Xenllium: Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=8|Cots=9|Pergen=[P8, P4/9]|Forms=21, 22, 43|Title=Omega-enneacot|Wedgie=9}} '''Omega-enneacot''' is a temperament archetype where the generator is a quartertone, nine of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-enneacot temperaments also include all omega-tricot intervals, as the omega-tricot generator is split further into three. Omega-enneacot tempera..."

2026-01-08T10:58:46Z

Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=8|Cots=9|Pergen=[P8, P4/9]|Forms=21, 22, 43|Title=Omega-enneacot|Wedgie=9}} '''Omega-enneacot''' is a temperament archetype where the generator is a quartertone, nine of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-enneacot temperaments also include all omega-tricot intervals, as the omega-tricot generator is split further into three. Omega-enneacot tempera..."

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{{Breadcrumb}}
{{Infobox ploidacot|Ploids=1|Shears=8|Cots=9|Pergen=[P8, P4/9]|Forms=21, 22, 43|Title=Omega-enneacot|Wedgie=9}}
'''Omega-enneacot''' is a temperament archetype where the generator is a quartertone, nine of which make a perfect fourth of [[4/3]], and the period is a [[2/1]] octave. Omega-enneacot temperaments also include all [[Ploidacot/Omega-tricot|omega-tricot]] intervals, as the omega-tricot generator is split further into three.

Omega-enneacot temperaments generate the [[21L 1s]] MOS scale, and are mostly famous in the form of the [[9ed4/3|Noleta]] scale, which is usually perceived as multiple independent chains of omega-enneacot generators offset by octaves.

== Intervals and notation ==
Due to dividing the fourth into so many steps, standard notation becomes almost useless for omega-enneacot. Regardless, notation has been provided for where [[Ploidacot/Monocot|monocot]] intervals appear in this system.

{| class="wikitable"
|+ style="font-size: 105%;" | Omega-enneacot intervals (assuming pure fifth and octave)
|-
! #
! Cents
! Notation
! Name
|-
| −11
| 591.278
|
|
|-
| −10
| 646.617
|
|
|-
| −9
| 701.955
| G
| perfect fifth
|-
| −8
| 757.293
|
|
|-
| −7
| 812.632
|
|
|-
| −6
| 867.970
|
|
|-
| −5
| 923.308
|
|
|-
| −4
| 978.647
|
|
|-
| −3
| 1033.985
|
|
|-
| −2
| 1089.323
|
|
|-
| −1
| 1144.662
|
|
|-
| 0
| 0.000
| C
| perfect unison
|-
| 1
| 55.338
|
|
|-
| 2
| 110.677
|
|
|-
| 3
| 166.015
|
|
|-
| 4
| 221.353
|
|
|-
| 5
| 276.692
|
|
|-
| 6
| 332.030
|
|
|-
| 7
| 387.368
|
|
|-
| 8
| 442.707
|
|
|-
| 9
| 498.045
| F
| perfect fourth
|-
| 10
| 553.383
|
|
|-
| 11
| 608.722
|
|
|}

== Temperament interpretations ==
=== Escapade ===
[[Escapade]] is the standard [[regular temperament]] interpretation of the Noleta scale as an ET. The generator represents [[33/32]], two of them give [[16/15]], three of them give [[11/10]], seven of them give [[5/4]], and ten of them give [[11/8]].

[[Category:Ploidacots|Omega-enneacot]]

Ploidacot/Omega-enneacot - Revision history