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5-limit: Difference between revisions

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TallKite (talk | contribs)
autopatrolled, Sysops
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Line 11: Line 11:
{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" | 3-limit interval
! colspan="4" |wa (3-limit) interval
! colspan="2" | interval category
! colspan="2" | interval category
! colspan="2" | |5-limit interval (81/80)
! colspan="4" |yo or gu (5-limit) interval (81/80)
! colspan="2" | |Another 5-limit (6561/6400)
! colspan="3" |yoyo or gugu interval (6561/6400)
|-
|-
! colspan="2" |[[Kite's color notation|interval name]]
! | ratio
! | ratio
! | cents value
! | cents
! |  
! |  
! |  
! |  
! colspan="2" |[[Kite's color notation|interval name]]
! | ratio
! | ratio
! | cents value
! | cents
![[Kite's color notation|interval]]
! | ratio
! | ratio
! | cents value
! | cents
|-
|-
|w1
|wa unison
| | '''[[1/1|1/1]]'''
| | '''[[1/1|1/1]]'''
| | '''0.000'''
| | '''0.000'''
| | unison
| | unison
| | C
| | C
|g1
|gu comma
| | [[81/80|81/80]]
| | [[81/80|81/80]]
| | 21.506
| | 21.506
|Lgg1
| | [[6561/6400|6561/6400]]
| | [[6561/6400|6561/6400]]
| | 43.013
| | 43.013
|-
|-
|Lw1
|large wa 1sn
| | [[2187/2048|2187/2048]]
| | [[2187/2048|2187/2048]]
| | 113.685
| | 113.685
| | aug. unison
| | aug. unison
| | C#
| | C#
|Ly1
|large yo 1sn
| | [[135/128|135/128]]
| | [[135/128|135/128]]
| | 92.179
| | 92.179
|yy1
| | '''[[25/24|25/24]]'''
| | '''[[25/24|25/24]]'''
| | '''70.672'''
| | '''70.672'''
|-
|-
|sw2
|small wa 2nd
| | [[256/243|256/243]]
| | [[256/243|256/243]]
| | 90.225
| | 90.225
| | minor 2nd
| | minor 2nd
| | Db
| | Db
|g2
|gu 2nd
| | '''[[16/15|16/15]]'''
| | '''[[16/15|16/15]]'''
| | '''111.731'''
| | '''111.731'''
|gg2
| | [[27/25|27/25]]
| | [[27/25|27/25]]
| | 133.238
| | 133.238
|-
|-
|w2
|wa 2nd
| | '''[[9/8|9/8]]'''
| | '''[[9/8|9/8]]'''
| | '''203.910'''
| | '''203.910'''
| | major 2nd
| | major 2nd
| | D
| | D
|y2
|yo 2nd
| | [[10/9|10/9]]
| | [[10/9|10/9]]
| | 182.404
| | 182.404
|syy2
| | [[800/729|800/729]]
| | [[800/729|800/729]]
| | 160.897
| | 160.897
|-
|-
|Lw2
|large wa 2nd
| | [[19683/16384|19683/16384]]
| | [[19683/16384|19683/16384]]
| | 317.595
| | 317.595
| | aug. 2nd
| | aug. 2nd
| | D#
| | D#
|Ly2
|large yo 2nd
| | [[1215/1024|1215/1024]]
| | [[1215/1024|1215/1024]]
| | 296.089
| | 296.089
|yy2
| | '''[[75/64|75/64]]'''
| | '''[[75/64|75/64]]'''
| | '''274.582'''
| | '''274.582'''
|-
|-
|w3
|wa 3rd
| | [[32/27|32/27]]
| | [[32/27|32/27]]
| | 294.135
| | 294.135
| | minor 3rd
| | minor 3rd
| | Eb
| | Eb
|g3
|gu 3rd
| | '''[[6/5|6/5]]'''
| | '''[[6/5|6/5]]'''
| | '''315.641'''
| | '''315.641'''
|gg3
| | [[243/200|243/200]]
| | [[243/200|243/200]]
| | 337.148
| | 337.148
|-
|-
|Lw3
|large wa 3rd
| | [[81/64|81/64]]
| | [[81/64|81/64]]
| | 407.820
| | 407.820
| | major 3rd
| | major 3rd
| | E
| | E
|y3
|yo 3rd
| | '''[[5/4|5/4]]'''
| | '''[[5/4|5/4]]'''
| | '''386.314'''
| | '''386.314'''
|yy3
| | [[100/81|100/81]]
| | [[100/81|100/81]]
| | 364.807
| | 364.807
|-
|-
|sw4
|small wa 4th
| | [[8192/6561|8192/6561]]
| | [[8192/6561|8192/6561]]
| | 384.360
| | 384.360
| | dim. fourth
| | dim. fourth
| | Fb
| | Fb
|sg4
|small gu 4th
| | [[512/405|512/405]]
| | [[512/405|512/405]]
| | 405.866
| | 405.866
|gg4
| | '''[[32/25|32/25]]'''
| | '''[[32/25|32/25]]'''
| | '''427.373'''
| | '''427.373'''
|-
|-
|w4
|wa 4th
| | '''[[4/3|4/3]]'''
| | '''[[4/3|4/3]]'''
| | '''498.045'''
| | '''498.045'''
| | fourth
| | fourth
| | F
| | F
|g4
|gu 4th
| | [[27/20|27/20]]
| | [[27/20|27/20]]
