|536.950772
|
|1uy4, luyo 4th
|A4<sup>5</sup><sub>11</sub>
| undecimal augmented fourth, subaugmented fourth
|-
|[[26/19]]
|543.014646
|
|19u3o4, nutho 4th
|P4<sup>13</sup><sub>19</sub>
|undevicesimal superfourth
|-
|[[48/35]]
|546.815381
|
|rg4, rugu 4th
|P4<sub>35</sub>
|septimal super-fourth
|-
|[[11/8]]
| 551.317942
|
|1o4, ilo 4th
|P4<sup>11</sup>
|super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
|-
|[[18/13]]
| 563.382340
|
|3u4, thu 4th
|A4<sub>13</sub>
|tridecimal augmented fourth
|-
|[[25/18]]
|568.717426
|
|yy4, yoyo 4th
|A4<sup>25</sup>
|classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
|-
|[[32/23]]
|571.725653
|
|23u4, twethu 4th
|d5<sub>23</sub>
|vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
|-
| [[88/63]]
| 578.582034
|
| 1or4, loru 4th
| P4<sup>11</sup><sub>7</sub>
| pentacircle diminished fifth
|-
| [[7/5]]
|582.512193
|
|zg5, zogu 5th
|d5<sup>7</sup><sub>5</sub>
|augmented fourth, septimal tritone, Huygen's tritone
|-
|[[108/77]]
|585.721154
|
|1ur4, luru 4th
|A4<sub>77</sub>
|swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}})
|-
|[[45/32]]
|590.223716
|
|y4, yo 4th
|A4<sup>5</sup>
|smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
|-
|[[128/91]]
|590.646432
|
|3ur4, thuru 4th
|A4<sub>91</sub>
|smaller huntmic tritone, 91st subharmonic
|-
|[[38/27]]
|591.648014
|
|ino 5th, 19o5
|d5<sup>19</sup>
|smaller undevicesimal tritone
|-
|[[55/39]]
|595.148994
|
|3u1oy4, thuloyo 4th
|A4<sup>55</sup><sub>13</sub>
|smaller gassormic tritone
|-
|[[24/17]]
|596.999591
|
|17u4, su 4th
|A4<sub>17</sub>
|smaller septendecimal tritone
|-
|[[99/70]]
|600.088324
|
|1org4, lorugu 4th
|P4<sup>11</sup><sub>35</sub>
|homothetic quasi-tempered tritone
|-
|[[17/12]]
|603.000409
|
|17o5, iso 5th
|d5<sup>17</sup>
|larger septendecimal tritone
|-
|[[78/55]]
|604.851006
|
|3o1ug5, tholugu 5th
|d5<sup>13</sup><sub>55</sub>
|larger gassormic tritone
|-
|[[27/19]]
|608.351987
|
|inu 4th, 19u4
|A4<sub>19</sub>
|larger undevicesimal tritone
|-
|[[91/64]]
|609.353568
|
|3oz5, thozo 5th
|d5<sup>91</sup>
|larger huntmic tritone, octave-reduced 91st harmonic
|-
|[[64/45]]
|609.776284
|
|g5, gu 5th
|d5<sub>5</sub>
|larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
|-
|[[10/7]]
|617.487807
|
|ry4, ruyo 4th
|A4<sup>5</sup><sub>7</sub>
|diminished fifth, Euler's tritone, superaugmented fourth
|-
|[[23/16]]
|628.274347
|
|23o5, twetho 5th
|A4<sup>23</sup>
|vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
|-
|[[36/25]]
|631.282574
|
|gg5, gugu 5th
|d5<sub>25</sub>
|pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}})
|-
|[[13/9]]
| 636.617660
|
|3o5, tho 5th
|d5<sup>13</sup>
|tridecimal diminished fifth
|-
|[[16/11]]
|648.682058
|
|1u5, lu 5th
|P5<sub>11</sub>
|sub-fifth, octave-reduced 11th subharmonic
|-
|[[35/24]]
|653.184619
|
|zy5, zoyo 5th
|P5<sup>35</sup>
|septimal sub-fifth
|-
|[[19/13]]
|656.985354
|
|19o3u5, nothu 5th
|P5<sup>19</sup><sub>13</sub>
|undevicesimal subfifth
|-
|[[22/15]]
|663.049228
|
|1og5, logu 5th
|d5<sup>11</sup><sub>5</sub>
| undecimal diminished fifth, semidiminished fifth
|-
|[[72/49]]
|666.258889
|
|rr4, ruru 4th
|A4<sub>49</sub>
|septimal catafifth
|-
|[[25/17]]
|667.672018
|
|17uyy4, suyoyo 4th
|AA4<sup>5,5</sup><sub>17</sub>
|vengeance subfifth
|-
|[[81/55]]
|670.188347
|
|1ug5, lugu 5th
|P5<sub>55</sub>
|undecimal catafifth
|-
|[[28/19]]
|671.312890
|
| 19uz5, nuzo 5th
|P5<sup>7</sup><sub>19</sub>
|hendrix fifth
|-
|[[34/23]]
|676.681062
|
|23u17o5, twethuso 5th
|d6<sup>17</sup><sub>23</sub>
|vicesimotertial grave fifth
|-
|[[262144/177147]]
|678.494990
|
|sasawa 6th, ssw6
|d6
|Pythagorean wolf fifth
|-
|[[40/27]]
|680.448711
|
|y5, yo 5th
|P5<sup>5</sup>
|grave fifth
|-
|[[52/35]]
|685.388041
|
|3org5, thorugu 5th
|d5<sup>13</sup><sub>35</sub>
|animist fifth
|-
|[[180/121]]
|687.587831
|
|1uuy5, luluyo 5th
|A5<sup>5</sup><sub>11,11</sub>
|narrow biyatismic fifth
|-
|[[112/75]]
|694.243478
|
|zgg6, zogugu 6th
|d6<sup>7</sup><sub>25</sub>
|marvelous fifth
|-
|[[121/81]]
|694.815881
|
|1oo5, lolo 5th
|d5<sup>11,11</sup>
|rastmic fifth, Alpharabian narrow fifth
|-
|[[323/216]]
|696.603423
|
|19o17o6, noso 6th
|d6<sup>17,19</sup>
