Gallery of just intervals: Difference between revisions
m →Gallery of Just Intervals: Update consistency and fix error |
→Gallery of Just Intervals: Complete FJS names |
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| Line 130: | Line 130: | ||
| 43.408335 | | 43.408335 | ||
| Lzyy1, lazoyoyo comma | | Lzyy1, lazoyoyo comma | ||
| A1<sup> | | A1<sup>175</sup> | ||
| Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}}) | | Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}}) | ||
|- | |- | ||
| Line 364: | Line 364: | ||
| 186.333871 | | 186.333871 | ||
| 1uzz3, luzozo 3rd | | 1uzz3, luzozo 3rd | ||
| | |m3<sup>49</sup><sub>11</sub> | ||
| werckismic minor second | | werckismic minor second | ||
|- | |- | ||
| Line 376: | Line 376: | ||
| 192.557607 | | 192.557607 | ||
| 19o17u2, nosu 2nd | | 19o17u2, nosu 2nd | ||
| | |M2<sup>19</sup><sub>17</sub> | ||
| quasi-meantone | |quasi-meantone | ||
|- | |- | ||
| [[28/25]] | |[[28/25]] | ||
| 196.198479 | |196.198479 | ||
| zgg3, zogugu 3rd | | zgg3, zogugu 3rd | ||
| | |d3<sup>7</sup><sub>25</sub> | ||
| middle major second | |middle major second | ||
|- | |- | ||
| [[55/49]] | |[[55/49]] | ||
| 199.979843 | |199.979843 | ||
| 1orry1, loruruyo unison | | 1orry1, loruruyo unison | ||
| | |A1<sup>55</sup><sub>49</sub> | ||
| werckismic tone | |werckismic tone | ||
|- | |- | ||
| [[64/57]] | |[[64/57]] | ||
| 200.531983 | |200.531983 | ||
| 19u2, inu 2nd | |19u2, inu 2nd | ||
| | |M2<sub>19</sub> | ||
| quasi-tempered whole tone, octave-reduced 57th subharmonic | |quasi-tempered whole tone, octave-reduced 57th subharmonic | ||
|- | |- | ||
| [[9/8]] | |[[9/8]] | ||
| 203.910002 | |203.910002 | ||
| w2, wa 2nd | |w2, wa 2nd | ||
| M2 | |M2 | ||
| Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic | |Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic | ||
|- | |- | ||
| [[17/15]] | |[[17/15]] | ||
| 216.686695 | |216.686695 | ||
| 17og3, sogu 3rd | |17og3, sogu 3rd | ||
| | |d3<sup>17</sup><sub>5</sub> | ||
| septendecimal whole tone, septendecimal eventone | |septendecimal whole tone, septendecimal eventone | ||
|- | |- | ||
| [[8/7]] | |[[8/7]] | ||
| 231.174094 | |231.174094 | ||
| r2, ru 2nd | |r2, ru 2nd | ||
| M2<sub>7</sub> | | M2<sub>7</sub> | ||
| supermajor second, septimal whole tone, octave-reduced 7th subharmonic | | supermajor second, septimal whole tone, octave-reduced 7th subharmonic | ||
|- | |- | ||
| [[63/55]] | |[[63/55]] | ||
| 235.104252 | |235.104252 | ||
| 1uzg3, luzogu 3rd | |1uzg3, luzogu 3rd | ||
| | |m3<sup>7</sup><sub>55</sub> | ||
| werckismic supermajor second | |werckismic supermajor second | ||
|- | |- | ||
| [[55/48]] | |[[55/48]] | ||
| 235.676655 | |235.676655 | ||
| 1oy2, loyo 2nd | |1oy2, loyo 2nd | ||
| | |M2<sup>55</sup> | ||
| keenanismic supermajor second | |keenanismic supermajor second | ||
|- | |- | ||
| [[15/13]] | |[[15/13]] | ||
| 247.741053 | |247.741053 | ||
| 3uy2, thuyo 2nd | |3uy2, thuyo 2nd | ||
| A2<sup>5</sup><sub>13</sub> | |A2<sup>5</sup><sub>13</sub> | ||
| tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third | |tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third | ||
|- | |- | ||
| 97/84 | | 97/84 | ||
| 249.114503 | |249.114503 | ||
| 97or2, ninety-soru 2nd | |97or2, ninety-soru 2nd | ||
| M2<sup>97</sup><sub>7</sub> | |M2<sup>97</sup><sub>7</sub> | ||
| homothetic semifourth | |homothetic semifourth | ||
|- | |- | ||
| [[81/70]] | |[[81/70]] | ||
| 252.268038 | |252.268038 | ||
| rg2, rugu 2nd | |rg2, rugu 2nd | ||
| M2<sub>35</sub> | |M2<sub>35</sub> | ||
| 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> | ||
| 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> | ||
| 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 | ||
|- | |- | ||
| [[20/17]] | |[[20/17]] | ||
| 281.358304 | |281.358304 | ||
| 17uy2, suyo 2nd | |17uy2, suyo 2nd | ||
| | |A2<sup>5</sup><sub>17</sub> | ||
| septendecimal augmented second, septendecimal minor third | |septendecimal augmented second, septendecimal minor third | ||
|- | |- | ||
| [[13/11]] | |[[13/11]] | ||
| 289.209179 | |289.209179 | ||
| 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]] | |[[32/27]] | ||
| 294.134997 | |294.134997 | ||
| w3, wa 3rd | |w3, wa 3rd | ||
| m3 | |m3 | ||
| Pythagorean minor third, octave-reduced 27th subharmonic | |Pythagorean minor third, octave-reduced 27th subharmonic | ||
|- | |- | ||
| [[19/16]] | |[[19/16]] | ||
| 297.513016 | |297.513016 | ||
| 19o3, ino 3rd | |19o3, ino 3rd | ||
| m3<sup>19</sup> | |m3<sup>19</sup> | ||
| otonal minor third, octave-reduced 19th harmonic | |otonal minor third, octave-reduced 19th harmonic | ||
|- | |- | ||
| [[25/21]] | |[[25/21]] | ||
| 301.846520 | |301.846520 | ||
| ryy2, ruyoyo 2nd | |ryy2, ruyoyo 2nd | ||
| A2<sup>25</sup><sub>7</sub> | |A2<sup>25</sup><sub>7</sub> | ||
| quasi-tempered minor third | |quasi-tempered minor third | ||
|- | |- | ||
| [[61/51]] | |[[61/51]] | ||
| 309.974395 | |309.974395 | ||
| 61o17u2, siwosu 2nd | |61o17u2, siwosu 2nd | ||
| | |A2<sup>61</sup><sub>17</sub> | ||
| myna third | |myna third | ||
|- | |- | ||
| [[6/5]] | |[[6/5]] | ||
| 315.641287 | |315.641287 | ||
| g3, gu 3rd | |g3, gu 3rd | ||
