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|
| Line 1: |
Line 1: |
| == Gallery of just intervals ==
| | Testing a modification of the Sagittal template to make the trailing hair space respond to the size= parameter. |
| See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]
| |
|
| |
|
| If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.
| | {{sagittal| /| }}{{sagittal| b }} |
|
| |
|
| {| class="wikitable sortable right-3" | | {{User:Dave Keenan/sagittal| /| }}{{User:Dave Keenan/sagittal| b }} |
| |-
| |
| ! Frequency Ratio
| |
| ! Cents Value <br> (6 dec. pl.)
| |
| ![[Sagittal notation|Sagittal <br> notation]]
| |
| ! [[Color notation|Color Name]]
| |
| ! [[Functional Just System|FJS Name]]
| |
| ! class="unsortable" | Some common names
| |
| |-
| |
| | [[1/1]]
| |
| | 0
| |
| | <ref>The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.</ref>   {{sagittal| ntCwh }}  
| |
| | w1, wa unison
| |
| | P1
| |
| | unity, perfect prime, Tonic
| |
| |-
| |
| | [[32805/32768]]
| |
| | 1.953721
| |
| | {{sagittal| ' }}{{nbhsp}}{{sagittal| | }}{{nbhsp}}{{sagittal|ntCwh}}  
| |
| | Ly-2, Layo comma
| |
| | d-2<sup>5</sup>
| |
| | schisma ({{Monzo|-15, 8, 1}})
| |
| |-
| |
| | [[225/224]]
| |
| | 7.711523
| |
| | {{sagittal| ~!( }}{{nbhsp}}{{sagittal| # }}{{nbhsp}}{{sagittal|ntBbl}}  
| |
| | ryy-2, Ruyoyo comma
| |
| | d-2<sup>25</sup><sub>7</sub>
| |
| | septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}})
| |
| |-
| |
| | [[126/125]]
| |
| | 13.794767
| |
| |
| |
| | zg<sup>3</sup>2, Zotrigu comma
| |
| | d2<sup>7</sup><sub>125</sub>
| |
| | septimal semicomma, starling comma ({{Monzo|1, 2, -3, 1}})
| |
| |-
| |
| | [[100/99]]
| |
| | 17.399484
| |
| |
| |
| | 1uyy1, Luyoyo comma
| |
| | A1<sup>25</sup><sub>11</sub>
| |
| | Ptolemy's comma, ptolemisma
| |
| |-
| |
| | [[99/98]]
| |
| | 17.576131
| |
| |
| |
| | 1orr-2, Loruru comma
| |
| | m-2<sup>11</sup><sub>49</sub>
| |
| | mothwellsma
| |
| |-
| |
| | [[2048/2025]]
| |
| | 19.552569
| |
| |
| |
| | sgg2, Sagugu comma
| |
| | d2<sub>25</sub>
| |
| | diaschisma ({{Monzo|11, -4, -2}})
| |
| |-
| |
| | [[81/80]]
| |
| | 21.506286
| |
| | {{sagittal| /| }}{{nbhsp}}{{sagittal|ntCwh}}  
| |
| | g1, Gu comma
| |
| | P1<sub>5</sub>
| |
| | meantone comma, syntonic comma, Didymus comma
| |
| |-
| |
| | [[531441/524288]]
| |
| | 23.460010
| |
| |
| |
| | LLw-2, Lalawa comma
| |
| | d-2
| |
| | Pythagorean comma, ditonic comma ({{Monzo|-19, 12}})
| |
| |-
| |
| | [[66/65]]
| |
| | 26.431568
| |
| |
| |
| | 3u1og1, Thulogu comma
| |
| | P1<sup>11</sup><sub>65</sub>
| |
| | winmeanma
| |
| |-
| |
| | [[65/64]]
| |
| | 26.841376
| |
| |
| |
| | 3oy1, Thoyo comma
| |
| | P1<sup>65</sup>
| |
| | wilsorma, 13th-partial chroma
| |
| |-
| |
| | [[64/63]]
| |
| | 27.264092
| |
| |
| |
| | r1, Ru comma
| |
| | P1<sub>7</sub>
| |
| | septimal comma, Archytas' comma
| |
| |-
| |
| | [[3125/3072]]
| |
| | 29.613568
| |
| |
| |
| | Ly<span style="vertical-align: super;">5</span>-2, Laquinyo comma
| |
| | dd-2<sup>3125</sup>
| |
| | magic comma, small diesis ({{Monzo|-10, -1, 5}})
| |
| |-
| |
| | [[50/49]]
| |
| | 34.975615
| |
| |
| |
| | rryy-2, Biruyo comma
| |
| | d-2<sup>25</sup><sub>49</sub>
| |
| | septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
| |
| |-
| |
| | [[49/48]]
| |
| | 35.696812
| |
| |
| |
| | zz2, Zozo comma
| |
| | m2<sup>49</sup>
| |
| | large septimal diesis, slendro diesis
| |
| |-
| |
| | [[45/44]]
| |
| | 38.905773
| |
| |
| |
| | 1uy1, Luyo comma
| |
| | A1<sup>5</sup><sub>11</sub>
| |
| | undecimal 1/5th tone
| |
| |-
| |
| | [[128/125]]
| |
| | 41.058858
| |
| |
| |
| | g<span style="vertical-align: super;">3</span>2, Trigu comma
| |
| | d2<sub>125</sub>
| |
| | diesis, minor diesis, augmented comma, enharmonic comma ({{Monzo|7, 0, -3}})
| |
| |-
| |
| | [[525/512]]
| |
| | 43.408335
| |
| |
| |
| | Lzyy1, Lazoyoyo comma
| |
| | A1<sup>175</sup>
| |
| | Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}})
| |
| |-
| |
| | [[1053/1024]]
| |
| | 48.347665
| |
| |
| |
| | L3o1, Latho comma
| |
| | P1<sup>13</sup>
| |
| | tridecimal quartertone, tridecimal flattone comma
| |
| |-
| |
| | [[36/35]]
| |
| | 48.770381
| |
| | {{sagittal| /|) }}{{nbhsp}}{{sagittal| ntCwh }}  
| |
| | rg1, Rugu comma
| |
| | P1<sub>35</sub>
| |
| | septimal quarter tone, double comma
| |
| |-
| |
| | [[250/243]]
| |
| | 49.166137
| |
| |
| |
| | y<span style="vertical-align: super;">3</span>1, Triyo comma
| |
| | A1<sup>125</sup>
| |
| | porcupine comma ({{Monzo|1, -5, 3}})
| |
| |-
| |
| | [[59049/57344]]
| |
| | 50.724102
| |
| |
| |
| | Lr-2, Laru comma
| |
| | d-2<sub>7</sub>
| |
| | Harrison's comma ({{Monzo|-13, 10, 0, -1}})
| |
| |-
| |
| | [[100/97]]
| |
| | 52.732017
| |
| |
| |
| | 97uyy1, ninety-suyoyo unison
| |
| | A1<sup>25</sup><sub>97</sub>
| |
| | shrutar quarter tone
| |
| |-
| |
| | [[33/32]]
| |
| | 53.272943
| |
| |
| |
| | 1o1, ilo unison
| |
| | P1<sup>11</sup>
| |
| | undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
| |
| |-
| |
| | [[648/625]]
| |
| | 62.565148
| |
| |
| |
| | g<span style="vertical-align: super;">4</span>2, quadgu 2nd
| |
| | d2<sub>625</sub>
| |
| | diminished comma, major diesis ({{Monzo|8, 4, -4}})
| |
| |-
| |
| | [[28/27]]
| |
| | 62.960904
| |
| |
| |
| | z2, zo 2nd
| |
| | m2<sup>7</sup>
| |
| | small septimal chroma, septimal third-tone, subminor second, septimal minor second
| |
| |-
| |
| | [[27/26]]
| |
| | 65.337341
| |
| | {{sagittal| (|\ }}{{nbhsp}}{{sagittal| ntChf }}  
| |
| | 3u1, thu unison
| |
| | A1<sub>13</sub>
| |
| | small tridecimal third tone
| |
| |-
| |
| | [[26/25]]
| |
| | 67.900234
| |
| |
| |
| | 3ogg2, thogugu 2nd
| |
| | d2<sup>13</sup><sub>25</sub>
| |
| | large tridecimal third tone
| |
| |-
| |
| | [[25/24]]
| |
| | 70.672427
| |
| |
| |
| | yy1, yoyo unison
| |
| | A1<sup>25</sup>
| |
| | chroma, classic chromatic semitone, Zarlinian semitone
| |
| |-
| |
| | [[24/23]]
| |
| | 73.680654
| |
| |
| |
| | 23u1, twethu unison
| |
| | m2<sub>23</sub>
| |
| | lesser vicesimotertial semitone
| |
| |-
| |
| |[[23/22]]
| |
| |76.956405
| |
| |
| |
| |23o1u2, twetholu 2nd
| |
| |A1<sup>23</sup><sub>11</sub>
| |
| |greater vicesimotertial semitone
| |
| |-
| |
| | [[68/65]]
| |
| | 78.114034
| |
| |
| |
| | 17o3ug2, sothugu 2nd
| |
| | m2<sup>17</sup><sub>65</sub>
| |
| | valentine semitone
| |
| |-
| |
| | [[22/21]]
| |
| | 80.537035
| |
| |
| |
| | 1or1, loru unison
| |
| | P1<sup>11</sup><sub>7</sub>
| |
| | undecimal minor semitone
| |
| |-
| |
| | [[64/61]]
| |
| | 83.115195
| |
| |
| |
| | 61u2, siwu 2nd
| |
| | m2<sub>61</sub>
| |
| | harry minor semitone
| |
| |-
| |
| | [[21/20]]
| |
| | 84.467193
| |
| |
| |
| | zg2, zogu 2nd
| |
| | m2<sup>7</sup><sub>5</sub>
| |
| | minor semitone, large septimal chroma
| |
| |-
| |
| | [[20/19]]
| |
| | 88.800698
| |
| |
| |
| | 19uy1, nuyo unison
| |
| | A1<sup>5</sup><sub>19</sub>
| |
| | small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
| |
| |-
| |
| | [[256/243]]
| |
| | 90.224996
| |
| |
| |
| | sw2, sawa 2nd
| |
| | m2
| |
| | Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{Monzo|8, -5}})
| |
| |-
| |
| | [[135/128]]
| |
| | 92.178716
| |
| |
| |
| | Ly1, layo unison
| |
| | A1<sup>5</sup>
| |
| | major limma ({{Monzo|-7, 3, 1}})
| |
| |-
| |
| | [[19/18]]
| |
| | 93.603014
| |
| |
| |
| | 19o2, ino 2nd
| |
| | m2<sup>19</sup>
| |
| | large undevicesimal semitone, undevicesimal limma, Boethius' semitone
| |
| |-
| |
| | [[18/17]]
| |
| | 98.954592
| |
| |
| |
| | 17u1, su unison
| |
| | A1<sub>17</sub>
| |
| | small septendecimal semitone, Arabic lute index finger