|undevicesimal meantone fifth
|-
|[[16384/10935]]
|700.001280
|
|sg6, sagu 6th
|d6<sub>5</sub>
|Kirnberger's fifth ("[[12edo|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
|m6<sup>7,13</sup><sub>11,11</sub>
|tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
|-
|[[176/117]]
|706.880279
|
|3u1o5, thulo 5th
|P5<sup>11</sup><sub>13</sub>
|minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
|-
|[[121/80]]
|716.322171
|
|1oog5, lologu 5th
|d5<sup>121</sup><sub>5</sub>
|wide biyatismic fifth
|-
|[[50/33]]
|719.354484
|
|1uyy5, luyoyo 5th
|A5<sup>25</sup><sub>11</sub>
|ptolemismic fifth, "[[5edo|5EDO]]"-esque fifth
|-
|[[97/64]]
|719.895411
|
|97o5
|P5<sup>97</sup>
|nonacesimoseptimal harmonic fifth
|-
|[[38/25]]
|724.885588
|
|19ogg6, nogugu 6th
|d6<sup>19</sup><sub>5,5</sub>
|undevicesimal diminished sixth, undevicesimal acute fifth
|-
|[[32/21]]
|729.219093
|
|r5, ru 5th
|P5<sub>7</sub>
|super-fifth, wide fifth, octave-reduced 21st subharmonic
|-
|[[26/17]]
|735.572252
|
|17u3o5, sutho 5th
|P5<sup>13</sup><sub>17</sub>
|septendecimal super-fifth
|-
|[[49/32]]
|737.651813
|
|zz6, zozo 6th
|m6<sup>49</sup>
|superduper fifth, octave-reduced 49th harmonic
|-
|[[23/15]]
|740.005633
|
|23og6, twethogu 6th
|P5<sup>23</sup><sub>5</sub>
|vicesimotertial ultraminor sixth
|-
|[[20/13]]
|745.786052
|
|3uy5, thuyo 5th
|A5<sup>5</sup><sub>13</sub>
|tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
|-
|[[128/83]]
|749.952682
|
|83u5
|P5<sub>83</sub>
|83rd subharmonic, octacesimotertial subharmonic semitenth
|-
|[[17/11]]
|753.637467
|
|17o1u6, solu 6th
|m6<sup>17</sup><sub>11</sub>
|septendecimal subminor sixth
|-
| [[14/9]]
|764.915905
|
|z6, zo 6th
|m6<sup>7</sup>
|subminor sixth, septimal minor sixth
|-
|[[25/16]]
|772.627428
|
|yy5, yoyo 5th
|A5<sup>25</sup>
|pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
|-
|[[36/23]]
|775.635654
|
|23u5, twethu 5th
|m6<sub>23</sub>
|vicesimotertial augmented fifth
|-
|[[11/7]]
|782.492036
|
|1or5, loru 5th
|P5<sup>11</sup><sub>7</sub>
|undecimal subminor sixth, undecimal augmented fifth
|-
|[[63/40]]
|786.422194
|
|zg6, zogu 6th
|m6<sup>7</sup><sub>5</sub>
|narrow minor sixth
|-
|[[52/33]]
|787.254719
|
|3o1u6, tholu 6th
|m6<sup>13</sup><sub>11</sub>
| tridecimal minor sixth
|-
|[[30/19]]
|790.755699
|
|19uy5, nuyo 5th
|A5<sup>5</sup><sub>19</sub>
|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
|m6<sup>19</sup>
|large undevicesimal minor sixth, Boethius' minor sixth
|-
|[[27/17]]
|800.909593
|
|17u5, su 5th
|A5<sub>17</sub>
|septendecimal quasi-tempered minor sixth
|-
|[[8/5]]
|813.686286
|
|g6, gu 6th
|m6<sub>5</sub>
|classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
|-
|[[21/13]]
|830.253246
|
|3uz6, thuzo 6th
|M6<sup>7</sup><sub>13</sub>
|tridecimal supraminor sixth
|-
|[[34/21]]
|834.174502
|
|17or6, soru 6th
|m6<sup>17</sup><sub>7</sub>
|septendecimal supraminor sixth
|-
|[[13/8]]
|840.527662
|
|3o6, tho 6th
|m6<sup>13</sup>
|lesser tridecimal neutral sixth, octave-reduced 13th harmonic
|-
|[[80/49]]
|848.661901
|
|rry5, ruruyo aug 5th
|A5<sup>5</sup><sub>49</sub>
|(purple 6th)
|-
|[[49/30]]
|849.383198
|
|zzg7, zozogu 7th
|d7<sup>49</sup><sub>5</sub>
|(purple 6th)
|-
|[[18/11]]
|852.592059
|
|1u6, lu 6th
|M6<sub>11</sub>
|undecimal neutral sixth
|-
|[[105/64]]
|857.094621
|
|zy6, zoyo 6th
|M6<sup>35</sup>
|quasi-tempered 5/7-octave, octave-reduced 105th harmonic
|-
|[[23/14]]
|859.448441
|
|23or6, twethoru 6th
|A5<sup>23</sup><sub>7</sub>
|vicesimotertial neutral sixth
|-
|[[28/17]]
|863.870497
|
|17uz6, suzo 6th
|M6<sup>7</sup><sub>17</sub>
|septendecimal submajor sixth
|-
|[[38/23]]
|869.238669
|
|23u19o6, twethuno 6th
|d7<sup>19</sup><sub>23</sub>
|vicesimotertial submajor sixth
|-
|[[5/3]]
|884.358713
|
|y6, yo 6th
|M6<sup>5</sup>
|classic major sixth, just major sixth
|-
|[[42/25]]
|898.153480
|
|zgg7, zogugu 7th
|d7<sup>7</sup><sub>25</sub>
|quasi-tempered major sixth
|-
|[[32/19]]
|902.486984
|
|19u6, inu 6th
|M6<sub>19</sub>
|utonal major sixth, octave-reduced 19th subharmonic
|-
|[[27/16]]
|905.865003
|
|w6, wa 6th
|M6
|Pythagorean major sixth, octave-reduced 27th harmonic
|-
|[[22/13]]
|910.790821
|
|3u1o6, thulo 6th
|M6<sup>11</sup><sub>13</sub>
