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Created page with "{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=4|Cots=5|Pergen=[P8, P4/5]|Forms=12, 13, 25, 37|Title=Omega-pentacot|Wedgie=5}} '''Omega-pentacot''' is a temperament archetype where the generator is a semitone, five of which stack to form a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-pentacot temperaments usually generate the 1L 11s and 12L 1s MOS structures. Regular temperaments of omega-pentacot are Cluster MOS|cluster tem..."
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{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=4|Cots=5|Pergen=[P8, P4/5]|Forms=12, 13, 25, 37|Title=Omega-pentacot|Wedgie=5}}
{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=4|Cots=5|Pergen=[P8, P4/5]|Forms=12, 13, 25, 37|Title=Omega-pentacot|Wedgie=5}}
'''Omega-pentacot''' is a temperament archetype where the generator is a semitone, five of which stack to form a perfect fourth of [[4/3]], and the period is a [[2/1]] octave. Omega-pentacot temperaments usually generate the [[1L 11s]] and [[12L 1s]] MOS structures. Regular temperaments of omega-pentacot are [[Cluster MOS|cluster temperaments]] with 12 clusters of notes in an octave.
'''Omega-pentacot''' is a temperament archetype where the generator is a semitone, five of which stack to form a perfect fourth of [[4/3]], and the period is a [[2/1]] octave. Omega-pentacot temperaments usually generate the [[1L 11s]] and [[12L 1s]] MOS structures. Regular temperaments of omega-pentacot are [[Cluster MOS|cluster temperaments]] with 12 clusters of notes in an octave.
== Intervals and notation ==
Due to dividing the fifth into so many steps, standard notation becomes almost useless for omega-pentacot. Regardless, notation has been provided for where [[Ploidacot/Monocot|monocot]] intervals appear in this system.
{| class="wikitable"
|+ style="font-size: 105%;" | Omega-pentacot intervals (assuming pure fifth and octave)
|-
! #
! Cents
! Notation
! Name
|-
| −16
| 806.256
|
|
|-
| −15
| 905.865
| A
| major sixth
|-
| −14
| 1005.474
|
|
|-
| −13
| 1105.083
|
|
|-
| −12
| 4.692
|
|
|-
| −11
| 104.301
|
|
|-
| −10
| 203.910
| D
| major second
|-
| −9
| 303.519
|
|
|-
| −8
| 403.128
|
|
|-
| −7
| 502.737
|
|
|-
| −6
| 602.346
|
|
|-
| −5
| 701.955
| G
| perfect fifth
|-
| −4
| 801.564
|
|
|-
| −3
| 901.173
|
|
|-
| −2
| 1000.782
|
|
|-
| −1
| 1100.391
|
|
|-
| 0
| 0.000
| C
| perfect unison
|-
| 1
| 99.609
|
|
|-
| 2
| 199.218
|
|
|-
| 3
| 298.827
|
|
|-
| 4
| 398.436
|
|
|-
| 5
| 498.045
| F
| perfect fourth
|-
| 6
| 597.654
|
|
|-
| 7
| 697.263
|
|
|-
| 8
| 796.872
|
|
|-
| 9
| 896.481
|
|
|-
| 10
| 996.090
| Bb
| minor seventh
|-
| 11
| 1095.699
|
|
|-
| 12
| 1195.308
|
|
|-
| 13
| 94.917
|
|
|-
| 14
| 194.526
|
|
|-
| 15
| 294.135
| Eb
| minor third
|-
| 16
| 393.744
|
|
|}


== Temperament interpretations ==
== Temperament interpretations ==
Retrieved from "https://en.xen.wiki/w/Ploidacot/Omega-pentacot"