User:BudjarnLambeth/Beginners: Difference between revisions
Created page with "{{Editable user page}} '''Return to gallery lobby: Gallery of just intervals''' The following is an exhibit featuring a sma..." |
|||
| Line 31: | Line 31: | ||
| P1 | | P1 | ||
| unity, perfect prime, Tonic | | unity, perfect prime, Tonic | ||
|- | |||
|[[33/32]] | |||
|53.272943 | |||
|1o1, ilo unison | |||
|P1<sup>11</sup> | |||
|undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]] | |||
|- | |||
|[[28/27]] | |||
|62.960904 | |||
|z2, zo 2nd | |||
|m2<sup>7</sup> | |||
|small septimal chroma, septimal third-tone, subminor second, septimal minor second | |||
|- | |||
|[[27/26]] | |||
|65.337341 | |||
|3u1, thu unison | |||
|A1<sub>13</sub> | |||
|small tridecimal third tone | |||
|- | |||
|[[26/25]] | |||
|67.900234 | |||
|3ogg2, thogugu 2nd | |||
|d2<sup>13</sup><sub>25</sub> | |||
|large tridecimal third tone | |||
|- | |||
|[[25/24]] | |||
|70.672427 | |||
|yy1, yoyo unison | |||
|A1<sup>25</sup> | |||
|chroma, classic chromatic semitone, Zarlinian semitone | |||
|- | |||
|[[24/23]] | |||
|73.680654 | |||
|23u1, twethu unison | |||
|m2<sub>23</sub> | |||
|lesser vicesimotertial semitone | |||
|- | |||
|[[23/22]] | |||
|76.956405 | |||
|23o1u2, twetholu 2nd | |||
|A1<sup>23</sup><sub>11</sub> | |||
|greater vicesimotertial semitone | |||
|- | |||
|[[22/21]] | |||
|80.537035 | |||
|1or1, loru unison | |||
|P1<sup>11</sup><sub>7</sub> | |||
|undecimal minor semitone | |||
|- | |||
|[[21/20]] | |||
|84.467193 | |||
|zg2, zogu 2nd | |||
|m2<sup>7</sup><sub>5</sub> | |||
|minor semitone, large septimal chroma | |||
|- | |||
|[[20/19]] | |||
|88.800698 | |||
|19uy1, nuyo unison | |||
|A1<sup>5</sup><sub>19</sub> | |||
|small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone | |||
|- | |||
|[[19/18]] | |||
|93.603014 | |||
|19o2, ino 2nd | |||
|m2<sup>19</sup> | |||
|large undevicesimal semitone, undevicesimal limma, Boethius' semitone | |||
|- | |||
|[[18/17]] | |||
|98.954592 | |||
|17u1, su unison | |||
|A1<sub>17</sub> | |||
|small septendecimal semitone, Arabic lute index finger | |||
|- | |||
|[[17/16]] | |||
|104.955410 | |||
|17o2, iso 2nd | |||
|m2<sup>17</sup> | |||
|large septendecimal semitone, octave-reduced 17th harmonic | |||
|- | |||
|[[16/15]] | |||
|111.731285 | |||
|g2, gu 2nd | |||
|m2<sub>5</sub> | |||
|classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic | |||
|- | |||
|[[15/14]] | |||
|119.442808 | |||
|ry1, ruyo unison | |||
|A1<sup>5</sup><sub>7</sub> | |||
|septimal diatonic semitone | |||
|- | |||
|[[14/13]] | |||
|128.298245 | |||
|3uz2, thuzo 2nd | |||
|M2<sup>7</sup><sub>13</sub> | |||
|tridecimal 2/3-tone, trienthird, tridecimal supraminor second | |||