| tridecimal major sixth
|-
|[[17/10]]
|918.641696
|
|17og7, sogu 7th
|d7<sup>17</sup><sub>5</sub>
|septendecimal diminished seventh, septendecimal major sixth
|-
|[[46/27]]
|922.409345
|
|twetho 7th, 23o7
|M6<sup>23</sup>
|vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
|-
| [[12/7]]
|933.129094
|
|r6, ru 6th
| M6<sub>7</sub>
|supermajor sixth, septimal major sixth
|-
|[[55/32]]
|937.631656
|
|1oy6, loyo 6th
|M6<sup>55</sup>
|keenanismic supermajor sixth, octave-reduced 55th harmonic
|-
|[[19/11]]
|946.195074
|
|19o1u7, nolu 7th
|m7<sup>19</sup><sub>11</sub>
|undevicesimal semitwelfth, maximal major sixth
|-
|[[140/81]]
|947.319617
|
|zy7, zoyo 7th
|m7<sup>35</sup>
|septimal semidiminished seventh, septimal inframinor seventh
|-
| [[97/56]]
|951.069504
|
|97or6, ninety-soru 6th
|M6<sup>97</sup><sub>7</sub>
|homothetic semitwelth
|-
|[[26/15]]
|952.258947
|
|3og7, thogu 7th
|d7<sup>13</sup><sub>5</sub>
| tridecimal semitwelfth
|-
|[[40/23]]
|958.039367
|
|23uy6, twethuyo 6th
|m7<sup>5</sup><sub>23</sub>
|vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
|-
|[[7/4]]
|968.825906
|
|z7, zo 7th
|m7<sup>7</sup>
|subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
|-
|[[225/128]]
|976.537429
|
|Lyy6, layoyo 6th
|A6<sup>25</sup>
|marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}})
|-
|[[44/25]]
|978.690515
|
|1ogg7, logugu 7th
|d7<sup>11</sup><sub>5,5</sub>
|ptolemismic minor seventh, undecimal grave minor seventh
|-
|[[30/17]]
|983.313305
|
|17uy6, suyo 6th
|A6<sup>5</sup><sub>17</sub>
|septendecimal minor seventh
|-
|[[23/13]]
|987.746686
|
|23o3u7, twethothu 7th
|A6<sup>23</sup><sub>13</sub>
|vicesimotertial minor seventh
|-
|[[71/40]]
|993.382830
|
|71oy7
|m7<sup>71</sup><sub>5</sub>
| harmonic/just minor seventh meantone
|-
| [[16/9]]
|996.089998
|
|w7, wa 7th
|m7
|Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|-
|[[25/14]]
|1003.801521
|
| ryy6, ruyoyo 6th
|A6<sup>25</sup><sub>7</sub>
|middle minor seventh
|-
|[[34/19]]
| 1007.442393
|
|19u17o7, nuso 7th
|m7<sup>17</sup><sub>19</sub>
|quasi-meantone minor seventh
|-
| [[9/5]]
|1017.596288
|
|g5, gu 7th
|m7<sub>5</sub>
|classic minor seventh, large minor seventh
|-
|[[38/21]]
|1026.732109
|
|19or7, noru 7th
|m7<sup>19</sup><sub>7</sub>
|minor neutral undevicesimal seventh
|-
|[[29/16]]
|1029.577194
|
|29o7, tweno 7th
|m7<sup>29</sup>
|vicesimononal supraminor seventh, octave-reduced 29th harmonic
|-
|[[20/11]]
|1034.995772
|
|1uy7, luyo 7th
|M7<sup>5</sup><sub>11</sub>
|undecimal supraminor seventh, small undecimal neutral seventh
|-
|[[42/23]]
|1042.506560
|
|23uz7, twethuzo 7th
|d8<sup>7</sup><sub>23</sub>
|small vicesimotertial neutral seventh
|-
|[[64/35]]
|1044.860380
|
|rg7, rugu 7th
|m7<sub>35</sub>
|septimal neutral seventh
|-
|[[11/6]]
|1049.362941
|
|1o7, ilo 7th
| m7<sup>11</sup>
|undecimal neutral seventh, 21/4-tone
|-
|[[46/25]]
|1055.646920
|
|twethogugu octave, 23ogg8
|m7<sup>23</sup><sub>5,5</sub>
|large vicesimotertial neutral seventh
|-
|[[24/13]]
|1061.427339
|
|3u7, thu 7th
|M7<sub>13</sub>
|tridecimal neutral seventh
|-
|[[50/27]]
|1066.762425
|
|yoyo 7th, yy7
|M7<sup>5,5</sup>
|grave major seventh
|-
|[[13/7]]
|1071.701755
|
|3or7, thoru 7th
|m7<sup>13</sup><sub>7</sub>
|tridecimal submajor seventh, 16/3-tone
|-
|[[28/15]]
|1080.557192
|
|zg8, zogu octave
|d8<sup>7</sup><sub>5</sub>
| grave major seventh, octave minus a ruyo aug unison
|-
|[[15/8]]
|1088.268715
|
|y7, yo 7th
|M7<sup>5</sup>
| classic major seventh, just major seventh, octave-reduced 15th harmonic
|-
|[[32/17]]
|1095.044590
|
|17u7, su 7th
|M7<sub>17</sub>
| septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), [[octave-reduced]] 17th [[subharmonic]]
|-
|[[17/9]]
|1101.045408
|
|17o8, iso octave
|d8<sup>17</sup>
| septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
|-
|[[36/19]]
|1106.396986
|
|19u7, inu 7th
|M7<sub>19</sub>
|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
|d8<sup>19</sup><sub>5</sub>
|undevicesimal diminished octave, Eratosthenes' major seventh
|-
|[[40/21]]
|1115.532907
|
|ry7, ruyo 7th
|M7<sup>5</sup><sub>7</sub>
|septimal acute major seventh
|-
|[[61/32]]
|1116.884905
|
|61o7, siwo 7th
