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User:Moremajorthanmajor/8edX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|+
|+
! colspan="5" | Decade
! Decade
!Period
!Period
!Notes
!Notes
|-
|-
|6\5
|6\5
|180.000
|Intense Aeolian-Subpental Dorian mode begins
|-
|29\24
|''181.250''
|
|
|-
|23\19
|181.579
|
|
|
|
|180
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
|
|17\14
|17\14
|
|
|
|182.143
|182.143
|
|
|-
|-
|11\9
|11\9
|
|183.333
|
|
|
|183.{{Overline|3}}
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|-
|
|16\13
|16\13
|
|
|
|184.615
|184.615
|
|
|-
|-
|
|
|21\17
|21\17
|
|
|185.294
|185.294
|
|
|-
|-
|
|
|
|26\21
|26\21
|
|185.714
|185.714
|
|
|-
|-
|
|
|
|
|31\25
|31\25
|186
|186.000
|
|
|-
|-
|5\4
|5\4
|
|187.500
|
|
|
|187,5
| Subpental Dorian mode ends, Pental Dorian mode begins
| Subpental Dorian mode ends, Pental Dorian mode begins
|-
|-
|
|
|
|
|34\27
|34\27
|188.{{Overline|8}}
|188.889
|
|
|-
|-
|
|
|
|29\23
|29\23
|
|189.130
|189.13
|
|
|-
|-
|
|
|24\19
|24\19
|
|
|189.474
|189.474
|
|
|-
|-
|
|19\15
|19\15
|
|190.000
|
|
|190
|
|
|-
|-
|14\11
|14\11
|
|190.909
|
|
|
|190.{{Overline|90}}
|Pental Dorian mode ends, Superpental Dorian mode begins
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|-
|
|23\18
|23\18
|
|191.667
|
|
|191.{{Overline|6}}
|
|
|-
|-
|9\7
|9\7
|
|
|
|
|192.857
|192.857
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|-
|
|31\24
|31\24
|
|193.000
|
|
|193
|
|
|-
|-
|22\17
|22\17
|
|
|
|
|194.118
|194.118
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
|
|35\27
|35\27
|
|194.444
|
|
|194.{{Overline|4}}
|
|
|-
|-
|13\10
|13\10
|
|195.000
|
|
|
|195
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|-
|-
|17\13
|17\13
|
|
|
|
|196.154
|196.154
|
|
|-
|-
|21\16
|21\16
|
|
|
|
|196.875
|196.875
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|-
|
|25\19
|25\19
|
|197.368
|
|
|197.37
|
|
|-
|-
|
|
|29\22
|29\22
|197.727
|
|
|-
|33\25
|198.000
|
|
|197.{{Overline|72}}
|-
|37\28
|198.214
|
|
|-
|-
|41\31
|198.387
|
|
|-
|45\34
|198.529
|
|
|-
|49\37
|198.649
|
|
|33\25
|-
|53\40
|198.750
|
|
|198
|-
|57\43
|198.837
|
|
|-
|-
|61\46
|198.913
|
|
|-
|65\49
|198.980
|
|
|
|-
|
|69\52
|37\28
|199.038
|
|
|
|-
|-
|4\3
|4\3
|200.000
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|35\26
|201.923
|
|
|-
|31\23
|202.174
|
|
|-
|27\20
|202.500
|
|
|-
|23\17
|202.941
|
|
|100
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|-
|
|19\14
|19\14
|
|203.571
|
|
|101.786
|
|
|-
|-
|15\11
|15\11
|
|204.545
|
|
|
|102.{{Overline|27}}
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|-
|
|26\19
|26\19
|
|205.263
|
|
|102.632
|
|
|-
|-
|11\8
|11\8
|
|206.250
|
|
|
|103.125
