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{{Breadcrumb}}
{{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=0|Cots=1|Pergen=[P8/2, P5]|Forms=10, 12, 22|Title=Diploid monocot|Wedgie=2}}
'''Diploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is half a [[2/1]] octave, or 600{{c}}. The generator can also be characterized as a perfect fourth [[4/3]], or as a "perfect semitone" <math>\frac{3}{2\sqrt{2}}</math>. Diploid monocot temperaments usually generate the [[2L&nbsp;8s]] MOS structure and either [[2L&nbsp;10s]] (and thus [[12L&nbsp;2s]]) or [[10L&nbsp;2s]] as children.


'''Diploid monocot''' is a temperament archetype where the generator is a [[3/2]] perfect fifth and the period is half a [[2/1]] octave, or 600 cents. The generator can also be characterized as a perfect fourth [[4/3]], or as a "perfect semitone" 3/(2*sqrt2). Diploid monocot temperaments usually generate the [[2L 8s]] MOS structure and either [[2L 10s]] (and thus [[12L 2s]]) or [[10L 2s]] as children.
== Intervals and notation ==
Diploid monocot 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 monocot intervals align with standard monocot intervals.


== Notation ==
Diploid monocot 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 monocot intervals align with standard monocot intervals.
{| class="wikitable"
{| class="wikitable"
|+Diploid monocot intervals (assuming pure fifth and octave)
|+ style="font-size: 105%;" | Diploid monocot intervals (assuming pure fifth and octave)
! colspan="4" rowspan="1" |Ploid 1
|-
! colspan="4" rowspan="1" |Ploid 2
! rowspan="2" | #
! colspan="3" | Ploid 1
! colspan="3" | Ploid 2
|-
! Cents
! Notation
! Name
! Cents
! Notation
! Name
|-
|-
!#
| −6
!Cents
| 588.27
!Name
| Gb
!Notation
| diminished fifth
!#
| 1188.27
!Cents
| —
!Name
| —
!Notation
|-
|-
| -5
| −5
|90.23
| 90.22
|minor second
| Db
|Db
| minor second
| -5
| 690.22
|690.23
| —
| -
| —
| -
|-
|-
| -4
| −4
|192.18
| 192.18
| -
| —
| -
| —
| -4
| 792.18
|792.18
| Ab
|minor sixth
| minor sixth
|Ab
|-
|-
| -3
| −3
|294.14
| 294.13
|minor third
| Eb
|Eb
| minor third
| -3
| 894.13
|894.14
| —
| -
| —
| -
|-
|-
| -2
| −2
|396.09
| 396.09
| -
| —
| -
| —
| -2
| 996.09
|996.09
| Bb
|minor seventh
| minor seventh
|Bb
|-
|-
| -1
| −1
|498.05
| 498.04
|perfect fourth
| F
|F
| perfect fourth
| -1
| 1098.04
|1,098.05
| —
| -
| —
| -
|-
|-
|0
| 0
|0
| 0
|unison
| C
|C
| unison
|0
| 600
|600
| —
| -
| —
| -
|-
|-
|1
| 1
|101.96
| 101.96
| -
| —
| -
| —
|1
| 701.96
|701.96
| G
|perfect fifth
| perfect fifth
|G
|-
|-
|2
| 2
|203.91
| 203.91
|major second
| D
|D
| major second
|2
| 803.91
|803.91
| —
| -
| —
| -
|-
|-
|3
| 3
|305.87
| 305.87
| -
| —
| -
| —
|3
| 905.87
|905.87
| A
|major sixth
| major sixth
|A
|-
|-
|4
| 4
|407.82
| 407.82
|major third
| E
|E
| major third
|4
| 1007.82
|1,007.82
| —
| -
| —
| -
|-
|-
|5
| 5
|509.78
| 509.78
| -
| —
| -
| —
|5
| 1109.78
|1,109.78
| B
|major seventh
| major seventh
|B
|-
| 6
| 11.73
| —
| —
| 611.73
| F#
| augmented fourth
|}
|}


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=== Diaschismic ===
=== Diaschismic ===
Diaschismic sets [[3/2]] equal to [[16/15]] plus a semioctave, setting the semioctave equal to [[45/32]]~[[64/45]], and mapping [[5/4]] to 2 generators down. Diaschismic naturally extends to prime 17 by setting the flat 16/15 generator also equal to [[17/16]]. Diaschismic is tuned best with fifths slightly sharp of just.
Diaschismic sets [[3/2]] equal to [[16/15]] plus a semioctave, setting the semioctave equal to {{nowrap|[[45/32]]~[[64/45]]}}, and mapping [[5/4]] to 2 generators down. Diaschismic naturally extends to prime 17 by setting the flat 16/15 generator also equal to [[17/16]]. Diaschismic is tuned best with fifths slightly sharp of just.


To extend to the 7-limit, 7/5 can be set equal to the semioctave, meaning 7/4 is a semioctave above 5/4. This suggests tuning the generator to about 709 cents (or equivalently 109 cents).
To extend to the 7-limit, a simple mapping ([[pajara]]) sets 7/5 equal to the semioctave, meaning 7/4 is a semioctave above 5/4. This suggests tuning the generator to about 709{{c}} (or equivalently 109{{c}}). With a slightly less sharp fifth, septimal diaschismic maps 7/4 to 8 generators down.


=== Injera ===
=== Injera ===
Injera extends [[meantone]] by setting 7/5 equal to 10/7, so that both [[5/4]] and [[7/4]] are found at 4 generators up, offset by a 600-cent tritone representing 7/5.
Injera extends [[meantone]] by setting 7/5 equal to 10/7, so that both [[5/4]] and [[7/4]] are found at 4 generators up, offset by a 600{{c}} tritone representing both 7/5 and 10/7.
 
=== Kalismic ===
Kalismic sets the semioctave to [[99/70]]~[[140/99]], so that [[10/9]] and [[11/7]] are a semioctave apart, as well as are [[11/10]] and [[14/9]]. The tone is split into two [[35/33]] semitones, and the [[Pythagorean comma]] into two [[2835/2816|fwiwismas]].
[[Category:Ploidacots|Diploid monocot]]
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