|- | |||
|[[13/12]] | |||
|138.572661 | |||
|3o2, tho 2nd | |||
|m2<sup>13</sup> | |||
|tridecimal neutral second, tridecimal 2/3-tone | |||
|- | |||
|[[12/11]] | |||
|150.637059 | |||
|1u2, lu 2nd | |||
|M2<sub>11</sub> | |||
|small undecimal neutral second, 3/4-tone | |||
|- | |||
|[[11/10]] | |||
|165.004228 | |||
|1og2, logu 2nd | |||
|m2<sup>11</sup><sub>5</sub> | |||
|undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second | |||
|- | |||
|[[10/9]] | |||
|182.403712 | |||
|y2, yo 2nd | |||
|M2<sup>5</sup> | |||
|classic (whole) tone, minor (whole) tone | |||
|- | |||
|[[19/17]] | |||
|192.557607 | |||
|19o17u2, nosu 2nd | |||
|M2<sup>19</sup><sub>17</sub> | |||
|quasi-meantone | |||
|- | |||
|[[9/8]] | |||
|203.910002 | |||
|w2, wa 2nd | |||
|M2 | |||
|Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic | |||
|- | |||
|[[17/15]] | |||
|216.686695 | |||
|17og3, sogu 3rd | |||
|d3<sup>17</sup><sub>5</sub> | |||
|septendecimal whole tone, septendecimal eventone | |||
|- | |||
|[[8/7]] | |||
|231.174094 | |||
|r2, ru 2nd | |||
|M2<sub>7</sub> | |||
|supermajor second, septimal whole tone, octave-reduced 7th subharmonic | |||
|- | |||
|[[15/13]] | |||
|247.741053 | |||
|3uy2, thuyo 2nd | |||
|A2<sup>5</sup><sub>13</sub> | |||
|tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third | |||
|- | |||
|[[7/6]] | |||
|266.870906 | |||
|z3, zo 3rd | |||
|m3<sup>7</sup> | |||
|subminor third, septimal minor third | |||
|- | |||
|[[20/17]] | |||
|281.358304 | |||
|17uy2, suyo 2nd | |||
|A2<sup>5</sup><sub>17</sub> | |||
|septendecimal augmented second, septendecimal minor third | |||
|- | |||
|[[13/11]] | |||
|289.209719 | |||
|3o1u3, tholu 3rd | |||
|m3<sup>13</sup><sub>11</sub> | |||
|tridecimal minor third | |||
|- | |||
|[[19/16]] | |||
|297.513016 | |||
|19o3, ino 3rd | |||
|m3<sup>19</sup> | |||
|otonal minor third, octave-reduced 19th harmonic | |||
|- | |||
|[[6/5]] | |||
|315.641287 | |||
|g3, gu 3rd | |||
|m3<sub>5</sub> | |||
|classic minor third, just minor third | |||
|- | |||
|[[23/19]] | |||
|330.761331 | |||
|23o19u3, twethonu 3rd | |||
|A2<sup>23</sup><sub>19</sub> | |||
|vicesimotertial supraminor third | |||
|- | |||
|[[17/14]] | |||
|336.129503 | |||
|17or3, soru 3rd | |||
|m3<sup>17</sup><sub>5</sub> | |||
|septendecimal supraminor third | |||
|- | |||
|[[11/9]] | |||
|347.407941 | |||
|1o3, ilo 3rd | |||
|m3<sup>11</sup> | |||
|undecimal neutral third | |||
|- | |||
|[[16/13]] | |||
|359.472338 | |||
|3u3, thu 3rd | |||
|M3<sub>13</sub> | |||
|greater tridecimal neutral third, octave reduced 13subharmonic | |||
|- | |||
|[[21/17]] | |||
|365.825498 | |||
|17uz3, suzo 3rd | |||
|M3<sup>7</sup><sub>17</sub> | |||
