Gallery of just intervals: Difference between revisions

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Line 31: Line 31:
| w1, wa unison
| w1, wa unison
| P1
| P1
| unity, perfect prime, Tonic
| unity, perfect prime, Tonic, unison
|-
|-
| [[32805/32768]]
| [[32805/32768]]
Line 115: Line 115:
| rryy-2, Biruyo comma
| rryy-2, Biruyo comma
| d-2<sup>25</sup><sub>49</sub>
| d-2<sup>25</sup><sub>49</sub>
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
| small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
|-
|-
| [[49/48]]
| [[49/48]]
Line 121: Line 121:
| zz2, Zozo comma
| zz2, Zozo comma
| m2<sup>49</sup>
| m2<sup>49</sup>
| large septimal diesis, slendro diesis
| large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma
|-
|-
| [[45/44]]
| [[45/44]]
Line 127: Line 127:
| 1uy1, Luyo comma
| 1uy1, Luyo comma
| A1<sup>5</sup><sub>11</sub>
| A1<sup>5</sup><sub>11</sub>
| undecimal 1/5th tone
| undecimal 1/5 tone
|-
|-
| [[128/125]]
| [[128/125]]
Line 519: Line 519:
| septimal semi-augmented second, septimal ultramajor second
| septimal semi-augmented second, septimal ultramajor second
|-
|-
|[[22/19]]
| [[22/19]]
|253.804926
| 253.804926
|19u1o2, nulo 2nd
| 19u1o2, nulo 2nd
|M2<sup>11</sup><sub>19</sub>
| M2<sup>11</sup><sub>19</sub>
|undevicesimal semifourth, minimal minor third, godzilla semifourth
| undevicesimal semifourth, minimal minor third, godzilla semifourth
|-
|-
|[[64/55]]
| [[64/55]]
|262.368344
| 262.368344
|1ug3, lugu 3rd
| 1ug3, lugu 3rd
|m3<sub>55</sub>
| m3<sub>55</sub>
| keenanismic subminor third, octave-reduced 55th subharmonic
| keenanismic subminor third, octave-reduced 55th subharmonic
|-
|-
|[[7/6]]
| [[7/6]]
|266.870906
| 266.870906
|z3, zo 3rd
| z3, zo 3rd
|m3<sup>7</sup>
| m3<sup>7</sup>
|subminor third, septimal minor third
| subminor third, septimal minor third
|-
|-
|[[90/77]]
| [[90/77]]
|270.079867
| 270.079867
|1ury2, luruyo 2nd
| 1ury2, luruyo 2nd
|A2<sup>5</sup><sub>77</sub>
| A2<sup>5</sup><sub>77</sub>
|swetismic subminor third
| swetismic subminor third
|-
|-
|[[62/53]]
| [[62/53]]
|271.531027
| 271.531027
|53u31o2, fithu-thiwo 2nd
| 53u31o2, fithu-thiwo 2nd
|M2<sup>31</sup><sub>53</sub>
| M2<sup>31</sup><sub>53</sub>
|orwell subminor third
| orwell subminor third
|-
|-
|[[75/64]]
| [[75/64]]
|274.582429
| 274.582429
|yy2, yoyo 2nd
| yy2, yoyo 2nd
|A2<sup>25</sup>
| A2<sup>25</sup>
|classic augmented second
| classic augmented second
|-
|-
|[[27/23]]
| [[27/23]]
|277.590655
| 277.590655
|twethu 2nd, 23u2
| twethu 2nd, 23u2
|m3<sub>23</sub>
| m3<sub>23</sub>
|vicesimotertial augmented second
| vicesimotertial augmented second
|-
|-
|[[20/17]]
| [[20/17]]
|281.358304
| 281.358304
|17uy2, suyo 2nd
| 17uy2, suyo 2nd
|A2<sup>5</sup><sub>17</sub>
| A2<sup>5</sup><sub>17</sub>
|septendecimal augmented second, septendecimal minor third
| septendecimal augmented second, septendecimal minor third, diatismic minor third
|-
|-
|[[13/11]]
| [[13/11]]
|289.209719
| 289.209719
|3o1u3, tholu 3rd
| 3o1u3, tholu 3rd
|m3<sup>13</sup><sub>11</sub>
| m3<sup>13</sup><sub>11</sub>
| tridecimal minor third
| tridecimal minor third
|-
|-
|[[32/27]]
| [[45/38]]
|294.134997
| 292.710699
|w3, wa 3rd
| 19uy2, nuyo 2nd
|m3
| A2<sup>5</sup><sub>19</sub>
|Pythagorean minor third, octave-reduced 27th subharmonic
| Eratosthenes' minor third
|-
|-
|[[19/16]]
| [[32/27]]
|297.513016
| 294.134997
|19o3, ino 3rd
