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5-limit: Difference between revisions

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autopatrolled, Sysops
4,192 edits
→Syntonic comma pairs: completed the table
Line 12: Line 12:
{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" rowspan="2" | interval
category
! colspan="4" | wa (3-limit) interval
! colspan="4" | wa (3-limit) interval
! colspan="2" | interval category
! colspan="4" | 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)
! colspan="4" | yoyo or gugu interval (6561/6400)
|-
|-
! ratio
! ratio
! cents
! cents
! colspan="2" |[[Kite's color notation|Color name]]
! colspan="2" |[[Kite's color notation|Color name]]
!
!
! ratio
! ratio
! cents
! cents
Line 27: Line 26:
! ratio
! ratio
! cents
! cents
! [[Kite's color notation|Color]]
! colspan="2" | [[Kite's color notation|Color name]]
|-
|-
| unison
| C
| '''[[1/1]]'''
| '''[[1/1]]'''
| '''0.000'''
| '''0.000'''
| w1
| w1
| wa unison
| wa unison
| unison
| C
| [[81/80]]
| [[81/80]]
| 21.506
| 21.506
Line 42: Line 41:
| 43.013
| 43.013
| Lgg1
| Lgg1
|lagugu 1sn
|-
|-
| aug. 1sn
| C#
| [[2187/2048]]
| [[2187/2048]]
| 113.685
| 113.685
| Lw1
| Lw1
| lawa 1sn
| lawa 1sn
| aug. unison
|  C#
| [[135/128]]
| [[135/128]]
| 92.179
| 92.179
Line 56: Line 56:
| '''70.672'''
| '''70.672'''
| yy1
| yy1
|yoyo 1sn
|-
|-
| minor 2nd
| Db
| [[256/243]]
| [[256/243]]
| 90.225
| 90.225
| sw2
| sw2
| sawa 2nd
| sawa 2nd
| minor 2nd
| Db
| '''[[16/15]]'''
| '''[[16/15]]'''
| '''111.731'''
| '''111.731'''
Line 70: Line 71:
| 133.238
| 133.238
| gg2
| gg2
|gugu 2nd
|-
|-
| major 2nd
| D
| '''[[9/8]]'''
| '''[[9/8]]'''
| '''203.910'''
| '''203.910'''
| w2
| w2
| wa 2nd
| wa 2nd
| major 2nd
| D
| [[10/9]]
| [[10/9]]
| 182.404
| 182.404
Line 84: Line 86:
| 160.897
| 160.897
| syy2
| syy2
|sayoyo 2nd
|-
|-
| aug. 2nd
| D#
| [[19683/16384]]
| [[19683/16384]]
| 317.595
| 317.595
| Lw2
| Lw2
| lawa 2nd
| lawa 2nd
| aug. 2nd
| D#
| [[1215/1024]]
| [[1215/1024]]
| 296.089
| 296.089
Line 98: Line 101:
| '''274.582'''
| '''274.582'''
| yy2
| yy2
|yoyo 2nd
|-
|-
| minor 3rd
| Eb
| [[32/27]]
| [[32/27]]
| 294.135
| 294.135
| w3
| w3
| wa 3rd
| wa 3rd
| minor 3rd
| Eb
| '''[[6/5]]'''
| '''[[6/5]]'''
| '''315.641'''
| '''315.641'''
Line 112: Line 116:
| 337.148
| 337.148
| gg3
| gg3
|gugu 3rd
|-
|-
| major 3rd
| E
| [[81/64]]
| [[81/64]]
| 407.820
| 407.820
| Lw3
| Lw3
| lawa 3rd
| lawa 3rd
| major 3rd
| E
| '''[[5/4]]'''
| '''[[5/4]]'''
| '''386.314'''
| '''386.314'''
Line 126: Line 131:
| 364.807
| 364.807
| yy3
| yy3
|yoyo 3rd
|-
|-
| dim. 4th
| Fb
| [[8192/6561]]
| [[8192/6561]]
| 384.360
| 384.360
| sw4
| sw4
| sawa 4th
| sawa 4th
| dim. fourth
| Fb
| [[512/405]]
| [[512/405]]
| 405.866
| 405.866
Line 140: Line 146:
| '''427.373'''
| '''427.373'''
| gg4
| gg4
|gugu 4th
|-
|-
| 4th
| F
| '''[[4/3]]'''
| '''[[4/3]]'''
| '''498.045'''
| '''498.045'''
| w4