|septendecimal submajor third | |||
|- | |||
|[[5/4]] | |||
|386.313714 | |||
|y3, yo 3rd | |||
|M3<sup>5</sup> | |||
|classic major third, just major third, octave-reduced 5th harmonic | |||
|- | |||
|[[19/15]] | |||
|409.244301 | |||
|19og4, nogu 4th | |||
|d4<sup>19</sup><sub>5</sub> | |||
|Eratosthenes' major third | |||
|- | |||
|[[14/11]] | |||
|417.507964 | |||
|1uz4, luzo 4th | |||
|P4<sup>7</sup><sub>11</sub> | |||
|undecimal major third, undecimal diminished fourth | |||
|- | |||
|[[23/18]] | |||
|424.364346 | |||
|23o4, twetho 4th | |||
|M3<sup>23</sup> | |||
|vicesimotertial diminished fourth | |||
|- | |||
|[[9/7]] | |||
|435.084095 | |||
|r3, ru 3rd | |||
|M3<sub>7</sub> | |||
|supermajor third, septimal major third | |||
|- | |||
|[[13/10]] | |||
|454.213948 | |||
|3og4, thogu 4th | |||
|d4<sup>13</sup><sub>5</sub> | |||
|tridecimal semisixth, Barbados third, tridecimal 9/4 tone | |||
|- | |||
|[[17/13]] | |||
|464.427748 | |||
|17o3u4, sothu 4th | |||
|P4<sup>17</sup><sub>13</sub> | |||
|septendecimal sub-fourth | |||
|- | |||
|[[25/19]] | |||
|475.114412 | |||
|19uyy3, nuyoyo 3rd | |||
|A3<sup>5,5</sup><sub>19</sub> | |||
|undevicesimal augmented third, undevicesimal grave fourth | |||
|- | |||
|[[4/3]] | |||
|498.044999 | |||
|w4, wa 4th | |||
|P4 | |||
|just perfect fourth, octave-reduced 3rd subharmonic, diatessaron | |||
|- | |||
|[[23/17]] | |||
|523.318938 | |||
|23o17u4, twethosu 4th | |||
|A3<sup>23</sup><sub>17</sub> | |||
|vicesimotertial acute fourth | |||
|- | |||
|[[15/11]] | |||
|536.950772 | |||
|1uy4, luyo 4th | |||
|A4<sup>5</sup><sub>11</sub> | |||
|undecimal augmented fourth, subaugmented fourth | |||
|- | |||
|[[11/8]] | |||
|551.317942 | |||
|1o4, ilo 4th | |||
|P4<sup>11</sup> | |||
|super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa | |||
|- | |||
|[[18/13]] | |||
|563.382340 | |||
|3u4, thu 4th | |||
|A4<sub>13</sub> | |||
|tridecimal augmented fourth | |||
|- | |||
|[[7/5]] | |||
|582.512193 | |||
|zg5, zogu 5th | |||
|d5<sup>7</sup><sub>5</sub> | |||
|augmented fourth, septimal tritone, Huygen's tritone | |||
|- | |||
|[[17/12]] | |||
|603.000409 | |||
|17o5, iso 5th | |||
|d5<sup>17</sup> | |||
|larger septendecimal tritone | |||
|- | |||
|[[10/7]] | |||
|617.487807 | |||
|ry4, ruyo 4th | |||
|A4<sup>5</sup><sub>7</sub> | |||
|diminished fifth, Euler's tritone, superaugmented fourth | |||
|- | |||
|[[13/9]] | |||
|636.617660 | |||
|3o5, tho 5th | |||
|d5<sup>13</sup> | |||
|tridecimal diminished fifth | |||
|- | |||
|[[16/11]] | |||
|648.682058 | |||
|1u5, lu 5th | |||
|P5<sub>11</sub> | |||
|sub-fifth, octave-reduced 11th subharmonic | |||
|- | |||
|[[19/13]] | |||
|656.985354 | |||
|19o3u5, nothu 5th | |||
