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33edo: Difference between revisions

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Eli5121 (talk | contribs)
29 edits
m Added EDO info box, replaced ups and downs notation with extended pythagorean as ups and downs are redundant, 1 sharp = 1\33 so there was no need for ups and downs and they only made things more confusing
Eli5121 (talk | contribs)
29 edits
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
| rowspan="2" |Step #
! rowspan="2" |Step #
| style="text-align:center;" |ET
! ET
| colspan="2" | Just
! colspan="2" | Just
|Difference <br> (ET minus Just)
! rowspan="2" | Difference <br> (ET minus Just)
| colspan="3" |Extended Pythagorean Notation
! rowspan="2" colspan="3" |Extended Pythagorean Notation
|-
|-
| Cents
! Cents
|Interval
! Interval
|Cents
! Cents
|
|
|
|
|-
|-
|0
| 0
|0¢
| 0¢
|1/1
| [[1/1]]
|0
| 0
|0
| 0
|Perfect Unison
| Perfect Unison
|P1
| P1
|D
| D
|-
|-
| 1
| 1
|36.364
| 36.364
|48/47
| [[48/47]]
|36.448
| 36.448
| -0.084742
| -0.084742
|Augmented Unison
| Augmented Unison
| A1
| A1
|D#
| D#
|-
|-
|2
| 2
|72.727
| 72.727
|24/23
| [[24/23]]
| 73.6806
| 73.6806
|0.95338
| 0.95338
|Double-aug 1sn
| Double-aug 1sn
|AA1
| AA1
|Dx
| Dx
|-
|-
| 3
| 3
|109.091
| 109.091
|16/15
| [[16/15]]
| 111.7312
| 111.7312
|<nowiki>-2.64037</nowiki>
| <nowiki>-2.64037</nowiki>
|Diminished 2nd
| Diminished 2nd
|d2
| d2
|Ebb
| Ebb
|-
|-
|4
| 4
|145.455
| 145.455
|12/11
| [[12/11]]
|150.6371
| 150.6371
|  -5.182513
|  -5.182513
|Minor 2nd
| Minor 2nd
|m2
| m2
|Eb
| Eb
|-
|-
|5
| 5
|181.818
| 181.818
|10/9
| [[10/9]]
|182.4037
| 182.4037
| -0.58553
| -0.58553
|Major 2nd
| Major 2nd
|M2
| M2
| E
| E
|-
|-
|6
| 6
|218.182
| 218.182
|17/15
| [[17/15]]
|216.6866
| 216.6866
|1.49521
| 1.49521
|Augmented 2nd
| Augmented 2nd
|A2
| A2
|E#
| E#
|-
|-
|7
| 7
|254.545
| 254.545
| 15/13
| [[15/13]]
|247.7410
| 247.7410
|6.804401
| 6.804401
|Double-aug 2nd/Double-dim 3rd
| Double-aug 2nd/Double-dim 3rd
|AA2/dd3
| AA2/dd3
|Ex/Fbb
| Ex/Fbb
|-
|-
|8
| 8
|290.909
| 290.909
|13/11
| [[13/11]]
|289.2097
| 289.2097
|1.699371
| 1.699371
|Diminished 3rd
| Diminished 3rd
| d3
| d3
|Fb
| Fb
|-
|-
|9
| 9
|327.273
| 327.273
|6/5
| [[6/5]]
|315.6412
| 315.6412
|11.63144
| 11.63144
|Minor 3rd
| Minor 3rd
| m3
| m3
|F
| F
|-
|-
|10
| 10
|363.636
| 363.636
| 16/13
| [[16/13]]
|359.4723
| 359.4723
|4.164025
| 4.164025
|Major 3rd
| Major 3rd
|M3
| M3
|F#
| F#
|-
|-
|11
| 11
|400.000
| 400.000
|5/4
| [[5/4]]
|386.3137
| 386.3137
| 13.686286
| 13.686286
|Augmented 3rd
| Augmented 3rd
| A3
| A3
|Fx
| Fx
|-
|-
|12
| 12
|436.364
| 436.364
|9/7
| [[9/7]]
|435.0841
| 435.0841
| 1.2795411
| 1.2795411
|Double-dim 4th
| Double-dim 4th
|dd4
| dd4
|Gbb
| Gbb
|-
|-
|13
| 13
|472.727
| 472.727
|21/16
| [[21/16]]
|470.7809
| 470.7809
|1.9463653
| 1.9463653
|Diminished 4th
| Diminished 4th
|d4
| d4
|Gb
| Gb
|-
|-
| 14
| 14
|509.091
| 509.091
|4/3
| [[4/3]]
|498.0449
| 498.0449
|11.0459099
| 11.0459099
|Perfect 4th
| Perfect 4th
| P4