| | 519.551
| | 519.551
|Lgg4
| | [[2187/1600|2187/1600]]
| | [[2187/1600|2187/1600]]
| | 541.058
| | 541.058
|-
|-
|Lw4
|large wa 4th
| | [[729/512|729/512]]
| | [[729/512|729/512]]
| | 611.730
| | 611.730
| | aug. fourth
| | aug. fourth
| | F#
| | F#
|y4
|yo 4th
| | [[45/32|45/32]]
| | [[45/32|45/32]]
| | 590.224
| | 590.224
|yy4
| | '''[[25/18|25/18]]'''
| | '''[[25/18|25/18]]'''
| | '''568.717'''
| | '''568.717'''
|-
|-
|sw5
|small wa 5th
| | [[1024/729|1024/729]]
| | [[1024/729|1024/729]]
| | 588.270
| | 588.270
| | dim. fifth
| | dim. fifth
| | Gb
| | Gb
|g5
|gu 5th
| | [[64/45|64/45]]
| | [[64/45|64/45]]
| | 609.776
| | 609.776
|gg5
| | '''[[36/25|36/25]]'''
| | '''[[36/25|36/25]]'''
| | '''631.283'''
| | '''631.283'''
|-
|-
|w5
|wa 5th
| | '''[[3/2|3/2]]'''
| | '''[[3/2|3/2]]'''
| | '''701.955'''
| | '''701.955'''
| | fifth
| | fifth
| | G
| | G
|y5
|yo 5th
| | [[40/27|40/27]]
| | [[40/27|40/27]]
| | 680.449
| | 680.449
|syy5
| | [[3200/2187|3200/2187]]
| | [[3200/2187|3200/2187]]
| | 658.942
| | 658.942
|-
|-
|Lw5
|large wa 5th
| | [[6561/4096|6561/4096]]
| | [[6561/4096|6561/4096]]
| | 815.640
| | 815.640
| | aug. fifth
| | aug. fifth
| | G#
| | G#
|Ly5
|large yo 5th
| | [[405/256|405/256]]
| | [[405/256|405/256]]
| | 794.134
| | 794.134
|yy5
| | '''[[25/16|25/16]]'''
| | '''[[25/16|25/16]]'''
| | '''772.627'''
| | '''772.627'''
|-
|-
|sw6
|small wa 6th
| | [[128/81|128/81]]
| | [[128/81|128/81]]
| | 792.180
| | 792.180
| | minor 6th
| | minor 6th
| | Ab
| | Ab
|g6
|gu 6th
| | '''[[8/5|8/5]]'''
| | '''[[8/5|8/5]]'''
| | '''813.686'''
| | '''813.686'''
|gg6
| | [[81/50|81/50]]
| | [[81/50|81/50]]
| | 835.193
| | 835.193
|-
|-
|w6
|wa 6th
| | [[27/16|27/16]]
| | [[27/16|27/16]]
| | 905.865
| | 905.865
| | major 6th
| | major 6th
| | A
| | A
|y6
|yo 6th
| | '''[[5/3|5/3]]'''
| | '''[[5/3|5/3]]'''
| | '''884.359'''
| | '''884.359'''
|yy6
| | [[400/243|400/243]]
| | [[400/243|400/243]]
| | 862.852
| | 862.852
|-
|-
|sw7
|small wa 7th
| | [[32768/19683|32768/19683]]
| | [[32768/19683|32768/19683]]
| | 882.405
| | 882.405
| | dim. 7th
| | dim. 7th
| | Bbb
| | Bbb
|sg7
|small gu 7th
| | [[2048/1215|2048/1215]]
| | [[2048/1215|2048/1215]]
| | 903.911
| | 903.911
|gg7
| | '''[[128/75|128/75]]'''
| | '''[[128/75|128/75]]'''
| | '''925.418'''
| | '''925.418'''
|-
|-
|w7
|wa 7th
| | [[16/9|16/9]]
| | [[16/9|16/9]]
| | 996.090
| | 996.090
| | minor 7th
| | minor 7th
| | Bb
| | Bb
|g7
|gu 7th
| | '''[[9/5|9/5]]'''
| | '''[[9/5|9/5]]'''
| | '''1017.596'''
| | '''1017.596'''
|Lgg7
| | [[729/400|729/400]]
| | [[729/400|729/400]]
| | 1039.103
| | 1039.103
|-
|-
|Lw7
|large wa 7th
| | [[243/128|243/128]]
| | [[243/128|243/128]]
| | 1109.775
| | 1109.775
| | major 7th
| | major 7th
| | B
| | B
|y7
|yo 7th
| | '''[[15/8|15/8]]'''
| | '''[[15/8|15/8]]'''
| | '''1088.269'''
| | '''1088.269'''
|yy7
| | [[50/27|50/27]]
| | [[50/27|50/27]]
| | 1066.762
| | 1066.762
|-
|-
|sw8
|small wa 8ve
| | [[4096/2187|4096/2187]]
| | [[4096/2187|4096/2187]]
| | 1086.315
| | 1086.315
| | dim. octave
| | dim. octave
| | Cb
| | Cb
|sg8
|small gu 8ve
| | [[256/135|256/135]]
| | [[256/135|256/135]]
| | 1107.821
| | 1107.821
|gg8
| | '''[[48/25|48/25]]'''
| | '''[[48/25|48/25]]'''
| | '''1129.328'''
| | '''1129.328'''
|-
|-
|w8
|wa 8ve
| | '''[[2/1|2/1]]'''
| | '''[[2/1|2/1]]'''
| | '''1200.000'''
| | '''1200.000'''
| | octave
| | octave
| | C
| | C
|y8
|yo 8ve
| | [[160/81|160/81]]
| | [[160/81|160/81]]
| | 1178.494
| | 1178.494
|syy8
| | [[12800/6561|12800/6561]]
| | [[12800/6561|12800/6561]]
| | 1156.987
| | 1156.987
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