5-limit: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
!wa (3-limit) interval | ! colspan="4" |wa (3-limit) interval | ||
! colspan="2" | interval category | ! colspan="2" | interval category | ||
!yo or gu (5-limit) interval (81/80) | ! colspan="4" |yo or gu (5-limit) interval (81/80) | ||
! | ! colspan="3" |yoyo or gugu interval (6561/6400) | ||
|- | |- | ||
! ratio | ! ratio | ||
! cents | ! cents | ||
! colspan="2" |[[Kite's color notation|Color name]] | |||
! | ! | ||
! | ! | ||
! ratio | ! ratio | ||
! cents | ! cents | ||
! [[Kite's color notation|Color]] | ! colspan="2" |[[Kite's color notation|Color name]] | ||
! ratio | ! ratio | ||
! cents | ! cents | ||
! [[Kite's color notation|Color]] | |||
|- | |- | ||
| '''[[1/1]]''' | |||
| '''0.000''' | |||
| w1 | | w1 | ||
| wa unison | | wa unison | ||
| unison | | unison | ||
| C | | C | ||
| [[81/80]] | |||
| 21.506 | |||
| g1 | | g1 | ||
| gu comma | | gu comma | ||
| [[6561/6400]] | | [[6561/6400]] | ||
| 43.013 | | 43.013 | ||
| Lgg1 | |||
|- | |- | ||
| [[2187/2048]] | |||
| 113.685 | |||
| Lw1 | | Lw1 | ||
| large wa 1sn | | large wa 1sn | ||
| aug. unison | | aug. unison | ||
| C# | | C# | ||
| [[135/128]] | |||
| 92.179 | |||
| Ly1 | | Ly1 | ||
| large yo 1sn | | large yo 1sn | ||
| '''[[25/24]]''' | | '''[[25/24]]''' | ||
| '''70.672''' | | '''70.672''' | ||
| yy1 | |||
|- | |- | ||
| [[256/243]] | |||
| 90.225 | |||
| sw2 | | sw2 | ||
| small wa 2nd | | small wa 2nd | ||
| minor 2nd | | minor 2nd | ||
| Db | | Db | ||
| '''[[16/15]]''' | |||
| '''111.731''' | |||
| g2 | | g2 | ||
| gu 2nd | | gu 2nd | ||
| [[27/25]] | | [[27/25]] | ||
| 133.238 | | 133.238 | ||
| gg2 | |||
|- | |- | ||
| '''[[9/8]]''' | |||
| '''203.910''' | |||
| w2 | | w2 | ||
| wa 2nd | | wa 2nd | ||
| major 2nd | | major 2nd | ||
| D | | D | ||
| [[10/9]] | |||
| 182.404 | |||
| y2 | | y2 | ||
| yo 2nd | | yo 2nd | ||
| [[800/729]] | | [[800/729]] | ||
| 160.897 | | 160.897 | ||
| syy2 | |||
|- | |- | ||
| [[19683/16384]] | |||
| 317.595 | |||
| Lw2 | | Lw2 | ||
| large wa 2nd | | large wa 2nd | ||
| aug. 2nd | | aug. 2nd | ||
| D# | | D# | ||
| [[1215/1024]] | |||
| 296.089 | |||
| Ly2 | | Ly2 | ||
| large yo 2nd | | large yo 2nd | ||
| '''[[75/64]]''' | | '''[[75/64]]''' | ||
| '''274.582''' | | '''274.582''' | ||
| yy2 | |||
|- | |- | ||
| [[32/27]] | |||
| 294.135 | |||
| w3 | | w3 | ||
| wa 3rd | | wa 3rd | ||
| minor 3rd | | minor 3rd | ||
| Eb | | Eb | ||
| '''[[6/5]]''' | |||
| '''315.641''' | |||
| g3 | | g3 | ||
| gu 3rd | | gu 3rd | ||
| [[243/200]] | | [[243/200]] | ||
| 337.148 | | 337.148 | ||
| gg3 | |||
|- | |- | ||
| [[81/64]] | |||
| 407.820 | |||
| Lw3 | | Lw3 | ||
| large wa 3rd | | large wa 3rd | ||