| m3<sub>5</sub> | |m3<sub>5</sub> | ||
| classic minor third, just minor third | |classic minor third, just minor third | ||
|- | |- | ||
| [[77/64]] | |[[77/64]] | ||
| 320.143849 | |320.143849 | ||
| 1oz3, lozo 3rd | |1oz3, lozo 3rd | ||
| | |m3<sup>77</sup> | ||
| keenanismic minor third, octave-reduced 77th harmonic | |keenanismic minor third, octave-reduced 77th harmonic | ||
|- | |- | ||
| [[135/112]] | |[[135/112]] | ||
| 323.352810 | |323.352810 | ||
| ry2, ruyo 2nd | |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> | ||
| 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> | ||
| 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> | ||
| septendecimal supraminor third | |septendecimal supraminor third | ||
|- | |- | ||
| [[73/60]] | |[[73/60]] | ||
| 339.520756 | |339.520756 | ||
| 73og3, seventy-thogu 3rd | |73og3, seventy-thogu 3rd | ||
| | |m3<sup>73</sup><sub>5</sub> | ||
| amity supraminor third | | amity supraminor 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 | ||
|- | |- | ||
| [[625/512]] | |[[625/512]] | ||
| 345.254855 | |345.254855 | ||
| Ly<sup>4</sup>2, large quadyo 2nd | |Ly<sup>4</sup>2, large quadyo 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> | ||
| 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> | ||
| 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]] | ||
| 365.825498 | |365.825498 | ||
| 17uz3, suzo 3rd | |17uz3, suzo 3rd | ||
| | |M3<sup>7</sup><sub>17</sub> | ||
| septendecimal submajor third | |septendecimal submajor third | ||
|- | |- | ||
| 51/41 | |51/41 | ||
| 377.848005 | |377.848005 | ||
| 41u17o4, fowuso 4th | |41u17o4, fowuso 4th | ||
| | |d4<sup>17</sup><sub>41</sub> | ||
| maja third | | maja third | ||
|- | |- | ||
| [[56/45]] | |[[56/45]] | ||
| 378.602191 | |378.602191 | ||
| zg4, zogu 4th | |zg4, zogu 4th | ||
| | |d4<sup>7</sup><sub>5</sub> | ||
| narrow perde segah, marvelous major third | |narrow perde segah, marvelous major third | ||
|- | |- | ||
| [[71/57]] | |[[71/57]] | ||
| 380.228526 | |380.228526 | ||
| 71o19u3, seventy-wonu 3rd | |71o19u3, seventy-wonu 3rd | ||
| | |M3<sup>71</sup><sub>19</sub> | ||
| witchcraft major third | | witchcraft major third | ||
|- | |- | ||
| [[76/61]] | |[[76/61]] | ||
| 380.628211 | |380.628211 | ||
| 61u19o4, siwuno 4th | |61u19o4, siwuno 4th | ||
| | |d4<sup>19</sup><sub>61</sub> | ||
| magic major third | |magic major third | ||
|- | |- | ||
| [[96/77]] | |[[96/77]] | ||
| 381.811152 | |381.811152 | ||
| 1ur3, luru 3rd | |1ur3, luru 3rd | ||
| | |M3<sub>77</sub> | ||
| undecimal perde segah, keenanismic major third | |undecimal perde segah, keenanismic major third | ||
|- | |- | ||
| [[5/4]] | |[[5/4]] | ||
| 386.313714 | |386.313714 | ||
| y3, yo 3rd | |y3, yo 3rd | ||
| M3<sup>5</sup> | |M3<sup>5</sup> | ||
| classic major third, just major third, octave-reduced 5th harmonic | |classic major third, just major third, octave-reduced 5th harmonic | ||
|- | |- | ||
| [[161/128]] | |[[161/128]] | ||
| 397.100254 | |397.100254 | ||
| 23oz4, twethozo 4th | |23oz4, twethozo 4th | ||
| M3<sup>161</sup> | |M3<sup>161</sup> | ||
| just/Pythagorean major third meantone, octave-reduced 161th harmonic | |just/Pythagorean major third meantone, octave-reduced 161th harmonic | ||
|- | |- | ||
| [[63/50]] | |[[63/50]] | ||
| 400.108480 | |400.108480 | ||
| zgg4, zogugu 4th | |zgg4, zogugu 4th | ||
| d4<sup>7</sup><sub>25</sub> | |d4<sup>7</sup><sub>25</sub> | ||
| quasi-tempered major third | |quasi-tempered major third | ||
|- | |- | ||
| [[81/64]] | |[[81/64]] | ||
| 407.820003 | |407.820003 | ||
| Lw3, large wa 3rd | |Lw3, large wa 3rd | ||
| M3 | |M3 | ||
| Pythagorean major third, octave-reduced 81st harmonic | |Pythagorean major third, octave-reduced 81st harmonic | ||
|- | |- | ||
| [[33/26]] | |[[33/26]] | ||
| 412.745281 | |412.745281 | ||
| 3u1o3, thulo 3rd | |3u1o3, thulo 3rd | ||
| M3<sup>11</sup><sub>13</sub> | |M3<sup>11</sup><sub>13</sub> | ||
| tridecimal major third | | tridecimal major third | ||
|- | |- | ||
| [[80/63]] | |[[80/63]] | ||
| 413.577806 | |413.577806 | ||
| ry3, ruyo 3rd | |ry3, ruyo 3rd | ||
| | |M3<sup>5</sup><sub>7</sub> | ||
| werckismic sharp major third | |werckismic sharp major third | ||
|- | |- | ||
| [[14/11]] | |[[14/11]] | ||
| 417.507964 | |417.507964 | ||
| 1uz4, luzo 4th | |1uz4, luzo 4th | ||
| P4<sup>7</sup><sub>11</sub> | |P4<sup>7</sup><sub>11</sub> | ||
| undecimal major third, undecimal diminished fourth | |undecimal major third, undecimal diminished fourth | ||
|- | |- | ||
| [[23/18]] | |[[23/18]] | ||
| 424.364346 | |424.364346 | ||
| 23o4, twetho 4th | |23o4, twetho 4th | ||
| | |M3<sup>23</sup> | ||
| vicesimotertial diminished fourth | |vicesimotertial diminished fourth | ||
|- | |- | ||
| [[32/25]] | |[[32/25]] | ||
| 427.372572 | |427.372572 | ||
| gg4, gugu 4th | |gg4, gugu 4th | ||
| | |d4<sub>25</sub> | ||
| classic diminished fourth | |classic diminished fourth | ||
|- | |- | ||
| [[77/60]] | |[[77/60]] | ||
| 431.875134 | |431.875134 | ||
| 1ozg4, lozogu 4th | |1ozg4, lozogu 4th | ||
| | |d4<sup>77</sup><sub>5</sub> | ||
| 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> | ||