| w3, wa 3rd
|m3<sup>19</sup>
| m3
|otonal minor third, octave-reduced 19th harmonic
| Pythagorean minor third, octave-reduced 27th subharmonic
|-
|-
|[[25/21]]
| [[19/16]]
|301.846520
| 297.513016
|ryy2, ruyoyo 2nd
| 19o3, ino 3rd
|A2<sup>25</sup><sub>7</sub>
| m3<sup>19</sup>
|quasi-tempered minor third
| otonal minor third, octave-reduced 19th harmonic
|-
|-
|[[61/51]]
| [[289/243]]
|309.974395
| 300.135815
|61o17u2, siwosu 2nd
| 17oo4, soso 4th
|A2<sup>61</sup><sub>17</sub>
| dd4<sup>17, 17</sup>
|myna third
| semitonismic quasi-tempered minor third
|-
|-
|[[6/5]]
| [[25/21]]
|315.641287
| 301.846520
|g3, gu 3rd
| ryy2, ruyoyo 2nd
|m3<sub>5</sub>
| A2<sup>25</sup><sub>7</sub>
|classic minor third, just minor third
| quasi-tempered minor third
|-
|-
|[[77/64]]
| [[61/51]]
|320.143849
| 309.974395
|1oz3, lozo 3rd
| 61o17u2, siwosu 2nd
|m3<sup>77</sup>
| A2<sup>61</sup><sub>17</sub>
|keenanismic minor third, octave-reduced 77th harmonic
| myna third
|-
|-
|[[135/112]]
| [[6/5]]
|323.352810
| 315.641287
|ry2, ruyo 2nd
| g3, gu 3rd
|A2<sup>5</sup><sub>7</sub>
| 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}})
| large septimal minor third, marvelous minor third ({{Monzo|-4, 3, 1, -1}})
|-
|-
|[[35/29]]
| [[35/29]]
|325.562426
| 325.562426
|29uzy3, twenuzoyo 3rd
| 29uzy3, twenuzoyo 3rd
|M3<sup>35</sup><sub>29</sub>
| M3<sup>35</sup><sub>29</sub>
| doublewide minor third
| doublewide minor third
|-
|-
|[[23/19]]
| [[23/19]]
|330.761331
| 330.761331
|23o19u3, twethonu 3rd
| 23o19u3, twethonu 3rd
|A2<sup>23</sup><sub>19</sub>
| A2<sup>23</sup><sub>19</sub>
|vicesimotertial supraminor third
| vicesimotertial supraminor third
|-
|-
|[[17/14]]
| [[17/14]]
|336.129503
| 336.129503
|17or3, soru 3rd
| 17or3, soru 3rd
|m3<sup>17</sup><sub>5</sub>
| m3<sup>17</sup><sub>5</sub>
|septendecimal supraminor third
| septendecimal supraminor third
|-
|-
|[[175/144]]
| [[175/144]]
|337.54333
| 337.54333
|zyy3, zoyoyo 3rd
| zyy3, zoyoyo 3rd
|M3<sup>5,5,7</sup>
| M3<sup>5,5,7</sup>
|keemic minor third
| keemic minor third
|-
|-
|[[73/60]]
| [[73/60]]
|339.520756
| 339.520756
|73og3, seventy-thogu 3rd
| 73og3, seventy-thogu 3rd
|m3<sup>73</sup><sub>5</sub>
| m3<sup>73</sup><sub>5</sub>
|amity supraminor third
| amity supraminor third
|-
|-
|[[28/23]]
| [[28/23]]
|340.551559
| 340.551559
|23uz3, twethuzo 3rd
| 23uz3, twethuzo 3rd
|d4<sup>7</sup><sub>23</sub>
| d4<sup>7</sup><sub>23</sub>
|vicesimotertial neutral third
| vicesimotertial neutral third
|-
|-
|[[39/32]]
| [[39/32]]
|342.482663
| 342.482663
|3o3, tho 3rd
| 3o3, tho 3rd
|m3<sup>13</sup>
| m3<sup>13</sup>
|lesser tridecimal neutral third, octave-reduced 39th harmonic
| lesser tridecimal neutral third, octave-reduced 39th harmonic
|-
|-
|[[128/105]]
| [[128/105]]
|342.905379
| 342.905379
|rg3, rugu 3rd
| rg3, rugu 3rd
|m3<sub>35</sub>
| m3<sub>35</sub>
|quasi-tempered 2/7-octave, 105th subharmonic
| quasi-tempered 2/7-octave, 105th subharmonic
|-
|-
|[[625/512]]
| [[625/512]]
|345.254855
| 345.254855
|Ly<sup>4</sup>2, laquadyo 2nd
| Ly<sup>4</sup>2, laquadyo 2nd
| AA2<sup>625</sup>
| AA2<sup>625</sup>
|5-limit neutral third ({{Monzo|-9, 0, 4}})
| 5-limit neutral third ({{Monzo|-9, 0, 4}})
|-
|-
|[[11/9]]
| [[11/9]]
| 347.407941
| 347.407941
|1o3, ilo 3rd
| 1o3, ilo 3rd
| m3<sup>11</sup>
| m3<sup>11</sup>
|undecimal neutral third
| undecimal neutral third
|-
|-
|[[60/49]]
| [[60/49]]