| P4
|G
| G
|-
|-
| 15
| 15
|545.455
| 545.455
|11/8
| [[11/8]]
|551.3179
| 551.3179
| -5.863396
| -5.863396
|Augmented 4th
| Augmented 4th
|A4
| A4
|G#
| G#
|-
|-
|16
| 16
|581.818
| 581.818
|7/5
| [[7/5]]
|582.5129
| 582.5129
| -0.694010
| -0.694010
|Double-aug 4th
| Double-aug 4th
|AA4
| AA4
|Gx
| Gx
|-
|-
|17
| 17
|618.182
| 618.182
|10/7
| [[10/7]]
|617.4878
| 617.4878
|0.694010
| 0.694010
|Double-dim 5th
| Double-dim 5th
|dd5
| dd5
|Abb
| Abb
|-
|-
|18
| 18
|654.545
| 654.545
|16/11
| [[16/11]]
|648.6821
| 648.6821
| 5.863396
| 5.863396
|Diminished 5th
| Diminished 5th
|d5
| d5
|Ab
| Ab
|-
|-
|19
| 19
|690.909
| 690.909
|3/2
| [[3/2]]
|701.9550
| 701.9550
| -11.0459099
| -11.0459099
|Perfect 5th
| Perfect 5th
|P5
| P5
|A
| A
|-
|-
|20
| 20
|727.273
| 727.273
|32/21
| [[32/21]]
| 729.2191
| 729.2191
| -1.9463653
| -1.9463653
|Augmented 5th
| Augmented 5th
|A5
| A5
|A#
| A#
|-
|-
|21
| 21
|763.636
| 763.636
|14/9
| [[14/9]]
|764.9159
| 764.9159
|<nowiki>-1.2795411</nowiki>
| <nowiki>-1.2795411</nowiki>
|Double-aug 5th
| Double-aug 5th
|AA5
| AA5
|Ax
| Ax
|-
|-
| 22
| 22
|800.000
| 800.000
|8/5
| [[8/5]]
|813.6862
| 813.6862
| -13.686286
| -13.686286
|Double-dim 6th
| Double-dim 6th
|d6
| d6
|Bbb
| Bbb
|-
|-
|23
| 23
|836.364
| 836.364
|13/8
| [[13/8]]
|840.5276
| 840.5276
|<nowiki>-4.164025</nowiki>
| <nowiki>-4.164025</nowiki>
|Minor 6th
| Minor 6th
|m6
| m6
|Bb
| Bb
|-
|-
|24
| 24
|872.727
| 872.727
|5/3
| [[5/3]]
|884.3587
| 884.3587
|<nowiki>-11.63144</nowiki>
| <nowiki>-11.63144</nowiki>
|Major 6th
| Major 6th
|M6
| M6
|B
| B
|-
|-
|25
| 25
|909.091
| 909.091
|22/13
| [[22/13]]
|910.7903
| 910.7903
|<nowiki>-1.699371</nowiki>
| <nowiki>-1.699371</nowiki>
|Augmented 6th
| Augmented 6th
|A6
| A6
|B#
| B#
|-
|-
|26
| 26
|945.455
| 945.455
|12/7
| [[12/7]]
|933.1291
| 933.1291
|12.325451
| 12.325451
|Double-aug 6th/Double-dim 7th
| Double-aug 6th/Double-dim 7th
|AA6/dd7
| AA6/dd7
|Bx/Cbb
| Bx/Cbb
|-
|-
|27
| 27
|981.818
| 981.818
| 7/4
| [[7/4]]
|968.8259
| 968.8259
|12.9922753
| 12.9922753
|Diminished 7th
| Diminished 7th
| d7
| d7
|Cb
| Cb
|-
|-
|28
| 28
|1018.182
| 1018.182
|9/5
| [[9/5]]
|1017.596
| 1017.596
|0.58553
| 0.58553
|Minor 7th
| Minor 7th
|m7
| m7
|C
| C
|-
|-
|29
| 29
|1054.545
| 1054.545
|11/6
| [[11/6]]
|1049.363
| 1049.363
|5.182513
| 5.182513
|Major 7th
| Major 7th
|M7
| M7
|C#
| C#
|-
|-
|30
| 30
|1090.909
| 1090.909
| 15/8
| [[15/8]]
|1088.268
| 1088.268
|2.64037
| 2.64037
|Augmented 7th
| Augmented 7th
|A7
| A7
|Cx
| Cx
|-
|-
|31
| 31
|1127.273
| 1127.273
|23/12
| [[23/12]]
|1126.319
| 1126.319
|<nowiki>-0.95338</nowiki>
| <nowiki>-0.95338</nowiki>
|Double-dim 8ve
| Double-dim 8ve
|dd8
| dd8
|Dbb
| Dbb
|-
|-
|32
| 32
|1163.636
| 1163.636
|47/24
| [[47/24]]
|1163.551
| 1163.551
|0.084742
| 0.084742
|Diminished 8ve
| Diminished 8ve
|d8
| d8
|Db
| Db
|-
|-
|33
| 33
|1200
| 1200
|2/1
| [[2/1]]
|1200
| 1200
|0
| 0
|Perfect Octave
| Perfect Octave
|P8
| P8
|D
| D
|}
|}


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