| major 3rd | | major 3rd | ||
| E | | E | ||
| '''[[5/4]]''' | |||
| '''386.314''' | |||
| y3 | | y3 | ||
| yo 3rd | | yo 3rd | ||
| [[100/81]] | | [[100/81]] | ||
| 364.807 | | 364.807 | ||
| yy3 | |||
|- | |- | ||
| [[8192/6561]] | |||
| 384.360 | |||
| sw4 | | sw4 | ||
| small wa 4th | | small wa 4th | ||
| dim. fourth | | dim. fourth | ||
| Fb | | Fb | ||
| [[512/405]] | |||
| 405.866 | |||
| sg4 | | sg4 | ||
| small gu 4th | | small gu 4th | ||
| '''[[32/25]]''' | | '''[[32/25]]''' | ||
| '''427.373''' | | '''427.373''' | ||
| gg4 | |||
|- | |- | ||
| '''[[4/3]]''' | |||
| '''498.045''' | |||
| w4 | | w4 | ||
| wa 4th | | wa 4th | ||
| fourth | | fourth | ||
| F | | F | ||
| [[27/20]] | |||
| 519.551 | |||
| g4 | | g4 | ||
| gu 4th | | gu 4th | ||
| [[2187/1600]] | | [[2187/1600]] | ||
| 541.058 | | 541.058 | ||
| Lgg4 | |||
|- | |- | ||
| [[729/512]] | |||
| 611.730 | |||
| Lw4 | | Lw4 | ||
| large wa 4th | | large wa 4th | ||
| aug. fourth | | aug. fourth | ||
| F# | | F# | ||
| [[45/32]] | |||
| 590.224 | |||
| y4 | | y4 | ||
| yo 4th | | yo 4th | ||
| '''[[25/18]]''' | | '''[[25/18]]''' | ||
| '''568.717''' | | '''568.717''' | ||
| yy4 | |||
|- | |- | ||
| [[1024/729]] | |||
| 588.270 | |||
| sw5 | | sw5 | ||
| small wa 5th | | small wa 5th | ||
| dim. fifth | | dim. fifth | ||
| Gb | | Gb | ||
| [[64/45]] | |||
| 609.776 | |||
| g5 | | g5 | ||
| gu 5th | | gu 5th | ||
| '''[[36/25]]''' | | '''[[36/25]]''' | ||
| '''631.283''' | | '''631.283''' | ||
| gg5 | |||
|- | |- | ||
| '''[[3/2]]''' | |||
| '''701.955''' | |||
| w5 | | w5 | ||
| wa 5th | | wa 5th | ||
| fifth | | fifth | ||
| G | | G | ||
| [[40/27]] | |||
| 680.449 | |||
| y5 | | y5 | ||
| yo 5th | | yo 5th | ||
| [[3200/2187]] | | [[3200/2187]] | ||
| 658.942 | | 658.942 | ||
| syy5 | |||
|- | |- | ||
| [[6561/4096]] | |||
| 815.640 | |||
| Lw5 | | Lw5 | ||
| large wa 5th | | large wa 5th | ||
| aug. fifth | | aug. fifth | ||
| G# | | G# | ||
| [[405/256]] | |||
| 794.134 | |||
| Ly5 | | Ly5 | ||
| large yo 5th | | large yo 5th | ||
| '''[[25/16]]''' | | '''[[25/16]]''' | ||
| '''772.627''' | | '''772.627''' | ||
| yy5 | |||
|- | |- | ||
| [[128/81]] | |||
| 792.180 | |||
| sw6 | | sw6 | ||
| small wa 6th | | small wa 6th | ||
| minor 6th | | minor 6th | ||
| Ab | | Ab | ||
| '''[[8/5]]''' | |||
| '''813.686''' | |||
| g6 | | g6 | ||
| gu 6th | | gu 6th | ||
| [[81/50]] | | [[81/50]] | ||
| 835.193 | | 835.193 | ||
| gg6 | |||
|- | |- | ||
| [[27/16]] | |||
| 905.865 | |||
| w6 | | w6 | ||
| wa 6th | | wa 6th | ||
| major 6th | | major 6th | ||
| A | | A | ||
| '''[[5/3]]''' | |||
| '''884.359''' | |||
| y6 | | y6 | ||
| yo 6th | | yo 6th | ||
| [[400/243]] | | [[400/243]] | ||
| 862.852 | | 862.852 | ||
