Deneb: Difference between revisions

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'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup~~, the amount~~ by ~~which 4~~ [[11/9]]~~'s exceed~~ [[11/5]]~~. Having a generator of ~~~[[11/9]]~~, it~~ possesses [[MOS scale]]s of the families {{~~nowrap~~|1L 4s~~{{angbr|~~3/1}}|5L 1s~~{{angbr|~~3/1}}|6L 5s~~{{angbr|~~3/1}}|and ~~11L 6s~~{{~~angbr~~|3/1}}~~}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]], and [[45edt]]~~.

{{Todo|inline=1|complete page|comment=Add infobox. Rewrite, polish interval table. Add tunings section. }}

'''Deneb''' is a [[nonoctave]], [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma [[6655/6561]] in the 3.5.11 subgroup. It is generated by a neutral third that represents a flat [[11/9]], and three generators stacked represent [[9/5]] (and due to tritave-equivalence, -3 generators stacked represents [[5/3]]). It possesses [[MOS scale]]s of the families {{mos scalesig|1L 4s<3/1>|link=1}}, {{mos scalesig|5L 1s<3/1>|link=1}}, {{mos scalesig|6L 5s<3/1>|link=1}}, and {{mos scalesig|11L 6s<3/1>|link=1}}.

== ~~Interval chain (POTE tuning)~~ ==

This temperament was first discovered and named by {{u|CompactStar}} in 2023 after the star {{w|Deneb}}, following a series of non-octave temperaments that are named after stars.

For technical data, see [[No-twos subgroup temperaments #Deneb]].

== Intervals ==

{| class="wikitable"

|-

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|}

~~== Harmony ==~~

[[Category:Deneb| ]]

Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.

[[Category:Rank-2 temperaments]]

[[Category:Non-octave temperaments]]

~~== Temperament data ==~~

~~For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].~~

[[Category:~~Temperaments]]~~

~~[[Category:Nonoctave~~]]

[[Category:Rank 2]]

[[Category:~~Tritave~~-~~equivalent~~ temperaments]]

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-'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{nowrap|1L 4s{{angbr|3/1}}|5L 1s{{angbr|3/1}}|6L 5s{{angbr|3/1}}|and 11L 6s{{angbr|3/1}}}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]], and [[45edt]].
+{{Todo|inline=1|complete page|comment=Add infobox. Rewrite, polish interval table. Add tunings section. }}
+'''Deneb''' is a [[nonoctave]], [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma [[6655/6561]] in the 3.5.11 subgroup. It  is generated by a neutral third that represents a flat [[11/9]], and three generators stacked represent [[9/5]] (and due to tritave-equivalence, -3 generators stacked represents [[5/3]]). It possesses [[MOS scale]]s of the families {{mos scalesig|1L 4s<3/1>|link=1}}, {{mos scalesig|5L 1s<3/1>|link=1}}, {{mos scalesig|6L 5s<3/1>|link=1}}, and {{mos scalesig|11L 6s<3/1>|link=1}}.
-== Interval chain (POTE tuning) ==
+This temperament was first discovered and named by {{u|CompactStar}} in 2023 after the star {{w|Deneb}}, following a series of non-octave temperaments that are named after stars.
+For technical data, see [[No-twos subgroup temperaments #Deneb]].
+== Intervals ==
 {| class="wikitable"
 |-
@@ Line 60: / Line 65: @@
 |}
-== Harmony ==
+[[Category:Deneb| ]] <!-- main article -->
-Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.
+[[Category:Rank-2 temperaments]]
+[[Category:Non-octave temperaments]]
-== Temperament data ==
-For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].
-[[Category:Temperaments]]
-[[Category:Nonoctave]]
-[[Category:Rank 2]]
-[[Category:Tritave-equivalent temperaments]]