Gallery of just intervals: Difference between revisions

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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"
 
|-
{| class="wikitable"
! Frequency Ratio
! Cents Value <br> (7 sig. dig.)
! [[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 = white 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 = yellow 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 = reddish-yellow 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
| | ayy1 = amber deep yellow 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
| | jrr-2 = jade deep red 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 deep green 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 = green 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 = white 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
| | ojg1 = oche-jadish 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
| | ey1 = emerald-yellow 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 = red 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 yellow 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 = deep reddish 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
| | bb2 = deep blue 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
| | ay1 = amber-yellow 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 green 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 yellowish-yellow 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
| | gr1 = greenish 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 yellow 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 red 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 = 97esque deep yellow 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 = jade 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 green 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 = blue 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 = deep yellow 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 = 17ish ochre green 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 = jade-red 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 = 61esque 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 = bluish 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 white 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 yellow 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 = 17esque 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 = 17ish 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 = green 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 white 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 = jade-blue 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 = reddish 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 = ochre-blue 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 = deep green 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 = emerald 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 red 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 = jade 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 = bluish-blue 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 = amber 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
| | yb2 = yellowish 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= 71esque emerald 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 = jadish 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 = deep red 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 = yellow 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 = amber deep blue 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 =19ish 17esque 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 = bluish-green 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 = jade-red reddish 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 = white 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 = 17ish green 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 = red 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 = amber bluish 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 = jade-yellow 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 = ochre-yellow 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 = 19esque jade 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 = amber-green 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 = blue 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 = amber reddish 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 = 53esque 31ish 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 = deep yellow 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 = 17esque yellow 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 = emerald amber 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 = white 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 = 19ish 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 = reddish-yellow 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 = 61ish 17esque 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 = green 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 = jade blue 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 = reddish 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 = 29esque yellowish 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 = 17ish red 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 = 73ish green 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 yellow 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 = jade 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 = reddish-red 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 = bluish blue 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 = amber 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 = ochre 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 = 17esque blue 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 = bluish 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 = 41esque 17ish 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 = 71ish 19esque 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 = 61esque 19ish 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 = amber-red 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 = yellow 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 white 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 = reddish 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 = amber-blue 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 = deep green 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 = jade-bluish 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 = red 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 = 31ish 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 = 17esque jade 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 = yellowish 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 = emerald-green 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 = deep red 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 = 17ish ochre 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 = blue 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 = jadish green 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 = emerald amber 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 = white 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 = reddish-yellow 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 = green 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 = 19ish red 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 = deep blue 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 = amberish 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 = greenish 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 = jade 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 = ochre 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 = deep yellow 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 = jade-red 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 = bluish 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 = yellow 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 = amber-red 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 = 17esque 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 = 17ish 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 = green 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 = reddish 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 = 23ish 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 = deep green 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 = emerald 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 = amber 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 = yellowish 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 = jadish 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 = deep red 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 = amber green 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 = 19esque blue 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 = yellow 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 = bluish-green 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 = white 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 = emerald blue deep amber 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 = ochre-jade 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 = amber deep yellow 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 = red 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 = 17esque emerald 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 = deep blue 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 = ochreish 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 = 17ish amber 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 = blue 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 = deep yellow 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 = jade-red 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 = bluish 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 white 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 = green 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 = 59ish blue 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 = emerald 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 = reddish-red 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 = bluish-blue 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 = amber 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 = 17esque blue 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 = yellow 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 = bluish-green 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 = white 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 = ochre-jade 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 = 17ish green 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 = red 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 = emeraldish 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 = blue 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 deep yellow 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
| | 17iy6 = 17ish yellow 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 = white 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 = reddish-yellow 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 = 19esque 17ish 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 = green 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 = 29ish 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 = amberish 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 = greenish 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 = jade 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 = ochre 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 = emerald-red 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 = bluish octave
| {{sagittal| |( |size=300%}}{{sagittal|ntBbl|size=400%}}&numsp;&numsp;
| | grave major seventh, octave minus a reddish aug unison
|61o7, siwo 7th
|M7<sup>61</sup>
|octave-reduced 61st harmonic
|-
|-
| | [[15/8|15/8]]
|[[21/11]]
| | 1088.268715
|1119.463
| | y7 = yellow 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 = 17esque 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 = 17ish 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 white 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 = reddish 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 = 61ish 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 = deep green octave
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| | octave minus a deep yellow 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 = red 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 = 31ish 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 = amber 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 = yellowish octave
| {{sagittal| )!( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}&numsp;&numsp;
| | octave minus a greenish comma
|zzgg9, bizogu 9th
|d9<sup>49</sup><sub>25</sub>
|BP eighth
|-
|-
| | [[96/49|96/49]]
| [[63/32]]
| | 1164.303188
| 1172.736
| | rr7 = deep red 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 = deep bluish 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 = yellow 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 = white 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
|-
| [[36/5]]
| 3417.596
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| ccg7
| cocogu 7th
|
| 5-limit minor twentyfirst
|-
|-
! | frequency ratio
| [[22/3]]
! | cents value
| 3449.363
 
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
(three decimal places)
| cc1o7
| cocolo 7th
|
| undecimal neutral twentyfirst
|-
|-
| | [[13/6|13/6]]
| [[15/2]]
| | 1338.573
| 3488.269
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| ccy7
| cocoyo 7th
| M21<sup>5</sup>
| just/classic(al)/ptolemaic major twentyfirst
|-
|-
| | [[11/5|11/5]]
| [[23/3]]
| | 1365.004
| 3526.319
| {{sagittal| ~|( |size=300%}}{{sagittal|ntBhf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>23o1
| twetho triple 8ve
|  
| vicesimotertial supermajor twentyfirst
|-
|-
| | [[16/7|16/7]]
| [[31/4]]
| | 1431.174
| 3545.036
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}&numsp;&numsp;
| c<sup>3</sup>31o1
| thiwo triple 8ve
|  
| 31-limit semi-augmented twentyfirst
|-
|-
| | [[5/2|5/2]]
| [[8/1]]
| | 1586.314
| 3600.000
| {{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>w1
| wa triple 8ve
| P22
| 8th harmonic, three octaves
|-
|-
| | [[8/3|8/3]]
| [[33/4]]
| | 1698.045
| 3653.273
| {{sagittal| /|\ |size=300%}}{{sagittal|ntChf|size=400%}}&numsp;&numsp;
| c<sup>3</sup>1o1
| ilo triple 8ve
|  
| undecimal semi-diminished twentythird
|-
|-
| | [[11/4|11/4]]
| [[25/3]]
| | 1751.318
| 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]]