| |
| |-
| |
| | [[17/16]]
| |
| | 104.955410
| |
| |
| |
| | 17o2, iso 2nd
| |
| | m2<sup>17</sup>
| |
| | large septendecimal semitone, octave-reduced 17th harmonic
| |
| |-
| |
| | [[16/15]]
| |
| | 111.731285
| |
| |
| |
| | g2, gu 2nd
| |
| | m2<sub>5</sub>
| |
| | classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
| |
| |-
| |
| | [[2187/2048]]
| |
| | 113.685006
| |
| |
| |
| | Lw1, lawa unison
| |
| | A1
| |
| | apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ({{Monzo|-11, 7}})
| |
| |-
| |
| | [[77/72]]
| |
| | 116.233847
| |
| |
| |
| | 1oz2, lozo 2nd
| |
| | m2<sup>77</sup>
| |
| | undecimal secor
| |
| |-
| |
| | [[15/14]]
| |
| | 119.442808
| |
| |
| |
| | ry1, ruyo unison
| |
| | A1<sup>5</sup><sub>7</sub>
| |
| | septimal diatonic semitone
| |
| |-
| |
| | [[14/13]]
| |
| | 128.298245
| |
| |
| |
| | 3uz2, thuzo 2nd
| |
| | M2<sup>7</sup><sub>13</sub>
| |
| | tridecimal 2/3-tone, trienthird, tridecimal supraminor second
| |
| |-
| |
| | [[27/25]]
| |
| | 133.237575
| |
| |
| |
| | gg2, gugu 2nd
| |
| | m2<sub>25</sub>
| |
| | large limma
| |
| |-
| |
| | [[13/12]]
| |
| | 138.572661
| |
| |
| |
| | 3o2, tho 2nd
| |
| | m2<sup>13</sup>
| |
| | tridecimal neutral second, tridecimal 2/3-tone
| |
| |-
| |
| | [[243/224]]
| |
| | 140.949098
| |
| |
| |
| | Lr1, laru unison
| |
| | A1<sub>7</sub>
| |
| | septimal subtone ({{Monzo|-5, 5, 0, -1}})
| |
| |-
| |
| | [[88/81]]
| |
| | 143.497939
| |
| |
| |
| | 1o2, ilo 2nd
| |
| | m2<sup>11</sup>
| |
| | undecimal subtone
| |
| |-
| |
| | [[25/23]]
| |
| | 144.353081
| |
| |
| |
| | 23uyy1, twethuyoyo unison
| |
| | M2<sup>5,5</sup><sub>23</sub>
| |
| | small vicesimotertial neutral second
| |
| |-
| |
| | [[49/45]]
| |
| | 147.428097
| |
| |
| |
| | zzg3, zozogu 3rd
| |
| | d3<sup>49</sup><sub>5</sub>
| |
| | swetismic neutral second
| |
| |-
| |
| | [[12/11]]
| |
| | 150.637059
| |
| |
| |
| | 1u2, lu 2nd
| |
| | M2<sub>11</sub>
| |
| | small undecimal neutral second, 3/4-tone
| |
| |-
| |
| | [[35/32]]
| |
| | 155.139620
| |
| |
| |
| | zy2, zoyo 2nd
| |
| | M2<sup>35</sup>
| |
| | septimal neutral second
| |
| |-
| |
| |[[23/21]]
| |
| |157.493440
| |
| |
| |
| |23or2, twethoru 2nd
| |
| |A1<sup>23</sup><sub>7</sub>
| |
| |large vicesimotertial neutral second
| |
| |-
| |
| | [[78/71]]
| |
| | 162.786119
| |
| |
| |
| | 71u3o2, seventy-wutho 2nd
| |
| | m2<sup>13</sup><sub>71</sub>
| |
| | porcupine neutral second
| |
| |-
| |
| | [[11/10]]
| |
| | 165.004228
| |
| |
| |
| | 1og2, logu 2nd
| |
| | m2<sup>11</sup><sub>5</sub>
| |
| | undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
| |
| |-
| |
| | [[54/49]]
| |
| | 168.213190
| |
| |
| |
| | rr1, ruru unison
| |
| | A1<sub>49</sub>
| |
| | Zalzal's mujannab
| |
| |-
| |
| | [[21/19]]
| |
| | 173.267891
| |
| |
| |
| | 19uz2, nuzo 2nd
| |
| | M2<sup>7</sup><sub>19</sub>
| |
| | large neutral undevicesimal second
| |
| |-
| |
| | [[10/9]]
| |
| | 182.403712
| |
| |
| |
| | y2, yo 2nd
| |
| | M2<sup>5</sup>
| |
| | classic (whole) tone, minor (whole) tone
| |
| |-
| |
| | [[49/44]]
| |
| | 186.333871
| |
| |
| |
| | 1uzz3, luzozo 3rd
| |
| | m3<sup>49</sup><sub>11</sub>
| |
| | mothwellsmic major second
| |
| |-
| |
| | [[39/35]]
| |
| | 187.343042
| |
| |
| |
| | 3org2, thorugu 2nd
| |
| | m2<sup>13</sup><sub>35</sub>
| |
| | animist major second
| |
| |-
| |
| | [[6272/5625]]
| |
| | 188.486956
| |
| |
| |
| | szzg<sup>4</sup>4, sabizogugu 4th
| |
| | ddd4<sup>49</sup><sub>625</sub>
| |
| | double marvelous second, double marvelous (whole) tone
| |
| |-
| |
| | [[19/17]]
| |
| | 192.557607
| |
| |
| |
| | 19o17u2, nosu 2nd
| |
| | M2<sup>19</sup><sub>17</sub>
| |
| | quasi-meantone
| |
| |-
| |
| | [[28/25]]
| |
| | 196.198479
| |
| |
| |
| | zgg3, zogugu 3rd
| |
| | d3<sup>7</sup><sub>25</sub>
| |
| | middle major second
| |
| |-
| |
| | [[55/49]]
| |
| | 199.979843
| |
| |
| |
| | 1orry1, loruruyo unison
| |
| | A1<sup>55</sup><sub>49</sub>
| |
| | werckismic tone
| |
| |-
| |
| | [[64/57]]
| |
| | 200.531983
| |
| |
| |
| | 19u2, inu 2nd
| |
| | M2<sub>19</sub>
| |
| | quasi-tempered whole tone, octave-reduced 57th subharmonic
| |
| |-
| |
| | [[9/8]]
| |
| | 203.910002
| |
| |
| |
| | w2, wa 2nd
| |
| | M2
| |
| | Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
| |
| |-
| |
| | [[26/23]]
| |
| | 212.253315
| |
| |
| |
| | 23u3o2, twethutho 2nd
| |
| | d3<sup>13</sup><sub>23</sub>
| |
| | vicesimotertial whole tone
| |
| |-
| |
| | [[17/15]]
| |
| | 216.686695
| |
| |
| |
| | 17og3, sogu 3rd
| |
| | d3<sup>17</sup><sub>5</sub>
| |
| | septendecimal whole tone, septendecimal eventone
| |
| |-
| |
| | [[25/22]]
| |
| | 221.309485
| |
| |
| |
| | 1uyy2, luyoyo 2nd
| |
| | A2<sup>25</sup><sub>11</sub>
| |
| | ptolemismic whole tone, undecimal acute whole tone
| |
| |-
| |
| | [[729/640]]
| |
| | 225.416291
| |
| |
| |
| | Lg2, lagu 2nd
| |
| | M2<sub>5</sub>
| |
| | acute whole tone
| |
| |-
| |
| | [[57/50]]
| |
| | 226.840589
| |
| |
| |
| | 19ogg3, nogugu 3rd
| |
| | d3<sup>19</sup><sub>25</sub>
| |
| | devichromic supermajor second
| |
| |-
| |
| | [[8/7]]
| |
| | 231.174094
| |
| |
| |
| | r2, ru 2nd
| |
| | M2<sub>7</sub>
| |
| | supermajor second, septimal whole tone, octave-reduced 7th subharmonic
| |
| |-
| |
| | [[63/55]]
| |
| | 235.104252
| |
| |
| |
| | 1uzg3, luzogu 3rd
| |
| | m3<sup>7</sup><sub>55</sub>
| |
| | werckismic supermajor second
| |
| |-
| |
| | [[55/48]]
| |
| | 235.676655
| |
| |
| |
| | 1oy2, loyo 2nd
| |
| | M2<sup>55</sup>
| |
| | keenanismic supermajor second
| |
| |-
| |
| | [[224/195]]
| |
| | 240.029530
| |
| |
| |
| | 3uzg3, thuzogu 3rd
| |
| | m3<sup>7</sup><sub>65</sub>
| |
| | quasi-tempered 1/5-octave, "5EDO"-esque tone
| |
| |-
| |
| | [[23/20]]
| |
| | 241.960633
| |
| |
| |
| | 23og3, twethogu 3rd
| |
| | M2<sup>23</sup><sub>5</sub>
| |
| | vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
| |
| |-
| |
| | [[15/13]]
| |
| | 247.741053
| |
| |
| |
| | 3uy2, thuyo 2nd
| |
| | A2<sup>5</sup><sub>13</sub>
| |
| | tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
| |
| |-
| |
| | [[97/84]]
| |
| | 249.114503
| |
| |
| |
| | 97or2, ninety-soru 2nd
| |
| | M2<sup>97</sup><sub>7</sub>
| |
| | homothetic semifourth
| |
| |-
| |
| | [[81/70]]
| |
| | 252.268038
| |
| |
| |
| | rg2, rugu 2nd
| |
| | M2<sub>35</sub>
| |
| | septimal semi-augmented second, septimal ultramajor second
| |
| |-
| |
| |[[22/19]]
| |
| |253.804926
| |
| |
| |
| |19u1o2, nulo 2nd
| |
| |M2<sup>11</sup><sub>19</sub>
| |
| |undevicesimal semifourth, minimal minor third, godzilla semifourth
| |
| |-
| |
| |[[64/55]]
| |
| |262.368344
| |
| |
| |
| |1ug3, lugu 3rd
| |
| |m3<sub>55</sub>
| |
| | keenanismic subminor third, octave-reduced 55th subharmonic
| |
| |-
| |
| |[[7/6]]
| |
| |266.870906
| |
| |
| |
| |z3, zo 3rd
| |
| |m3<sup>7</sup>
| |
| |subminor third, septimal minor third
| |
| |-
| |
| |[[90/77]]
| |
| |270.079867
| |
| |
| |
| |1ury2, luruyo 2nd
| |
| |A2<sup>5</sup><sub>77</sub>
| |
| |swetismic subminor third
| |
| |-
| |
| |[[62/53]]
| |
| |271.531027
| |
| |
| |
| |53u31o2, fithu-thiwo 2nd
| |
| |M2<sup>31</sup><sub>53</sub>
| |
| |orwell subminor third
| |
| |-
| |
| |[[75/64]]
| |
| |274.582429
| |
| |
| |
| |yy2, yoyo 2nd
| |
| |A2<sup>25</sup>
| |
| |classic augmented second
| |
| |-
| |
| |[[27/23]]
| |
| |277.590655
| |
| |
| |
| |twethu 2nd, 23u2
| |
| |m3<sub>23</sub>
| |
| |vicesimotertial augmented second
| |
| |-
| |
| |[[20/17]]
| |
| |281.358304
| |
| |
| |
| |17uy2, suyo 2nd
| |
| |A2<sup>5</sup><sub>17</sub>
| |
| |septendecimal augmented second, septendecimal minor third
