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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. | | '''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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| {| class="wikitable" | | {| class="wikitable" |
| |+ | | |+ |
| ! colspan="4" |Major tenths | | ! colspan="4" |Major tenth |
| ! 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
| |
| |}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''
| |
| |
| |
|
| |
|
| == See also == | | == See also == |
| * [[16edX|16EDX]]
| |
| * [[12edo|12EDO]] - relative EDO | | * [[12edo|12EDO]] - relative EDO |
| * [[28ed5|28ED5]] - relative ED5 | | * [[28ed5|28ED5]] - relative ED5 |
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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]] |
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| [[Category:Ed5/2]]
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| [[Category:Nonoctave]] | | [[Category:Nonoctave]] |