|M7<sup>61</sup>
|octave-reduced 61st harmonic
|-
|[[21/11]]
|1119.462965
|
|1uz8, luzo 8ve
|P8<sup>7</sup><sub>11</sub>
|large undecimal diminished octave, undecimal major seventh
|-
|[[44/23]]
|1123.043595
|
|23u1o7, twethulo 7th
|d8<sup>11</sup><sub>23</sub>
|small vicesimotertial major seventh
|-
|[[23/12]]
|1126.319346
|
|23o8, twetho 8ve
|M7<sup>23</sup>
|large vicesimotertial major seventh
|-
|[[48/25]]
|1129.327573
|
|gg8, gugu octave
|d8<sub>25</sub>
|classic diminished octave
|-
|[[25/13]]
|1132.099766
|
|3uyy7, thuyoyo 7th
|A7<sup>5,5</sup><sub>13</sub>
|lesser tridecimal diminished octave
|-
|[[27/14]]
|1137.039096
|
|r7, ru 7th
| M7<sub>7</sub>
|supermajor seventh, septimal major seventh
|-
|[[31/16]]
|1145.035572
|
|31o7, thiwo 7th
|M7<sup>31</sup>
|tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
|-
|[[64/33]]
|1146.727057
|
|1u8, lu octave
| P8<sub>11</sub>
|undecimal semidiminished octave, octave-reduced 33rd subharmonic
|-
|[[35/18]]
|1151.239619
|
|zy8, zoyo octave
|P8<sup>35</sup>
|septimal semidiminished octave
|-
|[[96/49]]
|1164.303188
|
|rr7, ruru 7th
|M7<sub>49</sub>
|septimal ultramajor seventh
|-
|[[49/25]]
| 1165.024385
|
|zzgg9, bizogu 9th
|d9<sup>49</sup><sub>25</sub>
|BP eighth
|-
|[[160/81]]
|1178.493814
|
|y8, yo octave
|P8<sup>5</sup>
|octave minus syntonic comma
|-
|[[2/1]]
| 1200
|
|w8, wa octave
|P8
|[[Octave|octave]], [[Wikipedia:Diapason|diapason]]
|}
<references />
 
=== Intervals larger than an octave ===
In the color names, "co" or "c" stands for compound, {{w|Interval (music) #Compound intervals|a conventional music term}}. {{todo|add color name}}
{| class="wikitable sortable right-3"
|-
! Frequency Ratio
! Cents Value<br>(3 dec. pl.)
![[Sagittal notation|Sagittal <br> notation]]
! colspan="2" |[[Color notation|Color Name]]
! FJS Name
! Some common names
|-
| [[27/13]]
| 1265.337
| <ref>The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.</ref>&numsp;&numsp;&numsp;
| 3u8
| thu8ve
| A8<sub>13</sub>
| Luxembourg eighth
|-
| [[23/11]]
| 1276.956
|
| 23o1u9
| twetholu 9th
| A8<sup>23</sup><sub>11</sub>
| vicesimotertial minor ninth
|-
| [[19/9]]
| 1293.603
|
| 19o9
| ino 9th
| m9<sup>19</sup>
| undevicesimal minor ninth
|-
| [[17/8]]
| 1304.955
|
| 17o9
| iso 9th
| m9<sup>17</sup>
| septendecimal minor ninth
|-
| [[32/15]]
| 1311.731
|
| g9
| gu 9th
| m9<sub>5</sub>
| classic minor ninth
|-
| [[15/7]]
| 1319.443
|
| ry8
| ruyo 8ve
| A8<sup>5</sup><sub>7</sub>
| septimal minor ninth
|-
| [[13/6]]
| 1338.573
|
| 3o9
| tho 9th
| m9<sup>13</sup>
| tridecimal minor ninth, tridecimal neutral ninth
|-
| [[11/5]]
| 1365.004
|
| 1o9
| ilo 9th
| m9<sup>11</sup><sub>5</sub>
| neutral ninth
|-
| [[20/9]]
| 1382.404
|
| y9
| yo 9th
| M9<sup>5</sup>
| Ptolemaic ninth
|-
| [[9/4]]
| 1403.910
|
| w9
| wa 9th
| M9
| major ninth
|-
| [[16/7]]
| 1431.174
|
| r9
| ru 9th
| M9<sub>7</sub>
| septimal major ninth
|-
| [[7/3]]
| 1466.871
|
| z10
| zo 10th
| m10<sup>7</sup>
| septimal minor tenth
|-
| [[19/8]]
| 1497.513
|
| 19o3
| ino 10th
|
| undevicesimal minor tenth
|-
| [[12/5]]
| 1515.641
|
| g10
| gu 10th
| m10<sub>5</sub>
| classic minor tenth
|-
| [[17/7]]
| 1536.130
|
| 17or10
| soru 10tg
| m10<sup>17</sup><sub>7</sub>
| septendecimal minor tenth
|-
| [[27/11]]
| 1554.547
|
| c1u3
| colu 3rd
| M10<sub>11</sub>
| rastmic neutral tenth
|-
| [[5/2]]
| 1586.314
|
| y10
| yo 10th
| M10<sup>5</sup>
| classic major tenth
|-
| [[18/7]]
| 1635.084
|
| r10
| ru 10th
|
| septimal supermajor tenth
|-
| [[13/5]]
| 1654.214
|
| 3og11
|  thogu 11th
| d11<sup>13</sup><sub>5</sub>
| tridecimal eleventh
|-
| [[21/8]]
| 1670.781
|
| z11
| zo 11th
|
| septimal subeleventh
|-
| [[8/3]]
| 1698.045
|
| w11, cw4
| wa 11th, cowa 4th
| P11
| perfect eleventh
|-
| [[19/7]]
| 1728.687
|
| 19or11
| noru 11th
|
| undevicesimal supereleventh
|-
| [[11/4]]
| 1751.318
|
| 1o11, c1o4
| ilo 11th, colo 4th
| P11<sup>11</sup>
| undecimal semi-augmented eleventh
|-
| [[14/5]]
| 1782.512
|
| zg12, czg5
| zogu 12th, cozogu 5th
| d12<sup>7</sup><sub>5</sub>
| short septimal navatone
|-
| [[17/6]]
| 1803.000
|
| 17o12
| iso 12th
| d12<sup>17</sup>
| septendecimal navatone
|-
| [[20/7]]
| 1817.488
|
| ry11
| ruyo 11th