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|-
|
|18\13
|18\13
|207.692
|
|
|-
|25\18
|208.333
|
|
|-
|32\23
|208.696
|
|
|103.846
|-
|39\28
|208.929
|
|
|-
|-
|
|46\33
|
|209.091
| 25\18
|
|
|104.1{{Overline|6}}
|
|
|-
|-
|7\5
|7\5
|
|210.000
|
|
|
|105
|Mixolydian-Ionian mode ends
|Mixolydian-Ionian mode ends
|}Relative cents
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="3" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian-Mixolydian
|-
|1
|1#/2b
|G#/Jb
|''G#/Ab''
|''90.625''
|''93.75''
|''96.875''
|-
|2
|2
|J
|''A''
|''181.25''
|''187.5''
|''193.75''
|-
|3
|2#/3b
|J#/Ab
|''A#/Bb''
|''271.875''
|''281.25''
|''290.625''
|-
|4
|3
|J
|''B''
|''362.5''
|''375''
|''387.5''
|-
|5
|3#/4b
|J#/Ab
|B#/Cb
|''453.125''
|''468.75''
|''484.375''
|-
|6
|4
|A
|''C''
|''543.75''
|''562.5''
|''581.25''
|-
|7
|5
|A#/Bb
|''C#/Qb''
|''633.375''
|''656.25''
|''678.125''
|-
|8
|5#/6b
|B
|''Q''
|''725''
|''750''
|''775''
|-
|9
|6
|C
|''D''
|''815.625''
|''843.75''
|''871.875''
|-
|10
|6#/7b
|C#/Db
|D#/Sb
|''906.25''
|''937.5''
|''968.75''
|-
|11
|7
|D
|''S''
|''996.875''
|''1031.25''
|''1065.625''
|-
|12
|7#/8b
|D#/Eb
|''S#/Eb''
|''1087.5''
|''1125''
|''1162.5''
|-
| 13
|8
| colspan="2" |E
|''1178.125''
|''1218.75''
|''1259.375''
|-
|14
|8#/9b
| colspan="2" |E#/Fb
|''1268.75''
|''1312.5''
|''1356.25''
|-
|15
|9
| colspan="2" |F
|''1359.375''
|''1406.25''
|''1453.125''
|-
|16
|1
| colspan="2" |G
|''1450''
|''1500''
|''1550''
|}
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="3" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| | 1
|1#/2b
| colspan="2" |F#/Gb
|''100''
|''103.125''
|-
| |2
|2
| colspan="2" |G
|''200''
|''206.25''
|-
| |3
|2#/3b
|G#/Jb
|''G#/Ab''
|''300''
|''309.375''
|-
| |4
|3
|J
|''A''
|''400''
|''412.5''
|-
| |5
|3#/4b
|J#/Ab
|''A#/Bb''
|''500''
|''515.625''
|-
| |6
|4
|A
|''B''
|''600''
|''618.75''
|-
| | 7
|5
|B
|''H''
|''700''
|''721.875''
|-
|8
| 5#/6b
|B#/Hb
|''H#/Cb''
|''800''
|''825''
|-
|9
|6
|H
|''C''
|''900''
|''928.125''
|-
|10
|6#/7b
|H#/Cb
|''C#/Db''
|''1000''
|''1031.25''
|-
|11
|7
|C
|''D''
|''1100''
|''1134.375''
|-
|12
|7#/8b
|C#/Db
|''D#/Sb''
|''1200''
|''1237.5''
|-
|13
|8
|D
|''S''
|''1300''
|''1340.625''
|-
|14
|8#/9b
|D#/Eb
|''S#/Eb''
|''1400''
|''1443.75''
|-
|15
|9
| colspan="2" |E
|''1500''
|''1546.875''
|-
|16
|1
| colspan="2" |F
|''1600''
|''1650''
|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
==See also==
==See also==
*[[16ed5/2]] - equal division of the classic major tenth
*[[8ed5/2]] - equal division of the classic major tenth
*[[16ed7/3]] - equal division of the septimal minor tenth
*[[8ed7/3]] - equal division of the septimal minor tenth
 
[[Category:16-tone scales]]
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/8edX"