| 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> | ||
| septendecimal supermajor third | |septendecimal supermajor third | ||
|- | |- | ||
| [[35/27]] | |[[35/27]] | ||
| 449.274618 | |449.274618 | ||
| zy4, zoyo 4th | |zy4, zoyo 4th | ||
| | |P4<sup>35</sup> | ||
| septimal semidiminished fourth | |septimal semidiminished fourth | ||
|- | |- | ||
| [[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 | ||
|- | |- | ||
| [[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> | ||
| septendecimal sub-fourth | |septendecimal sub-fourth | ||
|- | |- | ||
| [[21/16]] | |[[21/16]] | ||
| 470.780907 | |470.780907 | ||
| z4, zo 4th | |z4, zo 4th | ||
| P4<sup>7</sup> | |P4<sup>7</sup> | ||
| sub-fourth, narrow fourth, 8ve-reduced 21st harmonic | |sub-fourth, narrow fourth, 8ve-reduced 21st harmonic | ||
|- | |- | ||
| [[33/25]] | |[[33/25]] | ||
| 480.645516 | |480.645516 | ||
| 1ogg4, logugu 4th | |1ogg4, logugu 4th | ||
| d4<sup>11</sup><sub>25</sub> | |d4<sup>11</sup><sub>25</sub> | ||
| "5-EDO"-esque fourth | |"5-EDO"-esque fourth | ||
|- | |- | ||
| [[117/88]] | |[[117/88]] | ||
| 493.119721 | |493.119721 | ||
| 3o1u4, tholu 4th | |3o1u4, tholu 4th | ||
| | |P4<sup>13</sup><sub>11</sub> | ||
| minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}}) | |minthmic fourth ({{Monzo|-3, 2, 0, 0, -1, 1}}) | ||
|- | |- | ||
| [[4/3]] | |[[4/3]] | ||
| 498.044999 | |498.044999 | ||
| w4, wa 4th | |w4, wa 4th | ||
| P4 | |P4 | ||
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron | |just perfect fourth, octave-reduced 3rd subharmonic, diatessaron | ||
|- | |- | ||
| [[75/56]] | |[[75/56]] | ||
| 505.756522 | |505.756522 | ||
| ryy3, ruyoyo 3rd | |ryy3, ruyoyo 3rd | ||
| | |A3<sup>25</sup><sub>7</sub> | ||
| marvelous fourth | |marvelous fourth | ||
|- | |- | ||
| [[980/729]] | |[[980/729]] | ||
| 512.235522 | |512.235522 | ||
| zzy5, zozoyo 5th | |zzy5, zozoyo 5th | ||
| d5<sup>245</sup> | |d5<sup>245</sup> | ||
| sensamagic fourth, septimal sesquidiminished grave fifth | | sensamagic fourth, septimal sesquidiminished grave fifth | ||
|- | |- | ||
| [[27/20]] | |[[27/20]] | ||
| 519.551289 | |519.551289 | ||
| g4, gu 4th | |g4, gu 4th | ||
| P4<sub>5</sub> | |P4<sub>5</sub> | ||
| acute fourth | |acute fourth | ||
|- | |- | ||
| [[19/14]] | |[[19/14]] | ||
| 528.687110 | |528.687110 | ||
| 19or4, noru 4th | | 19or4, noru 4th | ||
| | |P4<sup>19</sup><sub>7</sub> | ||
| hendrix fourth | |hendrix fourth | ||
|- | |- | ||
| [[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 | | undecimal augmented fourth, subaugmented fourth | ||
|- | |- | ||
| [[48/35]] | |[[48/35]] | ||
| 546.815381 | |546.815381 | ||
| rg4, rugu 4th | |rg4, rugu 4th | ||
| | |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, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa | ||
|- | |- | ||
| [[18/13]] | |[[18/13]] | ||
| 563.382340 | | 563.382340 | ||
| 3u4, thu 4th | |3u4, thu 4th | ||
| A4< | |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}}) | ||
|- | |- | ||
| [[88/63]] | |[[88/63]] | ||
| 578.582034 | |578.582034 | ||
| 1or4, loru 4th | |1or4, loru 4th | ||
| | |P4<sup>11</sup><sub>7</sub> | ||
| werckismic augmented fourth | |werckismic augmented fourth | ||
|- | |- | ||
| [[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 | ||
|- | |- | ||
| [[45/32]] | |[[45/32]] | ||
| 590.223716 | |590.223716 | ||
| y4, yo 4th | |y4, yo 4th | ||
| A4<sup>5</sup> | |A4<sup>5</sup> | ||
| smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}}) | |smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}}) | ||
|- | |- | ||
| [[108/77]] | |[[108/77]] | ||
| 585.721154 | |585.721154 | ||
| 1ur4, luru 4th | |1ur4, luru 4th | ||
| | |A4<sub>77</sub> | ||
| swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}}) | |swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}}) | ||
|- | |- | ||
| [[24/17]] | |[[24/17]] | ||
| 596.999591 | | 596.999591 | ||
| 17u4, su 4th | |17u4, su 4th | ||
| A4<sub>17</sub> | |A4<sub>17</sub> | ||
| smaller septendecimal tritone | |smaller septendecimal 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]] | |[[17/12]] | ||
| 603.000409 | |603.000409 | ||
| 17o5, iso 5th | |17o5, iso 5th | ||
| d5<sup>17</sup> | |d5<sup>17</sup> | ||
| larger septendecimal tritone | |larger septendecimal tritone | ||
|- | |- | ||
| [[64/45]] | |[[64/45]] | ||
| 609.776284 | |609.776284 | ||
| g5, gu 5th | |g5, gu 5th | ||
| d5<sub>5</sub> | |d5<sub>5</sub> | ||
| larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}}) | |larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}}) | ||
|- | |- | ||
| [[10/7]] | |[[10/7]] | ||
| 617.487807 | |617.487807 | ||
| ry4, ruyo 4th | |ry4, ruyo 4th | ||
| A4<sup>5</sup><sub>7</sub> | |A4<sup>5</sup><sub>7</sub> | ||
| diminished fifth, Euler's tritone, superaugmented fourth | |diminished fifth, Euler's tritone, superaugmented fourth | ||
|- | |- | ||
| [[23/16]] | |[[23/16]] | ||
| 628.274347 | |628.274347 | ||
| 23o5, twetho 5th | |23o5, twetho 5th | ||
| A4<sup>23</sup> | |A4<sup>23</sup> | ||
| vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic | |vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic | ||