|350.616902
| 350.616902
|rry2, ruruyo 2nd
| rry2, ruruyo 2nd
|A2<sup>5</sup><sub>49</sub>
| A2<sup>5</sup><sub>49</sub>
|smaller septimal neutral third, (purple 3rd)
| smaller septimal neutral third, (purple 3rd)
|-
|-
|[[49/40]]
| [[49/40]]
|351.338099
| 351.338099
| zzg4, zozogu 4th
| zzg4, zozogu 4th
|d4<sup>49</sup><sub>5</sub>
| d4<sup>49</sup><sub>5</sub>
|larger septimal neutral third, (purple 3rd)
| larger septimal neutral third, (purple 3rd)
|-
|-
|[[27/22]]
| [[27/22]]
|354.547060
| 354.547060
|1u3, lu 3rd
| 1u3, lu 3rd
|M3<sub>11</sub>
| M3<sub>11</sub>
|rastmic neutral third
| rastmic neutral third
|-
|-
|[[16/13]]
| [[16/13]]
| 359.472338
| 359.472338
|3u3, thu 3rd
| 3u3, thu 3rd
|M3<sub>13</sub>
| M3<sub>13</sub>
|greater tridecimal neutral third, octave reduced 13subharmonic
| greater tridecimal neutral third, octave reduced 13subharmonic
|-
|-
|[[21/17]]
|[[21/17]]
Line 819: Line 831:
|swetismic supermajor third
|swetismic supermajor third
|-
|-
|[[9/7]]
| [[9/7]]
|435.084095
| 435.084095
|r3, ru 3rd
| r3, ru 3rd
| M3<sub>7</sub>
| M3<sub>7</sub>
|supermajor third, septimal major third
| supermajor third, septimal major third
|-
|-
|[[31/24]]
| [[31/24]]
|443.080572
| 443.080572
|31o3, thiwo 3rd
| 31o3, thiwo 3rd
|M3<sup>31</sup>
| M3<sup>31</sup>
| sensi supermajor third
| sensi supermajor third
|-
|-
|[[22/17]]
| [[22/17]]
|446.362533
| 446.362533
|17u1o3, sulo 3rd
| 17u1o3, sulo 3rd
|M3<sup>11</sup><sub>17</sub>
| M3<sup>11</sup><sub>17</sub>
|septendecimal supermajor third
| septendecimal supermajor third
|-
|-
|[[35/27]]
| [[35/27]]
|449.274618
| 449.274618
|zy4, zoyo 4th
| zy4, zoyo 4th
|P4<sup>35</sup>
| P4<sup>35</sup>
|septimal semidiminished fourth
| septimal semidiminished fourth
|-
|-
|[[83/64]]
| [[83/64]]
|450.047318
| 450.047318
|83o4
| 83o4
|P4<sup>83</sup>
| P4<sup>83</sup>
|octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
| octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
|-
|-
|[[13/10]]
| [[13/10]]
|454.213948
| 454.213948
|3og4, thogu 4th
| 3og4, thogu 4th
|d4<sup>13</sup><sub>5</sub>
| d4<sup>13</sup><sub>5</sub>
|tridecimal semisixth, Barbados third, tridecimal 9/4 tone
| tridecimal semisixth, Barbados third, tridecimal 9/4 tone
|-
|-
|[[30/23]]
| [[30/23]]
|459.994368
| 459.994368
|23uy3, twethuyo 3rd
| 23uy3, twethuyo 3rd
|P4<sup>5</sup><sub>23</sub>
| P4<sup>5</sup><sub>23</sub>
|vicesimotertial ultramajor third
| vicesimotertial ultramajor third
|-
|-
|[[64/49]]
| [[64/49]]
|462.348187
| 462.348187
|rr3, ruru 3rd
| rr3, ruru 3rd
|M3<sub>49</sub>
| M3<sub>49</sub>
| septatonic major third
| septatonic major third
|-
|-
|[[17/13]]
| [[17/13]]
|464.427748
| 464.427748
|17o3u4, sothu 4th
| 17o3u4, sothu 4th
|P4<sup>17</sup><sub>13</sub>
| P4<sup>17</sup><sub>13</sub>
|septendecimal sub-fourth
| 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
|-
| [[95/72]]
| 479.916728
| 19oy4, noyo 4th
| P4<sup>5,19</sup>
| undevicesimal quasi-tempered 2/5-octave, undevicesimal "[[5edo|5EDO]]"-esque fourth
|-
|-
|[[21/16]]
| [[128/97]]
|470.780907
| 480.104589
|z4, zo 4th
| 97u4
|P4<sup>7</sup>
| P4<sub>97</sub>
|sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
| nonacesimoseptimal subharmonic fourth
|-
|-
|[[25/19]]
| [[33/25]]
|475.114412
| 480.645516
|19uyy3, nuyoyo 3rd
| 1ogg4, logugu 4th
|A3<sup>5,5</sup><sub>19</sub>
| d4<sup>11</sup><sub>25</sub>
