Ploidacot/Omega-tetracot - Revision history

Xenllium at 22:36, 7 January 2026

2026-01-07T22:36:54Z

← Older revision		Revision as of 22:36, 7 January 2026
Line 143:		Line 143:
	An obvious interpretation for omega-tetracot is [[negri]], where the generator is [[16/15]]~[[15/14]] and four of them make a perfect fourth. There are some extensions for full 11- and 13-limit: negri (10 & 19), negril (10e & 19), negric (9 & 19e), and negroni (10 & 19e).		An obvious interpretation for omega-tetracot is [[negri]], where the generator is [[16/15]]~[[15/14]] and four of them make a perfect fourth. There are some extensions for full 11- and 13-limit: negri (10 & 19), negril (10e & 19), negric (9 & 19e), and negroni (10 & 19e).

	[[Category:Ploidacots]]		[[Category:Ploidacots\|Omega-tetracot]]

FloraC: Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

2026-01-06T09:43:12Z

Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

← Older revision		Revision as of 09:43, 6 January 2026
Line 143:		Line 143:
	An obvious interpretation for omega-tetracot is [[negri]], where the generator is [[16/15]]~[[15/14]] and four of them make a perfect fourth. There are some extensions for full 11- and 13-limit: negri (10 & 19), negril (10e & 19), negric (9 & 19e), and negroni (10 & 19e).		An obvious interpretation for omega-tetracot is [[negri]], where the generator is [[16/15]]~[[15/14]] and four of them make a perfect fourth. There are some extensions for full 11- and 13-limit: negri (10 & 19), negril (10e & 19), negric (9 & 19e), and negroni (10 & 19e).

	[[Category:~~Ploidacot~~]]		[[Category:Ploidacots]]

Xenllium: Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=3|Cots=4|Pergen=[P8, P4/4]|Forms=9, 10, 19, 29|Title=Omega-tetracot (gamma-tetracot)|Wedgie=4}} '''Omega-tetracot''' is a temperament archetype where the generator is a wide semitone, four of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-tetracot temperaments typically generate the 9L 1s and 10L 9s MOS scales, and containing all alpha-dicot i..."

2026-01-05T08:33:24Z

Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=3|Cots=4|Pergen=[P8, P4/4]|Forms=9, 10, 19, 29|Title=Omega-tetracot (gamma-tetracot)|Wedgie=4}} '''Omega-tetracot''' is a temperament archetype where the generator is a wide semitone, four of which make a perfect fourth of 4/3, and the period is a 2/1 octave. Omega-tetracot temperaments typically generate the 9L 1s and 10L 9s MOS scales, and containing all alpha-dicot i..."

New page

{{Breadcrumb}}
{{Infobox ploidacot|Ploids=1|Shears=3|Cots=4|Pergen=[P8, P4/4]|Forms=9, 10, 19, 29|Title=Omega-tetracot (gamma-tetracot)|Wedgie=4}}
'''Omega-tetracot''' is a temperament archetype where the generator is a wide semitone, four of which make a perfect fourth of [[4/3]], and the period is a [[2/1]] octave. Omega-tetracot temperaments typically generate the [[9L 1s]] and [[10L 9s]] MOS scales, and containing all [[Ploidacot/Alpha-dicot|alpha-dicot]] intervals.

== Intervals and notation ==
There is no agreed-upon notation for omega-tetracot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the ''inversed'' double-diminished second (the difference between two chromatic semitones and one diatonic semitone). Note and interval names are provided where omega-tetracot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).

{| class="wikitable"
|+ style="font-size: 105%;" | Omega-tetracot intervals (assuming pure fifth and octave)
|-
! #
! Cents
! Notation
! Name
|-
| −12
| 905.87
| A
| major sixth
|-
| −11
| 1030.38
|
|
|-
| −10
| 1154.89
|
|
|-
| −9
| 79.40
|
|
|-
| −8
| 203.91
| D
| major second
|-
| −7
| 328.42
|
|
|-
| −6
| 452.93
|
|
|-
| −5
| 577.44
|
|
|-
| −4
| 701.96
| G
| perfect fifth
|-
| −3
| 826.47
|
|
|-
| −2
| 950.98
|
|
|-
| −1
| 1075.49
|
|
|-
| 0
| 0.00
| C
| perfect unison
|-
| 1
| 124.51
|
|
|-
| 2
| 249.02
|
|
|-
| 3
| 373.53
|
|
|-
| 4
| 498.04
| F
| perfect fourth
|-
| 5
| 622.56
|
|
|-
| 6
| 747.07
|
|
|-
| 7
| 871.58
|
|
|-
| 8
| 996.09
| Bb
| minor seventh
|-
| 9
| 1120.60
|
|
|-
| 10
| 45.11
|
|
|-
| 11
| 169.62
|
|
|-
| 12
| 294.13
| Eb
| minor third
|}

== Temperament interpretations ==
An obvious interpretation for omega-tetracot is [[negri]], where the generator is [[16/15]]~[[15/14]] and four of them make a perfect fourth. There are some extensions for full 11- and 13-limit: negri (10 & 19), negril (10e & 19), negric (9 & 19e), and negroni (10 & 19e).

[[Category:Ploidacot]]