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__FORCETOC__
The following is a '''gallery of many just intervals''' that contributors to this wiki have found notable. It is of course not meant to be comprehensive, and is not the result of a systematic search.
-----


=Introduction=
Do not be intimidated by all the common names: there is no need to memorise the names. For pretty much all use cases, is perfectly acceptable - preferred, even - to just refer to an interval by its [[ratio]] (e.g. 3/2, 5/4).


In [[JustIntonation|Just Intonation]], a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.
== Introduction ==
In [[just intonation]], a musical [[interval]] is specified as a ratio of two frequencies. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "[[consonance]]" means in a musical system, but in just intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance.  


What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.
In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.


This page lists links to dedicated pages for each interval.
What follows is a gallery of just intervals in ascending order from [[1/1]] to [[2/1]] and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it.


Explanation of the color names is [[Kite's_color_notation|here]].
This page lists links to dedicated pages for each interval, under the heading "frequency ratio".


-----
Said dedicated pages may include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. Readers are encouraged to add such things to the interval pages. If your contribution is unconventional, add your name or pseudonym so future readers know where the idea originated.


=Gallery of Just Intervals=
== Gallery of just intervals ==
See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]


See also [[List_of_Superparticular_Intervals|List of Superparticular Intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]
{| class="wikitable sortable right-3"
 
|-
<!-- what you could add is [[19-limit]] -->
! Frequency Ratio
 
! Cents Value <br> (7 sig. dig.)
{| class="wikitable"
! [[Sagittal notation|Sagittal <br> notation]]
! [[Color notation|Color Name]]
! [[Functional Just System|FJS Name]]
! class="unsortable" | Some common names
|-
| [[1/1]]
| 0.000000
| <ref group=note>The [[Sagittal]] column shows a pitch-class-sensitive [[Sagittal_notation#Athenian|Athenian]] [[Sagittal_notation#Evo|Evo]] notation with 1/1 = C. A white notehead {{sagittal|nhhf|size=300%}} indicates exact notation while black {{sagittal|nhbl|size=300%}} indicates approximation (typically within 2&#x202F;¢).</ref>&numsp;{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| w1, wa unison
| P1&numsp;&numsp;<ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref>
| unity, perfect prime, Tonic, unison
|-
| [[32805/32768]]
| 1.953721
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| Ly-2, Layoma
| d-2<sup>5</sup>
| schisma ({{Monzo|-15, 8, 1}})
|-
| [[256/255]]
| 6.775876
| {{sagittal| |( |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 17ug1, Suguma
| P1<sub>85</sub>
| charisma, charic comma, septendecimal kleisma
|-
| [[225/224]]
| 7.711523
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| ryy-2, Ruyoyoma
| d-2<sup>25</sup><sub>7</sub>
| septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}})
|-
| [[126/125]]
| 13.79477
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| zg<sup>3</sup>2, Zotriguma
| d2<sup>7</sup><sub>125</sub>
| septimal semicomma, starling comma ({{Monzo|1, 2, -3, 1}})
|-
| [[100/99]]
| 17.39948
| {{sagittal| ~|( |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 1uyy1, Luyoyoma
| A1<sup>25</sup><sub>11</sub>
| Ptolemy's comma, ptolemisma
|-
| [[99/98]]
| 17.57613
| {{sagittal| !( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| 1orr-2, Loruruma
| m-2<sup>11</sup><sub>49</sub>
| mothwellsma
|-
| [[2048/2025]]
| 19.55257
| {{sagittal| //| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| sgg2, Saguguma
| d2<sub>25</sub>
| diaschisma ({{Monzo|11, -4, -2}})
|-
| [[81/80]]
| 21.50629
| {{sagittal| /| |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| g1, Guma
| P1<sub>5</sub>
| meantone comma, syntonic comma, Didymus comma
|-
| [[531441/524288]]
| 23.46001
| {{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| LLw-2, Lalawama
| d-2
| Pythagorean comma, ditonic comma ({{Monzo|-19, 12}})
|-
| [[66/65]]
| 26.43157
| {{sagittal| |) |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| 3u1og1, Thuloguma
| P1<sup>11</sup><sub>65</sub>
| winmeanma
|-
| [[65/64]]
| 26.84138
| {{sagittal| |) |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| 3oy1, Thoyoma
| P1<sup>65</sup>
| wilsorma, 13th-partial chroma
|-
| [[64/63]]
| 27.26409
| {{sagittal| |) |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| r1, Ruma
| P1<sub>7</sub>
| septimal comma, Archytas' comma
|-
| [[3125/3072]]
| 29.61357
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| Ly<span style="vertical-align: super;">5</span>-2, Laquinyoma
| dd-2<sup>3125</sup>
| magic comma, small diesis ({{Monzo|-10, -1, 5}})
|-
| [[50/49]]
| 34.97562
| {{sagittal| )|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| rryy-2, Biruyoma
| d-2<sup>25</sup><sub>49</sub>
| small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
|-
| [[49/48]]
| 35.69681
| {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| zz2, Zozoma
| m2<sup>49</sup>
| large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma
|-
| [[45/44]]
| 38.90577
| {{sagittal|(|(|size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 1uy1, Luyoma
| A1<sup>5</sup><sub>11</sub>
| undecimal 1/5 tone
|-
| [[128/125]]
| 41.05886
| {{sagittal| (|\ |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| g<span style="vertical-align: super;">3</span>2, Triguma
| d2<sub>125</sub>
| diesis, minor diesis, augmented comma, enharmonic comma ({{Monzo|7, 0, -3}})
|-
| [[525/512]]
| 43.40834
| {{sagittal| //| |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| Lzyy1, Lazoyoyoma
| A1<sup>175</sup>
| Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}})
|-
| [[1053/1024]]
| 48.34767
| {{sagittal| (!/ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| L3o1, Lathoma
| P1<sup>13</sup>
| tridecimal quartertone, tridecimal flattone comma
|-
| [[36/35]]
| 48.77038
| {{sagittal| /|) |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| rg1, Ruguma
| P1<sub>35</sub>
| septimal quarter tone, double comma
|-
| [[250/243]]
| 49.16614
| {{sagittal| (!/ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| y<span style="vertical-align: super;">3</span>1, Triyoma
| A1<sup>125</sup>
| porcupine comma ({{Monzo|1, -5, 3}})
|-
| [[59049/57344]]
| 50.72410
| {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| Lr-2, Laruma
| d-2<sub>7</sub>
| Harrison's comma ({{Monzo|-13, 10, 0, -1}})
|-
| [[100/97]]
| 52.73202
| {{sagittal| (!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| 97uyy1, ninety-suyoyo unison
| A1<sup>25</sup><sub>97</sub>
| shrutar quarter tone
|-
| [[33/32]]
| 53.27294
| {{sagittal| /|\ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 1o1, ilo unison
| P1<sup>11</sup>
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
|-
| [[648/625]]
| 62.56515
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 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]]
| 62.96090
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| z2, zo 2nd
| m2<sup>7</sup>
| small septimal chroma, septimal third-tone, subminor second, septimal minor second
|-
| [[27/26]]
| 65.33734
| {{sagittal| (|\ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 3u1, thu unison
| A1<sub>13</sub>
| small tridecimal third tone
|-
| [[26/25]]
| 67.90023
| {{sagittal| \! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3ogg2, thogugu 2nd
| d2<sup>13</sup><sub>25</sub>
| large tridecimal third tone
|-
| [[25/24]]
| 70.67243
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| yy1, yoyo unison
| A1<sup>25</sup>
| chroma, classic chromatic semitone, Zarlinian semitone
|-
| [[24/23]]
| 73.68065
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 23u1, twethu unison
| m2<sub>23</sub>
| lesser vicesimotertial semitone
|-
|[[23/22]]
|76.95641
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
|23o1u2, twetholu 2nd
|A1<sup>23</sup><sub>11</sub>
|greater vicesimotertial semitone
|-
| [[68/65]]
| 78.11403
| {{sagittal| )!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 17o3ug2, sothugu 2nd
| m2<sup>17</sup><sub>65</sub>
| valentine semitone
|-
| [[22/21]]
| 80.53704
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 1or1, loru unison
| P1<sup>11</sup><sub>7</sub>
| undecimal minor semitone
|-
| [[64/61]]
| 83.11520
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 61u2, siwu 2nd
| m2<sub>61</sub>
| harry minor semitone
|-
| [[21/20]]
| 84.46719
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| zg2, zogu 2nd
| m2<sup>7</sup><sub>5</sub>
| minor semitone, large septimal chroma
|-
| [[20/19]]
| 88.80070
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 19uy1, nuyo unison
| A1<sup>5</sup><sub>19</sub>
| small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
|-
| [[256/243]]
| 90.22500
| {{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| sw2, sawa 2nd
| m2
| Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{Monzo|8, -5}})
|-
| [[135/128]]
| 92.17872
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| Ly1, layo unison
| A1<sup>5</sup>
| major limma ({{Monzo|-7, 3, 1}})
|-
| [[19/18]]
| 93.60301
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19o2, ino 2nd
| m2<sup>19</sup>
| large undevicesimal semitone, undevicesimal limma, Boethius' semitone
|-
| [[18/17]]
| 98.95459
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 17u1, su unison
| A1<sub>17</sub>
| small septendecimal semitone, Arabic lute index finger
|-
| [[17/16]]
| 104.9554
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 17o2, iso 2nd
| m2<sup>17</sup>
| large septendecimal semitone, octave-reduced 17th harmonic
|-
| [[16/15]]
| 111.7313
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| g2, gu 2nd
| m2<sub>5</sub>
| classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
|-
| [[2187/2048]]
| 113.6850
| {{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| Lw1, lawa unison
| A1
| apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ({{Monzo|-11, 7}})
|-
| [[77/72]]
| 116.2338
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1oz2, lozo 2nd
| m2<sup>77</sup>
| undecimal secor
|-
| [[15/14]]
| 119.4428
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| ry1, ruyo unison
| A1<sup>5</sup><sub>7</sub>
| septimal diatonic semitone
|-
| [[14/13]]
| 128.2982
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3uz2, thuzo 2nd
| M2<sup>7</sup><sub>13</sub>
| tridecimal 2/3-tone, trienthird, tridecimal supraminor second
|-
| [[27/25]]
| 133.2376
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| gg2, gugu 2nd
| m2<sub>25</sub>
| large limma
|-
| [[13/12]]
| 138.5727
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3o2, tho 2nd
| m2<sup>13</sup>
| tridecimal neutral second, tridecimal 2/3-tone
|-
| [[243/224]]
| 140.9491
| {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| Lr1, laru unison
| A1<sub>7</sub>
| septimal subtone ({{Monzo|-5, 5, 0, -1}})
|-
| [[88/81]]
| 143.4980
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1o2, ilo 2nd
| m2<sup>11</sup>
| undecimal subtone
|-
| [[25/23]]
| 144.3531
| {{sagittal| (!) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 23uyy1, twethuyoyo unison
| M2<sup>5,5</sup><sub>23</sub>
| small vicesimotertial neutral second
|-
| [[49/45]]
| 147.4281
| {{sagittal| (! |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| zzg3, zozogu 3rd
| d3<sup>49</sup><sub>5</sub>
| swetismic neutral second
|-
| [[12/11]]
| 150.6371
| {{sagittal| \!/ |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1u2, lu 2nd
| M2<sub>11</sub>
| small undecimal neutral second, 3/4-tone
|-
| [[35/32]]
| 155.1396
| {{sagittal| \!) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| zy2, zoyo 2nd
| M2<sup>35</sup>
| septimal neutral second
|-
|[[23/21]]
|157.4934
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
|23or2, twethoru 2nd
|A1<sup>23</sup><sub>7</sub>
|large vicesimotertial neutral second
|-
| [[78/71]]
| 162.7861
| {{sagittal| \\! |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 71u3o2, seventy-wutho 2nd
| m2<sup>13</sup><sub>71</sub>
| porcupine neutral second
|-
| [[11/10]]
| 165.0042
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 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]]
| 168.2132
| {{sagittal| /|\ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| rr1, ruru unison
| A1<sub>49</sub>
| Zalzal's mujannab
|-
| [[21/19]]
| 173.2679
| {{sagittal| (! |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19uz2, nuzo 2nd
| M2<sup>7</sup><sub>19</sub>
| large neutral undevicesimal second
|-
| [[10/9]]
| 182.4037
| {{sagittal| \! |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| y2, yo 2nd
| M2<sup>5</sup>
| classic (whole) tone, minor (whole) tone
|-
| [[49/44]]
| 186.3339
| {{sagittal| |( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1uzz3, luzozo 3rd
| m3<sup>49</sup><sub>11</sub>
| mothwellsmic major second
|-
| [[39/35]]
| 187.3430
| {{sagittal| ~!( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3org2, thorugu 2nd
| m2<sup>13</sup><sub>35</sub>
| animist major second
|-
| [[6272/5625]]
| 188.4870
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| szzg<sup>4</sup>4, sabizogugu 4th
| ddd4<sup>49</sup><sub>625</sub>
| double marvelous second, double marvelous (whole) tone
|-
| [[19/17]]
| 192.5576
| {{sagittal| )!( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19o17u2, nosu 2nd
| M2<sup>19</sup><sub>17</sub>
| quasi-meantone
|-
| [[28/25]]
| 196.1985
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| zgg3, zogugu 3rd
| d3<sup>7</sup><sub>25</sub>
| middle major second
|-
| [[55/49]]
| 199.9798
| {{sagittal| !) |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 1orry1, loruruyo unison
| A1<sup>55</sup><sub>49</sub>
| werckismic tone
|-
| [[64/57]]
| 200.5320
| {{sagittal| !( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19u2, inu 2nd
| M2<sub>19</sub>
| quasi-tempered whole tone, octave-reduced 57th subharmonic
|-
| [[9/8]]
| 203.9100
| {{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| w2, wa 2nd
| M2
| Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
|-
| [[26/23]]
| 212.2533
| {{sagittal| (| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 23u3o2, twethutho 2nd
| d3<sup>13</sup><sub>23</sub>
| vicesimotertial whole tone
|-
| [[17/15]]
| 216.6867
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 17og3, sogu 3rd
| d3<sup>17</sup><sub>5</sub>
| septendecimal whole tone, septendecimal eventone
|-
| [[25/22]]
| 221.3095
| {{sagittal| ~|( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1uyy2, luyoyo 2nd
| A2<sup>25</sup><sub>11</sub>
| ptolemismic whole tone, undecimal acute whole tone
|-
| [[729/640]]
| 225.4163
| {{sagittal| /| |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| Lg2, lagu 2nd
| M2<sub>5</sub>
| acute whole tone
|-
| [[57/50]]
| 226.8406
| {{sagittal| /|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 19ogg3, nogugu 3rd
| d3<sup>19</sup><sub>25</sub>
| devichromic supermajor second
|-
| [[8/7]]
| 231.1741
| {{sagittal| |) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| r2, ru 2nd
| M2<sub>7</sub>
| supermajor second, septimal whole tone, octave-reduced 7th subharmonic
|-
| [[63/55]]
| 235.1043
| {{sagittal| (!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1uzg3, luzogu 3rd
| m3<sup>7</sup><sub>55</sub>
| werckismic supermajor second
|-
| [[55/48]]
| 235.6767
| {{sagittal| (| |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1oy2, loyo 2nd
| M2<sup>55</sup>
| keenanismic supermajor second
|-
| [[224/195]]
| 240.0295
| {{sagittal| (|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 3uzg3, thuzogu 3rd
| m3<sup>7</sup><sub>65</sub>
| quasi-tempered 1/5-octave, "5EDO"-esque tone
|-
| [[23/20]]
| 241.9606
| {{sagittal| (|( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 23og3, twethogu 3rd
| M2<sup>23</sup><sub>5</sub>
| vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
|-
| [[15/13]]
| 247.7411
| {{sagittal| //| |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3uy2, thuyo 2nd
| A2<sup>5</sup><sub>13</sub>
| tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
|-
| [[97/84]]
| 249.1145
| {{sagittal| //| |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 97or2, ninety-soru 2nd
| M2<sup>97</sup><sub>7</sub>
| homothetic semifourth
|-
| [[81/70]]
| 252.2680
| {{sagittal| /|) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| rg2, rugu 2nd
| M2<sub>35</sub>
| septimal semi-augmented second, septimal ultramajor second
|-
| [[22/19]]
| 253.8049
| {{sagittal| /|) |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 19u1o2, nulo 2nd
| M2<sup>11</sup><sub>19</sub>
| undevicesimal semifourth, minimal minor third, godzilla semifourth
|-
| [[64/55]]
| 262.3683
| {{sagittal| (! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1ug3, lugu 3rd
| m3<sub>55</sub>
| keenanismic subminor third, octave-reduced 55th subharmonic
|-
| [[7/6]]
| 266.8709
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| z3, zo 3rd
| m3<sup>7</sup>
| subminor third, septimal minor third
|-
| [[90/77]]
| 270.0799
| {{sagittal| \!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1ury2, luruyo 2nd
| A2<sup>5</sup><sub>77</sub>
| swetismic subminor third
|-
| [[62/53]]
| 271.5310
| {{sagittal| \! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 53u31o2, fithu-thiwo 2nd
| M2<sup>31</sup><sub>53</sub>
| orwell subminor third
|-
| [[75/64]]
| 274.5824
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| yy2, yoyo 2nd
| A2<sup>25</sup>
| classic augmented second
|-
| [[27/23]]
| 277.5907
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| twethu 2nd, 23u2
| m3<sub>23</sub>
| vicesimotertial augmented second
|-
| [[20/17]]
| 281.3583
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 17uy2, suyo 2nd
| A2<sup>5</sup><sub>17</sub>
| septendecimal augmented second, septendecimal minor third, diatismic minor third
|-
| [[13/11]]
| 289.2097
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 3o1u3, tholu 3rd
| m3<sup>13</sup><sub>11</sub>
| tridecimal minor third
|-
| [[45/38]]
| 292.7107
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19uy2, nuyo 2nd
| A2<sup>5</sup><sub>19</sub>
| Eratosthenes' minor third
|-
| [[32/27]]
| 294.1350
| {{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| w3, wa 3rd
| m3
| Pythagorean minor third, octave-reduced 27th subharmonic
|-
| [[19/16]]
| 297.5130
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 19o3, ino 3rd
| m3<sup>19</sup>
| otonal minor third, octave-reduced 19th harmonic
|-
| [[289/243]]
| 300.1358
| {{sagittal| (| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 17oo4, soso 4th
| dd4<sup>17, 17</sup>
| semitonismic quasi-tempered minor third
|-
| [[25/21]]
| 301.8465
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| ryy2, ruyoyo 2nd
| A2<sup>25</sup><sub>7</sub>
| quasi-tempered minor third
|-
| [[61/51]]
| 309.9744
| {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDbl|size=400%}}&numsp;&numsp;
| 61o17u2, siwosu 2nd
| A2<sup>61</sup><sub>17</sub>
| myna third
|-
| [[6/5]]
| 315.6413
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| g3, gu 3rd
| m3<sub>5</sub>
| classic minor third, just minor third
|-
| [[77/64]]
| 320.1438
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1oz3, lozo 3rd
| m3<sup>77</sup>
| keenanismic minor third, octave-reduced 77th harmonic
|-
| [[135/112]]
| 323.3528
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| ry2, ruyo 2nd
| A2<sup>5</sup><sub>7</sub>
| large septimal minor third, marvelous minor third ({{Monzo|-4, 3, 1, -1}})
|-
| [[35/29]]
| 325.5624
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 29uzy3, twenuzoyo 3rd
| M3<sup>35</sup><sub>29</sub>
| doublewide minor third
|-
| [[23/19]]
| 330.7613
| {{sagittal| )|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 23o19u3, twethonu 3rd
| A2<sup>23</sup><sub>19</sub>
| vicesimotertial supraminor third
|-
| [[17/14]]
| 336.1295
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| 17or3, soru 3rd
| m3<sup>17</sup><sub>5</sub>
| septendecimal supraminor third
|-
| [[175/144]]
| 337.5433
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| zyy3, zoyoyo 3rd
| M3<sup>5,5,7</sup>
| keemic minor third
|-
| [[73/60]]
| 339.5208
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| 73og3, seventy-thogu 3rd
| m3<sup>73</sup><sub>5</sub>
| amity supraminor third
|-
| [[28/23]]
| 340.5516
| {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 23uz3, twethuzo 3rd
| d4<sup>7</sup><sub>23</sub>
| vicesimotertial neutral third
|-
| [[39/32]]
| 342.4827
| {{sagittal| (!/ |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 3o3, tho 3rd
| m3<sup>13</sup>
| lesser tridecimal neutral third, octave-reduced 39th harmonic
|-
| [[128/105]]
| 342.9054
| {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| rg3, rugu 3rd
| m3<sub>35</sub>
| quasi-tempered 2/7-octave, 105th subharmonic
|-
| [[625/512]]
| 345.2549
| {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| Ly<sup>4</sup>2, laquadyo 2nd
| AA2<sup>625</sup>
| 5-limit neutral third ({{Monzo|-9, 0, 4}})
|-
| [[11/9]]
| 347.4079
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1o3, ilo 3rd
| m3<sup>11</sup>
| undecimal neutral third
|-
| [[60/49]]
| 350.6169
| {{sagittal| (| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| rry2, ruruyo 2nd
| A2<sup>5</sup><sub>49</sub>
| smaller septimal neutral third, (purple 3rd)
|-
| [[49/40]]
| 351.3381
| {{sagittal| (! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| zzg4, zozogu 4th
| d4<sup>49</sup><sub>5</sub>
| larger septimal neutral third, (purple 3rd)
|-
| [[27/22]]
| 354.5471
| {{sagittal| \!/ |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1u3, lu 3rd
| M3<sub>11</sub>
| rastmic neutral third
|-
| [[16/13]]
| 359.4723
| {{sagittal| (|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 3u3, thu 3rd
| M3<sub>13</sub>
| greater tridecimal neutral third, octave reduced 13subharmonic
|-
|[[21/17]]
|365.8255
| {{sagittal| \\! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
|17uz3, suzo 3rd
|M3<sup>7</sup><sub>17</sub>
|septendecimal submajor third
|-
|[[26/21]]
|369.7468
| {{sagittal| (!( |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
|thoru 3rd, 3or3
|m3<sup>13</sup><sub>7</sub>
|tridecimal submajor third
|-
|[[51/41]]
|377.8480
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
|41u17o4, fowuso 4th
|d4<sup>17</sup><sub>41</sub>
|
|-
|[[56/45]]
|378.6022
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
|zg4, zogu 4th
|d4<sup>7</sup><sub>5</sub>
|narrow perde segah, marvelous major third
|-
| [[71/57]]
| 380.2285
| {{sagittal| !) |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| 71o19u3, seventy-wonu 3rd
| M3<sup>71</sup><sub>19</sub>
| witchcraft major third
|-
| [[76/61]]
| 380.6282
| {{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| 61u19o4, siwuno 4th
| d4<sup>19</sup><sub>61</sub>
| magic major third
|-
| [[96/77]]
| 381.8112
| {{sagittal| !) |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 1ur3, luru 3rd
| M3<sub>77</sub>
| undecimal perde segah, keenanismic major third
|-
| [[5/4]]
| 386.3137
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| y3, yo 3rd
| M3<sup>5</sup>
| classic major third, just major third, octave-reduced 5th harmonic
|-
|-
! | frequency ratio
| [[44/35]]
! | cents value
| 396.1783
 