|P5<sup>19</sup><sub>13</sub> | |||
|undevicesimal subfifth | |||
|- | |||
|[[25/17]] | |||
|667.672018 | |||
|17uyy4, suyoyo 4th | |||
|AA4<sup>5,5</sup><sub>17</sub> | |||
|vengeance subfifth | |||
|- | |||
|[[3/2]] | |||
|701.955001 | |||
|w5, wa 5th | |||
|P5 | |||
|[[just perfect fifth]], octave-reduced 3rd harmonic, diapente | |||
|- | |||
|[[26/17]] | |||
|735.572252 | |||
|17u3o5, sutho 5th | |||
|P5<sup>13</sup><sub>17</sub> | |||
|septendecimal super-fifth | |||
|- | |||
|[[20/13]] | |||
|745.786052 | |||
|3uy5, thuyo 5th | |||
|A5<sup>5</sup><sub>13</sub> | |||
|tridecimal semitenth, Barbados sixth, ratwolf wolf fifth | |||
|- | |||
|[[17/11]] | |||
|753.637467 | |||
|17o1u6, solu 6th | |||
|m6<sup>17</sup><sub>11</sub> | |||
|septendecimal subminor sixth | |||
|- | |||
|[[14/9]] | |||
|764.915905 | |||
|z6, zo 6th | |||
|m6<sup>7</sup> | |||
|subminor sixth, septimal minor sixth | |||
|- | |||
|[[11/7]] | |||
|782.492036 | |||
|1or5, loru 5th | |||
|P5<sup>11</sup><sub>7</sub> | |||
|undecimal subminor sixth, undecimal augmented fifth | |||
|- | |||
|[[19/12]] | |||
|795.558015 | |||
|19o6, ino 6th | |||
|m6<sup>19</sup> | |||
|large undevicesimal minor sixth, Boethius' minor sixth | |||
|- | |||
|[[8/5]] | |||
|813.686286 | |||
|g6, gu 6th | |||
|m6<sub>5</sub> | |||
|classic minor sixth, just minor sixth, octave-reduced 5th subharmonic | |||
|- | |||
|[[21/13]] | |||
|830.253246 | |||
|3uz6, thuzo 6th | |||
|M6<sup>7</sup><sub>13</sub> | |||
|tridecimal supraminor sixth | |||
|- | |||
|[[13/8]] | |||
|840.527662 | |||
|3o6, tho 6th | |||
|m6<sup>13</sup> | |||
|lesser tridecimal neutral sixth, octave-reduced 13th harmonic | |||
|- | |||
|[[18/11]] | |||
|852.592059 | |||
|1u6, lu 6th | |||
|M6<sub>11</sub> | |||
|undecimal neutral sixth | |||
|- | |||
|[[23/14]] | |||
|859.448441 | |||
|23or6, twethoru 6th | |||
|A5<sup>23</sup><sub>7</sub> | |||
|vicesimotertial neutral sixth | |||
|- | |||
|[[5/3]] | |||
|884.358713 | |||
|y6, yo 6th | |||
|M6<sup>5</sup> | |||
|classic major sixth, just major sixth | |||
|- | |||
|[[22/13]] | |||
|910.790821 | |||
|3u1o6, thulo 6th | |||
|M6<sup>11</sup><sub>13</sub> | |||
|tridecimal major sixth | |||
|- | |||
|[[17/10]] | |||
|918.641696 | |||
|17og7, sogu 7th | |||
|d7<sup>17</sup><sub>5</sub> | |||
|septendecimal diminished seventh, septendecimal major sixth | |||
|- | |||
|[[12/7]] | |||
|933.129094 | |||
|r6, ru 6th | |||
|M6<sub>7</sub> | |||
|supermajor sixth, septimal major sixth | |||
|- | |||
|[[19/11]] | |||
|946.195074 | |||
|19o1u7, nolu 7th | |||
|m7<sup>19</sup><sub>11</sub> | |||
|undevicesimal semitwelfth, maximal major sixth | |||
|- | |||
|[[26/15]] | |||
|952.258947 | |||
|3og7, thogu 7th | |||