| |
| |-
| |
| |[[13/11]]
| |
| |289.209719
| |
| |
| |
| |3o1u3, tholu 3rd
| |
| |m3<sup>13</sup><sub>11</sub>
| |
| | tridecimal minor third
| |
| |-
| |
| |[[32/27]]
| |
| |294.134997
| |
| |
| |
| |w3, wa 3rd
| |
| |m3
| |
| |Pythagorean minor third, octave-reduced 27th subharmonic
| |
| |-
| |
| |[[19/16]]
| |
| |297.513016
| |
| |
| |
| |19o3, ino 3rd
| |
| |m3<sup>19</sup>
| |
| |otonal minor third, octave-reduced 19th harmonic
| |
| |-
| |
| |[[25/21]]
| |
| |301.846520
| |
| |
| |
| |ryy2, ruyoyo 2nd
| |
| |A2<sup>25</sup><sub>7</sub>
| |
| |quasi-tempered minor third
| |
| |-
| |
| |[[61/51]]
| |
| |309.974395
| |
| |
| |
| |61o17u2, siwosu 2nd
| |
| |A2<sup>61</sup><sub>17</sub>
| |
| |myna third
| |
| |-
| |
| |[[6/5]]
| |
| |315.641287
| |
| |
| |
| |g3, gu 3rd
| |
| |m3<sub>5</sub>
| |
| |classic minor third, just minor third
| |
| |-
| |
| |[[77/64]]
| |
| |320.143849
| |
| |
| |
| |1oz3, lozo 3rd
| |
| |m3<sup>77</sup>
| |
| |keenanismic minor third, octave-reduced 77th harmonic
| |
| |-
| |
| |[[135/112]]
| |
| |323.352810
| |
| |
| |
| |ry2, ruyo 2nd
| |
| |A2<sup>5</sup><sub>7</sub>
| |
| | large septimal minor third, marvelous minor third ({{Monzo|-4, 3, 1, -1}})
| |
| |-
| |
| |[[35/29]]
| |
| |325.562426
| |
| |
| |
| |29uzy3, twenuzoyo 3rd
| |
| |M3<sup>35</sup><sub>29</sub>
| |
| | doublewide minor third
| |
| |-
| |
| |[[23/19]]
| |
| |330.761331
| |
| |
| |
| |23o19u3, twethonu 3rd
| |
| |A2<sup>23</sup><sub>19</sub>
| |
| |vicesimotertial supraminor third
| |
| |-
| |
| |[[17/14]]
| |
| |336.129503
| |
| |
| |
| |17or3, soru 3rd
| |
| |m3<sup>17</sup><sub>5</sub>
| |
| |septendecimal supraminor third
| |
| |-
| |
| |[[175/144]]
| |
| |337.54333
| |
| |
| |
| |zyy3, zoyoyo 3rd
| |
| |M3<sup>5,5,7</sup>
| |
| |keemic minor third
| |
| |-
| |
| |[[73/60]]
| |
| |339.520756
| |
| |
| |
| |73og3, seventy-thogu 3rd
| |
| |m3<sup>73</sup><sub>5</sub>
| |
| |amity supraminor third
| |
| |-
| |
| |[[28/23]]
| |
| |340.551559
| |
| |
| |
| |23uz3, twethuzo 3rd
| |
| |d4<sup>7</sup><sub>23</sub>
| |
| |vicesimotertial neutral third
| |
| |-
| |
| |[[39/32]]
| |
| |342.482663
| |
| |
| |
| |3o3, tho 3rd
| |
| |m3<sup>13</sup>
| |
| |lesser tridecimal neutral third, octave-reduced 39th harmonic
| |
| |-
| |
| |[[128/105]]
| |
| |342.905379
| |
| |
| |
| |rg3, rugu 3rd
| |
| |m3<sub>35</sub>
| |
| |quasi-tempered 2/7-octave, 105th subharmonic
| |
| |-
| |
| |[[625/512]]
| |
| |345.254855
| |
| |
| |
| |Ly<sup>4</sup>2, laquadyo 2nd
| |
| | AA2<sup>625</sup>
| |
| |5-limit neutral third ({{Monzo|-9, 0, 4}})
| |
| |-
| |
| |[[11/9]]
| |
| | 347.407941
| |
| |
| |
| |1o3, ilo 3rd
| |
| | m3<sup>11</sup>
| |
| |undecimal neutral third
| |
| |-
| |
| |[[60/49]]
| |
| |350.616902
| |
| |
| |
| |rry2, ruruyo 2nd
| |
| |A2<sup>5</sup><sub>49</sub>
| |
| |smaller septimal neutral third, (purple 3rd)
| |
| |-
| |
| |[[49/40]]
| |
| |351.338099
| |
| |
| |
| | zzg4, zozogu 4th
| |
| |d4<sup>49</sup><sub>5</sub>
| |
| |larger septimal neutral third, (purple 3rd)
| |
| |-
| |
| |[[27/22]]
| |
| |354.547060
| |
| |
| |
| |1u3, lu 3rd
| |
| |M3<sub>11</sub>
| |
| |rastmic neutral third
| |
| |-
| |
| |[[16/13]]
| |
| | 359.472338
| |
| |
| |
| |3u3, thu 3rd
| |
| |M3<sub>13</sub>
| |
| |greater tridecimal neutral third, octave reduced 13subharmonic
| |
| |-
| |
| |[[21/17]]
| |
| |365.825498
| |
| |
| |
| |17uz3, suzo 3rd
| |
| |M3<sup>7</sup><sub>17</sub>
| |
| |septendecimal submajor third
| |
| |-
| |
| |[[26/21]]
| |
| |369.746754
| |
| |
| |
| |thoru 3rd, 3or3
| |
| |m3<sup>13</sup><sub>7</sub>
| |
| |tridecimal submajor third
| |
| |-
| |
| |[[51/41]]
| |
| |377.848005
| |
| |
| |
| |41u17o4, fowuso 4th
| |
| |d4<sup>17</sup><sub>41</sub>
| |
| |
| |
| |-
| |
| |[[56/45]]
| |
| |378.602191
| |
| |
| |
| |zg4, zogu 4th
| |
| |d4<sup>7</sup><sub>5</sub>
| |
| |narrow perde segah, marvelous major third
| |
| |-
| |
| |[[71/57]]
| |
| |380.228526
| |
| |
| |
| |71o19u3, seventy-wonu 3rd
| |
| |M3<sup>71</sup><sub>19</sub>
| |
| | witchcraft major third
| |
| |-
| |
| |[[76/61]]
| |
| |380.628211
| |
| |
| |
| |61u19o4, siwuno 4th
| |
| |d4<sup>19</sup><sub>61</sub>
| |
| |magic major third
| |
| |-
| |
| |[[96/77]]
| |
| |381.811152
| |
| |
| |
| |1ur3, luru 3rd
| |
| |M3<sub>77</sub>
| |
| |undecimal perde segah, keenanismic major third
| |
| |-
| |
| |[[5/4]]
| |
| |386.313714
| |
| |
| |
| |y3, yo 3rd
| |
| |M3<sup>5</sup>
| |
| |classic major third, just major third, octave-reduced 5th harmonic
| |
| |-
| |
| |[[161/128]]
| |
| |397.100254
| |
| |
| |
| |23oz4, twethozo 4th
| |
| |M3<sup>161</sup>
| |
| |just/Pythagorean major third meantone, octave-reduced 161th harmonic
| |
| |-
| |
| |[[34/27]]
| |
| |399.090407
| |
| |
| |
| |17o4, iso 4th
| |
| |d4<sup>17</sup>
| |
| |septendecimal quasi-tempered major third
| |
| |-
| |
| |[[63/50]]
| |
| |400.108480
| |
| |
| |
| |zgg4, zogugu 4th
| |
| |d4<sup>7</sup><sub>25</sub>
| |
| |quasi-tempered major third
| |
| |-
| |
| |[[24/19]]
| |
| |404.441985
| |
| |
| |
| |19u3, inu 3rd
| |
| |M3<sub>19</sub>
| |
| |Boethius' major third
| |
| |-
| |
| |[[81/64]]
| |
| |407.820003
| |
| |
| |
| |Lw3, lawa 3rd
| |
| |M3
| |
| |Pythagorean major third, octave-reduced 81st harmonic
| |
| |-
| |
| |[[19/15]]
| |
| |409.244301
| |
| |
| |
| |19og4, nogu 4th
| |
| |d4<sup>19</sup><sub>5</sub>
| |
| |Eratosthenes' major third
| |
| |-
| |
| |[[33/26]]
| |
| |412.745281
| |
| |
| |
| |3u1o3, thulo 3rd
| |
| |M3<sup>11</sup><sub>13</sub>
| |
| | tridecimal major third
| |
| |-
| |
| | [[80/63]]
| |
| | 413.577806
| |
| |
| |
| | ry3, ruyo 3rd
| |
| | M3<sup>5</sup><sub>7</sub>
| |
| | 5/7-kleismic major third
| |
| |-
| |
| |[[14/11]]
| |
| |417.507964
| |
| |
| |
| |1uz4, luzo 4th
| |
| |P4<sup>7</sup><sub>11</sub>
| |
| |undecimal major third, undecimal diminished fourth
| |
| |-
| |
| |[[23/18]]
| |
| |424.364346
| |
| |
| |
| |23o4, twetho 4th
| |
| |M3<sup>23</sup>
| |
| |vicesimotertial diminished fourth
| |
| |-
| |
| |[[32/25]]
| |
| |427.372572
| |
| |
| |
| |gg4, gugu 4th
| |
| |d4<sub>25</sub>
| |
| |classic diminished fourth
| |
| |-
| |
| |[[77/60]]
| |
| |431.875134
| |
| |
| |
| |1ozg4, lozogu 4th
| |
| |d4<sup>77</sup><sub>5</sub>
| |
| |swetismic supermajor third
| |
| |-
| |
| |[[9/7]]
| |
| |435.084095
| |
| |
| |
| |r3, ru 3rd
| |
| | M3<sub>7</sub>
| |
| |supermajor third, septimal major third
| |
| |-
| |
| |[[31/24]]
| |
| |443.080572
| |
| |
| |
| |31o3, thiwo 3rd
| |
| |M3<sup>31</sup>
| |
| | sensi supermajor third
| |
| |-
| |
| |[[22/17]]
| |
| |446.362533
| |
| |
| |
| |17u1o3, sulo 3rd
| |
| |M3<sup>11</sup><sub>17</sub>
| |
| |septendecimal supermajor third
| |
| |-
| |
| |[[35/27]]
| |
| |449.274618
| |
| |
| |
| |zy4, zoyo 4th
| |
| |P4<sup>35</sup>
| |
| |septimal semidiminished fourth
| |
| |-
| |
| |[[83/64]]
| |
| |450.047318
| |
| |
| |
| |83o4
| |
| |P4<sup>83</sup>
| |
| |octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
| |
| |-
| |
| |[[13/10]]
| |
| |454.213948
| |
| |
| |
| |3og4, thogu 4th
| |
| |d4<sup>13</sup><sub>5</sub>
| |
| |tridecimal semisixth, Barbados third, tridecimal 9/4 tone
| |
| |-
| |
| |[[30/23]]
| |
| |459.994368
| |
| |
| |
| |23uy3, twethuyo 3rd
| |
| |P4<sup>5</sup><sub>23</sub>
| |
| |vicesimotertial ultramajor third
| |
| |-
| |
| |[[64/49]]
| |
| |462.348187
| |
| |
| |
| |rr3, ruru 3rd
| |
| |M3<sub>49</sub>
| |
| | septatonic major third
| |
| |-
| |
| |[[17/13]]
| |
| |464.427748
| |
| |
| |
| |17o3u4, sothu 4th
| |
| |P4<sup>17</sup><sub>13</sub>
| |
| |septendecimal sub-fourth
| |
| |-
| |
| |[[21/16]]
| |
| |470.780907
| |
| |
| |
| |z4, zo 4th
| |