| yy6 | |||
|- | |- | ||
| [[32768/19683]] | |||
| 882.405 | |||
| sw7 | | sw7 | ||
| small wa 7th | | small wa 7th | ||
| dim. 7th | | dim. 7th | ||
| Bbb | | Bbb | ||
| [[2048/1215]] | |||
| 903.911 | |||
| sg7 | | sg7 | ||
| small gu 7th | | small gu 7th | ||
| '''[[128/75]]''' | | '''[[128/75]]''' | ||
| '''925.418''' | | '''925.418''' | ||
| gg7 | |||
|- | |- | ||
| [[16/9]] | |||
| 996.090 | |||
| w7 | | w7 | ||
| wa 7th | | wa 7th | ||
| minor 7th | | minor 7th | ||
| Bb | | Bb | ||
| '''[[9/5]]''' | |||
| '''1017.596''' | |||
| g7 | | g7 | ||
| gu 7th | | gu 7th | ||
| [[729/400]] | | [[729/400]] | ||
| 1039.103 | | 1039.103 | ||
| Lgg7 | |||
|- | |- | ||
| [[243/128]] | |||
| 1109.775 | |||
| Lw7 | | Lw7 | ||
| large wa 7th | | large wa 7th | ||
| major 7th | | major 7th | ||
| B | | B | ||
| '''[[15/8]]''' | |||
| '''1088.269''' | |||
| y7 | | y7 | ||
| yo 7th | | yo 7th | ||
| [[50/27]] | | [[50/27]] | ||
| 1066.762 | | 1066.762 | ||
| yy7 | |||
|- | |- | ||
| [[4096/2187]] | |||
| 1086.315 | |||
| sw8 | | sw8 | ||
| small wa 8ve | | small wa 8ve | ||
| dim. octave | | dim. octave | ||
| Cb | | Cb | ||
| [[256/135]] | |||
| 1107.821 | |||
| sg8 | | sg8 | ||
| small gu 8ve | | small gu 8ve | ||
| '''[[48/25]]''' | | '''[[48/25]]''' | ||
| '''1129.328''' | | '''1129.328''' | ||
| gg8 | |||
|- | |- | ||
| '''[[2/1]]''' | |||
| '''1200.000''' | |||
| w8 | | w8 | ||
| wa 8ve | | wa 8ve | ||
| octave | | octave | ||
| C | | C | ||
| [[160/81]] | |||
| 1178.494 | |||
| y8 | | y8 | ||
| yo 8ve | | yo 8ve | ||
| [[12800/6561]] | | [[12800/6561]] | ||
| 1156.987 | | 1156.987 | ||
| syy8 | |||
|} | |} | ||
| Line 330: | Line 320: | ||
* [https://soundcloud.com/williamcopper/0511_1 Symphony 4, first movement] by [http://www.williamcopper.com William Copper] | * [https://soundcloud.com/williamcopper/0511_1 Symphony 4, first movement] by [http://www.williamcopper.com William Copper] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Copper/Magnificat0465.mp3 Magnificat] by [http://www.williamcopper.com William Copper] | * [http://micro.soonlabel.com/gene_ward_smith/Others/Copper/Magnificat0465.mp3 Magnificat] by [http://www.williamcopper.com William Copper] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Copper/Catch%20for%20Woodwind%20Quintet-0570.mp3 Catch for Woodwin Quintet] by [http://www.hartenshield.com/william_copper.html William Copper] | * [http://micro.soonlabel.com/gene_ward_smith/Others/Copper/Catch%20for%20Woodwind%20Quintet-0570.mp3 Catch for Woodwin Quintet] by [http://www.hartenshield.com/william_copper.html William Copper] [[Category:5-limit| ]] <!-- main article --> | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Lattice]] | [[Category:Lattice]] | ||