| A11<sup>5</sup><sub>7</sub>
| tall septimal navatone
|-
| [[23/8]]
| 1828.274
|
| 23o12
| twetho 12th
| A11<sup>23</sup>
| trivigintal navatone
|-
| [[35/12]]
| 1853.185
|
| zy12, czy5
| zoyo 12th, cozoyo 5th
|
| septimal semi-diminished twelfth
|-
| [[3/1]]
| 1901.955
|
| w12, cw5
| wa 12th, cowa 5th
| P12
| 3rd harmonic, perfect twelfth, tritave
|-
| [[28/9]]
| 1964.916
|
| z13, cz6
| zo 13th, cozo 6th
|
| septimal subminor thirteenth
|-
| [[19/6]]
| 1995.558
|
| 19o13, c19o6
| ino 13th, cono 6th
|
| undevicesimal minor thirteenth
|-
| [[16/5]]
| 2013.686
|
| g13, cg6
| gu 13th, cogu 6th
| m13<sub>5</sub>
| classic minor thirteenth
|-
| [[13/4]]
| 2040.528
|
| 3o13, c3o6
| tho 13th, cotho 6th
| m13<sup>13</sup>
| tridecimal neutral thirteenth
|-
| [[23/7]]
| 2059.448
|
| c23or13, c23or6
| cotwethoru 6th
|
| trivigintal neutral/submajor thirteenth
|-
| [[10/3]]
| 2084.359
|
| y13, cy6
| yo 13th, coyo 6th
| M13<sup>5</sup>
| just/classic(al)/ptolemaic major thirteenth
|-
| [[17/5]]
| 2118.642
|
| c17og7
| cosogu 7th
| d14<sup>17</sup><sub>5</sub>
| septendecimal major thirteenth
|-
| [[24/7]]
| 2133.129
|
| r13, cr6
| ru 13th, coru 6th
|
| septimal supermajor thirteenth
|-
| [[7/2]]
| 2168.826
|
| cz7
| cozo 7th
| m14<sup>7</sup>
| harmonic fourteenth
|-
| [[32/9]]
| 2196.090
|
| cw7
| cowa 7th
|
| 3-limit minor fourteenth
|-
| [[18/5]]
| 2217.596
|
| cg7
| cogu 7th
| m14<sub>5</sub>
| 5-limit minor fourteenth
|-
| [[11/3]]
| 2249.363
|
| c1o7
| colo 7th
| m14<sup>11</sup>
| undecimal neutral fourteenth
|-
| [[15/4]]
| 2288.269
|
| cy7
| coyo 7th
| M14<sup>5</sup>
| just/classic(al)/ptolemaic major fourteenth
|-
| [[19/5]]
| 2311.199
|
| c19og8
| nogu double 8ve
|
| undevicesimal major fourteenth
|-
| [[35/9]]
| 2351.230
|
| czy8
| zoyo double 8ve
|
| septimal semi-augmented fourteenth
|-
| [[4/1]]
| 2400.000
|
| cw8, ccw1
| wa double 8ve
| P15
| 4th harmonic, two octaves, just double octave
|-
| [[81/20]]
| 2421.506
|
| cg8, ccg1
| gu double 8ve
| P15<sub>5</sub>
| syntonic double octave
|-
| [[25/6]]
| 2470.672
|
| cyy8, ccyy1
| yoyo double 8ve
|
| classic chromatic minor sixteenth
|-
| [[17/4]]
| 2504.955
|
| c17o9, cc17o2
| coso 9th, cocoso 2nd
| m16<sup>17</sup>
| septendecimal minor sixteenth
|-
| [[64/15]]
| 2511.731
|
| cg9, ccg2
| cogu 9th, cocogu 2nd
| m16<sub>5</sub>
| classic minor sixteenth
|-
| [[13/3]]
| 2538.573
|
| c3o9, cc3o2
| cotho 9th, cocotho 2nd
| m16<sup>13</sup>
| tridecimal minor sixteenth
|-
| [[22/5]]
| 2565.004
|
| c1og9, cc1og2
| coco-logu 2nd
|
| large undecimal neutral sixteenth
|-
| [[9/2]]
| 2603.910
|
| cw9, ccw2
| cowa 9th, cocowa 2nd
| M16
| classic large major sixteenth
|-
| [[23/5]]
| 2641.961
|
| cc23og3
| coco-twethogu 3rd
|
| trivigintal supermajor sixteenth
|-
| [[14/3]]
| 2666.871
|
| ccz3
| cocozo 3rd
| m17<sup>7</sup>
| septimal subminor seventeenth
|-
| [[19/4]]
| 2696.513
|
| cc19o3
| cocono 3rd
|
| undevicesimal minor seventeenth
|-
| [[24/5]]
| 2715.641
|
| ccg3
| cocogu 3rd
|
| classic minor seventeenth
|-
| [[44/9]]
| 2747.408
|
| cc1o3
| cocolo 3rd
|
| undecimal neutral seventeenth
|-
| [[5/1]]
| 2786.314
|
| ccy3
| cocoyo 3rd
| M17<sup>5</sup>
| 5th harmonic, pentave
|-
| [[36/7]]
| 2835.084
|
| ccr3
| cocoru 3rd
|
| septimal supermajor seventeenth
|-
| [[21/4]]
| 2870.781
|
| ccz4
| cocozo 4th
|
| septimal subeighteenth
|-
| [[16/3]]
| 2898.045
|
| ccw4
| cocowa 4th
| P18
| perfect eighteenth
|-
| [[27/5]]
| 2919.551
|
| ccg4
| cocogu 4th
|
| 5-limit supereighteenth
|-
| [[11/2]]
| 2951.318
|
| cc1o4
| cocolo 4th
| P18<sup>11</sup>
| undecimal semi-augmented eighteenth
|-
| [[28/5]]
| 2982.512
|
| cczg5
| coco-zogu 5th
| d19<sup>7</sup><sub>5</sub>
| short septimal panchadashatone
|-
| [[45/8]]
| 2990.224
|
| ccy4
| cocoyo 4th
| A18<sup>5</sup>
| quinquadragintimal panchadashatone
|-
| [[17/3]]
| 3003.000
|
| cc17o5
| cocoso 5th
| d19<sup>17</sup>
| septendecimal panchadasatone
|-
| [[40/7]]
| 3017.488
|
| ccry4
| coco-ruyo 4th
| A18<sup>5</sup><sub>7</sub>
| tall septimal panchadashatone
|-
| [[23/4]]
| 3028.274
|
| cc23o5
| coco-twetho 5th
|
| vicesimotertial panchadashatone
|-
| [[35/6]]
| 3053.185
|
| cczy5
| coco-zoyo 5th
|
| septimal semi-diminished nineteenth