| |P4<sup>7</sup>
| |
| |sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
| |
| |-
| |
| |[[25/19]]
| |
| |475.114412
| |
| |
| |
| |19uyy3, nuyoyo 3rd
| |
| |A3<sup>5,5</sup><sub>19</sub>
| |
| |undevicesimal augmented third, undevicesimal grave fourth
| |
| |-
| |
| |[[128/97]]
| |
| |480.104589
| |
| |
| |
| |97u4
| |
| |P4<sub>97</sub>
| |
| |nonacesimoseptimal subharmonic fourth
| |
| |-
| |
| |[[33/25]]
| |
| |480.645516
| |
| |
| |
| |1ogg4, logugu 4th
| |
| |d4<sup>11</sup><sub>25</sub>
| |
| |ptolemismic fourth, "5EDO"-esque fourth
| |
| |-
| |
| |[[160/121]]
| |
| |483.677829
| |
| |
| |
| |1uuy4, luluyo 4th
| |
| |A4<sup>5</sup><sub>11,11</sub>
| |
| |narrow biyatismic fourth
| |
| |-
| |
| |[[117/88]]
| |
| |493.119721
| |
| |
| |
| |3o1u4, tholu 4th
| |
| |P4<sup>13</sup><sub>11</sub>
| |
| |minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
| |
| |-
| |
| |[[4/3]]
| |
| |498.044999
| |
| |
| |
| |w4, wa 4th
| |
| |P4
| |
| |just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| |
| |-
| |
| |[[75/56]]
| |
| |505.756522
| |
| |
| |
| |ryy3, ruyoyo 3rd
| |
| |A3<sup>25</sup><sub>7</sub>
| |
| |marvelous fourth
| |
| |-
| |
| |[[121/90]]
| |
| |512.412169
| |
| |
| |
| |1oog4, lologu 4th
| |
| |d4<sup>11,11</sup><sub>5</sub>
| |
| |wide biyatismic fourth
| |
| |-
| |
| |[[35/26]]
| |
| |514.611959
| |
| |
| |
| |3uzy4, thuzoyo 4th
| |
| |A4<sup>5,7</sup><sub>13</sub>
| |
| |animist fourth
| |
| |-
| |
| |[[27/20]]
| |
| |519.551289
| |
| |
| |
| |g4, gu 4th
| |
| |P4<sub>5</sub>
| |
| |acute fourth, wolf fourth
| |
| |-
| |
| |[[875/648]]
| |
| |519.94704
| |
| |
| |
| |zy<sup>3</sup>4, zotriyo 4th
| |
| |A4<sup>5,5,5,7</sup>
| |
| |maviloid generator superfourth
| |
| |-
| |
| |[[23/17]]
| |
| |523.318938
| |
| |
| |
| |23o17u4, twethosu 4th
| |
| |A3<sup>23</sup><sub>17</sub>
| |
| |vicesimotertial acute fourth
| |
| |-
| |
| |[[19/14]]
| |
| |528.687110
| |
| |
| |
| | 19or4, noru 4th
| |
| |P4<sup>19</sup><sub>7</sub>
| |
| |hendrix fourth
| |
| |-
| |
| |[[34/25]]
| |
| |532.327982
| |
| |
| |
| |17ogg5, sogugu 5th
| |
| |dd5<sup>17</sup><sub>5,5</sub>
| |
| |vengeance superfourth
| |
| |-
| |
| |[[49/36]]
| |
| |533.741811
| |
| |
| |
| |zz5, zozo 5th
| |
| |d5<sup>49</sup>
| |
| |Arabic lute acute fourth
| |
| |-
| |
| |[[15/11]]
| |
| |536.950772
| |
| |
| |
| |1uy4, luyo 4th
| |
| |A4<sup>5</sup><sub>11</sub>
| |
| | undecimal augmented fourth, subaugmented fourth
| |
| |-
| |
| |[[26/19]]
| |
| |543.014646
| |
| |
| |
| |19u3o4, nutho 4th
| |
| |P4<sup>13</sup><sub>19</sub>
| |
| |undevicesimal superfourth
| |
| |-
| |
| |[[48/35]]
| |
| |546.815381
| |
| |
| |
| |rg4, rugu 4th
| |
| |P4<sub>35</sub>
| |
| |septimal super-fourth
| |
| |-
| |
| |[[11/8]]
| |
| | 551.317942
| |
| |
| |
| |1o4, ilo 4th
| |
| |P4<sup>11</sup>
| |
| |super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
| |
| |-
| |
| |[[18/13]]
| |
| | 563.382340
| |
| |
| |
| |3u4, thu 4th
| |
| |A4<sub>13</sub>
| |
| |tridecimal augmented fourth
| |
| |-
| |
| |[[25/18]]
| |
| |568.717426
| |
| |
| |
| |yy4, yoyo 4th
| |
| |A4<sup>25</sup>
| |
| |classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
| |
| |-
| |
| |[[32/23]]
| |
| |571.725653
| |
| |
| |
| |23u4, twethu 4th
| |
| |d5<sub>23</sub>
| |
| |vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
| |
| |-
| |
| | [[88/63]]
| |
| | 578.582034
| |
| |
| |
| | 1or4, loru 4th
| |
| | P4<sup>11</sup><sub>7</sub>
| |
| | pentacircle diminished fifth
| |
| |-
| |
| | [[7/5]]
| |
| |582.512193
| |
| |
| |
| |zg5, zogu 5th
| |
| |d5<sup>7</sup><sub>5</sub>
| |
| |augmented fourth, septimal tritone, Huygen's tritone
| |
| |-
| |
| |[[108/77]]
| |
| |585.721154
| |
| |
| |
| |1ur4, luru 4th
| |
| |A4<sub>77</sub>
| |
| |swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}})
| |
| |-
| |
| |[[45/32]]
| |
| |590.223716
| |
| |
| |
| |y4, yo 4th
| |
| |A4<sup>5</sup>
| |
| |smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
| |
| |-
| |
| |[[128/91]]
| |
| |590.646432
| |
| |
| |
| |3ur4, thuru 4th
| |
| |A4<sub>91</sub>
| |
| |smaller huntmic tritone, 91st subharmonic
| |
| |-
| |
| |[[38/27]]
| |
| |591.648014
| |
| |
| |
| |ino 5th, 19o5
| |
| |d5<sup>19</sup>
| |
| |smaller undevicesimal tritone
| |
| |-
| |
| |[[55/39]]
| |
| |595.148994
| |
| |
| |
| |3u1oy4, thuloyo 4th
| |
| |A4<sup>55</sup><sub>13</sub>
| |
| |smaller gassormic tritone
| |
| |-
| |
| |[[24/17]]
| |
| |596.999591
| |
| |
| |
| |17u4, su 4th
| |
| |A4<sub>17</sub>
| |
| |smaller septendecimal tritone
| |
| |-
| |
| |[[99/70]]
| |
| |600.088324
| |
| |
| |
| |1org4, lorugu 4th
| |
| |P4<sup>11</sup><sub>35</sub>
| |
| |homothetic quasi-tempered tritone
| |
| |-
| |
| |[[17/12]]
| |
| |603.000409
| |
| |
| |
| |17o5, iso 5th
| |
| |d5<sup>17</sup>
| |
| |larger septendecimal tritone
| |
| |-
| |
| |[[78/55]]
| |
| |604.851006
| |
| |
| |
| |3o1ug5, tholugu 5th
| |
| |d5<sup>13</sup><sub>55</sub>
| |
| |larger gassormic tritone
| |
| |-
| |
| |[[27/19]]
| |
| |608.351987
| |
| |
| |
| |inu 4th, 19u4
| |
| |A4<sub>19</sub>
| |
| |larger undevicesimal tritone
| |
| |-
| |
| |[[91/64]]
| |
| |609.353568
| |
| |
| |
| |3oz5, thozo 5th
| |
| |d5<sup>91</sup>
| |
| |larger huntmic tritone, octave-reduced 91st harmonic
| |
| |-
| |
| |[[64/45]]
| |
| |609.776284
| |
| |
| |
| |g5, gu 5th
| |
| |d5<sub>5</sub>
| |
| |larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
| |
| |-
| |
| |[[10/7]]
| |
| |617.487807
| |
| |
| |
| |ry4, ruyo 4th
| |
| |A4<sup>5</sup><sub>7</sub>
| |
| |diminished fifth, Euler's tritone, superaugmented fourth
| |
| |-
| |
| |[[23/16]]
| |
| |628.274347
| |
| |
| |
| |23o5, twetho 5th
| |
| |A4<sup>23</sup>
| |
| |vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
| |
| |-
| |
| |[[36/25]]
| |
| |631.282574
| |
| |
| |
| |gg5, gugu 5th
| |
| |d5<sub>25</sub>
| |
| |pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}})
| |
| |-
| |
| |[[13/9]]
| |
| | 636.617660
| |
| |
| |
| |3o5, tho 5th
| |
| |d5<sup>13</sup>
| |
| |tridecimal diminished fifth
| |
| |-
| |
| |[[16/11]]
| |
| |648.682058
| |
| |
| |
| |1u5, lu 5th
| |
| |P5<sub>11</sub>
| |
| |sub-fifth, octave-reduced 11th subharmonic
| |
| |-
| |
| |[[35/24]]
| |
| |653.184619
| |
| |
| |
| |zy5, zoyo 5th
| |
| |P5<sup>35</sup>
| |
| |septimal sub-fifth
| |
| |-
| |
| |[[19/13]]
| |
| |656.985354
| |
| |
| |
| |19o3u5, nothu 5th
| |
| |P5<sup>19</sup><sub>13</sub>
| |
| |undevicesimal subfifth
| |
| |-
| |
| |[[22/15]]
| |
| |663.049228
| |
| |
| |
| |1og5, logu 5th
| |
| |d5<sup>11</sup><sub>5</sub>
| |
| | undecimal diminished fifth, semidiminished fifth
| |
| |-
| |
| |[[72/49]]
| |
| |666.258889
| |
| |
| |
| |rr4, ruru 4th
| |
| |A4<sub>49</sub>
| |
| |septimal catafifth
| |
| |-
| |
| |[[25/17]]
| |
| |667.672018
| |
| |
| |
| |17uyy4, suyoyo 4th
| |
| |AA4<sup>5,5</sup><sub>17</sub>
| |
| |vengeance subfifth
| |
| |-
| |
| |[[81/55]]
| |
| |670.188347
| |
| |
| |
| |1ug5, lugu 5th
| |
| |P5<sub>55</sub>
| |
| |undecimal catafifth
| |
| |-
| |
| |[[28/19]]
| |
| |671.312890
| |
| |
| |
| | 19uz5, nuzo 5th
| |
| |P5<sup>7</sup><sub>19</sub>
| |
| |hendrix fifth
| |
| |-
| |
| |[[34/23]]
| |
| |676.681062
| |
| |
| |
| |23u17o5, twethuso 5th
| |
| |d6<sup>17</sup><sub>23</sub>
| |
| |vicesimotertial grave fifth
| |
| |-
| |
| |[[262144/177147]]
| |
| |678.494990
| |
| |
| |
| |sasawa 6th, ssw6
| |
| |d6
| |
| |Pythagorean wolf fifth
| |
| |-
| |
| |[[40/27]]
| |
| |680.448711
| |
| |
| |
| |y5, yo 5th
| |
| |P5<sup>5</sup>
| |
| |grave fifth
| |
| |-
| |
| |[[52/35]]
| |
| |685.388041
| |
| |
| |
| |3org5, thorugu 5th
| |
| |d5<sup>13</sup><sub>35</sub>
