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


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* [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] [[Category:5-limit| ]] <!-- main article -->
* [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]]