| {{sagittal| )!( |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
(six decimal places)
| 1org3, lorugu 3rd
! | [[Kite's_color_notation|color notation]]
| n3<sup>11</sup><sub>5,7</sub>
! | some common names
| fwiwismic major third
|-
|-
| | [[1/1|1/1]]
| [[161/128]]
| | 0
| 397.1003
| | w1 = wa unison
| {{sagittal| )!( |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| | unity, perfect prime, Tonic
| 23oz4, twethozo 4th
| M3<sup>161</sup>
| just/Pythagorean major third meantone, octave-reduced 161th harmonic
|-
|-
| | [[32805/32768|32805/32768]]
| [[34/27]]
| | 1.953721
| 399.0904
| | Ly-2 = yo subcomma
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| |<nowiki> schisma, |-15, 8, 1</nowiki>&gt;
| 17o4, iso 4th
| d4<sup>17</sup>
| septendecimal quasi-tempered major third
|-
|-
| | [[225/224|225/224]]
| [[63/50]]
| | 7.711523
| 400.1085
| | ryy-2 = ruyoyo subcomma
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>&gt;
| zgg4, zogugu 4th
| d4<sup>7</sup><sub>25</sub>
| quasi-tempered major third
|-
|-
| | [[100/99|100/99]]
| [[24/19]]
| | 17.399484
| 404.4420
| | 1uyy1 = luyoyo comma
| {{sagittal| !( |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | Ptolemy's comma
| 19u3, inu 3rd
| M3<sub>19</sub>
| Boethius' major third
|-
|-
| | [[99/98|99/98]]
| [[81/64]]
| | 17.576131
| 407.8200
| | 1orr-2 = loruru comma
| {{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | Mothwellsma
| Lw3, lawa 3rd
| M3
| Pythagorean major third, octave-reduced 81st harmonic
|-
|-
| | 2048/2025
| [[19/15]]
| | 19.552569
| 409.2443
| | sgg2 = small gugu comma
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> |11, -4, -2</nowiki>&gt;
| 19og4, nogu 4th
| d4<sup>19</sup><sub>5</sub>
| Eratosthenes' major third
|-
|-
| | [[81/80|81/80]]
| [[33/26]]
| | 21.506286
| 412.7453
| | g1 = gu comma
| {{sagittal| |( |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| | Syntonic comma, Didymus comma
| 3u1o3, thulo 3rd
| M3<sup>11</sup><sub>13</sub>
| tridecimal major third
|-
|-
| | [[531441/524288|531441/524288]]
| [[80/63]]
| | 23.460010
| 413.5778
| | LLw-2 = wa comma
| {{sagittal| |( |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| |<nowiki> Pythagorean comma, Ditonic comma, |-19, 12</nowiki>&gt;
| ry3, ruyo 3rd
| M3<sup>5</sup><sub>7</sub>
| 5/7-kleismic major third
|-
|-
| | [[66/65|66/65]]
| [[14/11]]
| | 26.431568
| 417.5080
| | 3u1og1 = thulogu comma
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | Winmeanma
| 1uz4, luzo 4th
| P4<sup>7</sup><sub>11</sub>
| undecimal major third, undecimal diminished fourth
|-
|-
| | [[65/64|65/64]]
| [[23/18]]
| | 26.841376
| 424.3643
| | 3oy1 = thoyo comma
| {{sagittal| ~|( |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | Wilsorma, 13th-partial chroma
| 23o4, twetho 4th
| M3<sup>23</sup>
| vicesimotertial diminished fourth
|-
|-
| | [[64/63|64/63]]
| [[32/25]]
| | 27.264092
| 427.3726
| | r1 = ru comma
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | Septimal comma, Archytas' comma
| gg4, gugu 4th
| d4<sub>25</sub>
| classic diminished fourth
|-
|-
| | [[3125/3072|3125/3072]]
| [[41/32]]
| | 29.613568
| 429.0624
| | Ly<span style="vertical-align: super;">5</span>-2 = quintuple yo comma
| {{sagittal| /| |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| |<nowiki> Magic comma, small diesis, |-10, -1, 5</nowiki>&gt;
| 41o3, fowo 3rd
| M3<sup>41</sup>
| octave-reduced 41st harmonic, quadracesimoprimal supermajor third
|-
|-
| | [[50/49|50/49]]
| [[77/60]]
| | 34.975615
| 431.8751
| | rryy-2 = double ruyo comma
| {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
| 1ozg4, lozogu 4th
| d4<sup>77</sup><sub>5</sub>
| swetismic supermajor third
|-
|-
| | [[49/48|49/48]]
| [[9/7]]
| | 35.696812
| 435.0841
| | zz2 = zozo comma
| {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | large septimal diesis, slendro diesis
| r3, ru 3rd
| M3<sub>7</sub>
| supermajor third, septimal major third
|-
|-
| | [[45/44|45/44]]
| [[31/24]]
| | 38.905773
| 443.0806
| | 1uy1 = luyo comma
| {{sagittal| \!/ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | undecimal 1/5th tone
| 31o3, thiwo 3rd
| M3<sup>31</sup>
| sensi supermajor third
|-
|-
| | [[128/125|128/125]]
| [[22/17]]
| | 41.058858
| 446.3625
| | g<span style="vertical-align: super;">3</span>2 = triple gu comma
| {{sagittal| (|\ |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| |<nowiki> Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3</nowiki>&gt;
| 17u1o3, sulo 3rd
| M3<sup>11</sup><sub>17</sub>
| septendecimal supermajor third
|-
|-
| | [[525/512|525/512]]
| [[35/27]]
| | 43.408335
| 449.2746
| | Lyyb1 = large zoyoyo comma
| {{sagittal| \!) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>&gt;
| zy4, zoyo 4th
| P4<sup>35</sup>
| septimal semidiminished fourth
|-
|-
| | [[36/35|36/35]]
| [[83/64]]
| | 48.770381
| 450.0473
| | rg1 = rugu comma
| {{sagittal| \!) |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | double comma, septimal quarter tone
| 83o4
| P4<sup>83</sup>
| octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
|-
|-
| | [[250/243|250/243]]
| [[13/10]]
| | 49.166137
| 454.2139
| | y<span style="vertical-align: super;">3</span>1 = triple yo comma
| {{sagittal| \\! |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> Porcupine comma, |1, -5, 3</nowiki>&gt;
| 3og4, thogu 4th
| d4<sup>13</sup><sub>5</sub>
| tridecimal semisixth, Barbados third, tridecimal 9/4 tone
|-
|-
| | [[59049/57344|59049/57344]]
| [[30/23]]
| | 50.724102
| 459.9944
| | Lr-2 = large ru comma
| {{sagittal| (!( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> Harrison's comma, |-13, 10, 0, -1</nowiki>&gt;
| 23uy3, twethuyo 3rd
| P4<sup>5</sup><sub>23</sub>
| vicesimotertial ultramajor third
|-
|-
| | [[100/97|100/97]]
| [[64/49]]
| | 52.732017
| 462.3482
| | 97qyy1 = 97u yoyo quarter-tone
| {{sagittal| /|\ |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | shrutar quarter tone
| rr3, ruru 3rd
| M3<sub>49</sub>
| septatonic major third
|-
|-
| | [[33/32|33/32]]
| [[17/13]]
| | 53.272943
| 464.4277
| | j1 = lo quarter-tone
| {{sagittal| (! |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
| 17o3u4, sothu 4th
| P4<sup>17</sup><sub>13</sub>
| septendecimal sub-fourth
|-
|-
| | [[648/625|648/625]]
| [[21/16]]
| | 62.565148
| 470.7809
| | g<span style="vertical-align: super;">4</span>2 = quadruple gu 2nd
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> diminished comma, major diesis, |8, 4, -4</nowiki>&gt;
| z4, zo 4th
| P4<sup>7</sup>
| sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
|-
|-
| | [[28/27|28/27]]
| [[25/19]]
| | 62.960904
| 475.1144
| | b2 = zo 2nd
| {{sagittal| \!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | septimal chroma, small septimal chromatic semitone, septimal subminor second
| 19uyy3, nuyoyo 3rd
| A3<sup>5,5</sup><sub>19</sub>
| undevicesimal augmented third, undevicesimal grave fourth
|-
|-
| | [[25/24|25/24]]
| [[95/72]]
| | 70.672427
| 479.9167
| | yy1 = yoyo semitone
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | chroma, chromatic semitone, Zarlinian semitone
| 19oy4, noyo 4th
| P4<sup>5,19</sup>
| undevicesimal quasi-tempered 2/5-octave, undevicesimal "[[5edo|5EDO]]"-esque fourth
|-
|-
| | [[68/65|68/65]]
| [[128/97]]
| | 78.114034
| 480.1046
| | 17iog2 = sothugu 2nd
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | valentine semitone
| 97u4
| P4<sub>97</sub>
| nonacesimoseptimal subharmonic fourth
|-
|-
| | [[22/21|22/21]]
| [[33/25]]
| | 80.537035
| 480.6455
| | jr1 = loru semitone
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | undecimal minor semitone
| 1ogg4, logugu 4th
| d4<sup>11</sup><sub>25</sub>
| ptolemismic fourth, "5EDO"-esque fourth
|-
|-
| | [[64/61|64/61]]
| [[160/121]]
| | 83.115195
| 483.6778
| | 61q2 = sixty-wu 2nd
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | harry minor semitone
| 1uuy4, luluyo 4th
| A4<sup>5</sup><sub>11,11</sub>
| narrow biyatismic fourth
|-
|-
| | [[21/20|21/20]]
| [[324/245]]
| | 84.467193
| 483.8545
| | bg2 = zogu 2nd
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | minor semitone, large septimal chromatic semitone
| rrg3, rurugu 3rd
| M3<sub>5,7,7</sub>
| sensamagic fourth
|-
|-
| | [[256/243|256/243]]
| [[85/64]]
| | 90.224996
| 491.2691
| | sw2 = small wa 2nd
| {{sagittal| !( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> Pythagorean limma, Pythagorean minor second, |8, -5</nowiki>&gt;
| 17oy4, soyo 4th
| P4<sup>85</sup>
| archagall fourth, septendecimal harmonic fourth
|-
|-
| | [[135/128|135/128]]
| [[117/88]]
| | 92.178716
| 493.1197
| | Ly1 = large yo semitone
| {{sagittal| !( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| |<nowiki> major limma, |-7, 3, 1</nowiki>&gt;
| 3o1u4, tholu 4th
| P4<sup>13</sup><sub>11</sub>
| minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
|-
|-
| | [[18/17|18/17]]
| [[4/3]]
| | 98.954592
| 498.0450
| | 17q1 = su semitone
| {{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | small septendecimal semitone, Arabic lute index finger
| w4, wa 4th
| P4
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
|-
|-
| | [[17/16|17/16]]
| [[171/128]]
| | 104.955410
| 501.4230
| | 17i2 = sova 2nd
| {{sagittal| |( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | large septendecimal semitone, octave-reduced 17th harmonic
| 19o4, ino 4th
| P4<sup>19</sup>
| undevicesimal harmonic fourth
|-
|-
| | [[16/15|16/15]]
| [[75/56]]
| | 111.731285
| 505.7565
| | g2 = gu 2nd
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| | diatonic semitone, classic minor second, octave-reduced 15th subharmonic
| ryy3, ruyoyo 3rd
| A3<sup>25</sup><sub>7</sub>
| marvelous fourth
|-
|-
| | [[2187/2048|2187/2048]]
| [[121/90]]
| | 113.685006
| 512.4122
| | Lw1 = large wa semitone
| {{sagittal| ~|( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| |<nowiki> apotome, |-11, 7</nowiki>&gt;
| 1oog4, lologu 4th
| d4<sup>11,11</sup><sub>5</sub>
| wide biyatismic fourth
|-
|-
| | [[77/72|77/72]]
| [[35/26]]
| | 116.233847
| 514.6120
| | jb2 = lozo 2nd
| {{sagittal| ~|( |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | undecimal secor
| 3uzy4, thuzoyo 4th
| A4<sup>5,7</sup><sub>13</sub>
| animist fourth
|-
|-
| | [[15/14|15/14]]
| [[128/95]]
| | 119.442808
| 516.1733
| | ry1 = ruyo semitone
| {{sagittal| ~|( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | septimal diatonic semitone
| 19ug4, nugu 4th
| P4<sub>5,19</sub>
| undevicesimal subharmonic fourth
|-
|-
| | [[14/13|14/13]]
| [[27/20]]
| | 128.298245
| 519.5513
| | ob2 = thuzo 2nd
| {{sagittal| /| |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | 2/3-tone, trienthird, tridecimal supraminor second
| g4, gu 4th
| P4<sub>5</sub>
| acute fourth, wolf fourth
|-
|-
| | [[27/25|27/25]]
| [[875/648]]
| | 133.237575
| 519.9470
| | gg2 = gugu 2nd
