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40edo: Difference between revisions

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BudjarnLambeth (talk | contribs)
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18,215 edits
Undo revision 175006: Reinstate what I added, I was right in the first place, I just got confused by the interval table on the page, looking at the wrong set of vent values
Tag: Undo
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
→Intervals: Restructure table so readers can’t get confused and disoriented like I did
Line 19: Line 19:
! #
! #
! style="text-align:center;" |Cents
! style="text-align:center;" |Cents
! colspan="3" |Notation
! colspan="2" |Approximate ratios
! colspan="2" |Approximate ratios
!Difference
!Difference
!colspan="3" |Notation
|-
|-
|0
!0
|0¢
!0¢
|1:1
|0
|0
|perfect unison
|perfect unison
|P1
|P1
|D
|D
|1:1
|<small>''0''</small>
|0
|-
|-
|1
!1
|30
!30
|59:58
|29.5944
|0.40553
|augmented 1sn
|augmented 1sn
|A1
|A1
|D#
|D#
|59:58
|<small>''29.5944''</small>
|0.40553
|-
|-
|2
!2
|60
!60
|29:28
|60.7512
| -0.75128
|double-aug 1sn
|double-aug 1sn
|AA1
|AA1
|Dx
|Dx
|29:28
|<small>''60.7512''</small>
| -0.75128
|-
|-
|3
!3
|90
!90
|20:19
|88.8006
|1.19930
|double-dim 2nd
|double-dim 2nd
|dd2
|dd2
|D#x, Ebbb
|D#x, Ebbb
|20:19
|<small>''88.8006''</small>
|1.19930
|-
|-
|4
!4
|120
!120
|15:14
|119.4428
|0.55719
|diminished 2nd
|diminished 2nd
|d2
|d2
|Ebb
|Ebb
|15:14
|<small>''119.4428''</small>
|0.55719
|-
|-
|5
!5
|150
!150
|12:11
|150.6370
| -0.63705
|minor 2nd
|minor 2nd
|m2
|m2
|Eb
|Eb
|12:11
|<small>''150.6370''</small>
| -0.63705
|-
|-
|6
!6
|180
!180
|10:9
|182.4037
| -2.40371
|major 2nd
|major 2nd
|M2
|M2
|E
|E
|10:9
|<small>''182.4037''</small>
| -2.40371
|-
|-
|7
!7
|210
!210
|9:8
|203.9100
|6.08999
|augmented 2nd
|augmented 2nd
|A2
|A2
|E#
|E#
|9:8
|<small>''203.9100''</small>
|6.08999
|-
|-
|8
!8
|240
!240
|8:7
|231.1741
|8.82590
|double-aug 2nd
|double-aug 2nd
|AA2
|AA2
|Ex
|Ex
|8:7
|<small>''231.1741''</small>
|8.82590
|-
|-
|9
!9
|270
!270
|7:6
|266.8709
|3.12909
|double-dim 3rd
|double-dim 3rd
|dd3
|dd3
|Fbb
|Fbb
|7:6
|<small>''266.8709''</small>
|3.12909
|-
|-
|10
!10
|300
!300
|19:16
|297.5130
|2.48698
|diminished 3rd
|diminished 3rd
|d3
|d3
|Fb
|Fb
|19:16
|<small>''297.5130''</small>
|2.48698
|-
|-
|11
!11
|330
!330
|6:5
|315.6412
|14.3587
|minor 3rd
|minor 3rd
|m3
|m3
|F
|F
|6:5
|<small>''315.6412''</small>
|14.3587
|-
|-
|12
!12
|360
!360
|16:13
|359.4723
|0.52766
|major 3rd
|major 3rd
|M3
|M3
|F#
|F#
|16:13
|<small>''359.4723''</small>
|0.52766
|-
|-
|13
!13
|390
!390
|5:4
|386.3137
|3.68628
|augmented 3rd
|augmented 3rd
|A3
|A3
|Fx
|Fx
|5:4
|<small>''386.3137''</small>
|3.68628
|-
|-
|14
!14
|420
!420
|14:11
|417.5079
|2.49203
|double-aug 3rd
|double-aug 3rd
|AA3
|AA3
|F#x, Gbbb
|F#x, Gbbb
|14:11
|<small>''417.5079''</small>
|2.49203
|-
|-
|15
!15
|450
!450
|22:17
|446.3625
|3.63746
|double-dim 4th
|double-dim 4th
|dd4
|dd4
|Gbb
|Gbb
|22:17
|<small>''446.3625''</small>
|3.63746
|-
|-
|16
!16
|480
!480
|21:16
|470.781
|9.219
|diminished 4th
|diminished 4th
|d4
|d4
|Gb
|Gb
|21:16
|<small>''470.781''</small>
|9.219
|-
|-
|17
!17
|510
!510
|4:3
|498.0449
|11.9550
|perfect 4th
|perfect 4th
|P4
|P4
|G
|G
|4:3
|<small>''498.0449''</small>
|11.9550
|-
|-
|18
!18
|540
!540
|11:8
|551.3179
| -11.3179
|augmented 4th
|augmented 4th
|A4
|A4
|G#
|G#
|11:8
|<small>''551.3179''</small>
| -11.3179
|-
|-
|19
!19
|570
!570
|25:18
|568.7174
|1.2825
|double-aug 4th
|double-aug 4th
|AA4
|AA4
|G##
|G##
|25:18
|<small>''568.7174''</small>
|1.2825
|-
|-
|20
!20
|600
!600
|7:5
|582.5121
|17.4878
|triple-aug 4th,
|triple-aug 4th,
triple-dim 5th
triple-dim 5th
Line 213: Line 210:
ddd5
ddd5
|Gx#, Abbb
|Gx#, Abbb