|undevicesimal augmented third, undevicesimal grave fourth
| ptolemismic fourth, "5EDO"-esque fourth
|-
|-
|[[128/97]]
| [[160/121]]
|480.104589
| 483.677829
|97u4
| 1uuy4, luluyo 4th
|P4<sub>97</sub>
| A4<sup>5</sup><sub>11,11</sub>
|nonacesimoseptimal subharmonic fourth
| narrow biyatismic fourth
|-
|-
|[[33/25]]
| [[85/64]]
|480.645516
| 491.269123
|1ogg4, logugu 4th
| 17oy4, soyo 4th
|d4<sup>11</sup><sub>25</sub>
| P4<sup>85</sup>
|ptolemismic fourth, "5EDO"-esque fourth
| archagall fourth, septendecimal harmonic fourth
|-
|-
|[[160/121]]
| [[117/88]]
|483.677829
| 493.119721
|1uuy4, luluyo 4th
| 3o1u4, tholu 4th
|A4<sup>5</sup><sub>11,11</sub>
| P4<sup>13</sup><sub>11</sub>
|narrow biyatismic fourth
| minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
|-
|-
|[[85/64]]
| [[4/3]]
|491.269123
| 498.044999
|17oy4, soyo 4th
| w4, wa 4th
|P4<sup>85</sup>
| P4
|archagall fourth, septendecimal harmonic fourth
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
|-
|-
|[[117/88]]
| [[171/128]]
|493.119721
| 501.423018
|3o1u4, tholu 4th
| 19o4, ino 4th
|P4<sup>13</sup><sub>11</sub>
| P4<sup>19</sup>
|minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
| undevicesimal harmonic fourth
|-
|-
|[[4/3]]
| [[75/56]]
|498.044999
| 505.756522
|w4, wa 4th
| ryy3, ruyoyo 3rd
|P4
| A3<sup>25</sup><sub>7</sub>
|just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| marvelous fourth
|-
|-
|[[75/56]]
| [[121/90]]
|505.756522
| 512.412169
|ryy3, ruyoyo 3rd
| 1oog4, lologu 4th
|A3<sup>25</sup><sub>7</sub>
| d4<sup>11,11</sup><sub>5</sub>
|marvelous fourth
| wide biyatismic fourth
|-
|-
|[[121/90]]
| [[35/26]]
|512.412169
| 514.611959
|1oog4, lologu 4th
| 3uzy4, thuzoyo 4th
|d4<sup>11,11</sup><sub>5</sub>
| A4<sup>5,7</sup><sub>13</sub>
|wide biyatismic fourth
| animist fourth
|-
|-
|[[35/26]]
| [[128/95]]
|514.611959
| 516.173270
|3uzy4, thuzoyo 4th
| 19ug4, nugu 4th
|A4<sup>5,7</sup><sub>13</sub>
| P4<sub>5,19</sub>
|animist fourth
| undevicesimal subharmonic fourth
|-
|-
|[[27/20]]
| [[27/20]]
|519.551289
| 519.551289
|g4, gu 4th
| g4, gu 4th
|P4<sub>5</sub>
| P4<sub>5</sub>
|acute fourth, wolf fourth
| acute fourth, wolf fourth
|-
|-
|[[875/648]]
| [[875/648]]
|519.94704
| 519.947045
|zy<sup>3</sup>4, zotriyo 4th
| zy<sup>3</sup>4, zotriyo 4th
|A4<sup>5,5,5,7</sup>
| A4<sup>5,5,5,7</sup>
|maviloid generator superfourth
| maviloid generator superfourth
|-
|-
|[[23/17]]
| [[23/17]]
|523.318938
| 523.318938
|23o17u4, twethosu 4th
| 23o17u4, twethosu 4th
|A3<sup>23</sup><sub>17</sub>
| A3<sup>23</sup><sub>17</sub>
|vicesimotertial acute fourth
| vicesimotertial acute fourth
|-
|-
|[[19/14]]
| [[19/14]]
|528.687110
| 528.687110
| 19or4, noru 4th
| 19or4, noru 4th
|P4<sup>19</sup><sub>7</sub>
| P4<sup>19</sup><sub>7</sub>
|hendrix fourth
| hendrix fourth
|-
|-
|[[34/25]]
| [[34/25]]
|532.327982
| 532.327982
|17ogg5, sogugu 5th
| 17ogg5, sogugu 5th
|dd5<sup>17</sup><sub>5,5</sub>
| dd5<sup>17</sup><sub>5,5</sub>
|vengeance superfourth
| vengeance superfourth
|-
|-
|[[49/36]]
| [[49/36]]
|533.741811
| 533.741811
|zz5, zozo 5th
| zz5, zozo 5th
|d5<sup>49</sup>
| d5<sup>49</sup>
|Arabic lute acute fourth
| Arabic lute acute fourth
|-
|-
|[[15/11]]
| [[15/11]]
|536.950772
| 536.950772
|1uy4, luyo 4th
| 1uy4, luyo 4th
|A4<sup>5</sup><sub>11</sub>
| A4<sup>5</sup><sub>11</sub>
| undecimal augmented fourth, subaugmented fourth
| sub-augmented fourth, undecimal augmented fourth