|-
| [[6/1]]
| 3101.955
|
| ccw5
| cocowa 5th
| P19
| 6th harmonic
|-
| [[55/9]]
| 3133.722
|
| cc1og5
| coco-logu 5th
|
| undecimal superninteenth
|-
| [[25/4]]
| 3172.627
|
| ccyy5
| coco-yoyo 5th
|
| 5-limit subminor twentieth
|-
| [[19/3]]
| 3195.558
|
| cc19o6
| cocono 6th
|
| undevicesimal minor twentieth
|-
| [[32/5]]
| 3213.686
|
| ccg6
| cocogu 6th
|
| classic minor twentieth
|-
| [[13/2]]
| 3240.528
|
| cc3o6
| cocotho 6th
| m20<sup>13</sup>
| tridecimal neutral twentieth
|-
| [[20/3]]
| 3284.359
|
| ccy6
| cocoyo 6th
|
| classic major twentieth
|-
| [[48/7]]
| 3333.129
|
| ccr6
| cocoru 6th
|
| septimal supermajor twentieth
|-
| [[7/1]]
| 3368.826
|
| ccz7
| cocozo 7th
| m21<sup>7</sup>
| 7th harmonic
|-
| [[36/5]]
| 3417.596
|
| ccg7
| cocogu 7th
|
| 5-limit minor twentyfirst
|-
| [[22/3]]
| 3449.363
|
| cc1o7
| cocolo 7th
|
| undecimal neutral twentyfirst
|-
| [[15/2]]
| 3488.269
|
| ccy7
| cocoyo 7th
| M21<sup>5</sup>
| just/classic(al)/ptolemaic major twentyfirst
|-
| [[23/3]]
| 3526.319
|
| c<sup>3</sup>23o1
| twetho triple 8ve
|
| vicesimotertial supermajor twentyfirst
|-
| [[31/4]]
| 3545.036
|
| c<sup>3</sup>31o1
| thiwo triple 8ve
|
| 31-limit semi-augmented twentyfirst
|-
| [[8/1]]
| 3600.000
|
| c<sup>3</sup>w1
| wa triple 8ve
| P22
| 8th harmonic, three octaves
|-
| [[33/4]]
| 3653.273
|
| c<sup>3</sup>1o1
| ilo triple 8ve
|
| undecimal semi-diminished twentythird
|-
| [[25/3]]
| 3670.672
|
| c<sup>3</sup>yy1
| yoyo triple 8ve
|
| classic chromatic twentythird
|-
| [[17/2]]
| 3704.955
|
| c<sup>3</sup>17o2
| tricoso 2nd
|
| septendecimal minor twentythird
|-
| [[128/15]]
| 3711.731
|
| c<sup>3</sup>g2
| tricogu 2nd
| m23<sub>5</sub>
| classic minor twenty-third
|-
| [[26/3]]
| 3738.573
|
| c<sup>3</sup>3o2
| tricotho 2nd
|
| tridecimal neutral twentythird
|-
| [[35/4]]
| 3755.140
|
| c<sup>3</sup>zy2
| trico-zoyo 2nd
|
| septimal neutral twentythird
|-
| [[9/1]]
| 3803.910
|
| c<sup>3</sup>w2
| tricowa 2nd
| M23
| 9th harmonic
|-
| [[10/1]]
| 3986.314
|
| c<sup>3</sup>y3
| tricoyo 3rd
| M24<sup>5</sup>
| 10th harmonic, decade
|-
| [[11/1]]
| 4151.318
|
| c<sup>3</sup>1o4
| tricolo 4th
| P25<sup>11</sup>
| 11th harmonic
|-
| [[12/1]]
| 4301.955
|
| c<sup>3</sup>w5
| tricowa 5th
| P26
| 12th harmonic
|-
| [[13/1]]
| 4440.528
|
| c<sup>3</sup>3o6
| tricotho 6th
| m27<sup>13</sup>
| 13th harmonic
|-
| [[14/1]]
| 4568.826
|
| c<sup>3</sup>z7
| tricozo 7th
| m28<sup>7</sup>
| 14th harmonic
|-
| [[15/1]]
| 4688.269
|
| c<sup>3</sup>y7
| tricoyo 7th
| M28<sup>5</sup>
| 15th harmonic
|-
| [[16/1]]
| 4800.000
|
| c<sup>4</sup>w1
| wa quadruple 8ve
| P29
| 16th harmonic, four octaves
|-
| [[17/1]]
| 4904.955
|
| c<sup>4</sup>17o2
| quadcoso 2nd
| m30<sup>17</sup>
| 17th harmonic
|-
| [[256/15]]
| 4911.731
|
| c<sup>4</sup>g2
| quadcogu 2nd
| m30<sub>5</sub>
| classic minor thirtieth
|-
| [[18/1]]
| 5004.910
|
| c<sup>4</sup>w2
| quadcowa 2nd
| M30
| 18th harmonic
|-
| [[19/1]]
| 5097.513
|
| c<sup>4</sup>19o3
| quadcono 3rd
| m31<sup>19</sup>
| 19th harmonic
|-
| [[20/1]]
| 5186.314
|
| c<sup>4</sup>y3
| quadcoyo 3rd
| M31<sup>5</sup>
| 20th harmonic
|-
| [[21/1]]
| 5270.781
|
| c<sup>4</sup>z4
| quadcozo 4th
| P32<sup>7</sup>
| 21st harmonic
|-
| [[22/1]]
| 5351.318
|
| c<sup>4</sup>1o4
| quadcolo 4th
| P32<sup>11</sup>
| 22nd harmonic
|-
| [[23/1]]
| 5428.274
|
| c<sup>4</sup>23o5
| quadco-twetho 5th
| A32<sup>23</sup>
| 23rd harmonic
|-
| [[24/1]]
| 5501.955
|
| c<sup>4</sup>w5
| quadcowa 5th
| P33
| 24th harmonic
|-
| [[25/1]]
| 5572.617
|
| c<sup>4</sup>yy5
| quadco-yoyo 5th
| A33<sup>5,5</sup>
| 25th harmonic
|-
| [[27/1]]
| 5705.865
|
| c<sup>4</sup>w6
| quadcowa 6th
| M34
| 27th harmonic
|-
| [[29/1]]
| 5829.577
|
| c<sup>4</sup>29o7
| quadco-tweno 7th
| m35<sup>29</sup>
| 29th harmonic
|-
| [[31/1]]
| 5945.036
|
| c<sup>4</sup>31o7
| quadco-thiwo 7th
| M35<sup>31</sup>
| 31st harmonic
|-
| [[49/1]]
| 6737.652
|
|c<sup>5</sup>zz6
|quinco-zozo 6th
| M41<sup>7,7</sup>
| 49th harmonic
|}
<references />

Latest revision as of 22:24, 11 April 2025

Gallery of just intervals

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

If any FJS names are missing, please add them.