| |
| |animist fifth
| |
| |-
| |
| |[[180/121]]
| |
| |687.587831
| |
| |
| |
| |1uuy5, luluyo 5th
| |
| |A5<sup>5</sup><sub>11,11</sub>
| |
| |narrow biyatismic fifth
| |
| |-
| |
| |[[112/75]]
| |
| |694.243478
| |
| |
| |
| |zgg6, zogugu 6th
| |
| |d6<sup>7</sup><sub>25</sub>
| |
| |marvelous fifth
| |
| |-
| |
| |[[121/81]]
| |
| |694.815881
| |
| |
| |
| |1oo5, lolo 5th
| |
| |d5<sup>11,11</sup>
| |
| |rastmic fifth, Alpharabian narrow fifth
| |
| |-
| |
| |[[323/216]]
| |
| |696.603423
| |
| |
| |
| |19o17o6, noso 6th
| |
| |d6<sup>17,19</sup>
| |
| |undevicesimal meantone fifth
| |
| |-
| |
| |[[16384/10935]]
| |
| |700.001280
| |
| |
| |
| |sg6, sagu 6th
| |
| |d6<sub>5</sub>
| |
| |Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
| |
| |-
| |
| |[[3/2]]
| |
| |701.955001
| |
| |
| |
| |w5, wa 5th
| |
| |P5
| |
| |[[just perfect fifth]], octave-reduced 3rd harmonic, diapente
| |
| |-
| |
| |[[182/121]]
| |
| |706.717684
| |
| |
| |
| |3o1uuz6, tholuluzo 6th
| |
| |m6<sup>7,13</sup><sub>11,11</sub>
| |
| |tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
| |
| |-
| |
| |[[176/117]]
| |
| |706.880279
| |
| |
| |
| |3u1o5, thulo 5th
| |
| |P5<sup>11</sup><sub>13</sub>
| |
| |minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
| |
| |-
| |
| |[[121/80]]
| |
| |716.322171
| |
| |
| |
| |1oog5, lologu 5th
| |
| |d5<sup>121</sup><sub>5</sub>
| |
| |wide biyatismic fifth
| |
| |-
| |
| |[[50/33]]
| |
| |719.354484
| |
| |
| |
| |1uyy5, luyoyo 5th
| |
| |A5<sup>25</sup><sub>11</sub>
| |
| |ptolemismic fifth, "[[5edo|5EDO]]"-esque fifth
| |
| |-
| |
| |[[97/64]]
| |
| |719.895411
| |
| |
| |
| |97o5
| |
| |P5<sup>97</sup>
| |
| |nonacesimoseptimal harmonic fifth
| |
| |-
| |
| |[[38/25]]
| |
| |724.885588
| |
| |
| |
| |19ogg6, nogugu 6th
| |
| |d6<sup>19</sup><sub>5,5</sub>
| |
| |undevicesimal diminished sixth, undevicesimal acute fifth
| |
| |-
| |
| |[[32/21]]
| |
| |729.219093
| |
| |
| |
| |r5, ru 5th
| |
| |P5<sub>7</sub>
| |
| |super-fifth, wide fifth, octave-reduced 21st subharmonic
| |
| |-
| |
| |[[26/17]]
| |
| |735.572252
| |
| |
| |
| |17u3o5, sutho 5th
| |
| |P5<sup>13</sup><sub>17</sub>
| |
| |septendecimal super-fifth
| |
| |-
| |
| |[[49/32]]
| |
| |737.651813
| |
| |
| |
| |zz6, zozo 6th
| |
| |m6<sup>49</sup>
| |
| |superduper fifth, octave-reduced 49th harmonic
| |
| |-
| |
| |[[23/15]]
| |
| |740.005633
| |
| |
| |
| |23og6, twethogu 6th
| |
| |P5<sup>23</sup><sub>5</sub>
| |
| |vicesimotertial ultraminor sixth
| |
| |-
| |
| |[[20/13]]
| |
| |745.786052
| |
| |
| |
| |3uy5, thuyo 5th
| |
| |A5<sup>5</sup><sub>13</sub>
| |
| |tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
| |
| |-
| |
| |[[128/83]]
| |
| |749.952682
| |
| |
| |
| |83u5
| |
| |P5<sub>83</sub>
| |
| |83rd subharmonic, octacesimotertial subharmonic semitenth
| |
| |-
| |
| |[[17/11]]
| |
| |753.637467
| |
| |
| |
| |17o1u6, solu 6th
| |
| |m6<sup>17</sup><sub>11</sub>
| |
| |septendecimal subminor sixth
| |
| |-
| |
| | [[14/9]]
| |
| |764.915905
| |
| |
| |
| |z6, zo 6th
| |
| |m6<sup>7</sup>
| |
| |subminor sixth, septimal minor sixth
| |
| |-
| |
| |[[25/16]]
| |
| |772.627428
| |
| |
| |
| |yy5, yoyo 5th
| |
| |A5<sup>25</sup>
| |
| |pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
| |
| |-
| |
| |[[36/23]]
| |
| |775.635654
| |
| |
| |
| |23u5, twethu 5th
| |
| |m6<sub>23</sub>
| |
| |vicesimotertial augmented fifth
| |
| |-
| |
| |[[11/7]]
| |
| |782.492036
| |
| |
| |
| |1or5, loru 5th
| |
| |P5<sup>11</sup><sub>7</sub>
| |
| |undecimal subminor sixth, undecimal augmented fifth
| |
| |-
| |
| |[[63/40]]
| |
| |786.422194
| |
| |
| |
| |zg6, zogu 6th
| |
| |m6<sup>7</sup><sub>5</sub>
| |
| |narrow minor sixth
| |
| |-
| |
| |[[52/33]]
| |
| |787.254719
| |
| |
| |
| |3o1u6, tholu 6th
| |
| |m6<sup>13</sup><sub>11</sub>
| |
| | tridecimal minor sixth
| |
| |-
| |
| |[[30/19]]
| |
| |790.755699
| |
| |
| |
| |19uy5, nuyo 5th
| |
| |A5<sup>5</sup><sub>19</sub>
| |
| |small undevicesimal minor sixth, Eratosthenes' minor sixth
| |
| |-
| |
| |[[128/81]]
| |
| |792.179997
| |
| |
| |
| |sw6, sawa 6th
| |
| |m6
| |
| |Pythagorean minor sixth, octave-reduced 81st subharmonic
| |
| |-
| |
| |[[19/12]]
| |
| |795.558015
| |
| |
| |
| |19o6, ino 6th
| |
| |m6<sup>19</sup>
| |
| |large undevicesimal minor sixth, Boethius' minor sixth
| |
| |-
| |
| |[[27/17]]
| |
| |800.909593
| |
| |
| |
| |17u5, su 5th
| |
| |A5<sub>17</sub>
| |
| |septendecimal quasi-tempered minor sixth
| |
| |-
| |
| |[[8/5]]
| |
| |813.686286
| |
| |
| |
| |g6, gu 6th
| |
| |m6<sub>5</sub>
| |
| |classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
| |
| |-
| |
| |[[21/13]]
| |
| |830.253246
| |
| |
| |
| |3uz6, thuzo 6th
| |
| |M6<sup>7</sup><sub>13</sub>
| |
| |tridecimal supraminor sixth
| |
| |-
| |
| |[[34/21]]
| |
| |834.174502
| |
| |
| |
| |17or6, soru 6th
| |
| |m6<sup>17</sup><sub>7</sub>
| |
| |septendecimal supraminor sixth
| |
| |-
| |
| |[[13/8]]
| |
| |840.527662
| |
| |
| |
| |3o6, tho 6th
| |
| |m6<sup>13</sup>
| |
| |lesser tridecimal neutral sixth, octave-reduced 13th harmonic
| |
| |-
| |
| |[[80/49]]
| |
| |848.661901
| |
| |
| |
| |rry5, ruruyo aug 5th
| |
| |A5<sup>5</sup><sub>49</sub>
| |
| |(purple 6th)
| |
| |-
| |
| |[[49/30]]
| |
| |849.383198
| |
| |
| |
| |zzg7, zozogu 7th
| |
| |d7<sup>49</sup><sub>5</sub>
| |
| |(purple 6th)
| |
| |-
| |
| |[[18/11]]
| |
| |852.592059
| |
| |
| |
| |1u6, lu 6th
| |
| |M6<sub>11</sub>
| |
| |undecimal neutral sixth
| |
| |-
| |
| |[[105/64]]
| |
| |857.094621
| |
| |
| |
| |zy6, zoyo 6th
| |
| |M6<sup>35</sup>
| |
| |quasi-tempered 5/7-octave, octave-reduced 105th harmonic
| |
| |-
| |
| |[[23/14]]
| |
| |859.448441
| |
| |
| |
| |23or6, twethoru 6th
| |
| |A5<sup>23</sup><sub>7</sub>
| |
| |vicesimotertial neutral sixth
| |
| |-
| |
| |[[28/17]]
| |
| |863.870497
| |
| |
| |
| |17uz6, suzo 6th
| |
| |M6<sup>7</sup><sub>17</sub>
| |
| |septendecimal submajor sixth
| |
| |-
| |
| |[[38/23]]
| |
| |869.238669
| |
| |
| |
| |23u19o6, twethuno 6th
| |
| |d7<sup>19</sup><sub>23</sub>
| |
| |vicesimotertial submajor sixth
| |
| |-
| |
| |[[5/3]]
| |
| |884.358713
| |
| |
| |
| |y6, yo 6th
| |
| |M6<sup>5</sup>
| |
| |classic major sixth, just major sixth
| |
| |-
| |
| |[[42/25]]
| |
| |898.153480
| |
| |
| |
| |zgg7, zogugu 7th
| |
| |d7<sup>7</sup><sub>25</sub>
| |
| |quasi-tempered major sixth
| |
| |-
| |
| |[[32/19]]
| |
| |902.486984
| |
| |
| |
| |19u6, inu 6th
| |
| |M6<sub>19</sub>
| |
| |utonal major sixth, octave-reduced 19th subharmonic
| |
| |-
| |
| |[[27/16]]
| |
| |905.865003
| |
| |
| |
| |w6, wa 6th
| |
| |M6
| |
| |Pythagorean major sixth, octave-reduced 27th harmonic
| |
| |-
| |
| |[[22/13]]
| |
| |910.790821
| |
| |
| |
| |3u1o6, thulo 6th
| |
| |M6<sup>11</sup><sub>13</sub>
| |
| | tridecimal major sixth
| |
| |-
| |
| |[[17/10]]
| |
| |918.641696
| |
| |
| |
| |17og7, sogu 7th
| |
| |d7<sup>17</sup><sub>5</sub>
| |
| |septendecimal diminished seventh, septendecimal major sixth
| |
| |-
| |
| |[[46/27]]
| |
| |922.409345
| |
| |
| |
| |twetho 7th, 23o7
| |
| |M6<sup>23</sup>
| |
| |vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
| |
| |-
| |
| | [[12/7]]
| |
| |933.129094
| |
| |
| |
| |r6, ru 6th
| |
| | M6<sub>7</sub>
| |
| |supermajor sixth, septimal major sixth
| |
| |-
| |
| |[[55/32]]
| |
| |937.631656
| |
| |
| |
| |1oy6, loyo 6th
| |
| |M6<sup>55</sup>
| |
| |keenanismic supermajor sixth, octave-reduced 55th harmonic
| |
| |-
| |
| |[[19/11]]
| |
| |946.195074
| |
| |
| |
| |19o1u7, nolu 7th
| |
| |m7<sup>19</sup><sub>11</sub>
| |
| |undevicesimal semitwelfth, maximal major sixth