|-
|-
|[[26/19]]
| [[26/19]]
|543.014646
| 543.014646
|19u3o4, nutho 4th
| 19u3o4, nutho 4th
|P4<sup>13</sup><sub>19</sub>
| P4<sup>13</sup><sub>19</sub>
|undevicesimal superfourth
| undevicesimal super-fourth
|-
|-
|[[48/35]]
| [[48/35]]
|546.815381
| 546.815381
|rg4, rugu 4th
| rg4, rugu 4th
|P4<sub>35</sub>
| P4<sub>35</sub>
|septimal super-fourth
| septimal super-fourth
|-
|-
|[[11/8]]
| [[11/8]]
| 551.317942
| 551.317942
|1o4, ilo 4th
| 1o4, ilo 4th
|P4<sup>11</sup>
| P4<sup>11</sup>
|super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
| super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa
|-
|-
|[[18/13]]
| [[18/13]]
| 563.382340
| 563.382340
|3u4, thu 4th
| 3u4, thu 4th
|A4<sub>13</sub>
| A4<sub>13</sub>
|tridecimal augmented fourth
| tridecimal augmented fourth
|-
|-
|[[25/18]]
| [[25/18]]
|568.717426
| 568.717426
|yy4, yoyo 4th
| yy4, yoyo 4th
|A4<sup>25</sup>
| A4<sup>25</sup>
|classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
| classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
|-
|-
|[[32/23]]
| [[32/23]]
|571.725653
| 571.725653
|23u4, twethu 4th
| 23u4, twethu 4th
|d5<sub>23</sub>
| d5<sub>23</sub>
|vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
| vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
|-
|-
| [[88/63]]
| [[88/63]]
Line 1,024: Line 1,054:
|-
|-
| [[7/5]]
| [[7/5]]
|582.512193
| 582.512193
|zg5, zogu 5th
| zg5, zogu 5th
|d5<sup>7</sup><sub>5</sub>
| d5<sup>7</sup><sub>5</sub>
|augmented fourth, septimal tritone, Huygen's tritone
| 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}})
|-
| [[1024/729]]
| 588.269995
| sw5, sawa 5th
| d5
| Pytharogean diminished fifth
|-
|-
|[[108/77]]
| [[45/32]]
|585.721154
| 590.223716
|1ur4, luru 4th
| y4, yo 4th
|A4<sub>77</sub>
| A4<sup>5</sup>
|swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}})
| smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
|-
|-
|[[45/32]]
| [[128/91]]
|590.223716
| 590.646432
|y4, yo 4th
| 3ur4, thuru 4th
|A4<sup>5</sup>
| A4<sub>91</sub>
|smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
| smaller huntmic tritone, 91st subharmonic
|-
|-
|[[128/91]]
| [[38/27]]
|590.646432
| 591.648014
|3ur4, thuru 4th
| ino 5th, 19o5
|A4<sub>91</sub>
| d5<sup>19</sup>
|smaller huntmic tritone, 91st subharmonic
| smaller undevicesimal tritone
|-
|-
|[[38/27]]
| [[55/39]]
|591.648014
| 595.148994
|ino 5th, 19o5
| 3u1oy4, thuloyo 4th
|d5<sup>19</sup>
| A4<sup>55</sup><sub>13</sub>
|smaller undevicesimal tritone
| smaller gassormic tritone
|-
|-
|[[55/39]]
| [[24/17]]
|595.148994
| 596.999591
|3u1oy4, thuloyo 4th
| 17u4, su 4th
|A4<sup>55</sup><sub>13</sub>
| A4<sub>17</sub>
|smaller gassormic tritone
| smaller septendecimal tritone
|-
|-
|[[24/17]]
| [[181/128]]
|596.999591
| 599.815064
|17u4, su 4th
| 181o4
|A4<sub>17</sub>
| A4<sup>181</sup>
|smaller septendecimal tritone
| octave-reduced 181st harmonic, otonal quasi-tempered tritone
|-
|-
|[[99/70]]
| [[99/70]]
|600.088324
| 600.088324
|1org4, lorugu 4th
| 1org4, lorugu 4th
|P4<sup>11</sup><sub>35</sub>
| P4<sup>11</sup><sub>35</sub>
|homothetic quasi-tempered tritone
| homothetic quasi-tempered tritone
|-
|-
|[[17/12]]
| [[256/181]]
|603.000409
| 600.184936
|17o5, iso 5th
| 181u5
|d5<sup>17</sup>
| d5<sub>181</sub>
|larger septendecimal tritone
| octave-reduced 181st subharmonic, utonal quasi-tempered tritone
|-
|-
|[[78/55]]
| [[17/12]]