| {{sagittal| /| |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | large limma
| zy<sup>3</sup>4, zotriyo 4th
| A4<sup>5,5,5,7</sup>
| maviloid generator superfourth
|-
|-
| | [[13/12|13/12]]
| [[23/17]]
| | 138.572661
| 523.3189
| | e2 = tho 2nd
| {{sagittal| # |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| | tridecimal subtone, tridecimal 2/3-tone
| 23o17u4, twethosu 4th
| A3<sup>23</sup><sub>17</sub>
| vicesimotertial acute fourth
|-
|-
| | [[243/224|243/224]]
| [[19/14]]
| | 140.949098
| 528.6871
| | Lr1 = large ru semitone
| {{sagittal| (| |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> septimal subtone, |-5, 5, 0, -1</nowiki>&gt;
| 19or4, noru 4th
| P4<sup>19</sup><sub>7</sub>
| hendrix fourth
|-
|-
| | [[88/81|88/81]]
| [[34/25]]
| | 143.497939
| 532.3280
| | j2 = lova 2nd
| {{sagittal| (|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | undecimal subtone
| 17ogg5, sogugu 5th
| dd5<sup>17</sup><sub>5,5</sub>
| vengeance superfourth
|-
|-
| | [[49/45|49/45]]
| [[49/36]]
| | 147.428097
| 533.7418
| | bbg3 = zozogu 3rd
| {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | swetismic neutral second
| zz5, zozo 5th
| d5<sup>49</sup>
| Arabic lute acute fourth
|-
|-
| | [[12/11|12/11]]
| [[15/11]]
| | 150.637059
| 536.9508
| | a2 = lu 2nd
| {{sagittal| (|( |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | small undecimal neutral second, 3/4-tone
| 1uy4, luyo 4th
| A4<sup>5</sup><sub>11</sub>
| sub-augmented fourth, undecimal augmented fourth
|-
|-
| | [[35/32|35/32]]
| [[26/19]]
| | 155.139620
| 543.0146
| | zy2 = zoyo 2nd
| {{sagittal| //| |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | septimal neutral second
| 19u3o4, nutho 4th
| P4<sup>13</sup><sub>19</sub>
| undevicesimal super-fourth
|-
|-
| | [[78/71|78/71]]
| [[48/35]]
| | 162.786119
| 546.8154
| | 71qe2= 71u tho 2nd
| {{sagittal| /|) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | porcupine neutral second
| rg4, rugu 4th
| P4<sub>35</sub>
| septimal super-fourth
|-
|-
| | [[11/10|11/10]]
| [[11/8]]
| | 165.004228
| 551.3179
| | jg2 = logu 2nd
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | large undecimal neutral second, 4/5-tone, Ptolemy's second
| 1o4, ilo 4th
| P4<sup>11</sup>
| super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa
|-
|-
| | [[54/49|54/49]]
| [[18/13]]
| | 168.213190
| 563.3823
| | rr1 = ruru augmented unison
| {{sagittal| (|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | Zalzal's mujannab
| 3u4, thu 4th
| A4<sub>13</sub>
| tridecimal augmented fourth
|-
|-
| | [[10/9|10/9]]
| [[25/18]]
| | 182.403712
| 568.7174
| | y2 = yo 2nd
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | minor whole tone
| yy4, yoyo 4th
| A4<sup>25</sup>
| classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
|-
|-
| | [[49/44|49/44]]
| [[32/23]]
| | 186.333871
| 571.7257
| | abb3 = luzozo 3rd
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | werckismic minor second
| 23u4, twethu 4th
| d5<sub>23</sub>
| vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
|-
|-
| | [[19/17|19/17]]
| [[88/63]]
| | 192.557607
| 578.5820
| | 19i17q2 = nosu 2nd
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | quasi-meantone
| 1or4, loru 4th
| P4<sup>11</sup><sub>7</sub>
| pentacircle diminished fifth
|-
|-
| | [[28/25|28/25]]
| [[7/5]]
| | 196.198479
| 582.5122
| | bgg3 = zogugu 3rd
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | middle major second
| zg5, zogu 5th
| d5<sup>7</sup><sub>5</sub>
| augmented fourth, septimal tritone, Huygen's tritone
|-
|-
| | [[55/49|55/49]]
| [[108/77]]
| | 199.979843
| 585.7212
| | jrry1 = loruruyo unison
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | werckismic tone
| 1ur4, luru 4th
| A4<sub>77</sub>
| swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}})
|-
|-
| | [[9/8|9/8]]
| [[1024/729]]
| | 203.910002
| 588.2700
| | w2 = wa 2nd
| {{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | major whole tone, Pythagorean tone, octave-reduced 9th harmonic
| sw5, sawa 5th
| d5
| Pytharogean diminished fifth
|-
|-
| | [[17/15|17/15]]
| [[45/32]]
| | 216.686695
| 590.2237
| | 17ig3 = sogu 3rd
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | septendecimal whole tone, septendecimal eventone
| y4, yo 4th
| A4<sup>5</sup>
| smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
|-
|-
| | [[8/7|8/7]]
| [[128/91]]
| | 231.174094
| 590.6464
| | r2 = ru 2nd
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic
| 3ur4, thuru 4th
| A4<sub>91</sub>
| smaller huntmic tritone, 91st subharmonic
|-
|-
| | [[63/55|63/55]]
| [[38/27]]
| | 235.104252
| 591.6480
| | abg3 = luzogu 3rd
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | werckismic supermajor second
| ino 5th, 19o5
| d5<sup>19</sup>
| smaller undevicesimal tritone
|-
|-
| | [[55/48|55/48]]
| [[55/39]]
| | 235.676655
| 595.1490
| | jy2 = loyo 2nd
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | keenanismic supermajor second
| 3u1oy4, thuloyo 4th
| A4<sup>55</sup><sub>13</sub>
| smaller gassormic tritone
|-
|-
| | [[15/13|15/13]]
| [[24/17]]
| | 247.741053
| 596.9996
| | oy2 = thuyo 2nd
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | semifourth, tridecimal ultramajor second, tridecimal inframinor third
| 17u4, su 4th
| A4<sub>17</sub>
| smaller septendecimal tritone
|-
|-
| | [[22/19|22/19]]
| [[181/128]]
| | 253.804926
| 599.8151
| | 19qj2 = nulo 2nd
| {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}&numsp;&numsp;
| | minimal minor third, godzilla third
| 181o4
| A4<sup>181</sup>
| octave-reduced 181st harmonic, otonal quasi-tempered tritone
|-
|-
| | [[64/55|64/55]]
| [[99/70]]
| | 262.368344
| 600.0883
| | ag3 = lugu 3rd
| {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | keenanismic subminor third, octave-reduced 55th subharmonic
| 1org4, lorugu 4th
| P4<sup>11</sup><sub>35</sub>
| homothetic quasi-tempered tritone
|-
|-
| | [[7/6|7/6]]
| [[256/181]]
| | 266.870906
| 600.1849
| | b3 = zo 3rd
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | subminor third, septimal minor third, augmented second
| 181u5
| d5<sub>181</sub>
| octave-reduced 181st subharmonic, utonal quasi-tempered tritone
|-
|-
| | [[90/77|90/77]]
| [[17/12]]
| | 270.079867
| 603.0004
| | ary2 = luruyo 2nd
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | swetismic subminor third
| 17o5, iso 5th
| d5<sup>17</sup>
| larger septendecimal tritone
|-
|-
| | [[62/53|62/53]]
| [[78/55]]
| | 271.531027
| 604.8510
| | 53q31i2 = 53u31o 2nd
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | orwell subminor third
| 3o1ug5, tholugu 5th
| d5<sup>13</sup><sub>55</sub>
| larger gassormic tritone
|-
|-
| | [[75/64|75/64]]
| [[27/19]]
| | 274.582429
| 608.3520
| | yy2 = yoyo 2nd
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | classic augmented second
| inu 4th, 19u4
| A4<sub>19</sub>
| larger undevicesimal tritone
|-
|-
| | [[20/17|20/17]]
| [[91/64]]
| | 281.358304
| 609.3536
| | 17qy2 = suyo 2nd
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | septendecimal augmented second, septendecimal minor third
| 3oz5, thozo 5th
| d5<sup>91</sup>
| larger huntmic tritone, octave-reduced 91st harmonic
|-
|-
| | [[13/11|13/11]]
| [[64/45]]
| | 289.209179
| 609.7763
| | ea3 = tholu 3rd
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | tridecimal minor third
| g5, gu 5th
| d5<sub>5</sub>
| larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
|-
|-
| | [[32/27|32/27]]
| [[729/512]]
| | 294.134997
| 611.7300
| | w3 = wa 3rd
| {{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | Pythagorean minor third, octave-reduced 27th subharmonic
| Lw4, lawa 4th
| A4
| Pythagorean tritone
|-
|-
| | [[19/16|19/16]]
| [[10/7]]
| | 297.513016
| 617.4878
| | 19i3 = nova 3rd
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | otonal minor third, octave-reduced 19th harmonic
| ry4, ruyo 4th
| A4<sup>5</sup><sub>7</sub>
| diminished fifth, Euler's tritone, superaugmented fourth
|-
|-
| | [[25/21|25/21]]
| [[23/16]]
| | 301.846520
| 628.2743
| | ryy2 = ruyoyo 2nd
| {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | quasi-tempered minor third
| 23o5, twetho 5th
| A4<sup>23</sup>
| vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
|-
|-
| | [[61/51|61/51]]
| [[36/25]]
| | 309.974395
| 631.2826
| | 61i17q2 = 61o su 2nd
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | myna third
| gg5, gugu 5th
| d5<sub>25</sub>
| pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}})
|-
|-
| | [[6/5|6/5]]
| [[13/9]]
| | 315.641287
| 636.6177
| | g3 = gu 3rd
| {{sagittal| (!/ |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | minor third, pental minor third
| 3o5, tho 5th
| d5<sup>13</sup>
| tridecimal diminished fifth
|-
|-
| | [[77/64|77/64]]
| [[16/11]]
| | 320.143849
| 648.6821
| | jb3 = lozo 3rd
| {{sagittal| \!/ |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | keenanismic minor third, octave-reduced 77th harmonic
| 1u5, lu 5th
| P5<sub>11</sub>
| sub-fifth, paraminor fifth, octave-reduced 11th subharmonic
|-
|-
| | 135/112
| [[35/24]]
| | 323.352810
| 653.1846
| | ry2 = ruyo aug 2nd
| {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| |<nowiki> large septimal minor third, marvelous minor third, |-4, 3, 1, -1</nowiki>&gt;
| zy5, zoyo 5th
| P5<sup>35</sup>
| septimal sub-fifth
|-
|-
| | [[35/29|35/29]]
| [[19/13]]
| | 325.562426
| 656.9854
| | 29qyb3 = 29u zoyo 3rd
| {{sagittal| \\! |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | doublewide minor third
| 19o3u5, nothu 5th
| P5<sup>19</sup><sub>13</sub>
| undevicesimal sub-fifth
|-
|-
| | [[17/14|17/14]]
| [[22/15]]
| | 336.129503
| 663.0492
| | 17ir3 = soru 3rd
| {{sagittal| (!( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septendecimal supraminor third
| 1og5, logu 5th
| d5<sup>11</sup><sub>5</sub>
| undecimal diminished fifth, semidiminished fifth
|-
|-
| | [[73/60|73/60]]
| [[72/49]]
| | 339.520756
| 666.2589
| | 73ig3 = 73o gu 3rd
| {{sagittal| /|\ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| | amity supraminor third
| rr4, ruru 4th
| A4<sub>49</sub>
| septimal catafifth
|-
|-
| | 625/512
| [[25/17]]
| | 345.254855
| 667.6720
| | Ly<span style="vertical-align: super;">4</span>2 = large quadruple yo 2nd
| {{sagittal| (!) |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| |<nowiki> 5-limit neutral third, |-9, 0, 4</nowiki>&gt;
| 17uyy4, suyoyo 4th
| AA4<sup>5,5</sup><sub>17</sub>
| vengeance subfifth
|-
|-
| | [[11/9|11/9]]
| [[81/55]]
| | 347.407941
| 670.1883
| | j3 = lova 3rd
| {{sagittal| (! |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | undecimal neutral third
| 1ug5, lugu 5th
| P5<sub>55</sub>
| undecimal catafifth
|-
|-
| | [[60/49|60/49]]
| [[28/19]]
| | 350.616902
| 671.3129
| | rry2 = ruruyo 2nd
| {{sagittal| (! |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
 
