39edo: Difference between revisions

Consolidate sections
m Intervals: -typo, reduce cent values to one decimal place, and cleanup
Line 30: Line 30:
! Cents
! Cents
! Approximate ratios*
! Approximate ratios*
! colspan="3" | [[Ups and downs dotation]]
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Nearest just interval]]<br />(Ratio, Cents, Error)
! colspan="3" | [[Nearest just interval]]<br>(Ratio, cents, error)
|-
|-
| 0
| 0
| 0.00
| 0.0
| [[1/1]]
| [[1/1]]
| P1
| P1
Line 44: Line 44:
|-
|-
| 1
| 1
| 30.77
| 30.8
| ''[[36/35]]'', [[50/49]], [[55/54]], [[56/55]], [[81/80]]
| ''[[36/35]]'', [[50/49]], [[55/54]], [[56/55]], [[81/80]]
| ^1,<br />vm2
| ^1,<br>vm2
| up unison, <br />downminor 2nd
| up unison, <br>downminor 2nd
| ^D, <br />vEb
| ^D, <br>vEb
| 57/56
| 57/56
| 30.64
| 30.64
Line 54: Line 54:
|-
|-
| 2
| 2
| 61.54
| 61.5
| [[28/27]], [[33/32]], ''[[49/48]]''
| [[28/27]], [[33/32]], ''[[49/48]]''
| m2
| m2
Line 64: Line 64:
|-
|-
| 3
| 3
| 92.31
| 92.3
| ''[[16/15]]'', [[21/20]], ''[[25/24]]''
| ''[[16/15]]'', [[21/20]], ''[[25/24]]''
| ^m2
| ^m2
Line 74: Line 74:
|-
|-
| 4
| 4
| 123.08
| 123.1
| [[15/14]]
| [[15/14]]
| ^^m2
| ^^m2
Line 84: Line 84:
|-
|-
| 5
| 5
| 153.85
| 153.8
| [[11/10]], [[12/11]]
| [[11/10]], [[12/11]]
| vvM2
| vvM2
Line 94: Line 94:
|-
|-
| 6
| 6
| 184.62
| 184.6
| [[10/9]]
| [[10/9]]
| vM2
| vM2
Line 104: Line 104:
|-
|-
| 7
| 7
| 215.38
| 215.4
| [[9/8]], ''[[8/7]]''
| [[9/8]], ''[[8/7]]''
| M2
| M2
Line 114: Line 114:
|-
|-
| 8
| 8
| 246.15
| 246.2
| [[81/70]]
| [[81/70]]
| ^M2, <br />vm3
| ^M2, <br>vm3
| upmajor 2nd, <br />downminor 3rd
| upmajor 2nd, <br>downminor 3rd
| ^E, <br />vF
| ^E, <br>vF
| 15/13
| 15/13
| 247.74
| 247.74
Line 124: Line 124:
|-
|-
| 9
| 9
| 276.92
| 276.9
| [[7/6]]
| [[7/6]]
| m3
| m3
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|-
|-
| 10
| 10
| 307.69
| 307.7
| [[6/5]]
| [[6/5]]
| ^m3
| ^m3
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|-
|-
| 11
| 11
| 338.46
| 338.5
| [[11/9]]
| [[11/9]]
| ^^m3
| ^^m3
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|-
|-
| 12
| 12
| 369.23
| 369.2
| [[27/22]]
| [[27/22]]
| vvM3
| vvM3
Line 164: Line 164:
|-
|-
| 13
| 13
| 400.00
| 400.0
| [[5/4]]
| [[5/4]]
| vM3
| vM3
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|-
|-
| 14
| 14
| 430.77
| 430.8
| [[9/7]], [[14/11]]
| [[9/7]], [[14/11]]
| M3
| M3
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|-
|-
| 15
| 15
| 461.54
| 461.5
| [[35/27]]
| [[35/27]]
| v4
| v4
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|-
|-
| 16
| 16
| 492.31
| 492.3
| [[4/3]]
| [[4/3]]
| P4
| P4
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|-
|-
| 17
| 17
| 523.08
| 523.1
| [[27/20]]
| [[27/20]]
| ^4
| ^4
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|-
|-
| 18
| 18
| 553.85
| 553.8
| [[11/8]]
| [[11/8]]
| ^^4
| ^^4
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|-
|-
| 19
| 19
| 584.62
| 584.6
| [[7/5]]
| [[7/5]]
| vvA4, <br />^d5
| vvA4, <br>^d5
| dudaug 4th, <br />updim 5th
| dudaug 4th, <br>updim 5th
| vvG#, <br />^Ab
| vvG#, <br>^Ab
| 7/5
| 7/5
| 582.51
| 582.51
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|-
|-
| 20
| 20
| 615.38
| 615.4
| [[10/7]]
| [[10/7]]
| vA4, <br />^^d5
| vA4, <br>^^d5
| downaug 4th, <br />dupdim 5th
| downaug 4th, <br>dupdim 5th
| vG#, <br />^^Ab