|604.851006
| 603.000409
|3o1ug5, tholugu 5th
| 17o5, iso 5th
|d5<sup>13</sup><sub>55</sub>
| d5<sup>17</sup>
|larger gassormic tritone
| larger septendecimal tritone
|-
|-
|[[27/19]]
| [[78/55]]
|608.351987
| 604.851006
|inu 4th, 19u4
| 3o1ug5, tholugu 5th
|A4<sub>19</sub>
| d5<sup>13</sup><sub>55</sub>
|larger undevicesimal tritone
| larger gassormic tritone
|-
|-
|[[91/64]]
| [[27/19]]
|609.353568
| 608.351987
|3oz5, thozo 5th
| inu 4th, 19u4
|d5<sup>91</sup>
| A4<sub>19</sub>
|larger huntmic tritone, octave-reduced 91st harmonic
| larger undevicesimal tritone
|-
|-
|[[64/45]]
| [[91/64]]
|609.776284
| 609.353568
|g5, gu 5th
| 3oz5, thozo 5th
|d5<sub>5</sub>
| d5<sup>91</sup>
|larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
| larger huntmic tritone, octave-reduced 91st harmonic
|-
|-
|[[10/7]]
| [[64/45]]
|617.487807
| 609.776284
|ry4, ruyo 4th
| g5, gu 5th
|A4<sup>5</sup><sub>7</sub>
| d5<sub>5</sub>
|diminished fifth, Euler's tritone, superaugmented fourth
| larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
|-
|-
|[[23/16]]
| [[729/512]]
|628.274347
| 611.730005
|23o5, twetho 5th
| Lw4, lawa 4th
|A4<sup>23</sup>
| A4
|vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
| Pythagorean tritone
|-
|-
|[[36/25]]
| [[10/7]]
|631.282574
| 617.487807
|gg5, gugu 5th
| ry4, ruyo 4th
|d5<sub>25</sub>
| A4<sup>5</sup><sub>7</sub>
|pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}})
| diminished fifth, Euler's tritone, superaugmented fourth
|-
|-
|[[13/9]]
| [[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
| 636.617660
|3o5, tho 5th
| 3o5, tho 5th
|d5<sup>13</sup>
| d5<sup>13</sup>
|tridecimal diminished fifth
| tridecimal diminished fifth
|-
|-
|[[16/11]]
| [[16/11]]
|648.682058
| 648.682058
|1u5, lu 5th
| 1u5, lu 5th
|P5<sub>11</sub>
| P5<sub>11</sub>
|sub-fifth, octave-reduced 11th subharmonic
| sub-fifth, paraminor fifth, octave-reduced 11th subharmonic
|-
|-
|[[35/24]]
| [[35/24]]
|653.184619
| 653.184619
|zy5, zoyo 5th
| zy5, zoyo 5th
|P5<sup>35</sup>
| P5<sup>35</sup>
|septimal sub-fifth
| septimal sub-fifth
|-
|-
|[[19/13]]
| [[19/13]]
|656.985354
| 656.985354
|19o3u5, nothu 5th
| 19o3u5, nothu 5th
|P5<sup>19</sup><sub>13</sub>
| P5<sup>19</sup><sub>13</sub>
|undevicesimal subfifth
| undevicesimal sub-fifth
|-
|-
|[[22/15]]
| [[22/15]]
|663.049228
| 663.049228
|1og5, logu 5th
| 1og5, logu 5th
|d5<sup>11</sup><sub>5</sub>
| d5<sup>11</sup><sub>5</sub>
| undecimal diminished fifth, semidiminished fifth
| undecimal diminished fifth, semidiminished fifth
|-
|-
|[[72/49]]
| [[72/49]]
|666.258889
| 666.258889
|rr4, ruru 4th
| rr4, ruru 4th
|A4<sub>49</sub>
| A4<sub>49</sub>
|septimal catafifth
| septimal catafifth
|-
|-
|[[25/17]]
| [[25/17]]
|667.672018
| 667.672018
|17uyy4, suyoyo 4th
| 17uyy4, suyoyo 4th
|AA4<sup>5,5</sup><sub>17</sub>
| AA4<sup>5,5</sup><sub>17</sub>
|vengeance subfifth
| vengeance subfifth
|-
|-
|[[81/55]]
| [[81/55]]
|670.188347
| 670.188347
|1ug5, lugu 5th
| 1ug5, lugu 5th
|P5<sub>55</sub>
| P5<sub>55</sub>
|undecimal catafifth
| undecimal catafifth
|-
|-
|[[28/19]]
| [[28/19]]
|671.312890
| 671.312890
| 19uz5, nuzo 5th
| 19uz5, nuzo 5th
|P5<sup>7</sup><sub>19</sub>
| P5<sup>7</sup><sub>19</sub>
|hendrix fifth
| 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
|-
|-
|[[34/23]]
| [[40/27]]
|676.681062
| 680.448711
|23u17o5, twethuso 5th
| y5, yo 5th
|d6<sup>17</sup><sub>23</sub>