| 19uz5, nuzo 5th
(aka p3 = purple 3rd)
| P5<sup>7</sup><sub>19</sub>
| | smaller septimal neutral third
| hendrix fifth
|-
|-
| | [[49/40|49/40]]
| [[34/23]]
| | 351.338099
| 676.6811
| | bbg4 = zozogu 4th
| {{sagittal| bb |size=300%}}{{sagittal|ntAbl|size=400%}}&numsp;&numsp;
 
| 23u17o5, twethuso 5th
(aka p3 = purple 3rd)
| d6<sup>17</sup><sub>23</sub>
| | larger septimal neutral third
| vicesimotertial grave fifth
|-
|-
| | [[27/22|27/22]]
| [[262144/177147]]
| | 354.547060
| 678.4950
| | a3 = lu 3rd
| {{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | rastmic neutral third
| sasawa 6th, ssw6
| d6
| Pythagorean wolf fifth
|-
|-
| | [[16/13|16/13]]
| [[40/27]]
| | 359.472338
| 680.4487
| | o3 = thu 3rd
| {{sagittal| \!|size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | tridecimal neutral third
| y5, yo 5th
| P5<sup>5</sup>
| grave fifth
|-
|-
| | [[21/17|21/17]]
| [[95/64]]
| | 365.825498
| 683.8267
| | 17qb3 = suzo 3rd
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septendecimal submajor third
| 19oy5, noyo 5th
| P5<sup>5,19</sup>
| undevicesimal harmonic fifth
|-
|-
| | [[56/45|56/45]]
| [[52/35]]
| | 378.602191
| 685.3880
| | bg4 = zogu 4th
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | narrow perde segah, marvelous major third
| 3org5, thorugu 5th
| d5<sup>13</sup><sub>35</sub>
| animist fifth
|-
|-
| | 51/41
| [[180/121]]
| | 377.848005
| 687.5878
| | 41q17i4 = 41u so 4th
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | maja third
| 1uuy5, luluyo 5th
| A5<sup>5</sup><sub>11,11</sub>
| narrow biyatismic fifth
|-
|-
| | [[71/57|71/57]]
| [[112/75]]
| | 380.228526
| 694.2435
| | 71i19q3 = 71o nu 3rd
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | witchcraft major third
| zgg6, zogugu 6th
| d6<sup>7</sup><sub>25</sub>
| marvelous fifth
|-
|-
| | [[76/61|76/61]]
| [[121/81]]
| | 380.628211
| 694.8159
| | 61q19i4 = 61u no 4th
| {{sagittal| !( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | magic major third
| 1oo5, lolo 5th
| d5<sup>11,11</sup>
| rastmic fifth, Alpharabian narrow fifth
|-
|-
| | [[96/77|96/77]]
| [[323/216]]
| | 381.811152
| 696.6034
| | ar3 = luru 3rd
| {{sagittal| /| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAbl|size=400%}}&numsp;&numsp;
| | undecimal perde segah, keenanismic major third
| 19o17o6, noso 6th
| d6<sup>17,19</sup>
| undevicesimal meantone fifth
|-
|-
| | [[5/4|5/4]]
| [[256/171]]
| | 386.313714
| 698.5770
| | y3 = yo 3rd
| {{sagittal| !( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | major third, octave-reduced 5th harmonic, pental major third
| 19u5, inu 5th
| P5<sub>19</sub>
| undevicesimal subharmonic fifth
|-
|-
| | [[81/64|81/64]]
| [[16384/10935]]
| | 407.820003
| 700.0013
| | Lw3 = large wa 3rd
| {{sagittal| /| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | Pythagorean major third, octave-reduced 81st harmonic
| sg6, sagu 6th
| d6<sub>5</sub>
| Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
|-
|-
| | [[80/63|80/63]]
| [[3/2]]
| | 413.577806
| 701.9550
| | ry3 = ruyo 3rd
| {{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | werckismic sharp major third
| w5, wa 5th
| P5
| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente
|-
|-
| | [[14/11|14/11]]
| [[182/121]]
| | 417.507964
| 706.7177
| | ab4 = luzo 4th
| {{sagittal| |) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | undecimal major third, undecimal diminished fourth
| 3o1uuz6, tholuluzo 6th
| m6<sup>7,13</sup><sub>11,11</sub>
| tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
|-
|-
| | [[32/25|32/25]]
| [[176/117]]
| | 427.372572
| 706.8803
| | gg4 = gugu 4th
| {{sagittal| |( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | classic diminished fourth
| 3u1o5, thulo 5th
| P5<sup>11</sup><sub>13</sub>
| minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
|-
|-
| | [[77/60|77/60]]
| [[128/85]]
| | 431.875134
| 708.7309
| | jbg4 = lozogu 4th
| {{sagittal| |( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | swetismic supermajor third
| 17ug5, sugu 5th
| P5<sub>85</sub>
| archagall fifth, septendecimal subharmonic fifth
|-
|-
| | [[9/7|9/7]]
| [[245/162]]
| | 435.084095
| 716.1455
| | r3 = ru 3rd
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | supermajor third, septimal major third, septimal diminished fourth
| zzy6, zozoyo 6th
| m6<sup>5,7,7</sup>
| sensamagic fifth
|-
|-
| | [[31/24|31/24]]
| [[121/80]]
| | 443.080572
| 716.3222
| | 31i3 = thirty-wo 3rd
| {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | sensi supermajor third
| 1oog5, lologu 5th
| d5<sup>121</sup><sub>5</sub>
| wide biyatismic fifth
|-
|-
| | [[22/17|22/17]]
| [[50/33]]
| | 446.362533
| 719.3545
| | 17qj3 = sulo 3rd
| {{sagittal| ~|( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septendecimal supermajor third
| 1uyy5, luyoyo 5th
| A5<sup>25</sup><sub>11</sub>
| ptolemismic fifth, "5EDO"-esque fifth
|-
|-
| | [[35/27|35/27]]
| [[97/64]]
| | 449.274618
| 719.8954
| | yb4 = zoyo 4th
| {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | semi-diminished fourth
| 97o5
| P5<sup>97</sup>
| nonacesimoseptimal harmonic fifth
|-
|-
| | [[13/10|13/10]]
| [[144/95]]
| | 454.213948
| 720.0833
| | eg4 = thogu 4th
| {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third
| 19ug5, nugu 5th
| P5<sub>5,19</sub>
| undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth
|-
|-
| | [[64/49|64/49]]
| [[38/25]]
| | 462.348187
| 724.8856
| | rr3 = ruru 3rd
| {{sagittal| /|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | septatonic major third
| 19ogg6, nogugu 6th
| d6<sup>19</sup><sub>5,5</sub>
| undevicesimal diminished sixth, undevicesimal acute fifth
|-
|-
| | [[17/13|17/13]]
| [[32/21]]
| | 464.427748
| 729.2191
| | 17io4 = sothu 4th
| {{sagittal| |) |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septendecimal sub-fourth
| r5, ru 5th
| P5<sub>7</sub>
| super-fifth, wide fifth, octave-reduced 21st subharmonic
|-
|-
| | [[21/16|21/16]]
| [[26/17]]
| | 470.780907
| 735.5723
| | b4 = zo 4th
| {{sagittal| (| |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic
| 17u3o5, sutho 5th
| P5<sup>13</sup><sub>17</sub>
| septendecimal super-fifth
|-
|-
| | [[33/25|33/25]]
| [[49/32]]
| | 480.645516
| 737.6518
| | jgg4 = logugu 4th
| {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | "5-EDO"-esque fourth
| zz6, zozo 6th
| m6<sup>49</sup>
| superduper fifth, octave-reduced 49th harmonic
|-
|-
| | 117/88
| [[23/15]]
| | 493.119721
| 740.0056
| | ea4 = tholu 4th
| {{sagittal| (|( |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>&gt;
| 23og6, twethogu 6th
| P5<sup>23</sup><sub>5</sub>
| vicesimotertial ultraminor sixth
|-
|-
| | [[4/3|4/3]]
| [[20/13]]
| | 498.044999
| 745.7861
| | w4 = wa 4th
| {{sagittal| //| |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| 3uy5, thuyo 5th
| A5<sup>5</sup><sub>13</sub>
| tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
|-
|-
| | [[75/56|75/56]]
| [[128/83]]
| | 505.756522
| 749.9527
| | ryy3 = ruyoyo 3rd
| {{sagittal| /|) |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| | marvelous fourth
| 83u5
| P5<sub>83</sub>
| 83rd subharmonic, octacesimotertial subharmonic semitenth
|-
|-
| | [[27/20|27/20]]
| [[17/11]]
| | 519.551289
| 753.6375
| | g4 = gu 4th
| {{sagittal| (!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | acute fourth
| 17o1u6, solu 6th
| m6<sup>17</sup><sub>11</sub>
| septendecimal subminor sixth
|-
|-
| | [[19/14|19/14]]
| [[14/9]]
| | 528.687110
| 764.9159
| | 19ir4 = noru 4th
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | 19-limit wide fourth
| z6, zo 6th
| m6<sup>7</sup>
| subminor sixth, septimal minor sixth
|-
|-
| | [[49/36|49/36]]
| [[25/16]]
| | 533.741811
| 772.6274
| | bb5 = zozo 5th
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | Arabic lute acute fourth
| yy5, yoyo 5th
| A5<sup>25</sup>
| pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
|-
|-
| | [[15/11|15/11]]
| [[36/23]]
| | 536.950772
| 775.6357
| | ay4 = luyo 4th
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | undecimal augmented fourth, subaugmented fourth
| 23u5, twethu 5th
| m6<sub>23</sub>
| vicesimotertial augmented fifth
|-
|-
| | [[48/35|48/35]]
| [[11/7]]
| | 546.815381
| 782.4920
| | gr4 = rugu 4th
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septimal super-fourth
| 1or5, loru 5th
| P5<sup>11</sup><sub>7</sub>
| undecimal subminor sixth, undecimal augmented fifth
|-
|-
| | [[11/8|11/8]]
| [[63/40]]
| | 551.317942
| 786.4222
| | j4 = lova 4th
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
| zg6, zogu 6th
| m6<sup>7</sup><sub>5</sub>
| narrow minor sixth
|-
|-
| | [[18/13|18/13]]
| [[52/33]]
| | 563.382340
| 787.2547
| | o4 = thu 4th
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAbl|size=400%}}&numsp;&numsp;
| | tridecimal augmented fourth
| 3o1u6, tholu 6th
| m6<sup>13</sup><sub>11</sub>
| tridecimal minor sixth
|-
|-
| | [[25/18|25/18]]
| [[30/19]]
| | 568.717426
| 790.7557
| | yy4 = yoyo 4th
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | classic augmented fourth, pental augmented fourth
| 19uy5, nuyo 5th
| A5<sup>5</sup><sub>19</sub>
| small undevicesimal minor sixth, Eratosthenes' minor sixth
|-
|-
| | [[88/63|88/63]]
| [[128/81]]
| | 578.582034
| 792.1800
| | jr4 = loru 4th
| {{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | werckismic augmented fourth
| sw6, sawa 6th
| m6
| Pythagorean minor sixth, octave-reduced 81st subharmonic
|-
|-
| | [[7/5|7/5]]
| [[19/12]]
| | 582.512193
| 795.5580
| | bg5 = zogu 5th
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | augmented fourth, septimal tritone, Huygen's tritone
| 19o6, ino 6th
| m6<sup>19</sup>
| large undevicesimal minor sixth, Boethius' minor sixth
|-
|-
| | [[45/32|45/32]]
| [[27/17]]
| | 590.223716
| 800.9096
| | y4 = yo 4th
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| |  
| 17u5, su 5th
| A5<sub>17</sub>
| septendecimal quasi-tempered minor sixth
|-
|-
| | [[108/77|108/77]]
|[[35/22]]
| | 585.721154
|803.8217
| | ar4 = luru 4th
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>&gt;
|1uzy6, luzoyo 6th
|n6<sup>5,7</sup><sub>11</sub>
|fwiwismic minor sixth
|-
|-
| | [[24/17|24/17]]
|[[8/5]]
| | 596.999591
|813.6863
| | 17q4 = su 4th
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | smaller septendecimal tritone
|g6, gu 6th
|m6<sub>5</sub>
|classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
|-
|-
| | [[17/12|17/12]]
|[[21/13]]
| | 603.000409
|830.2532
| | 17i5 = sova 5th
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | larger septendecimal tritone
|3uz6, thuzo 6th
|M6<sup>7</sup><sub>13</sub>
|tridecimal supraminor sixth
|-
|-
| | [[64/45|64/45]]
|[[34/21]]
| | 609.776284
|834.1745
| | g5 = gu 5th
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| |  
|17or6, soru 6th
|m6<sup>17</sup><sub>7</sub>
|septendecimal supraminor sixth
|-
|-
| | [[10/7|10/7]]
|[[13/8]]
| | 617.487807
|840.5277
| | ry4 = ruyo 4th
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | diminished fifth, Euler's tritone, superaugmented fourth
|3o6, tho 6th
|m6<sup>13</sup>
|lesser tridecimal neutral sixth, octave-reduced 13th harmonic
|-
|-
| | [[23/16|23/16]]
|[[80/49]]
| | 628.274347
|848.6619
| | 23i5 = twenty-tho 5th
| {{sagittal| (| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | 23-limit superaugmented fourth, octave-reduced 23rd harmonic
|rry5, ruruyo aug 5th
|A5<sup>5</sup><sub>49</sub>
|(purple 6th)
|-
|-
| | [[36/25|36/25]]
|[[49/30]]
| | 631.282574
|849.3832
| | gg5 = gugu 5th
| {{sagittal| (! |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | pental diminished fifth, classic diminshed fifth
|zzg7, zozogu 7th
|d7<sup>49</sup><sub>5</sub>
|(purple 6th)
|-
|-
| | [[13/9|13/9]]
|[[18/11]]
| | 636.617660
|852.5921
| | e5 = tho 5th
| {{sagittal| \!/ |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | tridecimal diminished fifth
|1u6, lu 6th
|M6<sub>11</sub>
|undecimal neutral sixth
|-
|-
| | [[16/11|16/11]]
|[[105/64]]
| | 648.682058
|857.0946
| | a5 = lu 5th
| {{sagittal| \!) |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | sub-fifth, octave-reduced 11th subharmonic
|zy6, zoyo 6th
|M6<sup>35</sup>
|quasi-tempered 5/7-octave, octave-reduced 105th harmonic
|-
|-
| | [[35/24|35/24]]
|[[23/14]]
| | 653.184619
|859.4484
| | yb5 = zoyo 5th
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | septimal sub-fifth
|23or6, twethoru 6th
|A5<sup>23</sup><sub>7</sub>
|vicesimotertial neutral sixth
|-
|-
| | [[22/15|22/15]]
|[[28/17]]
| | 663.049228
|863.8705
| | jg5 = logu 5th
| {{sagittal| \\! |size=300%}}{{sagittal|ntAbl|size=400%}}&numsp;&numsp;
| | undecimal diminished fifth, semidiminished fifth
|17uz6, suzo 6th
|M6<sup>7</sup><sub>17</sub>
|septendecimal submajor sixth
|-
|-
| | [[72/49|72/49]]
|[[38/23]]
| | 666.258889
|869.2387
| | rr4 = ruru 4th
| {{sagittal| )!( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | septimal catafifth
|23u19o6, twethuno 6th
|d7<sup>19</sup><sub>23</sub>
|vicesimotertial submajor sixth
|-
|-
| | [[81/55|81/55]]
|[[5/3]]
| | 670.188347
|884.3587
| | ag5 = lugu 5th
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | undecimal catafifth
|y6, yo 6th
|M6<sup>5</sup>
|classic major sixth, just major sixth
|-
|-
| | [[28/19|28/19]]
|[[42/25]]
| | 671.312890
|898.1535
| | 19qb5 = nuzo 5th
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | 19-limit narrow fifth
|zgg7, zogugu 7th
|d7<sup>7</sup><sub>25</sub>
|quasi-tempered major sixth
|-
|-
| | [[40/27|40/27]]
|[[486/289]]
| | 680.448711
|899.8642
| | y5 = yo 5th
| {{sagittal| (! |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| | grave fifth
|17uu5, susu 5th
|AA5<sub>17, 17</sub>
|semitonismic quasi-tempered major sixth
|-
|-
| | [[112/75|112/75]]
|[[32/19]]
| | 694.243478
|902.4870
| | bgg6 = zogugu 6th
| {{sagittal| !( |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | marvelous fifth
|19u6, inu 6th
|M6<sub>19</sub>
|utonal major sixth, octave-reduced 19th subharmonic
|-
|-
| | [[just_perfect_fifth|3/2]]
|[[27/16]]
| | 701.955001
|905.8650
| | w5 = wa 5th
| {{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | [[perfect_fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente
|w6, wa 6th
|M6
|Pythagorean major sixth, octave-reduced 27th harmonic
|-
|-
| | [[182/121|182/121]]
| [[76/45]]
| | 706.717684
| 907.2893
| | eaab6 = tholuluzo 6th
| {{sagittal| |) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>&gt;
| 19og7, nogu 7th
| d7<sup>19</sup><sub>5</sub>
| Eratosthenes' major sixth
|-
|-
| | 176/117
|[[22/13]]
| | 706.880279
|910.7908
| | oj5 = thulo 5th
| {{sagittal| |( |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>&gt;
|3u1o6, thulo 6th
|M6<sup>11</sup><sub>13</sub>
| tridecimal major sixth
|-
|-
| | [[50/33|50/33]]
|[[17/10]]
| | 719.354484
|918.6417
| | ayy5 = luyoyo 5th
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | "[[5edo|5-EDO]]"-esque fifth
|17og7, sogu 7th
|d7<sup>17</sup><sub>5</sub>
|septendecimal diminished seventh, septendecimal major sixth, diatismic major sixth
|-
|-
| | [[32/21|32/21]]
|[[46/27]]
| | 729.219093
|922.4093
| | r5 = ru 5th
| {{sagittal| ~|( |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic
|twetho 7th, 23o7
|M6<sup>23</sup>
|vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
|-
|-
| | [[26/17|26/17]]
| [[12/7]]
| | 735.572252
|933.1291
| | 17qe5 = sutho 5th
| {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | septendecimal super-fifth
|r6, ru 6th
| M6<sub>7</sub>
|supermajor sixth, septimal major sixth
|-
|-
| | [[49/32|49/32]]
|[[55/32]]
| | 737.651813
|937.6317
| | bb6 = zozo 6th
| {{sagittal| (| |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | superduper fifth, octave-reduced 49th harmonic
|1oy6, loyo 6th
|M6<sup>55</sup>
|keenanismic supermajor sixth, octave-reduced 55th harmonic
|-
|-
| | [[20/13|20/13]]
|[[19/11]]
| | 745.786052
|946.1951
| | oy5 = thuyo 5th
| {{sagittal| \!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
| | Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
|19o1u7, nolu 7th
|m7<sup>19</sup><sub>11</sub>
|undevicesimal semitwelfth, maximal major sixth
|-
|-
| | [[17/11|17/11]]
|[[140/81]]
| | 753.637467
|947.3196
| | 17ia6 = solu 6th
| {{sagittal| \!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | septendecimal subminor sixth
|zy7, zoyo 7th
|m7<sup>35</sup>
|septimal semidiminished seventh, septimal inframinor seventh
|-
|-
| | [[14/9|14/9]]
| [[97/56]]
| | 764.915905
|951.0695
| | b6 = zo 6th
| {{sagittal| //| |size=300%}}{{sagittal|ntAbl|size=400%}}&numsp;&numsp;
| | subminor sixth, septimal minor sixth, augmented fifth
|97or6, ninety-soru 6th
|M6<sup>97</sup><sub>7</sub>
|homothetic semitwelth
|-
|-
| | [[25/16|25/16]]
|[[26/15]]
| | 772.627428
|952.2589
| | yy5 = yoyo 5th
| {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
|3og7, thogu 7th
|d7<sup>13</sup><sub>5</sub>
| tridecimal semitwelfth
|-
|-
| | [[11/7|11/7]]
|[[40/23]]
| | 782.492036
|958.0394
| | jr5 = loru 5th
| {{sagittal| (!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | undecimal subminor sixth, undecimal augmented fifth
|23uy6, twethuyo 6th
|m7<sup>5</sup><sub>23</sub>
|vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
|-
|-
| | 63/40
|[[7/4]]
| | 786.422194
|968.8259
| | bg6 = zogu 6th
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| |  
|z7, zo 7th
|m7<sup>7</sup>
|subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
|-
|-
| | [[128/81|128/81]]
|[[225/128]]
| | 792.179997
|976.5374
| | sw6 = small wa 6th
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| |  
|Lyy6, layoyo 6th
|A6<sup>25</sup>
|marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}})
|-
|-
| | [[8/5|8/5]]
|[[44/25]]
| | 813.686286
|978.6905
| | g6 = gu 6th
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | minor sixth, octave-reduced 5th subharmonic
|1ogg7, logugu 7th
|d7<sup>11</sup><sub>5,5</sub>
|ptolemismic minor seventh, undecimal grave minor seventh
|-
|-
| | 413/256
|[[30/17]]
| | 827.997565
|983.3133
| | 59ib6 = fifty-nozo 6th
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)
|17uy6, suyo 6th
|A6<sup>5</sup><sub>17</sub>
|septendecimal minor seventh
|-
|-
| | [[13/8|13/8]]
|[[23/13]]
| | 840.527662
|987.7467
| | e6 = tho 6th
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | tridecimal neutral sixth, octave-reduced 13th harmonic
|23o3u7, twethothu 7th
|A6<sup>23</sup><sub>13</sub>
|vicesimotertial minor seventh
|-
|-
| | [[80/49|80/49]]
|[[71/40]]
| | 848.661901
|993.3828
| | rryA5 = ruruyo aug 5th
|{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
 