|- | |- | ||
| [[36/25]] | |[[36/25]] | ||
| 631.282574 | |631.282574 | ||
| gg5, gugu 5th | |gg5, gugu 5th | ||
| d5<sub>25</sub> | |d5<sub>25</sub> | ||
| pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}}) | |pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}}) | ||
|- | |- | ||
| [[13/9]] | |[[13/9]] | ||
| 636.617660 | | 636.617660 | ||
| 3o5, tho 5th | |3o5, tho 5th | ||
| d5< | |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, octave-reduced 11th subharmonic | ||
|- | |- | ||
| [[35/24]] | |[[35/24]] | ||
| 653.184619 | |653.184619 | ||
| zy5, zoyo 5th | |zy5, zoyo 5th | ||
| | |P5<sup>35</sup> | ||
| septimal sub-fifth | |septimal 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> | ||
| septimal catafifth | |septimal catafifth | ||
|- | |- | ||
| [[81/55]] | |[[81/55]] | ||
| 670.188347 | |670.188347 | ||
| 1ug5, lugu 5th | |1ug5, lugu 5th | ||
| | |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> | ||
| hendrix fifth | |hendrix fifth | ||
|- | |- | ||
| [[40/27]] | |[[40/27]] | ||
| 680.448711 | |680.448711 | ||
| y5, yo 5th | |y5, yo 5th | ||
| P5<sup>5</sup> | |P5<sup>5</sup> | ||
| grave fifth | |grave fifth | ||
|- | |- | ||
| [[729/490]] | |[[729/490]] | ||
| 687.764478 | |687.764478 | ||
| rrg5, rurugu 4th | |rrg5, rurugu 4th | ||
| A4<sub>245</sub> | |A4<sub>245</sub> | ||
| sensamagic fifth, septimal sesquiaugmented acute fourth | |sensamagic fifth, septimal sesquiaugmented acute fourth | ||
|- | |- | ||
| [[112/75]] | |[[112/75]] | ||
| 694.243478 | |694.243478 | ||
| zgg6, zogugu 6th | |zgg6, zogugu 6th | ||
| | |d6<sup>7</sup><sub>25</sub> | ||
| marvelous fifth | |marvelous 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>91</sup><sub>121</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> | ||
| minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}}) | |minthmic fifth ({{Monzo|4, -2, 0, 0, 1, -1}}) | ||
|- | |- | ||
| [[50/33]] | |[[50/33]] | ||
| 719.354484 | |719.354484 | ||
| 1uyy5, luyoyo 5th | |1uyy5, luyoyo 5th | ||
| | |A5<sup>25</sup><sub>11</sub> | ||
| "[[5edo|5-EDO]]"-esque fifth | |"[[5edo|5-EDO]]"-esque fifth | ||
|- | |- | ||
| [[32/21]] | |[[32/21]] | ||
| 729.219093 | |729.219093 | ||
| r5, ru 5th | |r5, ru 5th | ||
| P5<sub>7</sub> | |P5<sub>7</sub> | ||
| super-fifth, wide fifth, octave-reduced 21st subharmonic | |super-fifth, wide fifth, octave-reduced 21st subharmonic | ||
|- | |- | ||
| [[26/17]] | |[[26/17]] | ||
| 735.572252 | |735.572252 | ||
| 17u3o5, sutho 5th | |17u3o5, sutho 5th | ||
| | |P5<sup>13</sup><sub>17</sub> | ||
| septendecimal super-fifth | |septendecimal super-fifth | ||
|- | |- | ||
| [[49/32]] | |[[49/32]] | ||
| 737.651813 | |737.651813 | ||
| zz6, zozo 6th | |zz6, zozo 6th | ||
| m6<sup>49</sup> | |m6<sup>49</sup> | ||
| superduper fifth, octave-reduced 49th harmonic | |superduper fifth, octave-reduced 49th harmonic | ||
|- | |- | ||
| [[20/13]] | |[[20/13]] | ||
| 745.786052 | |745.786052 | ||
| 3uy5, thuyo 5th | |3uy5, thuyo 5th | ||
| A5<sup>5</sup><sub>13</sub> | |A5<sup>5</sup><sub>13</sub> | ||
| tridecimal semitenth, Barbados sixth, ratwolf wolf fifth | |tridecimal semitenth, Barbados sixth, ratwolf wolf fifth | ||
|- | |- | ||
| [[17/11]] | |[[17/11]] | ||
| 753.637467 | |753.637467 | ||
| 17o1u6, solu 6th | |17o1u6, solu 6th | ||
| | |m6<sup>17</sup><sub>11</sub> | ||
| septendecimal subminor sixth | |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]] | ||
| 772.627428 | |772.627428 | ||
| yy5, yoyo 5th | |yy5, yoyo 5th | ||
| | |A5<sup>25</sup> | ||
| pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic | |pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic | ||
|- | |- | ||
| [[36/23]] | |[[36/23]] | ||
| 775.635654 | |775.635654 | ||
| 23u5, twethu 5th | |23u5, twethu 5th | ||
| | |m6<sub>23</sub> | ||
| vicesimotertial augmented fifth | |vicesimotertial augmented fifth | ||
|- | |- | ||
| [[11/7]] | |[[11/7]] | ||
| 782.492036 | |782.492036 | ||
| 1or5, loru 5th | |1or5, loru 5th | ||
| P5<sup>11</sup><sub>7</sub> | |P5<sup>11</sup><sub>7</sub> | ||
| undecimal subminor sixth, undecimal augmented fifth | |undecimal subminor sixth, undecimal augmented fifth | ||
|- | |- | ||
| [[63/40]] | |[[63/40]] | ||
| 786.422194 | |786.422194 | ||
| zg6, zogu 6th | |zg6, zogu 6th | ||
| m6<sup>7</sup><sub>5</sub> | |m6<sup>7</sup><sub>5</sub> | ||
| | | | ||
|- | |- | ||
| [[52/33]] | |[[52/33]] | ||
| 787.254719 | |787.254719 | ||
| 3o1u6, tholu 6th | |3o1u6, tholu 6th | ||
| m6<sup>13</sup><sub>11</sub> | |m6<sup>13</sup><sub>11</sub> | ||
| tridecimal minor sixth | | tridecimal minor sixth | ||
|- | |- | ||
| [[128/81]] | |[[128/81]] | ||
| 792.179997 | |792.179997 | ||
| sw6, small wa 6th | |sw6, small wa 6th | ||
| m6 | |m6 | ||
| Pythagorean minor sixth, octave-reduced 81st subharmonic | |Pythagorean minor sixth, octave-reduced 81st subharmonic | ||
|- | |- | ||
| [[8/5]] | |[[8/5]] | ||
| 813.686286 | |813.686286 | ||
| g6, gu 6th | |g6, gu 6th | ||
| m6<sub>5</sub> | |m6<sub>5</sub> | ||
| classic minor sixth, just minor sixth, octave-reduced 5th subharmonic | |classic minor sixth, just minor sixth, octave-reduced 5th subharmonic | ||
|- | |- | ||