|d7<sup>13</sup><sub>5</sub> | |||
|tridecimal semitwelfth | |||
|- | |||
|[[7/4]] | |||
|968.825906 | |||
|z7, zo 7th | |||
|m7<sup>7</sup> | |||
|subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic | |||
|- | |||
|[[23/13]] | |||
|987.746686 | |||
|23o3u7, twethothu 7th | |||
|A6<sup>23</sup><sub>13</sub> | |||
|vicesimotertial minor seventh | |||
|- | |||
|[[16/9]] | |||
|996.089998 | |||
|w7, wa 7th | |||
|m7 | |||
|Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic | |||
|- | |||
|[[9/5]] | |||
|1017.596288 | |||
|g5, gu 7th | |||
|m7<sub>5</sub> | |||
|classic minor seventh, large minor seventh | |||
|- | |||
|[[20/11]] | |||
|1034.995772 | |||
|1uy7, luyo 7th | |||
|M7<sup>5</sup><sub>11</sub> | |||
|undecimal supraminor seventh, small undecimal neutral seventh | |||
|- | |||
|[[11/6]] | |||
|1049.362941 | |||
|1o7, ilo 7th | |||
|m7<sup>11</sup> | |||
|undecimal neutral seventh, 21/4-tone | |||
|- | |||
|[[24/13]] | |||
|1061.427339 | |||
|3u7, thu 7th | |||
|M7<sub>13</sub> | |||
|tridecimal neutral seventh | |||
|- | |||
|[[13/7]] | |||
|1071.701755 | |||
|3or7, thoru 7th | |||
|m7<sup>13</sup><sub>7</sub> | |||
|tridecimal submajor seventh, 16/3-tone | |||
|- | |||
|[[15/8]] | |||
|1088.268715 | |||
|y7, yo 7th | |||
|M7<sup>5</sup> | |||
|classic major seventh, just major seventh, octave-reduced 15th harmonic | |||
|- | |||
|[[17/9]] | |||
|1101.045408 | |||
|17o8, iso octave | |||
|d8<sup>17</sup> | |||
|septendecimal major seventh (HEJI), septendecimal diminished octave (FJS) | |||
|- | |||
|[[19/10]] | |||
|1111.199302 | |||
|19og8, nogu 8ve | |||
|d8<sup>19</sup><sub>5</sub> | |||
|undevicesimal diminished octave, Eratosthenes' major seventh | |||
|- | |||
|[[21/11]] | |||
|1119.462965 | |||
|1uz8, luzo 8ve | |||
|P8<sup>7</sup><sub>11</sub> | |||
|large undecimal diminished octave, undecimal major seventh | |||
|- | |||
|[[23/12]] | |||
|1126.319346 | |||
|23o8, twetho 8ve | |||
|M7<sup>23</sup> | |||
|large vicesimotertial major seventh | |||
|- | |||
|[[25/13]] | |||
|1132.099766 | |||
|3uyy7, thuyoyo 7th | |||
|A7<sup>5,5</sup><sub>13</sub> | |||
|lesser tridecimal diminished octave | |||
|- | |||
|[[27/14]] | |||
|1137.039096 | |||
|r7, ru 7th | |||
|M7<sub>7</sub> | |||
|supermajor seventh, septimal major seventh | |||
|- | |||
|[[31/16]] | |||
|1145.035572 | |||
|31o7, thiwo 7th | |||
|M7<sup>31</sup> | |||
|tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic | |||
|- | |||
|[[35/18]] | |||
|1151.239619 | |||
|zy8, zoyo octave | |||
|P8<sup>35</sup> | |||
|septimal semidiminished octave | |||
|- | |||
|[[2/1]] | |||
|1200 | |||
|w8, wa octave | |||
|P8 | |||
|[[octave]], [[Wikipedia:Diapason|diapason]] | |||
|} | |} | ||