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{{Infobox ploidacot|Ploids=2|Shears=1|Cots=2|Pergen=[P8/2, P4/3]|Forms=16, 18, 20, 22|Title=Diploid alpha-tricot}}
{{Infobox ploidacot|Ploids=2|Shears=1|Cots=2|Pergen=[P8/2, M2/4]|Forms=18, 20, 22, 24|Title=Diploid alpha-dicot|Wedgie=4}}


'''Diploid alpha-dicot''' is a temperament archetype with a half-octave period, and a generator of a quartertone. In a pure tuning, this is exactly a quarter of [[9/8]].
'''Diploid alpha-dicot''' is a temperament archetype with a half-octave period, and a generator of a quartertone. In a pure tuning, this is exactly a quarter of [[9/8]].
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== Intervals and notation ==
== Intervals and notation ==
The notation for diploid alpha-dicot is rather complicated, and there are two main options. The generator could be considered a semiaugmented unison or an inframinor second. However, the former is rather more natural.
Diploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where diploid alpha-dicot intervals align with standard monocot intervals.


{| class="wikitable"
|+ style="font-size: 105%;" | Diploid alpha-dicot intervals (assuming pure fifth and octave)
|-
! rowspan="2" | #
! colspan="3" | Ploid 1
! colspan="3" | Ploid 2
|-
! Cents
! Notation
! Name
! Cents
! Notation
! Name
|-
| −6
| 294.13
| Eb
| minor third
| 894.13
| —
| —
|-
| −5
| 345.11
| —
| —
| 945.11
| —
| —
|-
| −4
| 396.09
| —
| —
| 996.09
| Bb
| minor seventh
|-
| −3
| 447.07
| —
| —
| 1047.07
| —
| —
|-
| −2
| 498.04
| F
| perfect fourth
| 1098.04
| —
| —
|-
| −1
| 549.02
| —
| —
| 1149.02
| —
| —
|-
| 0
| 0
| C
| unison
| 600
| —
| —
|-
| 1
| 50.98
| —
| —
| 650.98
| —
| —
|-
| 2
| 101.96
| —
| —
| 701.96
| G
| perfect fifth
|-
| 3
| 152.93
| —
| —
| 752.93
| —
| —
|-
| 4
| 203.91
| D
| major second
| 803.91
| —
| —
|-
| 5
| 254.89
| —
| —
| 854.89
| —
| —
|-
| 6
| 305.87
| —
| —
| 905.87
| A
| major sixth
|}


== Temperament interpretations ==
Perhaps the most typical interpretation of this ploidacot is [[shrutar]]. The period is [[45/32]][[~]][[64/45]], and the generator is [[33/32]][[~]][[36/35]], so that [[3/2]] is a period up two generators, [[5/4]] is found at a period down four generators, [[7/4]] at a period up seven generators, and [[11/8]] at a period down one generator. [[17/16]] can represent two generators, and the period can be expressed as [[17/12]][[~]][[24/17]] in the 17-limit. The generator is ideally tuned slightly sharp of pure-3 tuning.


== Temperament interpretations ==
[[Category:Ploidacots|Diploid alpha-dicot]]
Perhaps the most typical interpretation of this ploidacot is [[shrutar]]. The period is [[45/32]][[~]][[64/45]], and the generator is [[33/32]][[~]][[36/35]]. [[5/4]] is found at a period down four generators, [[7/4]] at a period up seven generators, and [[11/8]] at a period down one generator.
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