| 413/256 | |413/256 | ||
| 827.997565 | |827.997565 | ||
| 59oz6, finozo 6th | |59oz6, finozo 6th | ||
| | |M6<sup>413</sup> | ||
| octave-reduced 413th harmonic, homestuck sixth (2<sup>-8</sup> * 7 * 59) | |octave-reduced 413th harmonic, homestuck sixth (2<sup>-8</sup> * 7 * 59) | ||
|- | |- | ||
| [[13/8]] | |[[13/8]] | ||
| 840.527662 | | 840.527662 | ||
| 3o6, tho 6th | |3o6, tho 6th | ||
| m6<sup>13</sup> | |m6<sup>13</sup> | ||
| lesser tridecimal neutral sixth, octave-reduced 13th harmonic | |lesser tridecimal neutral sixth, octave-reduced 13th harmonic | ||
|- | |- | ||
| [[80/49]] | |[[80/49]] | ||
| 848.661901 | |848.661901 | ||
| rry5, ruruyo aug 5th | |rry5, ruruyo aug 5th | ||
| | |A5<sup>5</sup><sub>49</sub> | ||
| (purple 6th) | |(purple 6th) | ||
|- | |- | ||
| [[49/30]] | |[[49/30]] | ||
| 849.383198 | |849.383198 | ||
| zzg7, zozogu 7th | |zzg7, zozogu 7th | ||
| | |d7<sup>49</sup><sub>5</sub> | ||
| (purple 6th) | |(purple 6th) | ||
|- | |- | ||
| [[18/11]] | |[[18/11]] | ||
| 852.592059 | |852.592059 | ||
| 1u6, lu 6th | |1u6, lu 6th | ||
| M6<sub>11</sub> | | M6<sub>11</sub> | ||
| undecimal neutral sixth | |undecimal neutral sixth | ||
|- | |- | ||
| [[28/17]] | |[[28/17]] | ||
| 863.870497 | |863.870497 | ||
| 17uz6, suzo 6th | |17uz6, suzo 6th | ||
| | |M6<sup>7</sup><sub>17</sub> | ||
| septendecimal submajor sixth | |septendecimal submajor sixth | ||
|- | |- | ||
| [[38/23]] | |[[38/23]] | ||
| 869.238669 | |869.238669 | ||
| 23u19o6, twethuno 6th | |23u19o6, twethuno 6th | ||
| | |d7<sup>19</sup><sub>23</sub> | ||
| vicesimotertial submajor sixth | |vicesimotertial submajor sixth | ||
|- | |- | ||
| [[5/3]] | |[[5/3]] | ||
| 884.358713 | |884.358713 | ||
| y6, yo 6th | |y6, yo 6th | ||
| M6<sup>5</sup> | |M6<sup>5</sup> | ||
| classic major sixth, just major sixth | |classic major sixth, just major sixth | ||
|- | |- | ||
| [[42/25]] | |[[42/25]] | ||
| 898.153480 | |898.153480 | ||
| zgg7, zogugu 7th | |zgg7, zogugu 7th | ||
| d7<sup>7</sup><sub>25</sub> | |d7<sup>7</sup><sub>25</sub> | ||
| quasi-tempered major sixth | |quasi-tempered major sixth | ||
|- | |- | ||
| [[32/19]] | |[[32/19]] | ||
| 902.486984 | |902.486984 | ||
| 19u6, inu 6th | |19u6, inu 6th | ||
| | |M6<sub>19</sub> | ||
| utonal major sixth, octave-reduced 19th subharmonic | |utonal major sixth, octave-reduced 19th subharmonic | ||
|- | |- | ||
| [[27/16]] | |[[27/16]] | ||
| 905.865003 | |905.865003 | ||
| w6, wa 6th | |w6, wa 6th | ||
| M6 | |M6 | ||
| Pythagorean major sixth, octave-reduced 27th harmonic | |Pythagorean major sixth, octave-reduced 27th harmonic | ||
|- | |- | ||
| [[22/13]] | |[[22/13]] | ||
| 910.790821 | |910.790821 | ||
| 3u1o6, thulo 6th | |3u1o6, thulo 6th | ||
| M6<sup>11</sup><sub>13</sub> | |M6<sup>11</sup><sub>13</sub> | ||
| tridecimal major sixth | | tridecimal major sixth | ||
|- | |- | ||
| [[17/10]] | |[[17/10]] | ||
| 918.641696 | |918.641696 | ||
| 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 | ||
|- | |- | ||
| [[12/7]] | | [[12/7]] | ||
| 933.129094 | |933.129094 | ||
| r6, ru 6th | |r6, ru 6th | ||
| M6<sub>7</sub> | | M6<sub>7</sub> | ||
| supermajor sixth, septimal major sixth | |supermajor sixth, septimal major sixth | ||
|- | |- | ||
| [[55/32]] | |[[55/32]] | ||
| 937.631656 | |937.631656 | ||
| 1oy6, loyo 6th | |1oy6, loyo 6th | ||
| M6<sup>55</sup> | |M6<sup>55</sup> | ||
| keenanismic supermajor sixth, octave-reduced 55th harmonic | |keenanismic supermajor sixth, octave-reduced 55th harmonic | ||
|- | |- | ||
| [[19/11]] | |[[19/11]] | ||
| 946.195074 | |946.195074 | ||
| 19o1u7, nolu 7th | |19o1u7, nolu 7th | ||
| m7<sup>19</sup><sub>11</sub> | |m7<sup>19</sup><sub>11</sub> | ||
| undevicesimal semitwelfth, maximal major sixth | |undevicesimal semitwelfth, maximal major sixth | ||
|- | |- | ||
| [[140/81]] | |[[140/81]] | ||
| 947.319617 | |947.319617 | ||
| zy7, zoyo 7th | |zy7, zoyo 7th | ||
| m7<sup>35</sup> | |m7<sup>35</sup> | ||
| septimal semidiminished seventh, septimal inframinor seventh | |septimal semidiminished seventh, septimal inframinor seventh | ||
|- | |- | ||
| 97/56 | | 97/56 | ||
| 951.069504 | |951.069504 | ||
| 97or6, ninety-soru 6th | |97or6, ninety-soru 6th | ||
| M6<sup>97</sup><sub>7</sub> | |M6<sup>97</sup><sub>7</sub> | ||
| homothetic semitwelth | |homothetic semitwelth | ||
|- | |- | ||
| [[26/15]] | |[[26/15]] | ||
| 952.258947 | |952.258947 | ||
| 3og7, thogu 7th | |3og7, thogu 7th | ||
| d7<sup>13</sup><sub>5</sub> | |d7<sup>13</sup><sub>5</sub> | ||
| tridecimal semitwelfth | | tridecimal semitwelfth | ||
|- | |- | ||
| [[7/4]] | |[[7/4]] | ||
| 968.825906 | |968.825906 | ||
| z7, zo 7th | |z7, zo 7th | ||
| m7<sup>7</sup> | |m7<sup>7</sup> | ||
| subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic | |subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic | ||
|- | |- | ||
| [[225/128]] | |[[225/128]] | ||
| 976.537429 | |976.537429 | ||
| Lyy6, large yoyo 6th | |Lyy6, large yoyo 6th | ||
| | |A6<sup>25</sup> | ||
| marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}}) | |marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}}) | ||
|- | |- | ||
| [[127/72]] | |[[127/72]] | ||