|71oy7
(aka p6 = purple 6th)
|m7<sup>71</sup><sub>5</sub>
| |
| harmonic/just minor seventh meantone
|-
|-
| | [[49/30|49/30]]
| [[16/9]]
| | 849.383198
|996.0900
| | bbg7 = zozogu 7th
|{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
 
|w7, wa 7th
(aka p6 = purple 6th)
|m7
| |  
|Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|-
|-
| | [[18/11|18/11]]
| [[57/32]]
| | 852.592059
| 999.4680
| | a6 = lu 6th
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | undecimal neutral sixth
| 19o7, ino 7th
| m7<sup>19</sup>
| quasi-tempered minor seventh, octave-reduced 57th harmonic
|-
|-
| | [[28/17|28/17]]
|[[25/14]]
| | 863.870497
|1003.802
| | 17qb6 = suzo 6th
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| | septendecimal submajor sixth
| ryy6, ruyoyo 6th
|A6<sup>25</sup><sub>7</sub>
|middle minor seventh
|-
|-
| | [[5/3|5/3]]
|[[34/19]]
| | 884.358713
| 1007.442
| | y6 = yo 6th
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | major sixth
|19u17o7, nuso 7th
|m7<sup>17</sup><sub>19</sub>
|quasi-meantone minor seventh
|-
|-
| | [[42/25|42/25]]
| [[9/5]]
| | 898.153480
|1017.596
| | bgg7 = zogugu 7th
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| |  
|g5, gu 7th
|m7<sub>5</sub>
|classic minor seventh, large minor seventh
|-
|-
| | [[27/16|27/16]]
|[[38/21]]
| | 905.865003
|1026.732
| | w6 = wa 6th
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | Pythagorean major sixth, octave-reduced 27th harmonic
|19or7, noru 7th
|m7<sup>19</sup><sub>7</sub>
|minor neutral undevicesimal seventh
|-
|-
| | [[22/13|22/13]]
|[[29/16]]
| | 910.790821
|1029.577
| | oj6 = thulo 6th
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
| | tridecimal major sixth
|29o7, tweno 7th
|m7<sup>29</sup>
|vicesimononal supraminor seventh, octave-reduced 29th harmonic
|-
|-
| | [[17/10|17/10]]
|[[20/11]]
| | 918.641696
|1034.996
| | 17ig7 = sogu 7th
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | septendecimal diminished seventh, septendecimal major sixth
|1uy7, luyo 7th
|M7<sup>5</sup><sub>11</sub>
|undecimal supraminor seventh, small undecimal neutral seventh
|-
|-
| | [[12/7|12/7]]
|[[42/23]]
| | 933.129094
|1042.507
| | r6 = ru 6th
| {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | supermajor sixth, septimal major sixth, diminished seventh
|23uz7, twethuzo 7th
|d8<sup>7</sup><sub>23</sub>
|small vicesimotertial neutral seventh
|-
|-
| | [[26/15|26/15]]
|[[64/35]]
| | 952.258947
|1044.860
| | eg7 = thogu 7th
| {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
|rg7, rugu 7th
|m7<sub>35</sub>
|septimal neutral seventh
|-
|-
| | [[7/4|7/4]]
|[[11/6]]
| | 968.825906
|1049.363
| | b7 = zo 7th
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic
|1o7, ilo 7th
| m7<sup>11</sup>
|undecimal neutral seventh, 21/4-tone
|-
|-
| | [[225/128|225/128]]
|[[46/25]]
| | 976.537429
|1055.647
| | Lyy6 = large yoyo 6th
| {{sagittal| (|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| |<nowiki> marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2</nowiki>&gt;
|twethogugu octave, 23ogg8
|m7<sup>23</sup><sub>5,5</sub>
|large vicesimotertial neutral seventh
|-
|-
| | [[30/17|30/17]]
|[[24/13]]
| | 983.313305
|1061.427
| | 17uy6 = suyo 6th
| {{sagittal| (|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | septendecimal minor seventh
|3u7, thu 7th
|M7<sub>13</sub>
|tridecimal neutral seventh
|-
|-
| | [[16/9|16/9]]
|[[50/27]]
| | 996.089998
|1066.762
| | w7 = wa 7th
| {{sagittal| \\! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|yoyo 7th, yy7
|M7<sup>5,5</sup>
|grave major seventh
|-
|-
| | [[25/14|25/14]]
|[[13/7]]
| | 1003.801521
|1071.702
| | ryy6 = ruyoyo 6th
| {{sagittal| (!( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | Middle minor seventh
|3or7, thoru 7th
|m7<sup>13</sup><sub>7</sub>
|tridecimal submajor seventh, 16/3-tone
|-
|-
| | [[34/19|34/19]]
|[[28/15]]
| | 1007.442393
|1080.557
| | 19q17i7 = nuso 7th
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | Quasi-meantone minor seventh
|zg8, zogu octave
|d8<sup>7</sup><sub>5</sub>
| grave major seventh, octave minus a ruyo aug unison
|-
|-
| | [[9/5|9/5]]
|[[15/8]]
| | 1017.596288
|1088.269
| | g5 = gu 7th
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | minor seventh, large minor seventh
|y7, yo 7th
|M7<sup>5</sup>
| classic major seventh, just major seventh, octave-reduced 15th harmonic
|-
|-
| | [[29/16|29/16]]
|[[32/17]]
| | 1029.577194
|1095.045
| | 29i7 = twenty-no 7th
| {{sagittal| ~!( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | 29-limit large minor seventh, octave-reduced 29th harmonic
|17u7, su 7th
|M7<sub>17</sub>
| septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), [[octave-reduced]] 17th [[subharmonic]]
|-
|-
| | [[20/11|20/11]]
|[[17/9]]
| | 1034.995772
|1101.045
| | ay7 = luyo 7th
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | undecimal minor seventh, small undecimal neutral seventh
|17o8, iso octave
|d8<sup>17</sup>
| septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
|-
|-
| | [[64/35|64/35]]
|[[36/19]]
| | 1044.860380
|1106.397
| | gr7 = rugu 7th
| {{sagittal| !( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| |  
|19u7, inu 7th
|M7<sub>19</sub>
|undevicesimal major seventh, Boethius' major seventh
|-
|-
| | [[11/6|11/6]]
| [[243/128]]
| | 1049.362941
| 1109.775
| | j7 = lo 7th
| {{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | undecimal neutral seventh, 21/4-tone
|Lw7, lawa 7th
|M7
|Pythagorean major seventh, [[octave-reduced]] 243rd harmonic
|-
|-
| | [[24/13|24/13]]
|[[19/10]]
| | 1061.427339
|1111.199
| | o7 = thu 7th
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | tridecimal neutral seventh
|19og8, nogu 8ve
|d8<sup>19</sup><sub>5</sub>
|undevicesimal diminished octave, Eratosthenes' major seventh
|-
|-
| | [[13/7|13/7]]
|[[40/21]]
| | 1071.701755
|1115.533
| | er7 = thoru 7th
| {{sagittal| |( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | 16/3-tone, tridecimal submajor seventh
|ry7, ruyo 7th
|M7<sup>5</sup><sub>7</sub>
|septimal acute major seventh
|-
|-
| | [[28/15|28/15]]
|[[61/32]]
| | 1080.557192
|1116.885
| | bg8 = zogu octave
| {{sagittal| |( |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
| | grave major seventh, octave minus a ruyo aug unison
|61o7, siwo 7th
|M7<sup>61</sup>
|octave-reduced 61st harmonic
|-
|-
| | [[15/8|15/8]]
|[[21/11]]
| | 1088.268715
|1119.463
| | y7 = yo 7th
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | major seventh, just major seventh, octave-reduced 15th harmonic
|1uz8, luzo 8ve
|P8<sup>7</sup><sub>11</sub>
|large undecimal diminished octave, undecimal major seventh
|-
|-
| | [[32/17|32/17]]
|[[44/23]]
| | 1095.044590
|1123.044
| | 17q7 = su 7th
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | small septendecimal major seventh, 8ve-reduced 17th subharmonic
|23u1o7, twethulo 7th
|d8<sup>11</sup><sub>23</sub>
|small vicesimotertial major seventh
|-
|-
| | [[17/9|17/9]]
|[[23/12]]
| | 1101.045408
|1126.319
| | 17i8 = sova octave
| {{sagittal| ~|( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | large septendecimal major seventh
|23o8, twetho 8ve
|M7<sup>23</sup>
|large vicesimotertial major seventh
|-
|-
| | [[243/128|243/128]]
|[[48/25]]
| | 1109.775004
|1129.328
| | Lw7 = large wa 7th
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | Pythagorean major seventh, octave-reduced 243rd harmonic
|gg8, gugu octave
|d8<sub>25</sub>
|classic diminished octave
|-
|-
| | [[40/21|40/21]]
|[[25/13]]
| | 1115.532907
|1132.100
| | ry7 = ruyo 7th
| {{sagittal| /| |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | acute major seventh
|3uyy7, thuyoyo 7th
|A7<sup>5,5</sup><sub>13</sub>
|lesser tridecimal diminished octave
|-
|-
| | [[61/32|61/32]]
|[[27/14]]
| | 1116.884905
|1137.039
| | 61i7 = sixty-wo 7th
| {{sagittal| |) |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | octave-reduced 61st harmonic
|r7, ru 7th
| M7<sub>7</sub>
|supermajor seventh, septimal major seventh
|-
|-
| | [[48/25|48/25]]
|[[31/16]]
| | 1129.327573
|1145.036
| | gg8 = gugu octave
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| | octave minus a yoyo augmented unison
|31o7, thiwo 7th
|M7<sup>31</sup>
|tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
|-
|-
| | [[27/14|27/14]]
|[[64/33]]
| | 1137.039096
|1146.727
| | r7 = ru 7th
| {{sagittal| \!/ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| |  
|1u8, lu octave
| P8<sub>11</sub>
|undecimal semidiminished octave, octave-reduced 33rd subharmonic
|-
|-
| | [[31/16|31/16]]
|[[35/18]]
| | 1145.035572
|1151.240
| | 31i7 = thirty-wo 7th
| {{sagittal| \!) |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | 31-limit ultramajor seventh, octave-reduced 31st harmonic
|zy8, zoyo octave
|P8<sup>35</sup>
|septimal semidiminished octave
|-
|-
| | [[64/33|64/33]]
|[[96/49]]
| | 1146.727057
|1164.303
| | a8 = lu octave
| {{sagittal| /|\ |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| | octave-reduced 33rd subharmonic
|rr7, ruru 7th
|M7<sub>49</sub>
|septimal ultramajor seventh
|-
|-
| | [[35/18|35/18]]
|[[49/25]]
| | 1151.239619
| 1165.024
| | yb8 = zoyo octave
| {{sagittal| )!( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| | octave minus a rugu comma
|zzgg9, bizogu 9th
|d9<sup>49</sup><sub>25</sub>
|BP eighth
|-
|-
| | [[96/49|96/49]]
| [[63/32]]
| | 1164.303188
| 1172.736
| | rr7 = ruru 7th
| {{sagittal| !) |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| |  
| z8, zo octave
| P8<sup>7</sup>
| septimal suboctave, octave-reduced 63rd harmonic
|-
|-
| | [[49/25|49/25]]
| [[160/81]]
| | 1165.024385
| 1178.494
| | bbgg9 = double zogu 9th
| {{sagittal| \! |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| |  
| y8, yo octave
| P8<sup>5</sup>
| syntonic suboctave
|-
|-
| | [[160/81|160/81]]
| [[255/128]]
| | 1178.493814
| 1193.224
| | y8 = yo octave
| {{sagittal| !( |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | octave minus syntonic comma
| 17oy8, soyo octave
| P8<sup>85</sup>
| charismic suboctave, octave-reduced 255th harmonic
|-
|-
| | [[Octave|2/1]]
|[[2/1]]
| | 1200
| 1200.000
| | w8 = wa octave
| {{sagittal|ntChf|size=400%}}&numsp;&numsp;
| | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
|w8, wa octave
|P8
|[[Octave|octave]], [[Wikipedia:Diapason|diapason]]
|}
|}
Notes<references group=note/>


