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xx{{User:Dave_Keenan/sagittal| (!/ }}x{{sagittal| (!/ }}xx<br>
== Gallery of just intervals ==
xx{{User:Dave_Keenan/sagittal| (|\ }}x{{sagittal| (|\ }}xx
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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