| 982.511622 | |982.511622 | ||
| 127o7 | |127o7 | ||
| m7<sup>127</sup> | |m7<sup>127</sup> | ||
| harmonic/Pythagorean minor seventh meantone | |harmonic/Pythagorean minor seventh meantone | ||
|- | |- | ||
| [[30/17]] | |[[30/17]] | ||
| 983.313305 | |983.313305 | ||
| 17uy6, suyo 6th | |17uy6, suyo 6th | ||
| | |A6<sup>5</sup><sub>17</sub> | ||
| septendecimal minor seventh | |septendecimal minor seventh | ||
|- | |- | ||
| [[71/40]] | |[[71/40]] | ||
| 993.382830 | |993.382830 | ||
| 71oy7 | |71oy7 | ||
| m7<sup>71</sup><sub>5</sub> | |m7<sup>71</sup><sub>5</sub> | ||
| harmonic/just minor seventh meantone | | harmonic/just minor seventh meantone | ||
|- | |- | ||
| [[959/540]] | |[[959/540]] | ||
| 994.285690 | |994.285690 | ||
| 137ozy8 | |137ozy8 | ||
| dd8<sup>959</sup><sub>5</sub> | |dd8<sup>959</sup><sub>5</sub> | ||
| harmonic/Pythagorean/just minor seventh meantone | |harmonic/Pythagorean/just minor seventh meantone | ||
|- | |- | ||
| [[16/9]] | | [[16/9]] | ||
| 996.089998 | |996.089998 | ||
| w7, wa 7th | |w7, wa 7th | ||
| m7 | |m7 | ||
| Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic | |Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic | ||
|- | |- | ||
| [[25/14]] | |[[25/14]] | ||
| 1003.801521 | |1003.801521 | ||
| ryy6, ruyoyo 6th | | ryy6, ruyoyo 6th | ||
| | |A6<sup>25</sup><sub>7</sub> | ||
| middle minor seventh | |middle minor seventh | ||
|- | |- | ||
| [[34/19]] | |[[34/19]] | ||
| 1007.442393 | | 1007.442393 | ||
| 19u17o7, nuso 7th | |19u17o7, nuso 7th | ||
| | |m7<sup>17</sup><sub>19</sub> | ||
| quasi-meantone minor seventh | |quasi-meantone minor seventh | ||
|- | |- | ||
| [[9/5]] | | [[9/5]] | ||
| 1017.596288 | |1017.596288 | ||
| g5, gu 7th | |g5, gu 7th | ||
| m7<sub>5</sub> | |m7<sub>5</sub> | ||
| classic minor seventh, large minor seventh | |classic minor seventh, large minor seventh | ||
|- | |- | ||
| [[29/16]] | |[[29/16]] | ||
| 1029.577194 | |1029.577194 | ||
| 29o7, tweno 7th | |29o7, tweno 7th | ||
| | |m7<sup>29</sup> | ||
| vicesimononal supraminor seventh, octave-reduced 29th harmonic | |vicesimononal supraminor seventh, octave-reduced 29th harmonic | ||
|- | |- | ||
| [[20/11]] | |[[20/11]] | ||
| 1034.995772 | |1034.995772 | ||
| 1uy7, luyo 7th | |1uy7, luyo 7th | ||
| M7<sup>5</sup><sub>11</sub> | |M7<sup>5</sup><sub>11</sub> | ||
| undecimal supraminor seventh, small undecimal neutral seventh | |undecimal supraminor seventh, small undecimal neutral seventh | ||
|- | |- | ||
| [[64/35]] | |[[64/35]] | ||
| 1044.860380 | |1044.860380 | ||
| rg7, rugu 7th | |rg7, rugu 7th | ||
| | |m7<sub>35</sub> | ||
| septimal neutral seventh | |septimal neutral seventh | ||
|- | |- | ||
| [[11/6]] | |[[11/6]] | ||
| 1049.362941 | |1049.362941 | ||
| 1o7, ilo 7th | |1o7, ilo 7th | ||
| m7<sup>11</sup> | | m7<sup>11</sup> | ||
| undecimal neutral seventh, 21/4-tone | |undecimal neutral seventh, 21/4-tone | ||
|- | |- | ||
| [[24/13]] | |[[24/13]] | ||
| 1061.427339 | |1061.427339 | ||
| 3u7, thu 7th | |3u7, thu 7th | ||
| M7<sub>13</sub> | |M7<sub>13</sub> | ||
| tridecimal neutral seventh | |tridecimal neutral seventh | ||
|- | |- | ||
| [[13/7]] | |[[13/7]] | ||
| 1071.701755 | |1071.701755 | ||
| 3or7, thoru 7th | |3or7, thoru 7th | ||
| m7<sup>13</sup><sub>7</sub> | |m7<sup>13</sup><sub>7</sub> | ||
| tridecimal submajor seventh, 16/3-tone | |tridecimal submajor seventh, 16/3-tone | ||
|- | |- | ||
| [[28/15]] | |[[28/15]] | ||
| 1080.557192 | |1080.557192 | ||
| zg8, zogu octave | |zg8, zogu octave | ||
| d8<sup>7</sup><sub>5</sub> | |d8<sup>7</sup><sub>5</sub> | ||
| grave major seventh, octave minus a ruyo aug unison | | grave major seventh, octave minus a ruyo aug unison | ||
|- | |- | ||
| [[15/8]] | |[[15/8]] | ||
| 1088.268715 | |1088.268715 | ||
| y7, yo 7th | |y7, yo 7th | ||
| M7<sup>5</sup> | |M7<sup>5</sup> | ||
| classic major seventh, just major seventh, octave-reduced 15th harmonic | | classic major seventh, just major seventh, octave-reduced 15th harmonic | ||
|- | |- | ||
| [[32/17]] | |[[32/17]] | ||
| 1095.044590 | |1095.044590 | ||
| 17u7, su 7th | |17u7, su 7th | ||
| M7<sub>17</sub> | |M7<sub>17</sub> | ||
| septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), [[octave-reduced]] 17th [[subharmonic]] | | septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), [[octave-reduced]] 17th [[subharmonic]] | ||
|- | |- | ||
| [[17/9]] | |[[17/9]] | ||
| 1101.045408 | |1101.045408 | ||
| 17o8, iso octave | |17o8, iso octave | ||
| d8<sup>17</sup> | |d8<sup>17</sup> | ||
| septendecimal major seventh (HEJI), septendecimal diminished octave (FJS) | | septendecimal major seventh (HEJI), septendecimal diminished octave (FJS) | ||
|- | |- | ||
| [[36/19]] | |[[36/19]] | ||
| 1106.396986 | |1106.396986 | ||
| 19u7, inu 7th | |19u7, inu 7th | ||
| M7<sub>19</sub> | |M7<sub>19</sub> | ||
| undevicesimal major seventh, Boethius' major seventh | |undevicesimal major seventh, Boethius' major seventh | ||
|- | |- | ||
| [[243/128]] | | [[243/128]] | ||
| 1109.775004 | | 1109.775004 | ||
| Lw7, large wa 7th | |Lw7, large wa 7th | ||
| M7 | |M7 | ||
| Pythagorean major seventh, [[octave-reduced]] 243rd harmonic | |Pythagorean major seventh, [[octave-reduced]] 243rd harmonic | ||