=Intervals larger than 2/1=
=== Intervals larger than an octave ===
 
{| class="wikitable sortable right-3"
{| class="wikitable"
|-
! Frequency Ratio
! Cents Value<br>(7 sig. dig.)
! [[Sagittal notation|Sagittal <br> notation]]
! colspan="2" |[[Color notation|Color Name]]
! FJS Name
! Some common names
|-
| [[27/13]]
| 1265.337
| <ref group=note>The [[Sagittal]] column shows a pitch-class-sensitive [[Sagittal_notation#Athenian|Athenian]] [[Sagittal_notation#Evo|Evo]] notation with 1/1 = C. A white notehead {{sagittal|nhhf|size=300%}} indicates exact notation while black {{sagittal|nhbl|size=300%}} indicates approximation (typically within 2&#x202F;¢).</ref>&hairsp;&hairsp;{{sagittal| (|\ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 3u8
| thu8ve&numsp;&numsp;&numsp;&numsp;&numsp;<ref group=note>In the color names, "co" or "c" stands for compound, {{w|Interval (music) #Compound intervals|a conventional music term}}.</ref>
| A8<sub>13</sub>&numsp;<ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref>
| Luxembourg eighth
|-
| [[23/11]]
| 1276.956
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| 23o1u9
| twetholu 9th
| A8<sup>23</sup><sub>11</sub>
| vicesimotertial minor ninth
|-
| [[19/9]]
| 1293.603
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 19o9
| ino 9th
| m9<sup>19</sup>
| undevicesimal minor ninth
|-
| [[17/8]]
| 1304.955
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 17o9
| iso 9th
| m9<sup>17</sup>
| septendecimal minor ninth
|-
| [[32/15]]
| 1311.731
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| g9
| gu 9th
| m9<sub>5</sub>
| classic minor ninth
|-
| [[15/7]]
| 1319.443
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| ry8
| ruyo 8ve
| A8<sup>5</sup><sub>7</sub>
| septimal minor ninth
|-
| [[13/6]]
| 1338.573
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 3o9
| tho 9th
| m9<sup>13</sup>
| tridecimal minor ninth, tridecimal neutral ninth
|-
| [[11/5]]
| 1365.004
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1o9
| ilo 9th
| m9<sup>11</sup><sub>5</sub>
| neutral ninth
|-
| [[20/9]]
| 1382.404
| {{sagittal| \! |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| y9
| yo 9th
| M9<sup>5</sup>
| Ptolemaic ninth
|-
| [[9/4]]
| 1403.910
| {{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| w9
| wa 9th
| M9
| major ninth
|-
| [[25/11]]
| 1421.309
| {{sagittal| ~|( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| 1uyy9
| luyoyo 9th
| A9<sup>25</sup><sub>11</sub>
| undecimal major ninth
|-
| [[16/7]]
| 1431.174
| {{sagittal| |) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| r9
| ru 9th
| M9<sub>7</sub>
| septimal major ninth
|-
| [[7/3]]
| 1466.871
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| z10
| zo 10th
| m10<sup>7</sup>
| septimal minor tenth
|-
| [[19/8]]
| 1497.513
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| 19o3
| ino 10th
|
| undevicesimal minor tenth
|-
| [[12/5]]
| 1515.641
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| g10
| gu 10th
| m10<sub>5</sub>
| classic minor tenth
|-
| [[17/7]]
| 1536.130
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}&numsp;&numsp;
| 17or10
| soru 10th
| m10<sup>17</sup><sub>7</sub>
| septendecimal minor tenth
|-
| [[27/11]]
| 1554.547
| {{sagittal| \!/ |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| c1u3
| colu 3rd
| M10<sub>11</sub>
| rastmic neutral tenth
|-
| [[5/2]]
| 1586.314
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| y10
| yo 10th
| M10<sup>5</sup>
| classic major tenth
|-
| [[18/7]]
| 1635.084
| {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| r10
| ru 10th
|
| septimal supermajor tenth
|-
| [[13/5]]
| 1654.214
| {{sagittal| \\! |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 3og11
|  thogu 11th
| d11<sup>13</sup><sub>5</sub>
| tridecimal eleventh
|-
| [[21/8]]
| 1670.781
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| z11
| zo 11th
|
| septimal subeleventh
|-
| [[8/3]]
| 1698.045
| {{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| w11, cw4
| wa 11th, cowa 4th
| P11
| perfect eleventh
|-
| [[19/7]]
| 1728.687
| {{sagittal| (| |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 19or11
| noru 11th
|
| undevicesimal supereleventh
|-
| [[11/4]]
| 1751.318
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 1o11, c1o4
| ilo 11th, colo 4th
| P11<sup>11</sup>
| undecimal semi-augmented eleventh
|-
| [[14/5]]
| 1782.512
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| zg12, czg5
| zogu 12th, cozogu 5th
| d12<sup>7</sup><sub>5</sub>
| short septimal navatone
|-
| [[17/6]]
| 1803.000
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| 17o12
| iso 12th
| d12<sup>17</sup>
| septendecimal navatone
|-
| [[20/7]]
| 1817.488
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ry11
| ruyo 11th
| A11<sup>5</sup><sub>7</sub>
| tall septimal navatone
|-
| [[23/8]]
| 1828.274
| {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| 23o12
| twetho 12th
| A11<sup>23</sup>
| trivigintal navatone
|-
| [[35/12]]
| 1853.185
| {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| zy12, czy5
| zoyo 12th, cozoyo 5th
|
| septimal semi-diminished twelfth
|-
| [[3/1]]
| 1901.955
| {{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| w12, cw5
| wa 12th, cowa 5th
| P12
| 3rd harmonic, perfect twelfth, tritave
|-
| [[28/9]]
| 1964.916
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| z13, cz6
| zo 13th, cozo 6th
|
| septimal subminor thirteenth
|-
| [[19/6]]
| 1995.558
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| 19o13, c19o6
| ino 13th, cono 6th
|
| undevicesimal minor thirteenth
|-
| [[16/5]]
| 2013.686
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| g13, cg6
| gu 13th, cogu 6th
| m13<sub>5</sub>
| classic minor thirteenth
|-
| [[13/4]]
| 2040.528
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| 3o13, c3o6
| tho 13th, cotho 6th
| m13<sup>13</sup>
| tridecimal neutral thirteenth
|-
| [[23/7]]
| 2059.448
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| c23or13, c23or6
| cotwethoru 6th
|
| trivigintal neutral/submajor thirteenth
|-
| [[10/3]]
| 2084.359
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| y13, cy6
| yo 13th, coyo 6th
| M13<sup>5</sup>
| just/classic(al)/ptolemaic major thirteenth
|-
| [[17/5]]
| 2118.642
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c17og7
| cosogu 7th
| d14<sup>17</sup><sub>5</sub>
| septendecimal major thirteenth
|-
| [[24/7]]
| 2133.129
| {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| r13, cr6
| ru 13th, coru 6th
|
| septimal supermajor thirteenth
|-
| [[7/2]]
| 2168.826
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| cz7
| cozo 7th
| m14<sup>7</sup>
| harmonic fourteenth
|-
| [[32/9]]
| 2196.090
| {{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| cw7
| cowa 7th
|
| 3-limit minor fourteenth
|-
| [[18/5]]
| 2217.596
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| cg7
| cogu 7th
| m14<sub>5</sub>
| 5-limit minor fourteenth
|-
| [[11/3]]
| 2249.363
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c1o7
| colo 7th
| m14<sup>11</sup>
| undecimal neutral fourteenth
|-
| [[15/4]]
| 2288.269
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| cy7
| coyo 7th
| M14<sup>5</sup>
| just/classic(al)/ptolemaic major fourteenth
|-
| [[19/5]]
| 2311.199
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c19og8
| nogu double 8ve
|
| undevicesimal major fourteenth
|-
| [[35/9]]
| 2351.230
| {{sagittal| \!) |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| czy8
| zoyo double 8ve
|
| septimal semi-augmented fourteenth
|-
| [[4/1]]
| 2400.000
| {{sagittal|ntChf|size=400%}}&numsp;&numsp;
| cw8, ccw1
| wa double 8ve
| P15
| 4th harmonic, two octaves, just double octave
|-
| [[81/20]]
| 2421.506
| {{sagittal| /| |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| cg8, ccg1
| gu double 8ve
| P15<sub>5</sub>
| syntonic double octave
|-
| [[25/6]]
| 2470.672
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| cyy8, ccyy1
| yoyo double 8ve
|
| classic chromatic minor sixteenth
|-
| [[17/4]]
| 2504.955
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c17o9, cc17o2
| coso 9th, cocoso 2nd
| m16<sup>17</sup>
| septendecimal minor sixteenth
|-
| [[64/15]]
| 2511.731
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| cg9, ccg2
| cogu 9th, cocogu 2nd
| m16<sub>5</sub>
| classic minor sixteenth
|-
| [[13/3]]
| 2538.573
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c3o9, cc3o2
| cotho 9th, cocotho 2nd
| m16<sup>13</sup>
| tridecimal minor sixteenth
|-
| [[22/5]]
| 2565.004
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c1og9, cc1og2
| coco-logu 2nd
|
| large undecimal neutral sixteenth
|-
| [[9/2]]
| 2603.910
| {{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| cw9, ccw2
| cowa 9th, cocowa 2nd
| M16
| classic large major sixteenth
|-
| [[23/5]]
| 2641.961
| {{sagittal| (|( |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| cc23og3
| coco-twethogu 3rd
|
| trivigintal supermajor sixteenth
|-
| [[14/3]]
| 2666.871
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| ccz3
| cocozo 3rd
| m17<sup>7</sup>
| septimal subminor seventeenth
|-
| [[19/4]]
| 2696.513
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| cc19o3
| cocono 3rd
|
| undevicesimal minor seventeenth
|-
| [[24/5]]
| 2715.641
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| ccg3
| cocogu 3rd
|
| classic minor seventeenth
|-
| [[44/9]]
| 2747.408
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| cc1o3
| cocolo 3rd
|
| undecimal neutral seventeenth
|-
| [[5/1]]
| 2786.314
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| ccy3
| cocoyo 3rd
| M17<sup>5</sup>
| 5th harmonic, pentave
|-
| [[36/7]]
| 2835.084
| {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| ccr3
| cocoru 3rd
|
| septimal supermajor seventeenth
|-
| [[21/4]]
| 2870.781
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ccz4
| cocozo 4th
|
| septimal subeighteenth
|-
| [[16/3]]
| 2898.045
| {{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ccw4
| cocowa 4th
| P18
| perfect eighteenth
|-
| [[27/5]]
| 2919.551
| {{sagittal| /| |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ccg4
| cocogu 4th
|
| 5-limit supereighteenth
|-
| [[11/2]]
| 2951.318
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| cc1o4
| cocolo 4th
| P18<sup>11</sup>
| undecimal semi-augmented eighteenth
|-
| [[28/5]]
| 2982.512
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| cczg5
| coco-zogu 5th
| d19<sup>7</sup><sub>5</sub>
| short septimal panchadashatone
|-
| [[45/8]]
| 2990.224
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ccy4
| cocoyo 4th
| A18<sup>5</sup>
| quinquadragintimal panchadashatone
|-
| [[17/3]]
| 3003.000
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| cc17o5
| cocoso 5th
| d19<sup>17</sup>
| septendecimal panchadasatone
|-
| [[40/7]]
| 3017.488
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| ccry4
| coco-ruyo 4th
| A18<sup>5</sup><sub>7</sub>
| tall septimal panchadashatone
|-
| [[23/4]]
| 3028.274
| {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| cc23o5
| coco-twetho 5th
|
| vicesimotertial panchadashatone
|-
| [[35/6]]
| 3053.185
| {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| cczy5
| coco-zoyo 5th
|
| septimal semi-diminished nineteenth
|-
| [[6/1]]
| 3101.955
| {{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| ccw5
| cocowa 5th
| P19
| 6th harmonic
|-
| [[55/9]]
| 3133.722
| {{sagittal| (| |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| cc1og5
| coco-logu 5th
|
| undecimal superninteenth
|-
| [[25/4]]
| 3172.627
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| ccyy5
| coco-yoyo 5th
|
| 5-limit subminor twentieth
|-
| [[19/3]]
| 3195.558
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| cc19o6
| cocono 6th
|
| undevicesimal minor twentieth
|-
| [[32/5]]
| 3213.686
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| ccg6
| cocogu 6th
|
| classic minor twentieth
|-
| [[13/2]]
| 3240.528
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| cc3o6
| cocotho 6th
| m20<sup>13</sup>
| tridecimal neutral twentieth
|-
| [[20/3]]
| 3284.359
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| ccy6
| cocoyo 6th
|
| classic major twentieth
|-
| [[48/7]]
| 3333.129
| {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| ccr6
| cocoru 6th
|
| septimal supermajor twentieth
|-
| [[7/1]]
| 3368.826
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| ccz7
| cocozo 7th
| m21<sup>7</sup>
| 7th harmonic
|-
|-
! | frequency ratio
| [[36/5]]
! | cents value
| 3417.596
 
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
(three decimal places)
| ccg7
| cocogu 7th
|
| 5-limit minor twentyfirst
|-
|-
| | [[13/6|13/6]]
| [[22/3]]
| | 1338.573
| 3449.363
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| cc1o7
| cocolo 7th
|  
| undecimal neutral twentyfirst
|-
|-
| | [[11/5|11/5]]
| [[15/2]]
| | 1365.004
| 3488.269
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| ccy7
| cocoyo 7th
| M21<sup>5</sup>
| just/classic(al)/ptolemaic major twentyfirst
|-
|-
| | [[16/7|16/7]]
| [[23/3]]
| | 1431.174
| 3526.319
| {{sagittal| ~|( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>23o1
| twetho triple 8ve
|  
| vicesimotertial supermajor twentyfirst
|-
|-
| | [[5/2|5/2]]
| [[31/4]]
| | 1586.314
| 3545.036
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| c<sup>3</sup>31o1
| thiwo triple 8ve
|  
| 31-limit semi-augmented twentyfirst
|-
|-
| | [[8/3|8/3]]
| [[8/1]]
| | 1698.045
| 3600.000
| {{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>w1
| wa triple 8ve
| P22
| 8th harmonic, three octaves
|-
|-
| | [[11/4|11/4]]
| [[33/4]]
| | 1751.318
| 3653.273
| {{sagittal| /|\ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>1o1
| ilo triple 8ve
|  
| undecimal semi-diminished twentythird
|-
|-
| | [[3/1|3/1]]
| [[25/3]]
| | 1901.955
| 3670.672
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>yy1
| yoyo triple 8ve
|  
| classic chromatic twentythird
|-
|-
| | [[16/5|16/5]]
| [[17/2]]
| | 2013.686
| 3704.955
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>17o2
| tricoso 2nd
|  
| septendecimal minor twentythird
|-
|-
| | [[13/4|13/4]]
| [[128/15]]
| | 2040.528
| 3711.731
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>g2
| tricogu 2nd
| m23<sub>5</sub>
| classic minor twenty-third
|-
|-
| | [[10/3|10/3]]
| [[26/3]]
| | 2084.359
| 3738.573
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>3o2
| tricotho 2nd
|  
| tridecimal neutral twentythird
|-
|-
| | [[7/2|7/2]]
| [[35/4]]
| | 2168.826
| 3755.140
| {{sagittal| \!) |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>zy2
| trico-zoyo 2nd
|  
| septimal neutral twentythird
|-
|-
| | [[11/3|11/3]]
| [[9/1]]
| | 2249.363
| 3803.910
| {{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>w2
| tricowa 2nd
| M23
| 9th harmonic
|-
|-
| | [[15/4|15/4]]
| [[10/1]]
| | 2288.269
| 3986.314
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>y3
| tricoyo 3rd
| M24<sup>5</sup>
| 10th harmonic, decade
|-
|-
| | [[4/1|4/1]]
| [[11/1]]
| | 2400.000
| 4151.318
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>1o4
| tricolo 4th
| P25<sup>11</sup>
| 11th harmonic
|-
|-
| | [[13/3|13/3]]
| [[12/1]]
| | 2538.573
| 4301.955
| {{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>w5
| tricowa 5th
| P26
| 12th harmonic
|-
|-
| | [[9/2|9/2]]
| [[13/1]]
| | 2603.910
| 4440.528
| {{sagittal| /|) |size=300%}}{{sagittal|ntGbl|size=400%}}&numsp;&numsp;
| c<sup>3</sup>3o6
| tricotho 6th
| m27<sup>13</sup>
| 13th harmonic
|-
|-
| | [[14/3|14/3]]
| [[14/1]]
| | 2666.871
| 4568.826
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>z7
| tricozo 7th
| m28<sup>7</sup>
| 14th harmonic
|-
|-
| | [[5/1|5/1]]
| [[15/1]]
| | 2786.314
| 4688.269
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>y7
| tricoyo 7th
| M28<sup>5</sup>
| 15th harmonic
|-
|-
| | [[16/3|16/3]]
| [[16/1]]
| | 2898.045
| 4800.000
| {{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>w1
| wa quadruple 8ve
| P29
| 16th harmonic, four octaves
|-
|-
| | [[11/2|11/2]]
| [[17/1]]
| | 2951.318
| 4904.955
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>17o2
| quadcoso 2nd
| m30<sup>17</sup>
| 17th harmonic
|-
|-
| | [[6/1|6/1]]
| [[256/15]]
| | 3101.955
| 4911.731
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>g2
| quadcogu 2nd
| m30<sub>5</sub>
| classic minor thirtieth
|-
|-
| | [[13/2|13/2]]
| [[18/1]]
| | 3240.528
| 5004.910
| {{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>w2
| quadcowa 2nd
| M30
| 18th harmonic
|-
|-
| | [[7/1|7/1]]
| [[19/1]]
| | 3368.826
| 5097.513
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>19o3
| quadcono 3rd
| m31<sup>19</sup>
| 19th harmonic
|-
|-
| | [[15/2|15/2]]
| [[20/1]]
| | 3488.269
| 5186.314
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>y3
| quadcoyo 3rd
| M31<sup>5</sup>
| 20th harmonic
|-
|-
| | [[8/1|8/1]]
| [[21/1]]
| | 3600.000
| 5270.781
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>z4
| quadcozo 4th
| P32<sup>7</sup>
| 21st harmonic
|-
|-
| | [[9/1|9/1]]
| [[22/1]]
| | 3803.910
| 5351.318
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>1o4
| quadcolo 4th
| P32<sup>11</sup>
| 22nd harmonic
|-
|-
| | [[10/1|10/1]]
| [[23/1]]
| | 3986.314
| 5428.274
| {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>23o5
| quadco-twetho 5th
| A32<sup>23</sup>
| 23rd harmonic
|-
|-
| | [[11/1|11/1]]
| [[24/1]]
| | 4151.318
| 5501.955
| {{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>w5
| quadcowa 5th
| P33
| 24th harmonic
|-
|-
| | [[12/1|12/1]]
| [[25/1]]
| | 4301.955
| 5572.617
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>yy5
| quadco-yoyo 5th
| A33<sup>5,5</sup>
| 25th harmonic
|-
|-
| | [[13/1|13/1]]
| [[27/1]]
| | 4440.528
| 5705.865
| {{sagittal|ntAhf|size=400%}}&numsp;&numsp;
| c<sup>4</sup>w6
| quadcowa 6th
| M34
| 27th harmonic
|-
|-
| | [[14/1|14/1]]
| [[29/1]]
| | 4568.826
| 5829.577
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
| c<sup>4</sup>29o7
| quadco-tweno 7th
| m35<sup>29</sup>
| 29th harmonic
|-
|-
| | [[15/1|15/1]]
| [[31/1]]
| | 4688.269
| 5945.036
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| c<sup>4</sup>31o7
| quadco-thiwo 7th
| M35<sup>31</sup>
| 31st harmonic
|-
|-
| | [[16/1|16/1]]
| [[49/1]]
| | 4800.000
| 6737.652
| {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}&numsp;&numsp;
|c<sup>5</sup>zz6
|quinco-zozo 6th
| M41<sup>7,7</sup>
| 49th harmonic
|}
|}
Notes<references group=note />
== See also ==
* [[List of superparticular intervals]]
* [[:Category:Lists of intervals]] - Other galleries of intervals with different inclusion criteria to this one
== Links ==
* [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] [https://www.webcitation.org/5xeoz4zmC Permalink]
* [http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list]
* [http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]]
* [http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]]
* [https://misotanni.github.io/fjs/en/calc.html FJS interval calculators]
* [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]


=Links=
[[Category:Lists]]
<ul><li>[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by Margo Schulter [http://www.webcitation.org/5xeoz4zmC Permalink]</li><li>[http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list]*</li><li>[http://www.kylegann.com/Octave.html Anantomy of an Octave] by Kyle Gann</li><li>[http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by Kite Giedraitis</li><li>[http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]</li></ul>     
[[Category:Lists of intervals| ]]
[[Category:gallery]]
[[Category:Just intonation]]
[[Category:interval]]
[[Category:intervals]]
[[Category:ji]]
[[Category:just]]

Latest revision as of 06:46, 3 May 2026

The following is a gallery of many just intervals that contributors to this wiki have found notable. It is of course not meant to be comprehensive, and is not the result of a systematic search.