|7:5
|<small>''582.5121''</small>
|17.4878
|-
|-
|21
!21
|630
!630
|23:16
|628.2743
|1.72565
|double-dim 5th
|double-dim 5th
|dd5
|dd5
|Abb
|Abb
|23:16
|<small>''628.2743''</small>
|1.72565
|-
|-
|22
!22
|660
!660
|16:11
|648.6820
|11.3179
|diminished 5th
|diminished 5th
|d5
|d5
|Ab
|Ab
|16:11
|<small>''648.6820''</small>
|11.3179
|-
|-
|23
!23
|690
!690
|3:2
|701.9550
| -11.9550
|perfect 5th
|perfect 5th
|P5
|P5
|A
|A
|3:2
|<small>''701.9550''</small>
| -11.9550
|-
|-
|24
!24
|720
!720
|32:21
|729.2191
| -9.219
|augmented 5th
|augmented 5th
|A5
|A5
|A#
|A#
|32:21
|<small>''729.2191''</small>
| -9.219
|-
|-
|25
!25
|750
!750
|17:11
|753.6374
| -3.63746
|double-aug 5th
|double-aug 5th
|AA5
|AA5
|Ax
|Ax
|17:11
|<small>''753.6374''</small>
| -3.63746
|-
|-
|26
!26
|780
!780
|11:7
|782.4920
| -2.49203
|double-dim 6th
|double-dim 6th
|dd6
|dd6
|A#x, Bbbb
|A#x, Bbbb
|11:7
|<small>''782.4920''</small>
| -2.49203
|-
|-
|27
!27
|810
!810
| style="text-align:center;" |8:5
|813.6862
| -3.68628
|diminished 6th
|diminished 6th
|d6
|d6
|Bbb
|Bbb
| style="text-align:center;" |8:5
|<small>''813.6862''</small>
| -3.68628
|-
|-
|28
!28
|840
!840
|13:8
|840.5276
| -0.52766
|minor 6th
|minor 6th
|m6
|m6
|Bb
|Bb
|13:8
|<small>''840.5276''</small>
| -0.52766
|-
|-
|29
!29
|870
!870
| style="text-align:center;" |5:3
|884.3587
| -14.3587
|major 6th
|major 6th
|M6
|M6
|B
|B
| style="text-align:center;" |5:3
|<small>''884.3587''</small>
| -14.3587
|-
|-
|30
!30
|900
!900
| style="text-align:center;" |32:19
|902.4869
| -2.48698
|augmented 6th
|augmented 6th
|A6
|A6
|B#
|B#
| style="text-align:center;" |32:19
|<small>''902.4869''</small>
| -2.48698
|-
|-
|31
!31
|930
!930
| style="text-align:center;" |12:7
|933.1291
| -3.12909
|double-aug 6th
|double-aug 6th
|AA6
|AA6
|Bx
|Bx
| style="text-align:center;" |12:7
|<small>''933.1291''</small>
| -3.12909
|-
|-
|32
!32
|960
!960
| style="text-align:center;" |7:4
|968.8259
| -8.82590
|double-dim 7th
|double-dim 7th
|dd7
|dd7
|Cbb
|Cbb
| style="text-align:center;" |7:4
|<small>''968.8259''</small>
| -8.82590
|-
|-
|33
!33
|990
!990
| style="text-align:center;" |16:9
|996.0899
| -6.08999
|diminished 7th
|diminished 7th
|d7
|d7
|Cb
|Cb
| style="text-align:center;" |16:9
|<small>''996.0899''</small>
| -6.08999
|-
|-
|34
!34
|1020
!1020
| style="text-align:center;" |9:5
|1017.5962
|2.40371
|minor 7th
|minor 7th
|m7
|m7
|C
|C
| style="text-align:center;" |9:5
|<small>''1017.5962''</small>
|2.40371
|-
|-
|35
!35
|1050
!1050
| style="text-align:center;" |11:6
|1049.3629
|0.63705
|major 7th
|major 7th
|M7
|M7
|C#
|C#
| style="text-align:center;" |11:6
|<small>''1049.3629''</small>
|0.63705
|-
|-
|36
!36
|1080
!1080
| style="text-align:center;" |28:15
|1080.5571
| -0.55719
|augmented 7th
|augmented 7th
|A7
|A7
|Cx
|Cx
| style="text-align:center;" |28:15
|<small>''1080.5571''</small>
| -0.55719
|-
|-
|37
!37
|1110
!1110
| style="text-align:center;" |19:10
|1111.1993
| -1.19930
|double-aug 7th
|double-aug 7th
|AA7
|AA7
|C#x, Dbbb
|C#x, Dbbb
| style="text-align:center;" |19:10
|<small>''1111.1993''</small>
| -1.19930
|-
|-
|38
!38
|1140
!1140
| style="text-align:center;" |56:29
|1139.2487
|0.75128
|double-dim 8ve
|double-dim 8ve
|dd8
|dd8
|Dbb
|Dbb
| style="text-align:center;" |56:29
|<small>''1139.2487''</small>
|0.75128
|-
|-
|39
!39
|1170
!1170
| style="text-align:center;" |116:59
|1170.4055
| -0.40553
|diminished 8ve
|diminished 8ve
|d8
|d8
|Db
|Db
| style="text-align:center;" |116:59
|<small>''1170.4055''</small>
| -0.40553
|-
|-
|40
!40
|1200
!1200
| style="text-align:center;" |2:1
|1200
|0
|perfect octave
|perfect octave
|P8
|P8
|D
|D
| style="text-align:center;" |2:1
|<small>''1200''</small>
|0
|}
|}


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