16ed5/2: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''16ED5/2''' is the equal division of the [[5/2]] interval into 16 parts of 99.1446 [[cent]]s each. This is the scale which occurs as the dominant reformed Mixolydian mode tuned as an equal division of a just interval. 16 equal divisions of the just major tenth is not a "real" xenharmonic tuning; it is a slightly compressed version of the normal [[12edo|12-tone scale]].  
'''16ED5/2''' is the equal division of the [[5/2]] interval into 16 parts of 99.1446 [[cent]]s each. 16 equal divisions of the just major tenth is not a "real" xenharmonic tuning; it is a slightly compressed version of the normal [[12edo|12-tone scale]].  
== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
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|}
|}


Coincidentally, 133 steps of the pyrite EDX of this size exceed 11 octaves by only 2.978¢.
== Harmonics ==
{{Harmonics in equal
| steps = 16
| num = 5
| denom = 2
}}
{{Harmonics in equal
| steps = 16
| num = 5
| denom = 2
| start = 12
| collapsed = 1
}}


== Regular temperaments ==
== Regular temperaments ==
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! Period
! Period
!Notes
!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
|9\7
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|104.1{{Overline|6}}
|104.1{{Overline|6}}
|
|
|-
|7\5
|
|
|
|105
|Mixolydian-Ionian mode ends
|}
|}


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* [[18/17 equal-step tuning|AS18/17]] - relative [[AS|ambitonal sequence]]
* [[18/17 equal-step tuning|AS18/17]] - relative [[AS|ambitonal sequence]]


[[Category:Ed5/2]]
[[Category:Nonoctave]]
[[Category:Nonoctave]]