Do not be intimidated by all the common names: there is no need to memorise the names. For pretty much all use cases, is perfectly acceptable - preferred, even - to just refer to an interval by its ratio (e.g. 3/2, 5/4).

Introduction

In just intonation, a musical interval is specified as a ratio of two frequencies. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in just intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance.

In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.

What follows is a gallery of just intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it.

This page lists links to dedicated pages for each interval, under the heading "frequency ratio".

Said dedicated pages may include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. Readers are encouraged to add such things to the interval pages. If your contribution is unconventional, add your name or pseudonym so future readers know where the idea originated.

Gallery of just intervals

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

Frequency Ratio Cents Value
(7 sig. dig.)
Sagittal
notation
Color Name FJS Name Some common names
1/1 0.000000 [note 1]   w1, wa unison P1  [note 2] unity, perfect prime, Tonic, unison
32805/32768 1.953721    Ly-2, Layoma d-25 schisma ([-15, 8, 1)
256/255 6.775876    17ug1, Suguma P185 charisma, charic comma, septendecimal kleisma
225/224 7.711523    ryy-2, Ruyoyoma d-2257 septimal kleisma, marvel comma ([-5, 2, 2, -1)
126/125 13.79477    zg32, Zotriguma d27125 septimal semicomma, starling comma ([1, 2, -3, 1)
100/99 17.39948    1uyy1, Luyoyoma A12511 Ptolemy's comma, ptolemisma
99/98 17.57613    1orr-2, Loruruma m-21149 mothwellsma
2048/2025 19.55257    sgg2, Saguguma d225 diaschisma ([11, -4, -2)
81/80 21.50629    g1, Guma P15 meantone comma, syntonic comma, Didymus comma
531441/524288 23.46001    LLw-2, Lalawama d-2 Pythagorean comma, ditonic comma ([-19, 12)
66/65 26.43157    3u1og1, Thuloguma P11165 winmeanma
65/64 26.84138    3oy1, Thoyoma P165 wilsorma, 13th-partial chroma
64/63 27.26409    r1, Ruma P17 septimal comma, Archytas' comma
3125/3072 29.61357    Ly5-2, Laquinyoma dd-23125 magic comma, small diesis ([-10, -1, 5)
50/49 34.97562    rryy-2, Biruyoma d-22549 small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
49/48 35.69681    zz2, Zozoma m249 large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma
45/44 38.90577    1uy1, Luyoma A1511 undecimal 1/5 tone
128/125 41.05886    g32, Triguma d2125 diesis, minor diesis, augmented comma, enharmonic comma ([7, 0, -3)
525/512 43.40834    Lzyy1, Lazoyoyoma A1175 Avicenna's enharmonic diesis, avicennma ([-9, 1, 2, 1)
1053/1024 48.34767    L3o1, Lathoma P113 tridecimal quartertone, tridecimal flattone comma
36/35 48.77038    rg1, Ruguma P135 septimal quarter tone, double comma
250/243 49.16614    y31, Triyoma A1125 porcupine comma ([1, -5, 3)
59049/57344 50.72410    Lr-2, Laruma d-27 Harrison's comma ([-13, 10, 0, -1)
100/97 52.73202    97uyy1, ninety-suyoyo unison A12597 shrutar quarter tone
33/32 53.27294    1o1, ilo unison P111 undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625 62.56515    g42, quadgu 2nd d2625 diminished comma, major diesis ([8, 4, -4)
28/27 62.96090    z2, zo 2nd m27 small septimal chroma, septimal third-tone, subminor second, septimal minor second
27/26 65.33734    3u1, thu unison A113 small tridecimal third tone
26/25 67.90023    3ogg2, thogugu 2nd d21325 large tridecimal third tone
25/24 70.67243    yy1, yoyo unison A125 chroma, classic chromatic semitone, Zarlinian semitone
24/23 73.68065    23u1, twethu unison m223 lesser vicesimotertial semitone
23/22 76.95641    23o1u2, twetholu 2nd A12311 greater vicesimotertial semitone
68/65 78.11403    17o3ug2, sothugu 2nd m21765 valentine semitone
22/21 80.53704    1or1, loru unison P1117 undecimal minor semitone
64/61 83.11520    61u2, siwu 2nd m261 harry minor semitone
21/20 84.46719    zg2, zogu 2nd m275 minor semitone, large septimal chroma
20/19 88.80070    19uy1, nuyo unison A1519 small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
256/243 90.22500    sw2, sawa 2nd m2 Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ([8, -5)
135/128 92.17872    Ly1, layo unison A15 major limma ([-7, 3, 1)
19/18 93.60301    19o2, ino 2nd m219 large undevicesimal semitone, undevicesimal limma, Boethius' semitone
18/17 98.95459    17u1, su unison A117 small septendecimal semitone, Arabic lute index finger
17/16 104.9554    17o2, iso 2nd m217 large septendecimal semitone, octave-reduced 17th harmonic
16/15 111.7313    g2, gu 2nd m25 classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
2187/2048 113.6850    Lw1, lawa unison A1 apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ([-11, 7)
77/72 116.2338    1oz2, lozo 2nd m277 undecimal secor
15/14 119.4428    ry1, ruyo unison A157 septimal diatonic semitone
14/13 128.2982    3uz2, thuzo 2nd M2713 tridecimal 2/3-tone, trienthird, tridecimal supraminor second
27/25 133.2376    gg2, gugu 2nd m225 large limma
13/12 138.5727    3o2, tho 2nd m213 tridecimal neutral second, tridecimal 2/3-tone
243/224 140.9491    Lr1, laru unison A17 septimal subtone ([-5, 5, 0, -1)
88/81 143.4980    1o2, ilo 2nd m211 undecimal subtone
25/23 144.3531    23uyy1, twethuyoyo unison M25,523 small vicesimotertial neutral second
49/45 147.4281    zzg3, zozogu 3rd d3495 swetismic neutral second
12/11 150.6371    1u2, lu 2nd M211 small undecimal neutral second, 3/4-tone
35/32 155.1396    zy2, zoyo 2nd M235 septimal neutral second
23/21 157.4934    23or2, twethoru 2nd A1237 large vicesimotertial neutral second
78/71 162.7861    71u3o2, seventy-wutho 2nd m21371 porcupine neutral second
11/10 165.0042    1og2, logu 2nd m2115 undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49 168.2132    rr1, ruru unison A149 Zalzal's mujannab
21/19 173.2679    19uz2, nuzo 2nd M2719 large neutral undevicesimal second
10/9 182.4037    y2, yo 2nd M25 classic (whole) tone, minor (whole) tone
49/44 186.3339    1uzz3, luzozo 3rd m34911 mothwellsmic major second
39/35 187.3430    3org2, thorugu 2nd m21335 animist major second
6272/5625 188.4870    szzg44, sabizogugu 4th ddd449625 double marvelous second, double marvelous (whole) tone
19/17 192.5576    19o17u2, nosu 2nd M21917 quasi-meantone
28/25 196.1985    zgg3, zogugu 3rd d3725 middle major second
55/49 199.9798    1orry1, loruruyo unison A15549 werckismic tone
64/57 200.5320    19u2, inu 2nd M219 quasi-tempered whole tone, octave-reduced 57th subharmonic
9/8 203.9100    w2, wa 2nd M2 Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
26/23 212.2533    23u3o2, twethutho 2nd d31323 vicesimotertial whole tone
17/15 216.6867    17og3, sogu 3rd d3175 septendecimal whole tone, septendecimal eventone
25/22 221.3095    1uyy2, luyoyo 2nd A22511 ptolemismic whole tone, undecimal acute whole tone
729/640 225.4163    Lg2, lagu 2nd M25 acute whole tone
57/50 226.8406    19ogg3, nogugu 3rd d31925 devichromic supermajor second
8/7 231.1741    r2, ru 2nd M27 supermajor second, septimal whole tone, octave-reduced 7th subharmonic
63/55 235.1043    1uzg3, luzogu 3rd m3755 werckismic supermajor second
55/48 235.6767    1oy2, loyo 2nd M255 keenanismic supermajor second
224/195 240.0295    3uzg3, thuzogu 3rd m3765 quasi-tempered 1/5-octave, "5EDO"-esque tone
23/20 241.9606    23og3, twethogu 3rd M2235 vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
15/13 247.7411    3uy2, thuyo 2nd A2513 tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
97/84 249.1145    97or2, ninety-soru 2nd M2977 homothetic semifourth
81/70 252.2680    rg2, rugu 2nd M235 septimal semi-augmented second, septimal ultramajor second
22/19 253.8049    19u1o2, nulo 2nd M21119 undevicesimal semifourth, minimal minor third, godzilla semifourth
64/55 262.3683    1ug3, lugu 3rd m355 keenanismic subminor third, octave-reduced 55th subharmonic
7/6 266.8709    z3, zo 3rd m37 subminor third, septimal minor third
90/77 270.0799    1ury2, luruyo 2nd A2577 swetismic subminor third
62/53 271.5310    53u31o2, fithu-thiwo 2nd M23153 orwell subminor third
75/64 274.5824    yy2, yoyo 2nd A225 classic augmented second
27/23 277.5907    twethu 2nd, 23u2 m323 vicesimotertial augmented second
20/17 281.3583    17uy2, suyo 2nd A2517 septendecimal augmented second, septendecimal minor third, diatismic minor third
13/11 289.2097    3o1u3, tholu 3rd m31311 tridecimal minor third
45/38 292.7107    19uy2, nuyo 2nd A2519 Eratosthenes' minor third
32/27 294.1350    w3, wa 3rd m3 Pythagorean minor third, octave-reduced 27th subharmonic
19/16 297.5130    19o3, ino 3rd m319 otonal minor third, octave-reduced 19th harmonic
289/243 300.1358    17oo4, soso 4th dd417, 17 semitonismic quasi-tempered minor third
25/21 301.8465    ryy2, ruyoyo 2nd A2257 quasi-tempered minor third
61/51 309.9744    61o17u2, siwosu 2nd A26117 myna third
6/5 315.6413    g3, gu 3rd m35 classic minor third, just minor third
77/64 320.1438    1oz3, lozo 3rd m377 keenanismic minor third, octave-reduced 77th harmonic
135/112 323.3528    ry2, ruyo 2nd A257 large septimal minor third, marvelous minor third ([-4, 3, 1, -1)
35/29 325.5624    29uzy3, twenuzoyo 3rd M33529 doublewide minor third
23/19 330.7613    23o19u3, twethonu 3rd A22319 vicesimotertial supraminor third
17/14 336.1295    17or3, soru 3rd m3175 septendecimal supraminor third
175/144 337.5433    zyy3, zoyoyo 3rd M35,5,7 keemic minor third
73/60 339.5208    73og3, seventy-thogu 3rd m3735 amity supraminor third
28/23 340.5516    23uz3, twethuzo 3rd d4723 vicesimotertial neutral third
39/32 342.4827    3o3, tho 3rd m313 lesser tridecimal neutral third, octave-reduced 39th harmonic
128/105 342.9054    rg3, rugu 3rd m335 quasi-tempered 2/7-octave, 105th subharmonic
625/512 345.2549    Ly42, laquadyo 2nd AA2625 5-limit neutral third ([-9, 0, 4)
11/9 347.4079    1o3, ilo 3rd m311 undecimal neutral third
60/49 350.6169    rry2, ruruyo 2nd A2549 smaller septimal neutral third, (purple 3rd)
49/40 351.3381    zzg4, zozogu 4th d4495 larger septimal neutral third, (purple 3rd)
27/22 354.5471    1u3, lu 3rd M311 rastmic neutral third
16/13 359.4723    3u3, thu 3rd M313 greater tridecimal neutral third, octave reduced 13subharmonic
21/17 365.8255    17uz3, suzo 3rd M3717 septendecimal submajor third
26/21 369.7468    thoru 3rd, 3or3 m3137 tridecimal submajor third
51/41 377.8480    41u17o4, fowuso 4th d41741
56/45 378.6022    zg4, zogu 4th d475 narrow perde segah, marvelous major third
71/57 380.2285    71o19u3, seventy-wonu 3rd M37119 witchcraft major third
76/61 380.6282    61u19o4, siwuno 4th d41961 magic major third
96/77 381.8112    1ur3, luru 3rd M377 undecimal perde segah, keenanismic major third
5/4 386.3137    y3, yo 3rd M35 classic major third, just major third, octave-reduced 5th harmonic
44/35 396.1783    1org3, lorugu 3rd n3115,7 fwiwismic major third
161/128 397.1003    23oz4, twethozo 4th M3161 just/Pythagorean major third meantone, octave-reduced 161th harmonic
34/27 399.0904    17o4, iso 4th d417 septendecimal quasi-tempered major third
63/50 400.1085    zgg4, zogugu 4th d4725 quasi-tempered major third
24/19 404.4420    19u3, inu 3rd M319 Boethius' major third
81/64 407.8200    Lw3, lawa 3rd M3 Pythagorean major third, octave-reduced 81st harmonic
19/15 409.2443    19og4, nogu 4th d4195 Eratosthenes' major third
33/26 412.7453    3u1o3, thulo 3rd M31113 tridecimal major third
80/63 413.5778    ry3, ruyo 3rd M357 5/7-kleismic major third
14/11 417.5080    1uz4, luzo 4th P4711 undecimal major third, undecimal diminished fourth
23/18 424.3643    23o4, twetho 4th M323 vicesimotertial diminished fourth
32/25 427.3726    gg4, gugu 4th d425 classic diminished fourth
41/32 429.0624    41o3, fowo 3rd M341 octave-reduced 41st harmonic, quadracesimoprimal supermajor third
77/60 431.8751    1ozg4, lozogu 4th d4775 swetismic supermajor third
9/7 435.0841    r3, ru 3rd M37 supermajor third, septimal major third
31/24 443.0806    31o3, thiwo 3rd M331 sensi supermajor third
22/17 446.3625    17u1o3, sulo 3rd M31117 septendecimal supermajor third
35/27 449.2746    zy4, zoyo 4th P435 septimal semidiminished fourth
83/64 450.0473    83o4 P483 octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
13/10 454.2139    3og4, thogu 4th d4135 tridecimal semisixth, Barbados third, tridecimal 9/4 tone
30/23 459.9944    23uy3, twethuyo 3rd P4523 vicesimotertial ultramajor third
64/49 462.3482    rr3, ruru 3rd M349 septatonic major third
17/13 464.4277    17o3u4, sothu 4th P41713 septendecimal sub-fourth
21/16 470.7809    z4, zo 4th P47 sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
25/19 475.1144    19uyy3, nuyoyo 3rd A35,519 undevicesimal augmented third, undevicesimal grave fourth
95/72 479.9167    19oy4, noyo 4th P45,19 undevicesimal quasi-tempered 2/5-octave, undevicesimal "5EDO"-esque fourth
128/97 480.1046    97u4 P497 nonacesimoseptimal subharmonic fourth
33/25 480.6455    1ogg4, logugu 4th d41125 ptolemismic fourth, "5EDO"-esque fourth
160/121 483.6778    1uuy4, luluyo 4th A4511,11 narrow biyatismic fourth
324/245 483.8545    rrg3, rurugu 3rd M35,7,7 sensamagic fourth
85/64 491.2691    17oy4, soyo 4th P485 archagall fourth, septendecimal harmonic fourth
117/88 493.1197    3o1u4, tholu 4th P41311 minthmic fourth ([-3, 2, 0, 0, -1, 1)
4/3 498.0450    w4, wa 4th P4 just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
171/128 501.4230    19o4, ino 4th P419 undevicesimal harmonic fourth
75/56 505.7565    ryy3, ruyoyo 3rd A3257 marvelous fourth