| vG#, <br>^^Ab
| 10/7
| 10/7
| 617.49
| 617.49
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|-
|-
| 21
| 21
| 646.15
| 646.2
| [[16/11]]
| [[16/11]]
| vv5
| vv5
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|-
|-
| 22
| 22
| 676.92
| 676.9
| [[40/27]]
| [[40/27]]
| v5
| v5
Line 264: Line 264:
|-
|-
| 23
| 23
| 707.69
| 707.7
| [[3/2]]
| [[3/2]]
| P5
| P5
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|-
|-
| 24
| 24
| 738.46
| 738.5
| [[54/35]]
| [[54/35]]
| ^5
| ^5
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|-
|-
| 25
| 25
| 769.23
| 769.2
| [[11/7]], [[14/9]]
| [[11/7]], [[14/9]]
| m6
| m6
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|-
|-
| 26
| 26
| 800.00
| 800.0
| [[8/5]]
| [[8/5]]
| ^m6
| ^m6
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|-
|-
| 27
| 27
| 830.77
| 830.8
| [[44/27]]
| [[44/27]]
| ^^m6
| ^^m6
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|-
|-
| 28
| 28
| 861.54
| 861.5
| [[18/11]]
| [[18/11]]
| vvM6
| vvM6
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|-
|-
| 29
| 29
| 892.31
| 892.3
| [[5/3]]
| [[5/3]]
| vM6
| vM6
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|-
|-
| 30
| 30
| 923.08
| 923.1
| [[12/7]]
| [[12/7]]
| M6
| M6
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|-
|-
| 31
| 31
| 953.85
| 953.8
| [[140/81]]
| [[140/81]]
| ^M6, <br />vm7
| ^M6, <br>vm7
| upmajor 6th, <br />downminor 7th
| upmajor 6th, <br>downminor 7th
| ^B, <br />vC
| ^B, <br>vC
| 26/15
| 26/15
| 952.26
| 952.26
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|-
|-
| 32
| 32
| 984.62
| 984.6
| ''[[7/4]]'', [[16/9]]
| ''[[7/4]]'', [[16/9]]
| m7
| m7
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|-
|-
| 33
| 33
| 1015.38
| 1015.4
| [[9/5]]
| [[9/5]]
| ^m7
| ^m7
Line 374: Line 374:
|-
|-
| 34
| 34
| 1046.15
| 1046.2
| [[11/6]], [[20/11]]
| [[11/6]], [[20/11]]
| ^^m7
| ^^m7
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|-
|-
| 35
| 35
| 1076.92
| 1076.9
| [[28/15]]
| [[28/15]]
| vvM7
| vvM7
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|-
|-
| 36
| 36
| 1107.69
| 1107.7
| ''[[15/8]]'', [[40/21]], ''[[48/25]]''
| ''[[15/8]]'', [[40/21]], ''[[48/25]]''
| vM7
| vM7
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|-
|-
| 37
| 37
| 1138.46
| 1138.5
| [[27/14]], ''[[96/49]]'', [[64/33]]
| [[27/14]], ''[[96/49]]'', [[64/33]]
| M7
| M7
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|-
|-
| 38
| 38
| 1169.23
| 1169.2
| ''[[35/18]]'', [[49/25]], [[55/28]], [[108/55]], [[160/81]]
| ''[[35/18]]'', [[49/25]], [[55/28]], [[108/55]], [[160/81]]
| ^M7,<br />v8
| ^M7,<br>v8
| upmajor 7th,<br />down 8ve
| upmajor 7th,<br>down 8ve
| ^C#, <br />vD
| ^C#, <br>vD
| 112/57
| 112/57
| 1169.36
| 1169.36
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|-
|-
| 39
| 39
| 1200.00
| 1200.0
| [[2/1]]
| [[2/1]]
| P8
| P8
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| None
| None
|}
|}
<nowiki />* 11-limit in the 39d val, inconsistent intervals in ''italic''
<nowiki/>* 11-limit in the 39d val, inconsistent intervals in ''italic''


Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and Downs Notation #Chords and Chord Progressions]].
Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and downs notation #Chords and chord progressions]].


== Notation ==
== Notation ==