| P5<sup>5</sup>
|vicesimotertial grave fifth
| grave fifth
|-
|-
|[[262144/177147]]
| [[95/64]]
|678.494990
| 683.826730
|sasawa 6th, ssw6
| 19oy5, noyo 5th
|d6
| P5<sup>5,19</sup>
|Pythagorean wolf fifth
| undevicesimal harmonic fifth
|-
|-
|[[40/27]]
| [[52/35]]
|680.448711
| 685.388041
|y5, yo 5th
| 3org5, thorugu 5th
|P5<sup>5</sup>
| d5<sup>13</sup><sub>35</sub>
|grave fifth
| animist fifth
|-
|-
|[[52/35]]
| [[180/121]]
|685.388041
| 687.587831
|3org5, thorugu 5th
| 1uuy5, luluyo 5th
|d5<sup>13</sup><sub>35</sub>
| A5<sup>5</sup><sub>11,11</sub>
|animist fifth
| narrow biyatismic fifth
|-
|-
|[[180/121]]
| [[112/75]]
|687.587831
| 694.243478
|1uuy5, luluyo 5th
| zgg6, zogugu 6th
|A5<sup>5</sup><sub>11,11</sub>
| d6<sup>7</sup><sub>25</sub>
|narrow biyatismic fifth
| marvelous fifth
|-
|-
|[[112/75]]
| [[121/81]]
|694.243478
| 694.815881
|zgg6, zogugu 6th
| 1oo5, lolo 5th
|d6<sup>7</sup><sub>25</sub>
| d5<sup>11,11</sup>
|marvelous fifth
| rastmic fifth, Alpharabian narrow fifth
|-
|-
|[[121/81]]
| [[323/216]]
|694.815881
| 696.603423
|1oo5, lolo 5th
| 19o17o6, noso 6th
|d5<sup>11,11</sup>
| d6<sup>17,19</sup>
|rastmic fifth, Alpharabian narrow fifth
| undevicesimal meantone fifth
|-
|-
|[[323/216]]
| [[256/171]]
|696.603423
| 698.576982
|19o17o6, noso 6th
| 19u5, inu 5th
|d6<sup>17,19</sup>
| P5<sub>19</sub>
|undevicesimal meantone fifth
| undevicesimal subharmonic fifth
|-
|-
|[[16384/10935]]
| [[16384/10935]]
|700.001280
| 700.001280
|sg6, sagu 6th
| sg6, sagu 6th
|d6<sub>5</sub>
| d6<sub>5</sub>
|Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
| Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
|-
|-
|[[3/2]]
| [[3/2]]
|701.955001
| 701.955001
|w5, wa 5th
| w5, wa 5th
|P5
| P5
|[[just perfect fifth]], octave-reduced 3rd harmonic, diapente
| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente
|-
|-
|[[182/121]]
| [[182/121]]
|706.717684
| 706.717684
|3o1uuz6, tholuluzo 6th
| 3o1uuz6, tholuluzo 6th
|m6<sup>7,13</sup><sub>11,11</sub>
| m6<sup>7,13</sup><sub>11,11</sub>
|tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
| tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
|-
|-
|[[176/117]]
| [[176/117]]
|706.880279
| 706.880279
|3u1o5, thulo 5th
| 3u1o5, thulo 5th
|P5<sup>11</sup><sub>13</sub>
| P5<sup>11</sup><sub>13</sub>
|minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
| minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
|-
|-
|[[128/85]]
| [[128/85]]
|708.730877
| 708.730877
|17ug5, sugu 5th
| 17ug5, sugu 5th
|P5<sub>85</sub>
| P5<sub>85</sub>
|archagall fifth, septendecimal subharmonic fifth
| archagall fifth, septendecimal subharmonic fifth
|-
|-
|[[121/80]]
| [[121/80]]
|716.322171
| 716.322171
|1oog5, lologu 5th
| 1oog5, lologu 5th
|d5<sup>121</sup><sub>5</sub>
| d5<sup>121</sup><sub>5</sub>
|wide biyatismic fifth
| wide biyatismic fifth
|-
|-
|[[50/33]]
| [[50/33]]
|719.354484
| 719.354484
|1uyy5, luyoyo 5th
| 1uyy5, luyoyo 5th
|A5<sup>25</sup><sub>11</sub>
| A5<sup>25</sup><sub>11</sub>
|ptolemismic fifth, "[[5edo|5EDO]]"-esque fifth
| ptolemismic fifth, "5EDO"-esque fifth
|-
|-
|[[97/64]]
| [[97/64]]
|719.895411
| 719.895411
|97o5
| 97o5
|P5<sup>97</sup>
| P5<sup>97</sup>
|nonacesimoseptimal harmonic fifth
| nonacesimoseptimal harmonic fifth
|-
|-
|[[38/25]]
| [[144/95]]
|724.885588
| 720.083272
|19ogg6, nogugu 6th
| 19ug5, nugu 5th
|d6<sup>19</sup><sub>5,5</sub>