121/90 512.4122    1oog4, lologu 4th d411,115 wide biyatismic fourth
35/26 514.6120    3uzy4, thuzoyo 4th A45,713 animist fourth
128/95 516.1733    19ug4, nugu 4th P45,19 undevicesimal subharmonic fourth
27/20 519.5513    g4, gu 4th P45 acute fourth, wolf fourth
875/648 519.9470    zy34, zotriyo 4th A45,5,5,7 maviloid generator superfourth
23/17 523.3189    23o17u4, twethosu 4th A32317 vicesimotertial acute fourth
19/14 528.6871    19or4, noru 4th P4197 hendrix fourth
34/25 532.3280    17ogg5, sogugu 5th dd5175,5 vengeance superfourth
49/36 533.7418    zz5, zozo 5th d549 Arabic lute acute fourth
15/11 536.9508    1uy4, luyo 4th A4511 sub-augmented fourth, undecimal augmented fourth
26/19 543.0146    19u3o4, nutho 4th P41319 undevicesimal super-fourth
48/35 546.8154    rg4, rugu 4th P435 septimal super-fourth
11/8 551.3179    1o4, ilo 4th P411 super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa
18/13 563.3823    3u4, thu 4th A413 tridecimal augmented fourth
25/18 568.7174    yy4, yoyo 4th A425 classic augmented fourth, pental augmented fourth ([-1 -2 2)
32/23 571.7257    23u4, twethu 4th d523 vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
88/63 578.5820    1or4, loru 4th P4117 pentacircle diminished fifth
7/5 582.5122    zg5, zogu 5th d575 augmented fourth, septimal tritone, Huygen's tritone
108/77 585.7212    1ur4, luru 4th A477 swetismic augmented fourth ([2, 3, 0, -1, -1)
1024/729 588.2700    sw5, sawa 5th d5 Pytharogean diminished fifth
45/32 590.2237    y4, yo 4th A45 smaller pental tritone, diatonic tritone ([-5 2 1)
128/91 590.6464    3ur4, thuru 4th A491 smaller huntmic tritone, 91st subharmonic
38/27 591.6480    ino 5th, 19o5 d519 smaller undevicesimal tritone
55/39 595.1490    3u1oy4, thuloyo 4th A45513 smaller gassormic tritone
24/17 596.9996    17u4, su 4th A417 smaller septendecimal tritone
181/128 599.8151    181o4 A4181 octave-reduced 181st harmonic, otonal quasi-tempered tritone
99/70 600.0883    1org4, lorugu 4th P41135 homothetic quasi-tempered tritone
256/181 600.1849    181u5 d5181 octave-reduced 181st subharmonic, utonal quasi-tempered tritone
17/12 603.0004    17o5, iso 5th d517 larger septendecimal tritone
78/55 604.8510    3o1ug5, tholugu 5th d51355 larger gassormic tritone
27/19 608.3520    inu 4th, 19u4 A419 larger undevicesimal tritone
91/64 609.3536    3oz5, thozo 5th d591 larger huntmic tritone, octave-reduced 91st harmonic
64/45 609.7763    g5, gu 5th d55 larger pental tritone, diatonic tritone ([6 -2 -1)
729/512 611.7300    Lw4, lawa 4th A4 Pythagorean tritone
10/7 617.4878    ry4, ruyo 4th A457 diminished fifth, Euler's tritone, superaugmented fourth
23/16 628.2743    23o5, twetho 5th A423 vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
36/25 631.2826    gg5, gugu 5th d525 pental diminished fifth, classic diminshed fifth ([2 2 -2)
13/9 636.6177    3o5, tho 5th d513 tridecimal diminished fifth
16/11 648.6821    1u5, lu 5th P511 sub-fifth, paraminor fifth, octave-reduced 11th subharmonic
35/24 653.1846    zy5, zoyo 5th P535 septimal sub-fifth
19/13 656.9854    19o3u5, nothu 5th P51913 undevicesimal sub-fifth
22/15 663.0492    1og5, logu 5th d5115 undecimal diminished fifth, semidiminished fifth
72/49 666.2589    rr4, ruru 4th A449 septimal catafifth
25/17 667.6720    17uyy4, suyoyo 4th AA45,517 vengeance subfifth
81/55 670.1883    1ug5, lugu 5th P555 undecimal catafifth
28/19 671.3129    19uz5, nuzo 5th P5719 hendrix fifth
34/23 676.6811    23u17o5, twethuso 5th d61723 vicesimotertial grave fifth
262144/177147 678.4950    sasawa 6th, ssw6 d6 Pythagorean wolf fifth
40/27 680.4487    y5, yo 5th P55 grave fifth
95/64 683.8267    19oy5, noyo 5th P55,19 undevicesimal harmonic fifth
52/35 685.3880    3org5, thorugu 5th d51335 animist fifth
180/121 687.5878    1uuy5, luluyo 5th A5511,11 narrow biyatismic fifth
112/75 694.2435    zgg6, zogugu 6th d6725 marvelous fifth
121/81 694.8159    1oo5, lolo 5th d511,11 rastmic fifth, Alpharabian narrow fifth
323/216 696.6034    19o17o6, noso 6th d617,19 undevicesimal meantone fifth
256/171 698.5770    19u5, inu 5th P519 undevicesimal subharmonic fifth
16384/10935 700.0013    sg6, sagu 6th d65 Kirnberger's fifth ("12-EDO"-esque fifth)
3/2 701.9550    w5, wa 5th P5 just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121 706.7177    3o1uuz6, tholuluzo 6th m67,1311,11 tridecimal gentle fifth ([1, 0, 0, 1, -2, 1)
176/117 706.8803    3u1o5, thulo 5th P51113 minthmic fifth ([4, -2, 0, 0, 1, -1)
128/85 708.7309    17ug5, sugu 5th P585 archagall fifth, septendecimal subharmonic fifth
245/162 716.1455    zzy6, zozoyo 6th m65,7,7 sensamagic fifth
121/80 716.3222    1oog5, lologu 5th d51215 wide biyatismic fifth
50/33 719.3545    1uyy5, luyoyo 5th A52511 ptolemismic fifth, "5EDO"-esque fifth
97/64 719.8954    97o5 P597 nonacesimoseptimal harmonic fifth
144/95 720.0833    19ug5, nugu 5th P55,19 undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth
38/25 724.8856    19ogg6, nogugu 6th d6195,5 undevicesimal diminished sixth, undevicesimal acute fifth
32/21 729.2191    r5, ru 5th P57 super-fifth, wide fifth, octave-reduced 21st subharmonic
26/17 735.5723    17u3o5, sutho 5th P51317 septendecimal super-fifth
49/32 737.6518    zz6, zozo 6th m649 superduper fifth, octave-reduced 49th harmonic
23/15 740.0056    23og6, twethogu 6th P5235 vicesimotertial ultraminor sixth
20/13 745.7861    3uy5, thuyo 5th A5513 tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
128/83 749.9527    83u5 P583 83rd subharmonic, octacesimotertial subharmonic semitenth
17/11 753.6375    17o1u6, solu 6th m61711 septendecimal subminor sixth
14/9 764.9159    z6, zo 6th m67 subminor sixth, septimal minor sixth
25/16 772.6274    yy5, yoyo 5th A525 pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
36/23 775.6357    23u5, twethu 5th m623 vicesimotertial augmented fifth
11/7 782.4920    1or5, loru 5th P5117 undecimal subminor sixth, undecimal augmented fifth
63/40 786.4222    zg6, zogu 6th m675 narrow minor sixth
52/33 787.2547    3o1u6, tholu 6th m61311 tridecimal minor sixth
30/19 790.7557    19uy5, nuyo 5th A5519 small undevicesimal minor sixth, Eratosthenes' minor sixth
128/81 792.1800    sw6, sawa 6th m6 Pythagorean minor sixth, octave-reduced 81st subharmonic
19/12 795.5580    19o6, ino 6th m619 large undevicesimal minor sixth, Boethius' minor sixth
27/17 800.9096    17u5, su 5th A517 septendecimal quasi-tempered minor sixth
35/22 803.8217    1uzy6, luzoyo 6th n65,711 fwiwismic minor sixth
8/5 813.6863    g6, gu 6th m65 classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
21/13 830.2532    3uz6, thuzo 6th M6713 tridecimal supraminor sixth
34/21 834.1745    17or6, soru 6th m6177 septendecimal supraminor sixth
13/8 840.5277    3o6, tho 6th m613 lesser tridecimal neutral sixth, octave-reduced 13th harmonic
80/49 848.6619    rry5, ruruyo aug 5th A5549 (purple 6th)
49/30 849.3832    zzg7, zozogu 7th d7495 (purple 6th)
18/11 852.5921    1u6, lu 6th M611 undecimal neutral sixth
105/64 857.0946    zy6, zoyo 6th M635 quasi-tempered 5/7-octave, octave-reduced 105th harmonic
23/14 859.4484    23or6, twethoru 6th A5237 vicesimotertial neutral sixth
28/17 863.8705    17uz6, suzo 6th M6717 septendecimal submajor sixth
38/23 869.2387    23u19o6, twethuno 6th d71923 vicesimotertial submajor sixth
5/3 884.3587    y6, yo 6th M65 classic major sixth, just major sixth
42/25 898.1535    zgg7, zogugu 7th d7725 quasi-tempered major sixth
486/289 899.8642    17uu5, susu 5th AA517, 17 semitonismic quasi-tempered major sixth
32/19 902.4870    19u6, inu 6th M619 utonal major sixth, octave-reduced 19th subharmonic
27/16 905.8650    w6, wa 6th M6 Pythagorean major sixth, octave-reduced 27th harmonic
76/45 907.2893    19og7, nogu 7th d7195 Eratosthenes' major sixth
22/13 910.7908    3u1o6, thulo 6th M61113 tridecimal major sixth
17/10 918.6417    17og7, sogu 7th d7175 septendecimal diminished seventh, septendecimal major sixth, diatismic major sixth
46/27 922.4093    twetho 7th, 23o7 M623 vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
12/7 933.1291    r6, ru 6th M67 supermajor sixth, septimal major sixth
55/32 937.6317    1oy6, loyo 6th M655 keenanismic supermajor sixth, octave-reduced 55th harmonic
19/11 946.1951    19o1u7, nolu 7th m71911 undevicesimal semitwelfth, maximal major sixth
140/81 947.3196    zy7, zoyo 7th m735 septimal semidiminished seventh, septimal inframinor seventh
97/56 951.0695    97or6, ninety-soru 6th M6977 homothetic semitwelth
26/15 952.2589    3og7, thogu 7th d7135 tridecimal semitwelfth
40/23 958.0394    23uy6, twethuyo 6th m7523 vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
7/4 968.8259    z7, zo 7th m77 subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
225/128 976.5374    Lyy6, layoyo 6th A625 marvel five-limit harmonic seventh, octave-reduced 225th harmonic ([-7, 2, 2)
44/25 978.6905    1ogg7, logugu 7th d7115,5 ptolemismic minor seventh, undecimal grave minor seventh
30/17 983.3133    17uy6, suyo 6th A6517 septendecimal minor seventh
23/13 987.7467    23o3u7, twethothu 7th A62313 vicesimotertial minor seventh
71/40 993.3828    71oy7 m7715 harmonic/just minor seventh meantone
16/9 996.0900    w7, wa 7th m7 Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
57/32 999.4680    19o7, ino 7th m719 quasi-tempered minor seventh, octave-reduced 57th harmonic
25/14 1003.802    ryy6, ruyoyo 6th A6257 middle minor seventh
34/19 1007.442    19u17o7, nuso 7th m71719 quasi-meantone minor seventh
9/5 1017.596    g5, gu 7th m75 classic minor seventh, large minor seventh
38/21 1026.732    19or7, noru 7th m7197 minor neutral undevicesimal seventh
29/16 1029.577    29o7, tweno 7th m729 vicesimononal supraminor seventh, octave-reduced 29th harmonic
20/11 1034.996    1uy7, luyo 7th M7511 undecimal supraminor seventh, small undecimal neutral seventh
42/23 1042.507    23uz7, twethuzo 7th d8723 small vicesimotertial neutral seventh
64/35 1044.860    rg7, rugu 7th m735 septimal neutral seventh
11/6 1049.363    1o7, ilo 7th m711 undecimal neutral seventh, 21/4-tone
46/25 1055.647    twethogugu octave, 23ogg8 m7235,5 large vicesimotertial neutral seventh
24/13 1061.427    3u7, thu 7th M713 tridecimal neutral seventh
50/27 1066.762    yoyo 7th, yy7 M75,5 grave major seventh
13/7 1071.702    3or7, thoru 7th m7137 tridecimal submajor seventh, 16/3-tone
28/15 1080.557    zg8, zogu octave d875 grave major seventh, octave minus a ruyo aug unison
15/8 1088.269    y7, yo 7th M75 classic major seventh, just major seventh, octave-reduced 15th harmonic
32/17 1095.045    17u7, su 7th M717 septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), octave-reduced 17th subharmonic
17/9 1101.045    17o8, iso octave d817 septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
36/19 1106.397    19u7, inu 7th M719 undevicesimal major seventh, Boethius' major seventh
243/128 1109.775    Lw7, lawa 7th M7 Pythagorean major seventh, octave-reduced 243rd harmonic
19/10 1111.199    19og8, nogu 8ve d8195 undevicesimal diminished octave, Eratosthenes' major seventh
40/21 1115.533    ry7, ruyo 7th M757 septimal acute major seventh
61/32 1116.885    61o7, siwo 7th M761 octave-reduced 61st harmonic
21/11 1119.463    1uz8, luzo 8ve P8711 large undecimal diminished octave, undecimal major seventh
44/23 1123.044    23u1o7, twethulo 7th d81123 small vicesimotertial major seventh
23/12 1126.319    23o8, twetho 8ve M723 large vicesimotertial major seventh
48/25 1129.328    gg8, gugu octave d825 classic diminished octave
25/13 1132.100    3uyy7, thuyoyo 7th A75,513 lesser tridecimal diminished octave
27/14 1137.039    r7, ru 7th M77 supermajor seventh, septimal major seventh
31/16 1145.036    31o7, thiwo 7th M731 tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
64/33 1146.727    1u8, lu octave P811 undecimal semidiminished octave, octave-reduced 33rd subharmonic
35/18 1151.240    zy8, zoyo octave P835 septimal semidiminished octave
96/49 1164.303    rr7, ruru 7th M749 septimal ultramajor seventh
49/25 1165.024    zzgg9, bizogu 9th d94925 BP eighth
63/32 1172.736    z8, zo octave P87 septimal suboctave, octave-reduced 63rd harmonic
160/81 1178.494    y8, yo octave P85 syntonic suboctave
255/128 1193.224    17oy8, soyo octave P885 charismic suboctave, octave-reduced 255th harmonic
2/1 1200.000    w8, wa octave P8 octave, diapason

Notes

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

Intervals larger than an octave

Frequency Ratio Cents Value
(7 sig. dig.)
Sagittal
notation
Color Name FJS Name Some common names
27/13 1265.337 [note 1]     3u8 thu8ve     [note 2] A813[note 3] Luxembourg eighth
23/11 1276.956    23o1u9 twetholu 9th A82311 vicesimotertial minor ninth
19/9 1293.603    19o9 ino 9th m919 undevicesimal minor ninth
17/8 1304.955    17o9 iso 9th m917 septendecimal minor ninth
32/15 1311.731    g9 gu 9th m95 classic minor ninth
15/7 1319.443    ry8 ruyo 8ve A857 septimal minor ninth
13/6 1338.573    3o9 tho 9th m913 tridecimal minor ninth, tridecimal neutral ninth
11/5 1365.004    1o9 ilo 9th m9115 neutral ninth
20/9 1382.404    y9 yo 9th M95 Ptolemaic ninth
9/4 1403.910    w9 wa 9th M9 major ninth
25/11 1421.309    1uyy9 luyoyo 9th A92511 undecimal major ninth
16/7 1431.174    r9 ru 9th M97 septimal major ninth
7/3 1466.871    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 10th 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

Notes

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

See also

Links