Gallery of just intervals: Difference between revisions
No edit summary |
mNo edit summary Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
||
(6 intermediate revisions by 3 users not shown) | |||
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, | | 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/ | | 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 | ||
|- | |- | ||
|[[ | | [[45/38]] | ||
| | | 292.710699 | ||
| | | 19uy2, nuyo 2nd | ||
| | | A2<sup>5</sup><sub>19</sub> | ||
| | | Eratosthenes' minor third | ||
|- | |- | ||
|[[ | | [[32/27]] | ||
| | | 294.134997 | ||
| | | w3, wa 3rd | ||
|m3 | | 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 | ||
|- | |- | ||
|[[ | | [[289/243]] | ||
| | | 300.135815 | ||
| | | 17oo4, soso 4th | ||
| | | dd4<sup>17, 17</sup> | ||
| | | semitonismic quasi-tempered minor third | ||
|- | |- | ||
|[[ | | [[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 | ||
|- | |- | ||
|[[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 | |||
|- | |- | ||
|[[ | | [[128/97]] | ||
| | | 480.104589 | ||
| | | 97u4 | ||
|P4< | | P4<sub>97</sub> | ||
| | | nonacesimoseptimal subharmonic fourth | ||
|- | |- | ||
|[[25 | | [[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 | ||
|- | |- | ||
|[[ | | [[85/64]] | ||
| | | 491.269123 | ||
| | | 17oy4, soyo 4th | ||
| | | P4<sup>85</sup> | ||
| | | archagall fourth, septendecimal harmonic 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 | | P4 | ||
| | | just perfect fourth, octave-reduced 3rd subharmonic, diatessaron | ||
|- | |- | ||
|[[ | | [[171/128]] | ||
| | | 501.423018 | ||
| | | 19o4, ino 4th | ||
|P4<sup> | | P4<sup>19</sup> | ||
| | | undevicesimal harmonic fourth | ||
|- | |- | ||
|[[ | | [[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 | ||
|- | |- | ||
|[[ | | [[128/95]] | ||
| | | 516.173270 | ||
| | | 19ug4, nugu 4th | ||
| | | P4<sub>5,19</sub> | ||
| | | 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. | | 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> | ||
| | | 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 | | 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 | | 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 | |||
|- | |- | ||
|[[ | | [[45/32]] | ||
| | | 590.223716 | ||
| | | y4, yo 4th | ||
|A4< | | A4<sup>5</sup> | ||
| | | smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}}) | ||
|- | |- | ||
|[[ | | [[128/91]] | ||
|590. | | 590.646432 | ||
| | | 3ur4, thuru 4th | ||
|A4< | | A4<sub>91</sub> | ||
|smaller | | smaller huntmic tritone, 91st subharmonic | ||
|- | |- | ||
|[[ | | [[38/27]] | ||
| | | 591.648014 | ||
| | | ino 5th, 19o5 | ||
| | | d5<sup>19</sup> | ||
|smaller | | smaller undevicesimal tritone | ||
|- | |- | ||
|[[ | | [[55/39]] | ||
| | | 595.148994 | ||
| | | 3u1oy4, thuloyo 4th | ||
| | | A4<sup>55</sup><sub>13</sub> | ||
|smaller | | smaller gassormic tritone | ||
|- | |- | ||
|[[ | | [[24/17]] | ||
| | | 596.999591 | ||
| | | 17u4, su 4th | ||
|A4 | | A4<sub>17</sub> | ||
|smaller | | smaller septendecimal tritone | ||
|- | |- | ||
|[[ | | [[181/128]] | ||
| | | 599.815064 | ||
| | | 181o4 | ||
|A4< | | A4<sup>181</sup> | ||
| | | 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 | ||
|- | |- | ||
|[[ | | [[256/181]] | ||
| | | 600.184936 | ||
| | | 181u5 | ||
|d5< | | d5<sub>181</sub> | ||
| | | octave-reduced 181st subharmonic, utonal quasi-tempered tritone | ||
|- | |- | ||
|[[ | | [[17/12]] | ||
| | | 603.000409 | ||
| | | 17o5, iso 5th | ||
|d5<sup> | | d5<sup>17</sup> | ||
|larger | | larger septendecimal tritone | ||
|- | |- | ||
|[[ | | [[78/55]] | ||
| | | 604.851006 | ||
| | | 3o1ug5, tholugu 5th | ||
| | | d5<sup>13</sup><sub>55</sub> | ||
|larger | | larger gassormic tritone | ||
|- | |- | ||
|[[ | | [[27/19]] | ||
| | | 608.351987 | ||
| | | inu 4th, 19u4 | ||
| | | A4<sub>19</sub> | ||
|larger | | larger undevicesimal tritone | ||
|- | |- | ||
|[[64 | | [[91/64]] | ||
|609. | | 609.353568 | ||
| | | 3oz5, thozo 5th | ||
|d5< | | d5<sup>91</sup> | ||
|larger | | 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}}) | ||
|- | |- | ||
|[[ | | [[729/512]] | ||
| | | 611.730005 | ||
| | | Lw4, lawa 4th | ||
|A4 | | A4 | ||
| | | Pythagorean tritone | ||
|- | |- | ||
|[[ | | [[10/7]] | ||
| | | 617.487807 | ||
| | | ry4, ruyo 4th | ||
| | | A4<sup>5</sup><sub>7</sub> | ||
| | | 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 | | 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 | |||
|- | |- | ||
|[[ | | [[40/27]] | ||
| | | 680.448711 | ||
| | | y5, yo 5th | ||
| | | P5<sup>5</sup> | ||
| | | grave fifth | ||
|- | |- | ||
|[[ | | [[95/64]] | ||
| | | 683.826730 | ||
| | | 19oy5, noyo 5th | ||
| | | P5<sup>5,19</sup> | ||
| | | undevicesimal harmonic 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. | | 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 | ||
|- | |- | ||
|[[ | | [[256/171]] | ||
| | | 698.576982 | ||
| | | 19u5, inu 5th | ||
| | | P5<sub>19</sub> | ||
|undevicesimal | | 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, " | | 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 | ||
|- | |- | ||
|[[ | | [[144/95]] | ||
| | | 720.083272 | ||
| | | 19ug5, nugu 5th | ||
| | | P5<sub>5,19</sub> | ||
|undevicesimal | | undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque 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 | | 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 | ||
|- | |- | ||
|[[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 == |