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| Line 28: |
Line 28: |
| == Intervals == | | == Intervals == |
| The distance from C to C♯ is 3 edosteps (or keys, frets). Thus one edostep equals one third of a sharp. | | The distance from C to C♯ is 3 edosteps (or keys, frets). Thus one edostep equals one third of a sharp. |
| {| class="wikitable center-all right-2 left-3" | | {{Interval table}} |
| |-
| |
| ! #
| |
| ! Cents
| |
| ! Approximate 17-limit Ratios
| |
| ! colspan="3" | [[Ups and Downs Notation]]
| |
| |-
| |
| | 0
| |
| | 0.000
| |
| | 1/1
| |
| | P1
| |
| | perfect unison
| |
| | D
| |
| |-
| |
| | 1
| |
| | 27.907
| |
| | ''36/35'', 50/49, 64/63, 65/64, 66/65
| |
| | ^1, d2
| |
| | up unison, dim 2nd
| |
| | ^D, Ebb
| |
| |-
| |
| | 2
| |
| | 55.814
| |
| | ''49/48'', 33/32
| |
| | vA1, ^d2
| |
| | downaug unison, updim 2nd
| |
| | vD#, ^Ebb
| |
| |-
| |
| | 3
| |
| | 83.721
| |
| | 25/24, 21/20, ''28/27'', 22/21, ''18/17''
| |
| | A1, vm2
| |
| | aug 1sn, downminor 2nd
| |
| | D#, vEb
| |
| |-
| |
| | 4
| |
| | 111.628
| |
| | 16/15, 15/14, 17/16
| |
| | m2
| |
| | minor 2nd
| |
| | Eb
| |
| |-
| |
| | 5
| |
| | 139.535
| |
| | 12/11, 13/12, 14/13
| |
| | ^m2
| |
| | upminor 2nd
| |
| | ^Eb
| |
| |-
| |
| | 6
| |
| | 167.442
| |
| | 11/10
| |
| | vM2
| |
| | downmajor 2nd
| |
| | vE
| |
| |-
| |
| | 7
| |
| | 195.349
| |
| | 9/8, 10/9
| |
| | M2
| |
| | major 2nd
| |
| | E
| |
| |-
| |
| | 8
| |
| | 223.256
| |
| | 8/7
| |
| | ^M2, d3
| |
| | upmajor 2nd, dim 3rd
| |
| | ^E, Fb
| |
| |-
| |
| | 9
| |
| | 251.163
| |
| | 15/13
| |
| | vA2, ^d3
| |
| | downaug 2nd, updim 3rd
| |
| | vE#, ^Fb
| |
| |-
| |
| | 10
| |
| | 279.070
| |
| | 7/6, 13/11
| |
| | A2, vm3
| |
| | aug 2nd, downminor 3rd
| |
| | E#, vF
| |
| |-
| |
| | 11
| |
| | 306.977
| |
| | 6/5
| |
| | m3
| |
| | minor 3rd
| |
| | F
| |
| |-
| |
| | 12
| |
| | 334.884
| |
| | 39/32, 17/14
| |
| | ^m3
| |
| | upminor 3rd
| |
| | ^F
| |
| |-
| |
| | 13
| |
| | 362.791
| |
| | 16/13, 21/17, ''11/9''
| |
| | vM3
| |
| | downmajor 3rd
| |
| | vF#
| |
| |-
| |
| | 14
| |
| | 390.698
| |
| | 5/4
| |
| | M3
| |
| | major 3rd
| |
| | F#
| |
| |-
| |
| | 15
| |
| | 418.605
| |
| | ''9/7'', 14/11
| |
| | ^M3, d4
| |
| | upmajor 3rd, dim 4th
| |
| | ^F#, Gb
| |
| |-
| |
| | 16
| |
| | 446.512
| |
| | 13/10
| |
| | vA3, ^d4
| |
| | downaug 3rd, updim 4th
| |
| | vFx, ^Gb
| |
| |-
| |
| | 17
| |
| | 474.419
| |
| | 21/16
| |
| | v4
| |
| | down 4th
| |
| | vG
| |
| |-
| |
| | 18
| |
| | 502.326
| |
| | 4/3
| |
| | P4
| |
| | perfect 4th
| |
| | G
| |
| |-
| |
| | 19
| |
| | 530.233
| |
| | 15/11
| |
| | ^4
| |
| | up 4th
| |
| | ^G
| |
| |-
