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 1L 4s<3/1>, 5L 1s<3/1>, 6L 5s<3/1>, and 11L 6s<3/1>. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]] and [[45edt]].
{{todo|rewrite, polish interval chain table|inline=1}}
WIP
'''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}}.  
 
== Etymology ==
It was first discovered by [[User:CompactStar|CompactStar]] in 2023. The name is most likely just because of the existing theme of several tritave-equivalent temperaments being named after stars.
 
== Interval chain (POTE tuning) ==
{| class="wikitable"
|-
! Generators up
! Cents
! Generators down
! Cents
|-
| 0
| 0.00
| 0
| 0.00
|-
| 1
| 340.24
| 1
| 1561.72
|-
| 2
| 680.48
| 2
| 1221.48
|-
| 3
| 1020.72
| 3
| 881.24
|-
| 4
| 1360.96
| 4
| 541.00
|-
| 5
| 1701.20
| 5
| 200.76
|-
| 6
| 139.48
| 6
| 1762.48
|-
| 7
| 479.72
| 7
| 1422.24
|-
| 8
| 819.96
| 8
| 1082.00
|-
| 9
| 1160.20
| 9
| 741.76
|}
 
== Temperament data ==
For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].
 
[[Category:Deneb| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Non-octave temperaments]]