Frequency Ratio Cents Value
(6 dec. pl.) 		Sagittal
notation 		Color Name FJS Name Some common names
1/1 0 [1]   ⁠ ⁠   w1, wa unison P1 unity, perfect prime, Tonic
32805/32768 1.953721 ⁠ ⁠⁠ ⁠⁠ ⁠⁠ ⁠⁠ ⁠   Ly-2, Layo comma d-25 schisma ([-15, 8, 1⟩)
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 septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
49/48 35.696812 zz2, Zozo comma m249 large septimal diesis, slendro diesis
45/44 38.905773 1uy1, Luyo comma A1511 undecimal 1/5th 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
13/11 289.209719 3o1u3, tholu 3rd m31311 tridecimal 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
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
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
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
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
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
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
27/20 519.551289 g4, gu 4th P45 acute fourth, wolf fourth
875/648 519.94704 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 undecimal augmented fourth, subaugmented fourth
26/19 543.014646 19u3o4, nutho 4th P41319 undevicesimal superfourth
48/35 546.815381 rg4, rugu 4th P435 septimal super-fourth
11/8 551.317942 1o4, ilo 4th P411 super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, 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⟩)
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
99/70 600.088324 1org4, lorugu 4th P41135 homothetic 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⟩)
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, octave-reduced 11th subharmonic
35/24 653.184619 zy5, zoyo 5th P535 septimal sub-fifth
19/13 656.985354 19o3u5, nothu 5th P51913 undevicesimal subfifth
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
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
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⟩)
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
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
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
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
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
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
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
160/81 1178.493814 y8, yo octave P85 octave minus syntonic comma
2/1 1200 w8, wa octave P8 octave, diapason
  1. ↑ The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.

Intervals larger than an octave

In the color names, "co" or "c" stands for compound, a conventional music term.

Frequency Ratio Cents Value
(3 dec. pl.) 		Sagittal
notation 		Color Name FJS Name Some common names
27/13 1265.337 [1]    3u8 thu8ve A813 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
16/7 1431.174 r9 ru 9th M97 septimal major ninth
7/3 1466.871 z10 zo 10th m107 septimal minor tenth
19/8 1497.513 19o3 ino 10th undevicesimal minor tenth
12/5 1515.641 g10 gu 10th m105 classic minor tenth
17/7 1536.130 17or10 soru 10tg m10177 septendecimal minor tenth
27/11 1554.547 c1u3 colu 3rd M1011 rastmic neutral tenth
5/2 1586.314 y10 yo 10th M105 classic major tenth
18/7 1635.084 r10 ru 10th septimal supermajor tenth
13/5 1654.214 3og11 thogu 11th d11135 tridecimal eleventh
21/8 1670.781 z11 zo 11th septimal subeleventh
8/3 1698.045 w11, cw4 wa 11th, cowa 4th P11 perfect eleventh
19/7 1728.687 19or11 noru 11th undevicesimal supereleventh
11/4 1751.318 1o11, c1o4 ilo 11th, colo 4th P1111 undecimal semi-augmented eleventh
14/5 1782.512 zg12, czg5 zogu 12th, cozogu 5th d1275 short septimal navatone
17/6 1803.000 17o12 iso 12th d1217 septendecimal navatone
20/7 1817.488 ry11 ruyo 11th A1157 tall septimal navatone
23/8 1828.274 23o12 twetho 12th A1123 trivigintal navatone
35/12 1853.185 zy12, czy5 zoyo 12th, cozoyo 5th septimal semi-diminished twelfth
3/1 1901.955 w12, cw5 wa 12th, cowa 5th P12 3rd harmonic, perfect twelfth, tritave
28/9 1964.916 z13, cz6 zo 13th, cozo 6th septimal subminor thirteenth
19/6 1995.558 19o13, c19o6 ino 13th, cono 6th undevicesimal minor thirteenth
16/5 2013.686 g13, cg6 gu 13th, cogu 6th m135 classic minor thirteenth
13/4 2040.528 3o13, c3o6 tho 13th, cotho 6th m1313 tridecimal neutral thirteenth
23/7 2059.448 c23or13, c23or6 cotwethoru 6th trivigintal neutral/submajor thirteenth
10/3 2084.359 y13, cy6 yo 13th, coyo 6th M135 just/classic(al)/ptolemaic major thirteenth
17/5 2118.642 c17og7 cosogu 7th d14175 septendecimal major thirteenth
24/7 2133.129 r13, cr6 ru 13th, coru 6th septimal supermajor thirteenth
7/2 2168.826 cz7 cozo 7th m147 harmonic fourteenth
32/9 2196.090 cw7 cowa 7th 3-limit minor fourteenth