| P5<sub>5,19</sub>
|undevicesimal diminished sixth, undevicesimal acute fifth
| undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth
|-
|-
|[[32/21]]
| [[38/25]]
|729.219093
| 724.885588
|r5, ru 5th
| 19ogg6, nogugu 6th
|P5<sub>7</sub>
| d6<sup>19</sup><sub>5,5</sub>
|super-fifth, wide fifth, octave-reduced 21st subharmonic
| undevicesimal diminished sixth, undevicesimal acute fifth
|-
|-
|[[26/17]]
| [[32/21]]
|735.572252
| 729.219093
|17u3o5, sutho 5th
| r5, ru 5th
|P5<sup>13</sup><sub>17</sub>
| P5<sub>7</sub>
|septendecimal super-fifth
| super-fifth, wide fifth, octave-reduced 21st subharmonic
|-
|-
|[[49/32]]
| [[26/17]]
|737.651813
| 735.572252
|zz6, zozo 6th
| 17u3o5, sutho 5th
|m6<sup>49</sup>
| P5<sup>13</sup><sub>17</sub>
|superduper fifth, octave-reduced 49th harmonic
| septendecimal super-fifth
|-
|-
|[[23/15]]
| [[49/32]]
|740.005633
| 737.651813
|23og6, twethogu 6th
| zz6, zozo 6th
|P5<sup>23</sup><sub>5</sub>
| m6<sup>49</sup>
|vicesimotertial ultraminor sixth
| superduper fifth, octave-reduced 49th harmonic
|-
|-
|[[20/13]]
| [[23/15]]
|745.786052
| 740.005633
|3uy5, thuyo 5th
| 23og6, twethogu 6th
|A5<sup>5</sup><sub>13</sub>
| P5<sup>23</sup><sub>5</sub>
|tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
| vicesimotertial ultraminor sixth
|-
|-
|[[128/83]]
| [[20/13]]
|749.952682
| 745.786052
|83u5
| 3uy5, thuyo 5th
|P5<sub>83</sub>
| A5<sup>5</sup><sub>13</sub>
|83rd subharmonic, octacesimotertial subharmonic semitenth
| tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
|-
|-
|[[17/11]]
| [[128/83]]
|753.637467
| 749.952682
|17o1u6, solu 6th
| 83u5
|m6<sup>17</sup><sub>11</sub>
| P5<sub>83</sub>
|septendecimal subminor sixth
| 83rd subharmonic, octacesimotertial subharmonic semitenth
|-
| [[17/11]]
| 753.637467
| 17o1u6, solu 6th
| m6<sup>17</sup><sub>11</sub>
| septendecimal subminor sixth
|-
|-
| [[14/9]]
| [[14/9]]
|764.915905
| 764.915905
|z6, zo 6th
| z6, zo 6th
|m6<sup>7</sup>
| m6<sup>7</sup>
|subminor sixth, septimal minor sixth
| subminor sixth, septimal minor sixth
|-
|-
|[[25/16]]
|[[25/16]]
Line 1,454: Line 1,526:
|d7<sup>7</sup><sub>25</sub>
|d7<sup>7</sup><sub>25</sub>
|quasi-tempered major sixth
|quasi-tempered major sixth
|-
|[[486/289]]
|899.864185
|17uu5, susu 5th
|AA5<sub>17, 17</sub>
|semitonismic quasi-tempered major sixth
|-
|-
|[[32/19]]
|[[32/19]]
Line 1,466: Line 1,544:
|M6
|M6
|Pythagorean major sixth, octave-reduced 27th harmonic
|Pythagorean major sixth, octave-reduced 27th harmonic
|-
| [[76/45]]
| 907.289301
| 19og7, nogu 7th
| d7<sup>19</sup><sub>5</sub>
| Eratosthenes' major sixth
|-
|-
|[[22/13]]
|[[22/13]]
Line 1,477: Line 1,561:
|17og7, sogu 7th
|17og7, sogu 7th
|d7<sup>17</sup><sub>5</sub>
|d7<sup>17</sup><sub>5</sub>
|septendecimal diminished seventh, septendecimal major sixth
|septendecimal diminished seventh, septendecimal major sixth, diatismic major sixth
|-
|-
|[[46/27]]
|[[46/27]]
Line 1,568: Line 1,652:
|m7
|m7
|Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|-
| [[57/32]]
| 999.468017
| 19o7, ino 7th
| m7<sup>19</sup>
| quasi-tempered minor seventh, octave-reduced 57th harmonic
|-
|-
|[[25/14]]
|[[25/14]]
Line 2,596: Line 2,686:
== See also ==
== See also ==
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[:Category:Lists of intervals]] - Other galleries of intervals with different inclusion criteria to this one


== Links ==
== Links ==