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'''16edX''' is the scale which occurs as the dominant reformed Mixolydian mode. It also gives the period of the 16th-decade Roccocavallo branch of the Carrera temperament family.
#redirect [[16ed5/2]]
== Intervals==
{| class="wikitable"
|+
! colspan="4" |Decade
! Period
!Notes
|-
| 6\5
|
|
|
|90
|Intense Aeolian-Subpental Dorian mode begins
|-
|
|17\14
|
|
| 91.071
|
|-
|11\9
|
|
|
|91.{{Overline|6}}
| Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|
|16\13
|
|
| 92.308
|
|-
|5\4
|
|
|
|93.75
|Subpental Dorian mode ends, Pental Dorian mode begins
|-
|
|
|24\19
|
|94.737
|
|-
|
|19\15
|
|
|95
|
|-
|14\11
|
|
|
|95.{{Overline|45}}
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|
| 23\18
|
|
|95.8{{Overline|3}}
|
|-
|9\7
|
|
|
|96.429
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|
|31\24
|
|
|96.875
|
|-
|22\17
|
|
|
|97.059
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|
|35\27
|
|
|97.{{Overline|2}}
|
|-
| 13\10
|
|
|
|97.5
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|-
|17\13
|
|
|
|98.077
|
|-
|21\16
|
|
|
|98.4375
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|
|25\19
|
|
|98.684
|
|-
|
|
|29\22
|
|98.8{{Overline|63}}
|
|-
|
|
|
|33\25
|99
|
|-
|4\3
|
|
|
|100
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|
| 19\14
|
|
|101.786
|
|-
|15\11
|
|
|
|102.{{Overline|27}}
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|
|26\19
|
|
|102.632
|
|-
|11\8
|
|
|
|103.125
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|
|18\13
|
|
|103.846
|
|-
|
|
|25\18
|
|104.1{{Overline|6}}
|
|-
|7\5
|
|
|
|105
|Mixolydian-Ionian mode ends
|}Relative cents
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="3" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
|1
|1#/2b
|G#/Jb
|''G#/Ab''
|90.625
|''93.75''
|-
|2
| 2
|J
|''A''
|181.25
|''187.5''
|-
|3
|2#/3b
|J#/Ab
|''A#/Bb''
|271.875
|''281.25''
|-
|4
|3
|J
|''B''
|362.5
|''375''
|-
|5
|3#/4b
|J#/Ab
|B#/Cb
|453.125
|''468.75''
|-
|6
|4
|A
|''C''
|543.75
|''562.5''
|-
|7
|5
|A#/Bb
|''C#/Qb''
|633.375
|''656.25''
|-
|8
|5#/6b
|B
|''Q''
|725
|''750''
|-
|9
|6
|C
|''D''
|815.625
|''843.75''
|-
|10
|6#/7b
| C#/Db
|D#/Sb
|906.25
|''937.5''
|-
|11
|7
|D
|''S''
|996.875
|''1031.25''
|-
|12
| 7#/8b
|D#/Eb
|''S#/Eb''
|1087.5
|''1125''
|-
|13
|8
| colspan="2" | E
|1178.125
|''1218.75''
|-
|14
|8#/9b
| colspan="2" |E#/Fb
|1268.75
|''1312.5''
|-
|15
|9
| colspan="2" |F
|1359.375
|''1406.25''
|-
|16
|1
| colspan="2" |G
|1450
|''1500''
|}
{| 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==
*[[16ed5/2]] - equal division of the classic major tenth
*[[16ed7/3]] - equal division of the septimal minor tenth
 
[[Category:16-tone scales]]
[[Category:EdX]]

Revision as of 00:19, 23 May 2023

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