| |
| |-
| |
| |[[140/81]]
| |
| |947.319617
| |
| |
| |
| |zy7, zoyo 7th
| |
| |m7<sup>35</sup>
| |
| |septimal semidiminished seventh, septimal inframinor seventh
| |
| |-
| |
| | [[97/56]]
| |
| |951.069504
| |
| |
| |
| |97or6, ninety-soru 6th
| |
| |M6<sup>97</sup><sub>7</sub>
| |
| |homothetic semitwelth
| |
| |-
| |
| |[[26/15]]
| |
| |952.258947
| |
| |
| |
| |3og7, thogu 7th
| |
| |d7<sup>13</sup><sub>5</sub>
| |
| | tridecimal semitwelfth
| |
| |-
| |
| |[[40/23]]
| |
| |958.039367
| |
| |
| |
| |23uy6, twethuyo 6th
| |
| |m7<sup>5</sup><sub>23</sub>
| |
| |vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
| |
| |-
| |
| |[[7/4]]
| |
| |968.825906
| |
| |
| |
| |z7, zo 7th
| |
| |m7<sup>7</sup>
| |
| |subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
| |
| |-
| |
| |[[225/128]]
| |
| |976.537429
| |
| |
| |
| |Lyy6, layoyo 6th
| |
| |A6<sup>25</sup>
| |
| |marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}})
| |
| |-
| |
| |[[44/25]]
| |
| |978.690515
| |
| |
| |
| |1ogg7, logugu 7th
| |
| |d7<sup>11</sup><sub>5,5</sub>
| |
| |ptolemismic minor seventh, undecimal grave minor seventh
| |
| |-
| |
| |[[30/17]]
| |
| |983.313305
| |
| |
| |
| |17uy6, suyo 6th
| |
| |A6<sup>5</sup><sub>17</sub>
| |
| |septendecimal minor seventh
| |
| |-
| |
| |[[23/13]]
| |
| |987.746686
| |
| |
| |
| |23o3u7, twethothu 7th
| |
| |A6<sup>23</sup><sub>13</sub>
| |
| |vicesimotertial minor seventh
| |
| |-
| |
| |[[71/40]]
| |
| |993.382830
| |
| |
| |
| |71oy7
| |
| |m7<sup>71</sup><sub>5</sub>
| |
| | harmonic/just minor seventh meantone
| |
| |-
| |
| | [[16/9]]
| |
| |996.089998
| |
| |
| |
| |w7, wa 7th
| |
| |m7
| |
| |Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
| |
| |-
| |
| |[[25/14]]
| |
| |1003.801521
| |
| |
| |
| | ryy6, ruyoyo 6th
| |
| |A6<sup>25</sup><sub>7</sub>
| |
| |middle minor seventh
| |
| |-
| |
| |[[34/19]]
| |
| | 1007.442393
| |
| |
| |
| |19u17o7, nuso 7th
| |
| |m7<sup>17</sup><sub>19</sub>
| |
| |quasi-meantone minor seventh
| |
| |-
| |
| | [[9/5]]
| |
| |1017.596288
| |
| |
| |
| |g5, gu 7th
| |
| |m7<sub>5</sub>
| |
| |classic minor seventh, large minor seventh
| |
| |-
| |
| |[[38/21]]
| |
| |1026.732109
| |
| |
| |
| |19or7, noru 7th
| |
| |m7<sup>19</sup><sub>7</sub>
| |
| |minor neutral undevicesimal seventh
| |
| |-
| |
| |[[29/16]]
| |
| |1029.577194
| |
| |
| |
| |29o7, tweno 7th
| |
| |m7<sup>29</sup>
| |
| |vicesimononal supraminor seventh, octave-reduced 29th harmonic
| |
| |-
| |
| |[[20/11]]
| |
| |1034.995772
| |
| |
| |
| |1uy7, luyo 7th
| |
| |M7<sup>5</sup><sub>11</sub>
| |
| |undecimal supraminor seventh, small undecimal neutral seventh
| |
| |-
| |
| |[[42/23]]
| |
| |1042.506560
| |
| |
| |
| |23uz7, twethuzo 7th
| |
| |d8<sup>7</sup><sub>23</sub>
| |
| |small vicesimotertial neutral seventh
| |
| |-
| |
| |[[64/35]]
| |
| |1044.860380
| |
| |
| |
| |rg7, rugu 7th
| |
| |m7<sub>35</sub>
| |
| |septimal neutral seventh
| |
| |-
| |
| |[[11/6]]
| |
| |1049.362941
| |
| |
| |
| |1o7, ilo 7th
| |
| | m7<sup>11</sup>
| |
| |undecimal neutral seventh, 21/4-tone
| |
| |-
| |
| |[[46/25]]
| |
| |1055.646920
| |
| |
| |
| |twethogugu octave, 23ogg8
| |
| |m7<sup>23</sup><sub>5,5</sub>
| |
| |large vicesimotertial neutral seventh
| |
| |-
| |
| |[[24/13]]
| |
| |1061.427339
| |
| |
| |
| |3u7, thu 7th
| |
| |M7<sub>13</sub>
| |
| |tridecimal neutral seventh
| |
| |-
| |
| |[[50/27]]
| |
| |1066.762425
| |
| |
| |
| |yoyo 7th, yy7
| |
| |M7<sup>5,5</sup>
| |
| |grave major seventh
| |
| |-
| |
| |[[13/7]]
| |
| |1071.701755
| |
| |
| |
| |3or7, thoru 7th
| |
| |m7<sup>13</sup><sub>7</sub>
| |
| |tridecimal submajor seventh, 16/3-tone
| |
| |-
| |
| |[[28/15]]
| |
| |1080.557192
| |
| |
| |
| |zg8, zogu octave
| |
| |d8<sup>7</sup><sub>5</sub>
| |
| | grave major seventh, octave minus a ruyo aug unison
| |
| |-
| |
| |[[15/8]]
| |
| |1088.268715
| |
| |
| |
| |y7, yo 7th
| |
| |M7<sup>5</sup>
| |
| | classic major seventh, just major seventh, octave-reduced 15th harmonic
| |
| |-
| |
| |[[32/17]]
| |
| |1095.044590
| |
| |
| |
| |17u7, su 7th
| |
| |M7<sub>17</sub>
| |
| | septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), [[octave-reduced]] 17th [[subharmonic]]
| |
| |-
| |
| |[[17/9]]
| |
| |1101.045408
| |
| |
| |
| |17o8, iso octave
| |
| |d8<sup>17</sup>
| |
| | septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
| |
| |-
| |
| |[[36/19]]
| |
| |1106.396986
| |
| |
| |
| |19u7, inu 7th
| |
| |M7<sub>19</sub>
| |
| |undevicesimal major seventh, Boethius' major seventh
| |
| |-
| |
| | [[243/128]]
| |
| | 1109.775004
| |
| |
| |
| |Lw7, lawa 7th
| |
| |M7
| |
| |Pythagorean major seventh, [[octave-reduced]] 243rd harmonic
| |
| |-
| |
| |[[19/10]]
| |
| |1111.199302
| |
| |
| |
| |19og8, nogu 8ve
| |
| |d8<sup>19</sup><sub>5</sub>
| |
| |undevicesimal diminished octave, Eratosthenes' major seventh
| |
| |-
| |
| |[[40/21]]
| |
| |1115.532907
| |
| |
| |
| |ry7, ruyo 7th
| |
| |M7<sup>5</sup><sub>7</sub>
| |
| |septimal acute major seventh
| |
| |-
| |
| |[[61/32]]
| |
| |1116.884905
| |
| |
| |
| |61o7, siwo 7th
| |
| |M7<sup>61</sup>
| |
| |octave-reduced 61st harmonic
| |
| |-
| |
| |[[21/11]]
| |
| |1119.462965
| |
| |
| |
| |1uz8, luzo 8ve
| |
| |P8<sup>7</sup><sub>11</sub>
| |
| |large undecimal diminished octave, undecimal major seventh
| |
| |-
| |
| |[[44/23]]
| |
| |1123.043595
| |
| |
| |
| |23u1o7, twethulo 7th
| |
| |d8<sup>11</sup><sub>23</sub>
| |
| |small vicesimotertial major seventh
| |
| |-
| |
| |[[23/12]]
| |
| |1126.319346
| |
| |
| |
| |23o8, twetho 8ve
| |
| |M7<sup>23</sup>
| |
| |large vicesimotertial major seventh
| |
| |-
| |
| |[[48/25]]
| |
| |1129.327573
| |
| |
| |
| |gg8, gugu octave
| |
| |d8<sub>25</sub>
| |
| |classic diminished octave
| |
| |-
| |
| |[[25/13]]
| |
| |1132.099766
| |
| |
| |
| |3uyy7, thuyoyo 7th
| |
| |A7<sup>5,5</sup><sub>13</sub>
| |
| |lesser tridecimal diminished octave
| |
| |-
| |
| |[[27/14]]
| |
| |1137.039096
| |
| |
| |
| |r7, ru 7th
| |
| | M7<sub>7</sub>
| |
| |supermajor seventh, septimal major seventh
| |
| |-
| |
| |[[31/16]]
| |
| |1145.035572
| |
| |
| |
| |31o7, thiwo 7th
| |
| |M7<sup>31</sup>
| |
| |tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
| |
| |-
| |
| |[[64/33]]
| |
| |1146.727057
| |
| |
| |
| |1u8, lu octave
| |
| | P8<sub>11</sub>
| |
| |undecimal semidiminished octave, octave-reduced 33rd subharmonic
| |
| |-
| |
| |[[35/18]]
| |
| |1151.239619
| |
| |
| |
| |zy8, zoyo octave
| |
| |P8<sup>35</sup>
| |
| |septimal semidiminished octave
| |
| |-
| |
| |[[96/49]]
| |
| |1164.303188
| |
| |
| |
| |rr7, ruru 7th
| |
| |M7<sub>49</sub>
| |
| |septimal ultramajor seventh
| |
| |-
| |
| |[[49/25]]
| |
| | 1165.024385
| |
| |
| |
| |zzgg9, bizogu 9th
| |
| |d9<sup>49</sup><sub>25</sub>
| |
| |BP eighth
| |
| |-
| |
| |[[160/81]]
| |
| |1178.493814
| |
| |
| |
| |y8, yo octave
| |
| |P8<sup>5</sup>
| |
| |octave minus syntonic comma
| |
| |-
| |
| |[[2/1]]
| |
| | 1200
| |
| |
| |
| |w8, wa octave
| |
| |P8
| |
| |[[Octave|octave]], [[Wikipedia:Diapason|diapason]]
| |
| |}
| |
| <references />
| |
|
| |
|
| === Intervals larger than an octave ===
| | {{sagittal| /| |size=500%|height=32px}}{{sagittal| b |size=500%|height=32px}} |
| In the color names, "co" or "c" stands for compound, {{w|Interval (music) #Compound intervals|a conventional music term}}. {{todo|add color name}}
| | |
| {| class="wikitable sortable right-3"
| | {{User:Dave Keenan/sagittal| /| |size=500%|height=32px}}{{User:Dave Keenan/sagittal| b |size=500%|height=32px}} |
| |-
| |
| ! Frequency Ratio
| |
| ! Cents Value<br>(3 dec. pl.)
