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{{User:Dave Keenan/sge| /¦ | \! | p | 81/80 | 5 comma }}
== Gallery of just intervals ==
== Gallery ==
See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]
=== Spartan single-shaft ===
{{User:Dave Keenan/sge|  ¦( |  !( | n  | 5120/5103 | 7/5 kleisma }}
{{User:Dave Keenan/sge| /¦  | \!  | p  |  81/80  | 5 comma }}
{{User:Dave Keenan/sge|  ¦) |  !) | t  | 5120/5103 | 7 comma }}
{{User:Dave Keenan/sge|//¦  |\\!  | ph  | 6561/6400 | 25 small diesis }}
{{User:Dave Keenan/sge| /¦) | \!) | pat |  36/35  | 35 medium diesis }}
{{User:Dave Keenan/sge| /¦\ | \!/ | pak |  33/32  | 11 medium diesis }}
{{User:Dave Keenan/sge| (¦) | (!) | jat |  729/704  | 11 large diesis }}
{{User:Dave Keenan/sge| (¦\ | (!/ | jak | 8505/8192 | 35 large diesis }}


=== Spartan multi-shaft ===
If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.
Multi-shaft sagittals are only used in the [[#Revo|Revo]] flavor of Sagittal.
{{User:Dave Keenan/sge| )¦¦( | )!!( | ph  | 6561/6400 | 25S }}
{{User:Dave Keenan/sge|  ¦¦) |  !!) | t  |  64/63  | 7C }}
{{User:Dave Keenan/sge|  ¦¦\ |  !!/ | p  |  81/80  | 5C }}
{{User:Dave Keenan/sge| /¦¦) | \!!) | n  | 5120/5103 | 7/5k }}
{{User:Dave Keenan/sge| /¦¦\ | \!!/ }}
{{User:Dave Keenan/sge|  ¦¦¦( |  !!!( | n  | 5120/5103 | 7/5k }}
{{User:Dave Keenan/sge| /¦¦¦  | \!!!  | p  |  81/80  | 5C }}
{{User:Dave Keenan/sge|  ¦¦¦) |  !!!) | t  |  64/63  | 7C }}
{{User:Dave Keenan/sge|//¦¦¦  |\\!!!  | ph  | 6561/6400 | 25S }}
{{User:Dave Keenan/sge| /¦¦¦) | \!!!) | pat |  36/35  | 35M }}
{{User:Dave Keenan/sge| /¦¦¦\ | \!!!/ | pak |  33/32  | 11M }}
{{User:Dave Keenan/sge| (¦¦¦) | (!!!) | jat |  729/704  | 11L }}
{{User:Dave Keenan/sge| (¦¦¦\ | (!!!/ | jak | 8505/8192 | 35L }}
{{User:Dave Keenan/sge| )X( | )Y( | ph  | 6561/6400 | 25S  | mid=48px }}
{{User:Dave Keenan/sge|  X) |  Y) | t  |  64/63  | 7C  | mid=48px }}
{{User:Dave Keenan/sge|  X\ |  Y/ | p  |  81/80  | 5C  | mid=48px }}
{{User:Dave Keenan/sge| /X) | \Y) | n  | 5120/5103 | 7/5k | mid=48px }}
{{User:Dave Keenan/sge| /X\ | \Y/ | mid=48px }}


=== Athenian extension single-shaft ===
{| class="wikitable sortable right-3"
{{User:Dave Keenan/sge| )¦( | )!( | ran | 896/891  | 11/7 kleisma }}
|-
{{User:Dave Keenan/sge| ~¦( | ~!( | san | 4131/4096 | 17 comma }}
! Frequency Ratio
{{User:Dave Keenan/sge| ¦\ | !/ | k  |   55/54  | 55 comma }}
! Cents Value <br> (6 dec. pl.)
{{User:Dave Keenan/sge| (¦  | (!  | j  |45927/45056| 11/7 comma }}
![[Sagittal notation|Sagittal <br> notation]]
{{User:Dave Keenan/sge| (¦( | (!( | jan |   45/44   | 11/5 small diesis }}
! [[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 />


=== Athenian extension multi-shaft ===
=== Intervals larger than an octave ===
Multi-shaft sagittals are only used in the [[#Revo|Revo]] flavor of Sagittal.
In the color names, "co" or "c" stands for compound, {{w|Interval (music) #Compound intervals|a conventional music term}}. {{todo|add color name}}
{{User:Dave Keenan/sge| ~¦¦( | ~!!( | jan |   45/44  | 11/5S }}
{| class="wikitable sortable right-3"
{{User:Dave Keenan/sge| )¦¦~ | )!!~ | j  |45927/45056| 11/7C }}
|-
{{User:Dave Keenan/sge| /¦¦  | \!!  | k  |   55/54  | 55C }}
! Frequency Ratio
{{User:Dave Keenan/sge| (¦¦( | (!!( | san | 4131/4096 | 17C }}
! Cents Value<br>(3 dec. pl.)
{{User:Dave Keenan/sge|//¦¦  |\\!!  | ran | 896/891  | 11/7k }}
![[Sagittal notation|Sagittal <br> notation]]
{{User:Dave Keenan/sge| )¦¦¦( | )!!!( | ran |  896/891  | 11/7k }}
! colspan="2" |[[Color notation|Color Name]]
{{User:Dave Keenan/sge| ~¦¦¦( | ~!!!( | san | 4131/4096 | 17C }}
! FJS Name
{{User:Dave Keenan/sge| ¦¦¦\ | !!!/ | k  |   55/54  | 55C }}
! Some common names
{{User:Dave Keenan/sge| (¦¦¦  | (!!!  | j  |45927/45056| 11/7C }}
|-
{{User:Dave Keenan/sge| (¦¦¦( | (!!!( | jan |   45/44   | 11/5S }}
| [[27/13]]
{{User:Dave Keenan/sge| ~X( | ~Y( | jan |   45/44  | 11/5S | mid=48px }}
| 1265.337
{{User:Dave Keenan/sge| )X~ | )Y~ | j  |45927/45056| 11/7C | mid=48px }}
| <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;
{{User:Dave Keenan/sge| /X  | \Y  | k  |   55/54  | 55C | mid=48px }}
| 3u8
{{User:Dave Keenan/sge| (X( | (Y( | san | 4131/4096 | 17C | mid=48px }}
| thu8ve
{{User:Dave Keenan/sge|//X  |\\Y  | ran | 896/891  | 11/7k | mid=48px }}
| 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 />
Retrieved from "https://en.xen.wiki/w/User:Dave_Keenan/sandbox"