|- | |- | ||
| [[19/10]] | |[[19/10]] | ||
| 1111.199302 | |1111.199302 | ||
| 19og8, nogu 8ve | |19og8, nogu 8ve | ||
| d8<sup>19</sup><sub>5</sub> | |d8<sup>19</sup><sub>5</sub> | ||
| undevicesimal diminished octave, Eratosthenes' major seventh | |undevicesimal diminished octave, Eratosthenes' major seventh | ||
|- | |- | ||
| [[40/21]] | |[[40/21]] | ||
| 1115.532907 | |1115.532907 | ||
| ry7, ruyo 7th | |ry7, ruyo 7th | ||
| M7<sup>5</sup><sub>7</sub> | |M7<sup>5</sup><sub>7</sub> | ||
| septimal acute major seventh | |septimal acute major seventh | ||
|- | |- | ||
| [[61/32]] | |[[61/32]] | ||
| 1116.884905 | |1116.884905 | ||
| 61o7, siwo 7th | |61o7, siwo 7th | ||
| M7<sup>61</sup> | |M7<sup>61</sup> | ||
| octave-reduced 61st harmonic | |octave-reduced 61st harmonic | ||
|- | |- | ||
| [[48/25]] | |[[48/25]] | ||
| 1129.327573 | |1129.327573 | ||
| gg8, gugu octave | |gg8, gugu octave | ||
| d8<sub>25</sub> | |d8<sub>25</sub> | ||
| classic diminished octave | |classic diminished octave | ||
|- | |- | ||
| [[27/14]] | |[[27/14]] | ||
| 1137.039096 | |1137.039096 | ||
| r7, ru 7th | |r7, ru 7th | ||
| M7<sub>7</sub> | | M7<sub>7</sub> | ||
| supermajor seventh, septimal major seventh | |supermajor seventh, septimal major seventh | ||
|- | |- | ||
| [[31/16]] | |[[31/16]] | ||
| 1145.035572 | |1145.035572 | ||
| 31o7, thiwo 7th | |31o7, thiwo 7th | ||
| M7<sup>31</sup> | |M7<sup>31</sup> | ||
| tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic | |tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic | ||
|- | |- | ||
| [[64/33]] | |[[64/33]] | ||
| 1146.727057 | |1146.727057 | ||
| 1u8, lu octave | |1u8, lu octave | ||
| P8<sub>11</sub> | | P8<sub>11</sub> | ||
| undecimal semidiminished octave, octave-reduced 33rd subharmonic | |undecimal semidiminished octave, octave-reduced 33rd subharmonic | ||
|- | |- | ||
| [[35/18]] | |[[35/18]] | ||
| 1151.239619 | |1151.239619 | ||
| zy8, zoyo octave | |zy8, zoyo octave | ||
| P8<sup>35</sup> | |P8<sup>35</sup> | ||
| septimal semidiminished octave | |septimal semidiminished octave | ||
|- | |- | ||
| [[96/49]] | |[[96/49]] | ||
| 1164.303188 | |1164.303188 | ||
| rr7, ruru 7th | |rr7, ruru 7th | ||
| M7<sub>49</sub> | |M7<sub>49</sub> | ||
| | | | ||
|- | |- | ||
| [[49/25]] | |[[49/25]] | ||
| 1165.024385 | | 1165.024385 | ||
| zzgg9, bizogu 9th | |zzgg9, bizogu 9th | ||
| d9<sup>49</sup><sub>25</sub> | |d9<sup>49</sup><sub>25</sub> | ||
| | | | ||
|- | |- | ||
| [[160/81]] | |[[160/81]] | ||
| 1178.493814 | |1178.493814 | ||
| y8, yo octave | |y8, yo octave | ||
| P8<sup>5</sup> | |P8<sup>5</sup> | ||
| octave minus syntonic comma | |octave minus syntonic comma | ||
|- | |- | ||
| [[2/1]] | |[[2/1]] | ||
| 1200 | | 1200 | ||
| w8, wa octave | |w8, wa octave | ||
| P8 | |P8 | ||
| [[Octave|octave]], [[Wikipedia:Diapason|diapason]] | |[[Octave|octave]], [[Wikipedia:Diapason|diapason]] | ||
|} | |} | ||
| Line 1,380: | Line 1,380: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|- | |- | ||
! frequency ratio | !frequency ratio | ||
! cents value | ! cents value | ||
| Line 1,388: | Line 1,388: | ||
!some common names | !some common names | ||
|- | |- | ||
| [[13/6]] | |[[13/6]] | ||
| 1338.573 | |1338.573 | ||
|3o9 | |3o9 | ||
|tho 9th | |tho 9th | ||
| Line 1,395: | Line 1,395: | ||
| | | | ||
|- | |- | ||
| [[11/5]] | |[[11/5]] | ||
| 1365.004 | |1365.004 | ||
|1o9 | |1o9 | ||
|ilo 9th | |ilo 9th | ||
| Line 1,403: | Line 1,403: | ||
|- | |- | ||
| [[16/7]] | | [[16/7]] | ||
| 1431.174 | |1431.174 | ||
|r9 | |r9 | ||
|ru 9th | |ru 9th | ||
| | |M9<sub>7</sub> | ||
| | | | ||
|- | |- | ||
| [[7/3]] | | [[7/3]] | ||
| 1466.871 | |1466.871 | ||
|z10 | |z10 | ||
|zo 10th | |zo 10th | ||
| Line 1,417: | Line 1,417: | ||
|- | |- | ||
| [[5/2]] | | [[5/2]] | ||
| 1586.314 | |1586.314 | ||
|y10 | |y10 | ||
|yo 10th | |yo 10th | ||
| Line 1,423: | Line 1,423: | ||
|just major tenth | |just major tenth | ||
|- | |- | ||
| [[8/3]] | |[[8/3]] | ||
| 1698.045 | |1698.045 | ||
|w11, cw4 | |w11, cw4 | ||
|wa 11th, co wa 4th | |wa 11th, co wa 4th | ||
| Line 1,430: | Line 1,430: | ||
| | | | ||
|- | |- | ||
| [[11/4]] | |[[11/4]] | ||
| 1751.318 | |1751.318 | ||
|1o11, c1o4 | |1o11, c1o4 | ||
|ilo 11th, co lo 4th | |ilo 11th, co lo 4th | ||
| Line 1,437: | Line 1,437: | ||
| | | | ||
|- | |- | ||
| [[3/1]] | |[[3/1]] | ||
| 1901.955 | |1901.955 | ||
|w12, cw5 | |w12, cw5 | ||
|wa 12th, co wa 5th | |wa 12th, co wa 5th | ||
|P12 | | P12 | ||
|tritave | |tritave | ||
|- | |- | ||
| [[16/5]] | |[[16/5]] | ||
| 2013.686 | |2013.686 | ||
|g13, cg6 | |g13, cg6 | ||
|gu 13th, co gu 6th | |gu 13th, co gu 6th | ||
| Line 1,451: | Line 1,451: | ||
| | | | ||
|- | |- | ||
| [[13/4]] | |[[13/4]] | ||
| 2040.528 | |2040.528 | ||
|3o13, c3o6 | | 3o13, c3o6 | ||
|tho 13th, co tho 6th | |tho 13th, co tho 6th | ||
| | |m13<sup>13</sup> | ||
| | | | ||
|- | |- | ||
| [[10/3]] | |[[10/3]] | ||
| 2084.359 | |2084.359 | ||
|y13, cy6 | |y13, cy6 | ||
|yo 13th, co yo 6th | |yo 13th, co yo 6th | ||
| | |M13<sup>5</sup> | ||
| | | | ||
|- | |- | ||
| [[7/2]] | | [[7/2]] | ||
| 2168.826 | |2168.826 | ||
