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23edo: Difference between revisions

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autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
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m →Music: corrected: it's 6 actually instead of 5 pieces
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
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→Notation: separated dots in own column, shortened table (in wikitext, less scrolling needed) by placing some cells side by side
Line 74: Line 74:
Armodue notation is a nonatonic notation that uses the numbers 1-9 as note names.
Armodue notation is a nonatonic notation that uses the numbers 1-9 as note names.


{| class="wikitable center-all left-9 right-2"
{| class="wikitable center-all right-1 right-3 left-10"
|-
|-
! [[Degree]] <ref>The dots indicate which frets on a 23-edo guitar would have dots.</ref>
! colspan="2" | [[Degree]] <ref>The dots indicate which frets on a 23-edo guitar would have dots.</ref>
! [[Cent]]s
! [[Cent]]s
! Approximate <br> Ratios <ref>Based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.</ref>
! Approximate <br> Ratios <ref>Based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.</ref>
Line 84: Line 84:
! Notes
! Notes
|-
|-
| 0
| 0 ||
| 0.000
| 0.000
| 1/1
| 1/1
| P1
| P1 || D
| D
| P1 || D
| P1
| D
| 1
| 1
|
|
|-
|-
| 1
| 1 ||
| 52.174
| 52.174
| 33/32, 34/33
| 33/32, 34/33
| A1
| A1 || D#
| D#
| d1 || Db
| d1
| Db
| 2b
| 2b
|
|
|-
|-
| 2
| 2 ||
| 104.348
| 104.348
| 17/16, 16/15, 18/17
| 17/16, 16/15, 18/17
| d2
| d2 || Eb
| Eb
| A2 || E#
| A2
| E#
| 1#
| 1#
| Less than 1 cent off 17/16
| Less than 1 cent off [[17/16]]
|-
|-
| 3
| 3 ||
| 156.522
| 156.522
| 11/10, 12/11, 35/32
| 11/10, 12/11, 35/32
| m2
| m2 || E
| E
| M2 || E
| M2
| E
| 2
| 2
|
|
|-
|-
| 4·
| 4 || &bull;
| 208.696
| 208.696
| 9/8, 44/39
| 9/8, 44/39
| M2
| M2 || E#
| E#
| m2 || Eb
| m2
| Eb
| 3b
| 3b
|
|
|-
|-
| 5
| 5 ||
| 260.870
| 260.870
| 7/6, 15/13, 29/25
| 7/6, 15/13, 29/25
| A2, d3
| A2, d3 || Ex, Fbb
| Ex, Fbb
| d2, A3 || Ebb, Fx
| d2, A3
| Ebb, Fx
| 2#
| 2#
|
|
|-
|-
| 6
| 6 ||
| 313.043
| 313.043
| 6/5
| 6/5
| m3
| m3 || Fb
| Fb
| M3 || F#
| M3
| F#
| 3
| 3
| Much better 6/5 than 12-edo
| Much better [[6/5]] than 12-edo
|-
|-
| 7·
| 7 || &bull;
| 365.217
| 365.217
| 16/13, 21/17, 26/21
| 16/13, 21/17, 26/21
| M3
| M3 || F
| F
| m3 || F
| m3
| F
| 4b
| 4b
|
|
|-
|-
| 8
| 8 ||
| 417.391
| 417.391
| 14/11, 33/26
| 14/11, 33/26
| A3
| A3 || F#
| F#
| d3 || Fb
| d3
| Fb
| 3#
| 3#
| Practically just 14/11
| Practically just [[14/11]]
|-
|-
| 9
| 9 ||
| 469.565
| 469.565
| 21/16, 17/13
| 21/16, 17/13
| d4
| d4 || Gb
| Gb
| A4 || G#
| A4
| G#
| 4
| 4
|
|
|-
|-
| 10·
| 10 || &bull;
| 521.739
| 521.739
| 23/17, 88/65, 256/189
| 23/17, 88/65, 256/189
| P4
| P4 || G
| G
| P4 || G
| P4
| G
| 5
| 5
|
|
|-
|-
| 11
| 11 ||
| 573.913
| 573.913
| 7/5, 32/23, 46/33
| 7/5, 32/23, 46/33
| A4
| A4 || G#
| G#
| d4 || Gb
| d4
| Gb
| 6b
| 6b
|
|
|-
|-
| 12
| 12 ||
| 626.087
| 626.087
| 10/7, 23/16, 33/23
| 10/7, 23/16, 33/23
| d5
| d5 || Ab
| Ab
| A5 || A#
| A5
| A#
| 5#
| 5#
|
|
|-
|-
| 13·
| 13 || &bull;
| 678.261
| 678.261
| 34/23, 65/44, 189/128
| 34/23, 65/44, 189/128
| P5
| P5 || A
| A
| P5 || A
| P5
| A
| 6
| 6
| Great Hornbostel generator
| Great Hornbostel generator
|-
|-
| 14
| 14 ||
| 730.435
| 730.435
| 32/21, 26/17
| 32/21, 26/17
| A5
| A5 || A#
| A#
| d5 || Ab
| d5
| Ab
| 7b
| 7b
|
|
|-
|-
| 15
| 15 ||
| 782.609
| 782.609
| 11/7, 52/33
| 11/7, 52/33
| d6
| d6 || Bb
| Bb
| A6 || B#
| A6
| B#
| 6#
| 6#
|
| Practically just [[11/7]]
|-
|-
| 16·
| 16 || &bull;
| 834.783
| 834.783
| 13/8, 34/21, 21/13
| 13/8, 34/21, 21/13
| m6
| m6 || B
| B
| M6 || B
| M6
| B
| 7
| 7
|
|
|-
|-
| 17
| 17 ||
| 886.957
| 886.957
| 5/3
| 5/3
| M6
| M6 || B#
| B#
| m6 || Bb
| m6
| Bb
| 8b
| 8b
|
| Much better [[5/3]] than 12-edo
|-
|-
| 18
| 18 ||
| 939.130
| 939.130
| 12/7, 26/15, 50/29
| 12/7, 26/15, 50/29
| A6, d7
| A6, d7 || Bx, Cbb
| Bx, Cbb
| d6, A7 || Bbb, Cx
| d6, A7
| Bbb, Cx
| 7#
| 7#
|
|
|-
|-
| 19·
| 19 || &bull;
| 991.304
| 991.304
| 16/9, 39/22
| 16/9, 39/22
| m7
| m7 || Cb
| Cb
| M7 || C#
| M7
| C#
| 8
| 8
|
|
|-
|-
| 20
| 20 ||
| 1043.478
| 1043.478
| 11/6, 20/11, 64/35
| 11/6, 20/11, 64/35
| M7
| M7 || C
| C
| m7 || C
| m7
| C
| 9b
| 9b
|
|
|-
|-
| 21
| 21 ||
| 1095.652
| 1095.652
| 15/8, 17/9, 32/17
| 15/8, 17/9, 32/17
| A7
| A7 || C#
| C#
| d7 || Cb
| d7
| Cb
| 8#
| 8#
|
| Less than 1 cent off [[32/17]]
|-
|-
| 22
| 22 ||
| 1147.826
| 1147.826
| 33/17, 64/33
| 33/17, 64/33
| d8
| d8 || Db
| Db
| A8 || D#
| A8
| D#
| 9
| 9
|
|
|-
|-
| 23··
| 23 || &bull;&bull;
| 1200.000
| 1200.000
| 2/1
| 2/1
| P8
| P8 || D
| D
| P8 || D
| P8
| D
| 1
| 1
|
|
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