| |
| ![[Sagittal notation|Sagittal <br> notation]]
| |
| ! colspan="2" |[[Color notation|Color Name]]
| |
| ! FJS Name
| |
| ! Some common names
| |
| |-
| |
| | [[27/13]]
| |
| | 1265.337
| |
| | <ref>The sagittal notation given is the default spelling, based on 1/1 = C, in the pitch-class-sensitive medium-precision (Athenian) JI notation, using the evo flavour. A whole-note indicates exact notation. A half-note notehead indicates it's within 0.4 ¢, a black notehead within 2 ¢.</ref>   
| |
| | 3u8
| |
| | thu8ve
| |
| | A8<sub>13</sub> | |
| | Luxembourg eighth | |
| |- | |
| | [[23/11]] | |
| | 1276.956 | |
| | | |
| | 23o1u9
| |
| | twetholu 9th
| |
| | A8<sup>23</sup><sub>11</sub>
| |
| | vicesimotertial minor ninth
| |
| |-
| |
| | [[19/9]]
| |
| | 1293.603
| |
| |
| |
| | 19o9
| |
| | ino 9th
| |
| | m9<sup>19</sup>
| |
| | undevicesimal minor ninth
| |
| |-
| |
| | [[17/8]]
| |
| | 1304.955
| |
| |
| |
| | 17o9
| |
| | iso 9th
| |
| | m9<sup>17</sup>
| |
| | septendecimal minor ninth
| |
| |-
| |
| | [[32/15]]
| |
| | 1311.731
| |
| |
| |
| | g9
| |
| | gu 9th
| |
| | m9<sub>5</sub>
| |
| | classic minor ninth
| |
| |-
| |
| | [[15/7]]
| |
| | 1319.443
| |
| |
| |
| | ry8
| |
| | ruyo 8ve
| |
| | A8<sup>5</sup><sub>7</sub>
| |
| | septimal minor ninth
| |
| |-
| |
| | [[13/6]]
| |
| | 1338.573
| |
| |
| |
| | 3o9
| |
| | tho 9th
| |
| | m9<sup>13</sup>
| |
| | tridecimal minor ninth, tridecimal neutral ninth
| |
| |-
| |
| | [[11/5]]
| |
| | 1365.004
| |
| |
| |
| | 1o9
| |
| | ilo 9th
| |
| | m9<sup>11</sup><sub>5</sub>
| |
| | neutral ninth
| |
| |-
| |
| | [[20/9]]
| |
| | 1382.404
| |
| |
| |
| | y9
| |
| | yo 9th
| |
| | M9<sup>5</sup>
| |
| | Ptolemaic ninth
| |
| |-
| |
| | [[9/4]]
| |
| | 1403.910
| |
| |
| |
| | w9
| |
| | wa 9th
| |
| | M9
| |
| | major ninth
| |
| |-
| |
| | [[16/7]]
| |
| | 1431.174
| |
| |
| |
| | r9
| |
| | ru 9th
| |
| | M9<sub>7</sub>
| |
| | septimal major ninth
| |
| |-
| |
| | [[7/3]]
| |
| | 1466.871
| |
| |
| |
| | z10
| |
| | zo 10th
| |
| | m10<sup>7</sup>
| |
| | septimal minor tenth
| |
| |-
| |
| | [[19/8]]
| |
| | 1497.513
| |
| |
| |
| | 19o3
| |
| | ino 10th
| |
| |
| |
| | undevicesimal minor tenth
| |
| |-
| |
| | [[12/5]]
| |
| | 1515.641
| |
| |
| |
| | g10
| |
| | gu 10th
| |
| | m10<sub>5</sub>
| |
| | classic minor tenth
| |
| |-
| |
| | [[17/7]]
| |
| | 1536.130
| |
| |
| |
| | 17or10
| |
| | soru 10tg
| |
| | m10<sup>17</sup><sub>7</sub>
| |
| | septendecimal minor tenth
| |
| |-
| |
| | [[27/11]]
| |
| | 1554.547
| |
| |
| |
| | c1u3
| |
| | colu 3rd
| |
| | M10<sub>11</sub>
| |
| | rastmic neutral tenth
| |
| |-
| |
| | [[5/2]]
| |
| | 1586.314
| |
| |
| |
| | y10
| |
| | yo 10th
| |
| | M10<sup>5</sup>
| |
| | classic major tenth
| |
| |-
| |
| | [[18/7]]
| |
| | 1635.084
| |
| |
| |
| | r10
| |
| | ru 10th
| |
| |
| |
| | septimal supermajor tenth
| |
| |-
| |
| | [[13/5]]
| |
| | 1654.214
| |
| |
| |
| | 3og11
| |
| | thogu 11th
| |
| | d11<sup>13</sup><sub>5</sub>
| |
| | tridecimal eleventh
| |
| |-
| |
| | [[21/8]]
| |
| | 1670.781
| |
| |
| |
| | z11
| |
| | zo 11th
| |
| |
| |
| | septimal subeleventh
| |
| |-
| |
| | [[8/3]]
| |
| | 1698.045
| |
| |
| |
| | w11, cw4
| |
| | wa 11th, cowa 4th
| |
| | P11
| |
| | perfect eleventh
| |
| |-
| |
| | [[19/7]]
| |
| | 1728.687
| |
| |
| |
| | 19or11
| |
| | noru 11th
| |
| |
| |
| | undevicesimal supereleventh
| |
| |-
| |
| | [[11/4]]
| |
| | 1751.318
| |
| |
| |
| | 1o11, c1o4
| |
| | ilo 11th, colo 4th
| |
| | P11<sup>11</sup>
| |
| | undecimal semi-augmented eleventh
| |
| |-
| |
| | [[14/5]]
| |
| | 1782.512
| |
| |
| |
| | zg12, czg5
| |
| | zogu 12th, cozogu 5th
| |
| | d12<sup>7</sup><sub>5</sub>
| |
| | short septimal navatone
| |
| |-
| |
| | [[17/6]]
| |
| | 1803.000
| |
| |
| |
| | 17o12
| |
| | iso 12th
| |
| | d12<sup>17</sup>
| |
| | septendecimal navatone
| |
| |-
| |
| | [[20/7]]
| |
| | 1817.488
| |
| |
| |
| | ry11
| |
| | ruyo 11th
| |
| | A11<sup>5</sup><sub>7</sub>
| |
| | tall septimal navatone
| |
| |-
| |
| | [[23/8]]
| |
| | 1828.274
| |
| |
| |
| | 23o12
| |
| | twetho 12th
| |
| | A11<sup>23</sup>
| |
| | trivigintal navatone
| |
| |-
| |
| | [[35/12]]
| |
| | 1853.185
| |
| |
| |
| | zy12, czy5
| |
| | zoyo 12th, cozoyo 5th
| |
| |
| |
| | septimal semi-diminished twelfth
| |
| |-
| |
| | [[3/1]]
| |
| | 1901.955
| |
| |
| |
| | w12, cw5
| |
| | wa 12th, cowa 5th
| |
| | P12
| |
| | 3rd harmonic, perfect twelfth, tritave
| |
| |-
| |
| | [[28/9]]
| |
| | 1964.916
| |
| |
| |
| | z13, cz6
| |
| | zo 13th, cozo 6th
| |
| |
| |
| | septimal subminor thirteenth
| |
| |-
| |
| | [[19/6]]
| |
| | 1995.558
| |
| |
| |
| | 19o13, c19o6
| |
| | ino 13th, cono 6th
| |
| |
| |
| | undevicesimal minor thirteenth
| |
| |-
| |
| | [[16/5]]
| |
| | 2013.686
| |
| |
| |
| | g13, cg6
| |
| | gu 13th, cogu 6th
| |
| | m13<sub>5</sub>
| |
| | classic minor thirteenth
| |
| |-
| |
| | [[13/4]]
| |
| | 2040.528
| |
| |
| |
| | 3o13, c3o6
| |
| | tho 13th, cotho 6th
| |
| | m13<sup>13</sup>
| |
| | tridecimal neutral thirteenth
| |
| |-
| |
| | [[23/7]]
| |
| | 2059.448
| |
| |
| |
| | c23or13, c23or6
| |
| | cotwethoru 6th
| |
| |
| |
| | trivigintal neutral/submajor thirteenth
| |
| |-
| |
| | [[10/3]]
| |
| | 2084.359
| |
| |
| |
| | y13, cy6
| |
| | yo 13th, coyo 6th
| |
| | M13<sup>5</sup>
| |
| | just/classic(al)/ptolemaic major thirteenth
| |
| |-
| |
| | [[17/5]]
| |
| | 2118.642
| |
| |
| |
| | c17og7
| |
| | cosogu 7th
| |
| | d14<sup>17</sup><sub>5</sub>
| |
| | septendecimal major thirteenth
| |
| |-
| |
| | [[24/7]]
| |
| | 2133.129
| |
| |
| |
| | r13, cr6
| |
| | ru 13th, coru 6th
| |
| |
| |
| | septimal supermajor thirteenth
| |
| |-
| |
| | [[7/2]]
| |
| | 2168.826
| |
| |
| |
| | cz7
| |
| | cozo 7th
| |
| | m14<sup>7</sup>
| |
| | harmonic fourteenth
| |
| |-
| |
| | [[32/9]]
| |
| | 2196.090
| |
| |
| |
| | cw7
| |
| | cowa 7th
| |
| |
| |
| | 3-limit minor fourteenth
| |
| |-
| |
| | [[18/5]]
| |
| | 2217.596
| |
| |
| |
| | cg7
| |
| | cogu 7th
| |
| | m14<sub>5</sub>
| |
| | 5-limit minor fourteenth
| |
| |-
| |
| | [[11/3]]
| |
| | 2249.363
| |
| |
| |
| | c1o7
| |
| | colo 7th
| |
| | m14<sup>11</sup>
| |
| | undecimal neutral fourteenth
| |
| |-
| |
| | [[15/4]]
| |
| | 2288.269
| |
| |
| |
| | cy7
| |
| | coyo 7th
| |
| | M14<sup>5</sup>
| |
| | just/classic(al)/ptolemaic major fourteenth
| |
| |-
| |
| | [[19/5]]
| |
| | 2311.199
| |
| |
| |
| | c19og8
| |
| | nogu double 8ve
| |
| |
| |
| | undevicesimal major fourteenth
| |
| |-
| |
| | [[35/9]]
| |
| | 2351.230
| |
| |
| |
| | czy8
| |
| | zoyo double 8ve
| |
| |
| |
| | septimal semi-augmented fourteenth
| |
| |-
| |
| | [[4/1]]
| |
| | 2400.000
| |
| |
| |
| | cw8, ccw1
| |
| | wa double 8ve
| |
| | P15
| |
| | 4th harmonic, two octaves, just double octave
| |
| |-
| |
| | [[81/20]]
| |
| | 2421.506
| |
| |
| |
| | cg8, ccg1
| |
| | gu double 8ve
| |
| | P15<sub>5</sub>
| |
| | syntonic double octave
| |
| |-
| |
| | [[25/6]]
| |
| | 2470.672
| |
| |
| |
| | cyy8, ccyy1
| |
| | yoyo double 8ve
| |
| |
| |
| | classic chromatic minor sixteenth
| |
| |-
| |
| | [[17/4]]
| |
| | 2504.955
| |
| |
| |
| | c17o9, cc17o2
| |
| | coso 9th, cocoso 2nd
| |
| | m16<sup>17</sup>
| |
| | septendecimal minor sixteenth
| |
| |-
| |
| | [[64/15]]
| |
| | 2511.731
| |
| |
| |
| | cg9, ccg2
| |
| | cogu 9th, cocogu 2nd
| |
| | m16<sub>5</sub>
| |
| | classic minor sixteenth
| |
| |-
| |
| | [[13/3]]
| |
| | 2538.573
| |
| |
| |
| | c3o9, cc3o2
| |
| | cotho 9th, cocotho 2nd
| |
| | m16<sup>13</sup>
| |
| | tridecimal minor sixteenth
| |
| |-
| |
| | [[22/5]]
| |
| | 2565.004
| |
| |
| |
| | c1og9, cc1og2
| |
| | coco-logu 2nd
| |
| |
| |
| | large undecimal neutral sixteenth
| |
| |-
| |
| | [[9/2]]
| |
| | 2603.910
| |
| |
| |
| | cw9, ccw2
| |
| | cowa 9th, cocowa 2nd
| |
| | M16
| |
| | classic large major sixteenth
| |
| |-
| |
| | [[23/5]]
| |
| | 2641.961
| |
| |
| |
| | cc23og3
| |
| | coco-twethogu 3rd
| |
| |
| |
| | trivigintal supermajor sixteenth
| |
| |-
| |
| | [[14/3]]
| |
| | 2666.871
| |
| |
| |
| | ccz3
| |
| | cocozo 3rd
| |
| | m17<sup>7</sup>
| |
| | septimal subminor seventeenth