|cz7 | |cz7 | ||
|co zo 7th | |co zo 7th | ||
| | |m14<sup>7</sup> | ||
| | | | ||
|- | |- | ||
| [[11/3]] | |[[11/3]] | ||
| 2249.363 | |2249.363 | ||
|c1o7 | |c1o7 | ||
|co ilo 7th | |co ilo 7th | ||
| | |m14<sup>11</sup> | ||
| | | | ||
|- | |- | ||
| [[15/4]] | |[[15/4]] | ||
| 2288.269 | |2288.269 | ||
|cy7 | |cy7 | ||
|co yo 7th | | co yo 7th | ||
| | |M14<sup>5</sup> | ||
| | | | ||
|- | |- | ||
| [[4/1]] | | [[4/1]] | ||
| 2400.000 | |2400.000 | ||
|cw8 | | cw8 | ||
|wa double 8ve | |wa double 8ve | ||
|P15 | |P15 | ||
|4th harmonic, two octaves | |4th harmonic, two octaves | ||
|- | |- | ||
| [[13/3]] | |[[13/3]] | ||
| 2538.573 | |2538.573 | ||
|c3o9, cc3o2 | |c3o9, cc3o2 | ||
|co tho 9th, coco tho 2nd | |co tho 9th, coco tho 2nd | ||
| | |m16<sup>13</sup> | ||
| | | | ||
|- | |- | ||
| [[9/2]] | |[[9/2]] | ||
| 2603.910 | |2603.910 | ||
|cw9, ccw2 | |cw9, ccw2 | ||
|co wa 9th, coco yo 2nd | |co wa 9th, coco yo 2nd | ||
| | |M16 | ||
| | | | ||
|- | |- | ||
| [[14/3]] | |[[14/3]] | ||
| 2666.871 | | 2666.871 | ||
|cz10, ccz3 | | cz10, ccz3 | ||
|co zo 10th, coco zo 3rd | |co zo 10th, coco zo 3rd | ||
| | |m17<sup>7</sup> | ||
| | | | ||
|- | |- | ||
| [[5/1]] | |[[5/1]] | ||
| 2786.314 | | 2786.314 | ||
|cy10, ccy3 | | cy10, ccy3 | ||
|co yo 10th, coco yo 3rd | |co yo 10th, coco yo 3rd | ||
|M17<sup>5</sup> | |M17<sup>5</sup> | ||
|5th harmonic | | 5th harmonic | ||
|- | |- | ||
| [[16/3]] | |[[16/3]] | ||
| 2898.045 | |2898.045 | ||
|ccw4 | |ccw4 | ||
|coco wa 4th | |coco wa 4th | ||
| | |P18 | ||
| | | | ||
|- | |- | ||
| [[11/2]] | |[[11/2]] | ||
| 2951.318 | |2951.318 | ||
|cc1o4 | | cc1o4 | ||
|coco ilo 4th | |coco ilo 4th | ||
| | |P18<sup>11</sup> | ||
| | | | ||
|- | |- | ||
| [[6/1]] | |[[6/1]] | ||
| 3101.955 | |3101.955 | ||
|ccw5 | |ccw5 | ||
|coco wa 5th | |coco wa 5th | ||
| | |P19 | ||
| | | | ||
|- | |- | ||
| [[13/2]] | |[[13/2]] | ||
| 3240.528 | |3240.528 | ||
|cc3o6 | | cc3o6 | ||
|coco tho 6th | |coco tho 6th | ||
| | |m20<sup>13</sup> | ||
| | | | ||
|- | |- | ||
| [[7/1]] | |[[7/1]] | ||
| 3368.826 | |3368.826 | ||
|ccz7 | |ccz7 | ||
|coco zo 7th | |coco zo 7th | ||
| | |m21<sup>7</sup> | ||
| | | | ||
|- | |- | ||
| [[15/2]] | |[[15/2]] | ||
| 3488.269 | |3488.269 | ||
|ccy7 | |ccy7 | ||
|coco yo 7th | |coco yo 7th | ||
| | |M21<sup>5</sup> | ||
| | | | ||
|- | |- | ||
| [[8/1]] | |[[8/1]] | ||
| 3600.000 | |3600.000 | ||
|c<sup>3</sup>w1 | |c<sup>3</sup>w1 | ||
|wa triple 8ve | |wa triple 8ve | ||
| | |P22 | ||
| | | | ||
|- | |- | ||
| [[9/1]] | |[[9/1]] | ||
| 3803.910 | |3803.910 | ||
|c<sup>3</sup>w2 | |c<sup>3</sup>w2 | ||
|trico wa 2nd | |trico wa 2nd | ||
| | |M23 | ||
| | | | ||
|- | |- | ||
| [[10/1]] | |[[10/1]] | ||
| 3986.314 | |3986.314 | ||
|c<sup>3</sup>y3 | |c<sup>3</sup>y3 | ||
|trico yo 3rd | |trico yo 3rd | ||
| | |M24<sup>5</sup> | ||
| | | | ||
|- | |- | ||
| [[11/1]] | |[[11/1]] | ||
| 4151.318 | |4151.318 | ||
|c<sup>3</sup>1o4 | |c<sup>3</sup>1o4 | ||
|trico ilo 4th | |trico ilo 4th | ||
| | |P25<sup>11</sup> | ||
| | | | ||
|- | |- | ||
| [[12/1]] | |[[12/1]] | ||
| 4301.955 | |4301.955 | ||
|c<sup>3</sup>w5 | |c<sup>3</sup>w5 | ||
|trico wa 5th | |trico wa 5th | ||
| | |P26 | ||
| | | | ||
|- | |- | ||
| [[13/1]] | |[[13/1]] | ||
| 4440.528 | |4440.528 | ||
|c<sup>3</sup>3o6 | |c<sup>3</sup>3o6 | ||
|trico tho 6th | |trico tho 6th | ||
| | |m27<sup>13</sup> | ||
| | | | ||
|- | |- | ||
| [[14/1]] | |[[14/1]] | ||
| 4568.826 | |4568.826 | ||
|c<sup>3</sup>z7 | |c<sup>3</sup>z7 | ||
|trico zo 7th | |trico zo 7th | ||
| | |m28<sup>7</sup> | ||
| | | | ||
|- | |- | ||
| [[15/1]] | |[[15/1]] | ||
| 4688.269 | |4688.269 | ||
|c<sup>3</sup>y7 | |c<sup>3</sup>y7 | ||
|trico yo 7th | |trico yo 7th | ||
| | |M28<sup>5</sup> | ||
| | | | ||
|- | |- | ||
| [[16/1]] | |[[16/1]] | ||
| 4800.000 | |4800.000 | ||
|c<sup>4</sup>w1 | |c<sup>4</sup>w1 | ||
|wa quadruple 8ve | |wa quadruple 8ve | ||
| | |P29 | ||
| | | | ||
|} | |} | ||
=See also= | =See also= | ||
* [[List of superparticular intervals]] | *[[List of superparticular intervals]] | ||
=Links= | =Links= | ||
* [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] [http://www.webcitation.org/5xeoz4zmC Permalink] | *[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] [http://www.webcitation.org/5xeoz4zmC Permalink] | ||
* [http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list] | *[http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list] | ||
* [http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]] | *[http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]] | ||
* [http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]] | *[http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]] | ||
* [https://misotanni.github.io/fjs/en/calc.html FJS interval calculators] | *[https://misotanni.github.io/fjs/en/calc.html FJS interval calculators] | ||
* [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals] | *[http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals] | ||
[[Category:Gallery]] | [[Category:Gallery]] | ||
[[Category:Interval collection]] | [[Category:Interval collection]] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||