| |
| | 20
| |
| | 558.140
| |
| | 11/8, 18/13
| |
| | vA4
| |
| | downaug 4th
| |
| | vG#
| |
| |-
| |
| | 21
| |
| | 586.047
| |
| | 45/32, 7/5, 24/17
| |
| | A4, vd5
| |
| | aug 4th, downdim 5th
| |
| | G#, ^Ab
| |
| |-
| |
| | 22
| |
| | 613.953
| |
| | 64/45, 10/7, 17/12
| |
| | ^A4, d5
| |
| | upaug 4th, dim 5th
| |
| | ^G#, Ab
| |
| |-
| |
| | 23
| |
| | 641.860
| |
| | 16/11, 13/9
| |
| | ^d5
| |
| | updim 5th
| |
| | ^Ab
| |
| |-
| |
| | 24
| |
| | 669.767
| |
| | 22/15
| |
| | v5
| |
| | down 5th
| |
| | vA
| |
| |-
| |
| | 25
| |
| | 697.674
| |
| | 3/2
| |
| | P5
| |
| | perfect 5th
| |
| | A
| |
| |-
| |
| | 26
| |
| | 725.581
| |
| | 32/21
| |
| | ^5
| |
| | up 5th
| |
| | ^A
| |
| |-
| |
| | 27
| |
| | 753.488
| |
| | 20/13
| |
| | vA5, ^d6
| |
| | downaug 5th, updim 6th
| |
| | vA#, ^Bbb
| |
| |-
| |
| | 28
| |
| | 781.395
| |
| | ''14/9'', 11/7
| |
| | A5, vm6
| |
| | aug 5th, downminor 6th
| |
| | A#, vBb
| |
| |-
| |
| | 29
| |
| | 809.302
| |
| | 8/5
| |
| | m6
| |
| | minor 6th
| |
| | Bb
| |
| |-
| |
| | 30
| |
| | 837.209
| |
| | 13/8, 34/21, ''18/11''
| |
| | ^m6
| |
| | upminor 6th
| |
| | ^Bb
| |
| |-
| |
| | 31
| |
| | 865.116
| |
| | 64/39, 28/17
| |
| | vM6
| |
| | downmajor 6th
| |
| | vB
| |
| |-
| |
| | 32
| |
| | 893.023
| |
| | 5/3
| |
| | M6
| |
| | major 6th
| |
| | B
| |
| |-
| |
| | 33
| |
| | 920.930
| |
| | 12/7, 22/13
| |
| | ^M6, d7
| |
| | upmajor 6th, dim 7th
| |
| | ^B, Cb
| |
| |-
| |
| | 34
| |
| | 948.837
| |
| | 26/15
| |
| | vA6, ^d7
| |
| | downaug 6th, updim 7th
| |
| | vB#, ^Cb
| |
| |-
| |
| | 35
| |
| | 976.744
| |
| | 7/4
| |
| | A6, vm7
| |
| | aug 6th, downminor 7th
| |
| | B#, vC
| |
| |-
| |
| | 36
| |
| | 1004.651
| |
| | 16/9, 9/5
| |
| | m7
| |
| | minor 7th
| |
| | C
| |
| |-
| |
| | 37
| |
| | 1032.558
| |
| | 20/11
| |
| | ^m7
| |
| | upminor 7th
| |
| | ^C
| |
| |-
| |
| | 38
| |
| | 1060.465
| |
| | 11/6, 24/13, 13/7
| |
| | vM7
| |
| | downmajor 7th
| |
| | vC#
| |
| |-
| |
| | 39
| |
| | 1088.372
| |
| | 15/8, 28/15, 32/17
| |
| | M7
| |
| | major 7th
| |
| | C#
| |
| |-
| |
| | 40
| |
| | 1116.279
| |
| | 48/25, 40/21, ''27/14'', 21/11, ''17/9''
| |
| | ^M7, d8
| |
| | upmajor 7th, dim 8ve
| |
| | ^C#, Db
| |
| |-
| |
| | 41
| |
| | 1144.186
| |
| | ''96/49'', 64/33
| |
| | vA7, ^d8
| |
| | downaug 7th, updim 8ve
| |
| | vCx, ^Db
| |
| |-
| |
| | 42
| |
| | 1172.093
| |
| | ''35/18'', 49/25, 63/32, 65/33, 128/65
| |
| | A7, v8
| |
| | aug 7th, down 8ve
| |
| | Cx, vD
| |
| |-
| |
| | 43
| |
| | 1200.000
| |
| | 2/1
| |
| | P8
| |
| | perfect 8ve
| |
| | D
| |
| |}
| |
|
| |
|
| 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]]. |