18/5 2217.596 cg7 cogu 7th m145 5-limit minor fourteenth
11/3 2249.363 c1o7 colo 7th m1411 undecimal neutral fourteenth
15/4 2288.269 cy7 coyo 7th M145 just/classic(al)/ptolemaic major fourteenth
19/5 2311.199 c19og8 nogu double 8ve undevicesimal major fourteenth
35/9 2351.230 czy8 zoyo double 8ve septimal semi-augmented fourteenth
4/1 2400.000 cw8, ccw1 wa double 8ve P15 4th harmonic, two octaves, just double octave
81/20 2421.506 cg8, ccg1 gu double 8ve P155 syntonic double octave
25/6 2470.672 cyy8, ccyy1 yoyo double 8ve classic chromatic minor sixteenth
17/4 2504.955 c17o9, cc17o2 coso 9th, cocoso 2nd m1617 septendecimal minor sixteenth
64/15 2511.731 cg9, ccg2 cogu 9th, cocogu 2nd m165 classic minor sixteenth
13/3 2538.573 c3o9, cc3o2 cotho 9th, cocotho 2nd m1613 tridecimal minor sixteenth
22/5 2565.004 c1og9, cc1og2 coco-logu 2nd large undecimal neutral sixteenth
9/2 2603.910 cw9, ccw2 cowa 9th, cocowa 2nd M16 classic large major sixteenth
23/5 2641.961 cc23og3 coco-twethogu 3rd trivigintal supermajor sixteenth
14/3 2666.871 ccz3 cocozo 3rd m177 septimal subminor seventeenth
19/4 2696.513 cc19o3 cocono 3rd undevicesimal minor seventeenth
24/5 2715.641 ccg3 cocogu 3rd classic minor seventeenth
44/9 2747.408 cc1o3 cocolo 3rd undecimal neutral seventeenth
5/1 2786.314 ccy3 cocoyo 3rd M175 5th harmonic, pentave
36/7 2835.084 ccr3 cocoru 3rd septimal supermajor seventeenth
21/4 2870.781 ccz4 cocozo 4th septimal subeighteenth
16/3 2898.045 ccw4 cocowa 4th P18 perfect eighteenth
27/5 2919.551 ccg4 cocogu 4th 5-limit supereighteenth
11/2 2951.318 cc1o4 cocolo 4th P1811 undecimal semi-augmented eighteenth
28/5 2982.512 cczg5 coco-zogu 5th d1975 short septimal panchadashatone
45/8 2990.224 ccy4 cocoyo 4th A185 quinquadragintimal panchadashatone
17/3 3003.000 cc17o5 cocoso 5th d1917 septendecimal panchadasatone
40/7 3017.488 ccry4 coco-ruyo 4th A1857 tall septimal panchadashatone
23/4 3028.274 cc23o5 coco-twetho 5th vicesimotertial panchadashatone
35/6 3053.185 cczy5 coco-zoyo 5th septimal semi-diminished nineteenth
6/1 3101.955 ccw5 cocowa 5th P19 6th harmonic
55/9 3133.722 cc1og5 coco-logu 5th undecimal superninteenth
25/4 3172.627 ccyy5 coco-yoyo 5th 5-limit subminor twentieth
19/3 3195.558 cc19o6 cocono 6th undevicesimal minor twentieth
32/5 3213.686 ccg6 cocogu 6th classic minor twentieth
13/2 3240.528 cc3o6 cocotho 6th m2013 tridecimal neutral twentieth
20/3 3284.359 ccy6 cocoyo 6th classic major twentieth
48/7 3333.129 ccr6 cocoru 6th septimal supermajor twentieth
7/1 3368.826 ccz7 cocozo 7th m217 7th harmonic
36/5 3417.596 ccg7 cocogu 7th 5-limit minor twentyfirst
22/3 3449.363 cc1o7 cocolo 7th undecimal neutral twentyfirst
15/2 3488.269 ccy7 cocoyo 7th M215 just/classic(al)/ptolemaic major twentyfirst
23/3 3526.319 c323o1 twetho triple 8ve vicesimotertial supermajor twentyfirst
31/4 3545.036 c331o1 thiwo triple 8ve 31-limit semi-augmented twentyfirst
8/1 3600.000 c3w1 wa triple 8ve P22 8th harmonic, three octaves
33/4 3653.273 c31o1 ilo triple 8ve undecimal semi-diminished twentythird
25/3 3670.672 c3yy1 yoyo triple 8ve classic chromatic twentythird
17/2 3704.955 c317o2 tricoso 2nd septendecimal minor twentythird
128/15 3711.731 c3g2 tricogu 2nd m235 classic minor twenty-third
26/3 3738.573 c33o2 tricotho 2nd tridecimal neutral twentythird
35/4 3755.140 c3zy2 trico-zoyo 2nd septimal neutral twentythird
9/1 3803.910 c3w2 tricowa 2nd M23 9th harmonic
10/1 3986.314 c3y3 tricoyo 3rd M245 10th harmonic, decade
11/1 4151.318 c31o4 tricolo 4th P2511 11th harmonic
12/1 4301.955 c3w5 tricowa 5th P26 12th harmonic
13/1 4440.528 c33o6 tricotho 6th m2713 13th harmonic
14/1 4568.826 c3z7 tricozo 7th m287 14th harmonic
15/1 4688.269 c3y7 tricoyo 7th M285 15th harmonic
16/1 4800.000 c4w1 wa quadruple 8ve P29 16th harmonic, four octaves
17/1 4904.955 c417o2 quadcoso 2nd m3017 17th harmonic
256/15 4911.731 c4g2 quadcogu 2nd m305 classic minor thirtieth
18/1 5004.910 c4w2 quadcowa 2nd M30 18th harmonic
19/1 5097.513 c419o3 quadcono 3rd m3119 19th harmonic
20/1 5186.314 c4y3 quadcoyo 3rd M315 20th harmonic
21/1 5270.781 c4z4 quadcozo 4th P327 21st harmonic
22/1 5351.318 c41o4 quadcolo 4th P3211 22nd harmonic
23/1 5428.274 c423o5 quadco-twetho 5th A3223 23rd harmonic
24/1 5501.955 c4w5 quadcowa 5th P33 24th harmonic
25/1 5572.617 c4yy5 quadco-yoyo 5th A335,5 25th harmonic
27/1 5705.865 c4w6 quadcowa 6th M34 27th harmonic
29/1 5829.577 c429o7 quadco-tweno 7th m3529 29th harmonic
31/1 5945.036 c431o7 quadco-thiwo 7th M3531 31st harmonic
49/1 6737.652 c5zz6 quinco-zozo 6th M417,7 49th harmonic
  1. ↑ The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.
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