| |
| |-
| |
| | [[19/4]]
| |
| | 2696.513
| |
| |
| |
| | cc19o3
| |
| | cocono 3rd
| |
| |
| |
| | undevicesimal minor seventeenth
| |
| |-
| |
| | [[24/5]]
| |
| | 2715.641
| |
| |
| |
| | ccg3
| |
| | cocogu 3rd
| |
| |
| |
| | classic minor seventeenth
| |
| |-
| |
| | [[44/9]]
| |
| | 2747.408
| |
| |
| |
| | cc1o3
| |
| | cocolo 3rd
| |
| |
| |
| | undecimal neutral seventeenth
| |
| |-
| |
| | [[5/1]]
| |
| | 2786.314
| |
| |
| |
| | ccy3
| |
| | cocoyo 3rd
| |
| | M17<sup>5</sup>
| |
| | 5th harmonic, pentave
| |
| |-
| |
| | [[36/7]]
| |
| | 2835.084
| |
| |
| |
| | ccr3
| |
| | cocoru 3rd
| |
| |
| |
| | septimal supermajor seventeenth
| |
| |-
| |
| | [[21/4]]
| |
| | 2870.781
| |
| |
| |
| | ccz4
| |
| | cocozo 4th
| |
| |
| |
| | septimal subeighteenth
| |
| |-
| |
| | [[16/3]]
| |
| | 2898.045
| |
| |
| |
| | ccw4
| |
| | cocowa 4th
| |
| | P18
| |
| | perfect eighteenth
| |
| |-
| |
| | [[27/5]]
| |
| | 2919.551
| |
| |
| |
| | ccg4
| |
| | cocogu 4th
| |
| |
| |
| | 5-limit supereighteenth
| |
| |-
| |
| | [[11/2]]
| |
| | 2951.318
| |
| |
| |
| | cc1o4
| |
| | cocolo 4th
| |
| | P18<sup>11</sup>
| |
| | undecimal semi-augmented eighteenth
| |
| |-
| |
| | [[28/5]]
| |
| | 2982.512
| |
| |
| |
| | cczg5
| |
| | coco-zogu 5th
| |
| | d19<sup>7</sup><sub>5</sub>
| |
| | short septimal panchadashatone
| |
| |-
| |
| | [[45/8]]
| |
| | 2990.224
| |
| |
| |
| | ccy4
| |
| | cocoyo 4th
| |
| | A18<sup>5</sup>
| |
| | quinquadragintimal panchadashatone
| |
| |-
| |
| | [[17/3]]
| |
| | 3003.000
| |
| |
| |
| | cc17o5
| |
| | cocoso 5th
| |
| | d19<sup>17</sup>
| |
| | septendecimal panchadasatone
| |
| |-
| |
| | [[40/7]]
| |
| | 3017.488
| |
| |
| |
| | ccry4
| |
| | coco-ruyo 4th
| |
| | A18<sup>5</sup><sub>7</sub>
| |
| | tall septimal panchadashatone
| |
| |-
| |
| | [[23/4]]
| |
| | 3028.274
| |
| |
| |
| | cc23o5
| |
| | coco-twetho 5th
| |
| |
| |
| | vicesimotertial panchadashatone
| |
| |-
| |
| | [[35/6]]
| |
| | 3053.185
| |
| |
| |
| | cczy5
| |
| | coco-zoyo 5th
| |
| |
| |
| | septimal semi-diminished nineteenth
| |
| |-
| |
| | [[6/1]]
| |
| | 3101.955
| |
| |
| |
| | ccw5
| |
| | cocowa 5th
| |
| | P19
| |
| | 6th harmonic
| |
| |-
| |
| | [[55/9]]
| |
| | 3133.722
| |
| |
| |
| | cc1og5
| |
| | coco-logu 5th
| |
| |
| |
| | undecimal superninteenth
| |
| |-
| |
| | [[25/4]]
| |
| | 3172.627
| |
| |
| |
| | ccyy5
| |
| | coco-yoyo 5th
| |
| |
| |
| | 5-limit subminor twentieth
| |
| |-
| |
| | [[19/3]]
| |
| | 3195.558
| |
| |
| |
| | cc19o6
| |
| | cocono 6th
| |
| |
| |
| | undevicesimal minor twentieth
| |
| |-
| |
| | [[32/5]]
| |
| | 3213.686
| |
| |
| |
| | ccg6
| |
| | cocogu 6th
| |
| |
| |
| | classic minor twentieth
| |
| |-
| |
| | [[13/2]]
| |
| | 3240.528
| |
| |
| |
| | cc3o6
| |
| | cocotho 6th
| |
| | m20<sup>13</sup>
| |
| | tridecimal neutral twentieth
| |
| |-
| |
| | [[20/3]]
| |
| | 3284.359
| |
| |
| |
| | ccy6
| |
| | cocoyo 6th
| |
| |
| |
| | classic major twentieth
| |
| |-
| |
| | [[48/7]]
| |
| | 3333.129
| |
| |
| |
| | ccr6
| |
| | cocoru 6th
| |
| |
| |
| | septimal supermajor twentieth
| |
| |-
| |
| | [[7/1]]
| |
| | 3368.826
| |
| |
| |
| | ccz7
| |
| | cocozo 7th
| |
| | m21<sup>7</sup>
| |
| | 7th harmonic
| |
| |-
| |
| | [[36/5]]
| |
| | 3417.596
| |
| |
| |
| | ccg7
| |
| | cocogu 7th
| |
| |
| |
| | 5-limit minor twentyfirst
| |
| |-
| |
| | [[22/3]]
| |
| | 3449.363
| |
| |
| |
| | cc1o7
| |
| | cocolo 7th
| |
| |
| |
| | undecimal neutral twentyfirst
| |
| |-
| |
| | [[15/2]]
| |
| | 3488.269
| |
| |
| |
| | ccy7
| |
| | cocoyo 7th
| |
| | M21<sup>5</sup>
| |
| | just/classic(al)/ptolemaic major twentyfirst
| |
| |-
| |
| | [[23/3]]
| |
| | 3526.319
| |
| |
| |
| | c<sup>3</sup>23o1
| |
| | twetho triple 8ve
| |
| |
| |
| | vicesimotertial supermajor twentyfirst
| |
| |-
| |
| | [[31/4]]
| |
| | 3545.036
| |
| |
| |
| | c<sup>3</sup>31o1
| |
| | thiwo triple 8ve
| |
| |
| |
| | 31-limit semi-augmented twentyfirst
| |
| |-
| |
| | [[8/1]]
| |
| | 3600.000
| |
| |
| |
| | c<sup>3</sup>w1
| |
| | wa triple 8ve
| |
| | P22
| |
| | 8th harmonic, three octaves
| |
| |-
| |
| | [[33/4]]
| |
| | 3653.273
| |
| |
| |
| | c<sup>3</sup>1o1
| |
| | ilo triple 8ve
| |
| |
| |
| | undecimal semi-diminished twentythird
| |
| |-
| |
| | [[25/3]]
| |
| | 3670.672
| |
| |
| |
| | c<sup>3</sup>yy1
| |
| | yoyo triple 8ve
| |
| |
| |
| | classic chromatic twentythird
| |
| |-
| |
| | [[17/2]]
| |
| | 3704.955
| |
| |
| |
| | c<sup>3</sup>17o2
| |
| | tricoso 2nd
| |
| |
| |
| | septendecimal minor twentythird
| |
| |-
| |
| | [[128/15]]
| |
| | 3711.731
| |
| |
| |
| | c<sup>3</sup>g2
| |
| | tricogu 2nd
| |
| | m23<sub>5</sub>
| |
| | classic minor twenty-third
| |
| |-
| |
| | [[26/3]]
| |
| | 3738.573
| |
| |
| |
| | c<sup>3</sup>3o2
| |
| | tricotho 2nd
| |
| |
| |
| | tridecimal neutral twentythird
| |
| |-
| |
| | [[35/4]]
| |
| | 3755.140
| |
| |
| |
| | c<sup>3</sup>zy2
| |
| | trico-zoyo 2nd
| |
| |
| |
| | septimal neutral twentythird
| |
| |-
| |
| | [[9/1]]
| |
| | 3803.910
| |
| |
| |
| | c<sup>3</sup>w2
| |
| | tricowa 2nd
| |
| | M23
| |
| | 9th harmonic
| |
| |-
| |
| | [[10/1]]
| |
| | 3986.314
| |
| |
| |
| | c<sup>3</sup>y3
| |
| | tricoyo 3rd
| |
| | M24<sup>5</sup>
| |
| | 10th harmonic, decade
| |
| |-
| |
| | [[11/1]]
| |
| | 4151.318
| |
| |
| |
| | c<sup>3</sup>1o4
| |
| | tricolo 4th
| |
| | P25<sup>11</sup>
| |
| | 11th harmonic
| |
| |-
| |
| | [[12/1]]
| |
| | 4301.955
| |
| |
| |
| | c<sup>3</sup>w5
| |
| | tricowa 5th
| |
| | P26
| |
| | 12th harmonic
| |
| |-
| |
| | [[13/1]]
| |
| | 4440.528
| |
| |
| |
| | c<sup>3</sup>3o6
| |
| | tricotho 6th
| |
| | m27<sup>13</sup>
| |
| | 13th harmonic
| |
| |-
| |
| | [[14/1]]
| |
| | 4568.826
| |
| |
| |
| | c<sup>3</sup>z7
| |
| | tricozo 7th
| |
| | m28<sup>7</sup>
| |
| | 14th harmonic
| |
| |-
| |
| | [[15/1]]
| |
| | 4688.269
| |
| |
| |
| | c<sup>3</sup>y7
| |
| | tricoyo 7th
| |
| | M28<sup>5</sup>
| |
| | 15th harmonic
| |
| |-
| |
| | [[16/1]]
| |
| | 4800.000
| |
| |
| |
| | c<sup>4</sup>w1
| |
| | wa quadruple 8ve
| |
| | P29
| |
| | 16th harmonic, four octaves
| |
| |-
| |
| | [[17/1]]
| |
| | 4904.955
| |
| |
| |
| | c<sup>4</sup>17o2
| |
| | quadcoso 2nd
| |
| | m30<sup>17</sup>
| |
| | 17th harmonic
| |
| |-
| |
| | [[256/15]]
| |
| | 4911.731
| |
| |
| |
| | c<sup>4</sup>g2
| |
| | quadcogu 2nd
| |
| | m30<sub>5</sub>
| |
| | classic minor thirtieth
| |
| |-
| |
| | [[18/1]]
| |
| | 5004.910
| |
| |
| |
| | c<sup>4</sup>w2
| |
| | quadcowa 2nd
| |
| | M30
| |
| | 18th harmonic
| |
| |-
| |
| | [[19/1]]
| |
| | 5097.513
| |
| |
| |
| | c<sup>4</sup>19o3
| |
| | quadcono 3rd
| |
| | m31<sup>19</sup>
| |
| | 19th harmonic
| |
| |-
| |
| | [[20/1]]
| |
| | 5186.314
| |
| |
| |
| | c<sup>4</sup>y3
| |
| | quadcoyo 3rd
| |
| | M31<sup>5</sup>
| |
| | 20th harmonic
| |
| |-
| |
| | [[21/1]]
| |
| | 5270.781
| |
| |
| |
| | c<sup>4</sup>z4
| |
| | quadcozo 4th
| |
| | P32<sup>7</sup>
| |
| | 21st harmonic
| |
| |-
| |
| | [[22/1]]
| |
| | 5351.318
| |
| |
| |
| | c<sup>4</sup>1o4
| |
| | quadcolo 4th
| |
| | P32<sup>11</sup>
| |
| | 22nd harmonic
| |
| |-
| |
| | [[23/1]]
| |
| | 5428.274
| |
| |
| |
| | c<sup>4</sup>23o5
| |
| | quadco-twetho 5th
| |
| | A32<sup>23</sup>
| |
| | 23rd harmonic
| |
| |-
| |
| | [[24/1]]
| |
| | 5501.955
| |
| |
| |
| | c<sup>4</sup>w5
| |
| | quadcowa 5th
| |
| | P33
| |
| | 24th harmonic
| |
| |-
| |
| | [[25/1]]
| |
| | 5572.617
| |
| |
| |
| | c<sup>4</sup>yy5
| |
| | quadco-yoyo 5th
| |
| | A33<sup>5,5</sup>
| |
| | 25th harmonic
| |
| |-
| |
| | [[27/1]]
| |
| | 5705.865
| |
| |
| |
| | c<sup>4</sup>w6
| |
| | quadcowa 6th
| |
| | M34
| |
| | 27th harmonic
| |
| |-
| |
| | [[29/1]]
| |
| | 5829.577
| |
| |
| |
| | c<sup>4</sup>29o7
| |
| | quadco-tweno 7th
| |
| | m35<sup>29</sup>
| |
| | 29th harmonic
| |
| |-
| |
| | [[31/1]]
| |
| | 5945.036
| |
| |
| |
| | c<sup>4</sup>31o7
| |
| | quadco-thiwo 7th
| |
| | M35<sup>31</sup>
| |
| | 31st harmonic
| |
| |-
| |
| | [[49/1]]
| |
| | 6737.652
| |
| |
| |
| |c<sup>5</sup>zz6
| |
| |quinco-zozo 6th
| |
| | M41<sup>7,7</sup>
| |
| | 49th harmonic
| |
| |} | |
| <references />
| |