| w4
| wa 4th
| wa 4th
| fourth
| F
| [[27/20]]
| [[27/20]]
| 519.551
| 519.551
Line 154: Line 161:
| 541.058
| 541.058
| Lgg4
| Lgg4
|lagugu 4th
|-
|-
| aug. 4th
| F#
| [[729/512]]
| [[729/512]]
| 611.730
| 611.730
| Lw4
| Lw4
| lawa 4th
| lawa 4th
| aug. fourth
| F#
| [[45/32]]
| [[45/32]]
| 590.224
| 590.224
Line 168: Line 176:
| '''568.717'''
| '''568.717'''
| yy4
| yy4
|yoyo 4th
|-
|-
| dim. 5th
| Gb
| [[1024/729]]
| [[1024/729]]
| 588.270
| 588.270
| sw5
| sw5
| sawa 5th
| sawa 5th
| dim. fifth
| Gb
| [[64/45]]
| [[64/45]]
| 609.776
| 609.776
Line 182: Line 191:
| '''631.283'''
| '''631.283'''
| gg5
| gg5
|gugu 5th
|-
|-
| 5th
| G
| '''[[3/2]]'''
| '''[[3/2]]'''
| '''701.955'''
| '''701.955'''
| w5
| w5
| wa 5th
| wa 5th
| fifth
| G
| [[40/27]]
| [[40/27]]
| 680.449
| 680.449
Line 196: Line 206:
| 658.942
| 658.942
| syy5
| syy5
|sayoyo 5th
|-
|-
| aug. fifth
| G#
| [[6561/4096]]
| [[6561/4096]]
| 815.640
| 815.640
| Lw5
| Lw5
| lawa 5th
| lawa 5th
| aug. fifth
| G#
| [[405/256]]
| [[405/256]]
| 794.134
| 794.134
Line 210: Line 221:
| '''772.627'''
| '''772.627'''
| yy5
| yy5
|yoyo 5th
|-
|-
| minor 6th
| Ab
| [[128/81]]
| [[128/81]]
| 792.180
| 792.180
| sw6
| sw6
| sawa 6th
| sawa 6th
| minor 6th
| Ab
| '''[[8/5]]'''
| '''[[8/5]]'''
| '''813.686'''
| '''813.686'''
Line 224: Line 236:
| 835.193
| 835.193
| gg6
| gg6
|gugu 6th
|-
|-
| major 6th
| A
| [[27/16]]
| [[27/16]]
| 905.865
| 905.865
| w6
| w6
| wa 6th
| wa 6th
| major 6th
| A
| '''[[5/3]]'''
| '''[[5/3]]'''
| '''884.359'''
| '''884.359'''
Line 238: Line 251:
| 862.852
| 862.852
| yy6
| yy6
|yoyo 6th
|-
|-
| dim. 7th
| Bbb
| [[32768/19683]]
| [[32768/19683]]
| 882.405
| 882.405
| sw7
| sw7
| sawa 7th
| sawa 7th
| dim. 7th
| Bbb
| [[2048/1215]]
| [[2048/1215]]
| 903.911
| 903.911
Line 252: Line 266:
| '''925.418'''
| '''925.418'''
| gg7
| gg7
|gugu 7th
|-
|-
| minor 7th
| Bb
| [[16/9]]
| [[16/9]]
| 996.090
| 996.090
| w7
| w7
| wa 7th
| wa 7th
| minor 7th
| Bb
| '''[[9/5]]'''
| '''[[9/5]]'''
| '''1017.596'''
| '''1017.596'''
Line 266: Line 281:
| 1039.103
| 1039.103
| Lgg7
| Lgg7
|lagugu 7th
|-
|-
| major 7th
| B
| [[243/128]]
| [[243/128]]
| 1109.775
| 1109.775
| Lw7
| Lw7
| lawa 7th
| lawa 7th
| major 7th
| B
| '''[[15/8]]'''
| '''[[15/8]]'''
| '''1088.269'''
| '''1088.269'''
Line 280: Line 296:
| 1066.762
| 1066.762
| yy7
| yy7
|yoyo 7th
|-
|-
| dim. 8ve
| Cb
| [[4096/2187]]
| [[4096/2187]]
| 1086.315
| 1086.315
| sw8
| sw8
| sawa 8ve
| sawa 8ve
| dim. octave
| Cb
| [[256/135]]
| [[256/135]]
| 1107.821
| 1107.821
Line 294: Line 311:
| '''1129.328'''
| '''1129.328'''
| gg8
| gg8
|gugu 8ve
|-
|-
| octave
| C
| '''[[2/1]]'''
| '''[[2/1]]'''
| '''1200.000'''
| '''1200.000'''
| w8
| w8
| wa 8ve
| wa 8ve
| octave
| C
| [[160/81]]
| [[160/81]]
| 1178.494
| 1178.494
Line 308: Line 326:
| 1156.987
| 1156.987
| syy8
| syy8
|sayoyo 8ve
|}
|}


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